What is the area of a right triangle with a height of ten and one-half feet and a base of 33 feet? Please hurry!

Answers

Answer 1
The area is 173.25 ft²

Related Questions

Determine the present value P that must be invested to have the future A at simple interest rate r after time t A= $3000.00 r=15,0% t= 9 months Round up to nearest cent as needed

Answers

Answer:

$2696.63

Explanation:

The future value A and the present value P are related by the following equation

A = P(1 + rt)

Where r is the interest rate and t is the time.

Now, we need to convert 9 months to years as follows

9 months x 1 year / 12 months = 0.75 years

Then, replacing A = 3000, r = 15% = 0.15 and t = 0.75, we get:

3000 = P(1 + 0.15(0.75))

3000 = P(1 + 0.1125)

3000 = P(1.1125)

Now, we can solve for P

P = 3000/1.1125

P = 2696.63

Therefore, the present value is $2696.63

A lumber company has 40,000
boards in stock. A construction
company bought 500 boards for
each of its construction projects. If
the lumber company has 12,000
boards left, how many construction
projects did the company have?

Answers

Answer:

12500

Step-by-step explanation:

we all know this is not high school math -_-

Given the following formula, solve for a.

Given the following formula, solve for a.

Answers

Answer:

A. a = 2s - b -c

Step-by-step explanation:

Rearrange the equation in a way that you have only a on one side. When solving equations you can add, subtract, multiply or divide by the same number/variable/expression on the both sides.

\(s = \frac{a + b + c}{2}\)

Multiply by 2 to get rid of the fraction.

\(s \cdot 2 = \frac{a + b + c}{2} \cdot 2\)

On the right side the 2 cancels out:

\(s \cdot 2 = a + b + c\)

On the right side next to a are still b and c. But we want a alone. Subtract b.

\(s \cdot 2 - b = a + b + c - b\)

b - b on right side gives 0.

\(s \cdot 2 - b = a + c + 0\)

The step above is usually skipped, because number + 0 = number.

\(s \cdot 2 - b = a + c\)

Next to a there is still c. Subtract c.

\(s \cdot 2 - b - c = a + c - c\)

c - c on the left is 0.

\(s \cdot 2 - b - c = a\)

So our answer is:

\(s \cdot 2 - b - c = a\)

It can be rewritten to (change sides):

\(a = s \cdot 2 - b - c\)

And s · 2 can be rewritten to 2s:

\(a = 2s - b - c\)

I really need help with this question as fast as possible​

I really need help with this question as fast as possible

Answers

Answer:

-1625

Step-by-step explanation:

→ (-125) × 5 + (-125) × 8

Taking (-125) as in common,

→ (-125) × (8 + 5)

→ (-125) × 13

-1625

Use the diagram to the right to determine whether BC. DE. Justify your answer. AD = 15, DB = 12, AE = 10, and EC = 8. The cut part is BC (top to bottom)

Use the diagram to the right to determine whether BC. DE. Justify your answer. AD = 15, DB = 12, AE =

Answers

Explanation:

AD = 15, DB = 12, AE = 10, and EC = 8

To determine if line BC is parallel to line DE, we will find the ratio of thier corresponding sides. if it is equal, they are parallelf

use method of cuundrical shells to find the volume of the solid obtained by rotating the region bounded by y

Answers

To use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y = f(x), x = a, x = b, and the x-axis about the y-axis, we can follow these steps:

1. Divide the region into thin vertical strips, each of width dx.
2. Consider a strip located at x, with height f(x). This strip can be rotated about the y-axis to form a thin cylindrical shell.
3. The radius of the cylindrical shell is equal to x, and its height is equal to f(x). The thickness of the shell is dx.
4. The volume of the cylindrical shell can be calculated as V = 2πxf(x)dx (using the formula for the volume of a cylinder).
5. Integrate this expression over the region of interest to obtain the total volume of the solid.

So, the volume of the solid obtained by rotating the region bounded by y = f(x), x = a, x = b, and the x-axis about the y-axis is:

V = ∫[a,b] 2πxf(x)dx

I hope that helps! Let me know if you have any further questions.

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What does the bar in a fraction mean?

Answers

Answer:

A fraction bar separates the numerator and denominator of a fraction. It indicates that a division of the numerator by the denominator will be performed.

Step-by-step explanation:

In math, a fraction bar can be defined as a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions. Fraction bars or fraction strips are a part-to-whole representational model. Each part of a fraction bar represents one unit out of a whole.

Answer:To separate the top and bottom numbers.

Step-by-step explanation:In math, a fraction bar can be defined as a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions.

Caleb makes $9.50 per hour babysitting. Last month, Caleb made $142.50 babysitting. Let h = the hours Caleb spent babysitting last month.

Answers

Answer:  about 15

Step-by-step explanation:

Answer:

15 is the answer

Step-by-step explanation:



Simplify the expression.
4r + (4; +3j) + 4r

Answers

Answer:

square roof of 36

Step-by-step explanation:

I need help on question 4 which is the first one

I need help on question 4 which is the first one

Answers

Given: The dimension as shown in the image

\(\begin{gathered} base(a)=20in \\ height(h)=10.5in \end{gathered}\)

To determine: The name of the shape and the surface area

Solution

The name of the shape is a square-based pyramid

The area of a square-based pyramid can be calculated using the formula below

\(\begin{gathered} A=a^2+2a\sqrt{\frac{a^2}{4}+h^2} \\ A=Area \\ a=base-edge \\ h=height \end{gathered}\)

Substitute the given dimension into the formula

\(\begin{gathered} A=20^2+2\times20\sqrt{\frac{20^2}{4}+10.5^2} \\ A=400+40\sqrt{\frac{400}{4}+110.25} \\ A=400+40\sqrt{210.25} \\ A=400+40(14.5) \\ A=400+580 \\ A=980in^2 \end{gathered}\)

Hence, the name of the shape is a square-based pyramid and the surface area is 980in²

Lucy Garcia took out a loan for $40,000 at 10 percent interest for 10 years. Her monthly payments are $528. 60. She made payments for one year and has paid the principal down to $37,546. 36. She now wants to repay the loan early. The loan specifies a $300 prepayment penalty if she pays the loan now. How much will she save by paying the loan early (round final answer to nearest dollar)?

Answers

The amount saved due to early payment is $19,242

Data;

Monthly payment = 528.60Number of payment = 10 years * 12 = 120 Total payment if not prepaid = 528.60 * 120 = $63,432

Total Payment for the whole term

The total payment for the whole term is the equal to the product of monthly payment and the number of payment as calculated above.

The total amount in cash in case of prepayment is

\(total amount in case of prepayment = monthly payment * number completed + balance + penalty\)

The number of payment completed = 12

Balance = $37,546.36

Penalty for prepayment = 300

The amount of prepayment is

\(528.60 * 12 + 37546.36 + 300 = 44,189.56\)

The amount saved due to early payment is

\(63432 - 44189.56 = 19,242\)

The amount saved due to early payment is $19,242

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2-period production economy: Economy has two periods, = 0,1. There is a
representative household and a representative firm. Household utility is given as
U(Co,C1) = log(Co)+ß log(C1) where ß E (0,1) is a discount factor. Firm production
function is given as F(K,L) = K«L1-a, where a € (0,1) is a capital share. Household is
endowed with initial level of capital K o in period O and maximum labor hours L= 1 in
each period += 0,1. Firms rent capital and hire labor every period and maximize their
profit.
(a) Write down Household's problem
(b) Write down Firm's problem
(c) Write down market clearing conditions
(d) Write down Social Planner's Problem
(e) Define Competitive Equilibrium
(f) Solve Social Planner's Problem: Show your steps to solve it
(g) Solve Competitive Equilibrium: Show your steps to solve it(h) Write down First
Welfare Theorem. Does the theorem hold? Verify it.
(i) Write down Second Welfare Theorem. Does the theorem hold? Verify it.

Answers

The provided questions cover various aspects of a 2-period production economy, including the household's problem, firm's problem, market clearing conditions, Social Planner's Problem, competitive equilibrium, and welfare theorems.

(a) The Household's problem is to maximize its utility over two periods subject to its budget constraint. The household's problem can be formulated as follows:

Max U(Co, C1) = log(Co) + ß log(C1)

subject to the budget constraint:

Co + (1+r)C1 ≤ (1+r)Ko + W0 + W1,

where Co and C1 are consumption in period 0 and 1 respectively, ß is the discount factor, r is the interest rate, Ko is the initial capital endowment, W0 and W1 are the wages in periods 0 and 1 respectively.

(b) The Firm's problem is to maximize its profit by choosing the optimal combination of capital and labor. The firm's problem can be formulated as follows:

Maximize F(K, L) - RK - WL,

where F(K, L) is the production function, K is capital, L is labor, R is the rental rate of capital, and W is the wage rate.

(c) The market clearing conditions are:

Capital market clearing: K1 = (1 - δ)K0 + S - C0, where δ is the depreciation rate, S is savings, and C0 is consumption in period 0.

Labor market clearing: L = L0 + L1, where L0 and L1 are labor supplies in periods 0 and 1 respectively.

(d) The Social Planner's Problem is to maximize social welfare, which is the sum of the household's utility and the firm's profit. The Social Planner's Problem can be formulated as follows:

Maximize U(C0, C1) + F(K, L) - RK - WL,

subject to the production function F(K, L) and the market clearing conditions.

(e) A Competitive Equilibrium is a situation where all markets clear and agents (household and firm) make optimal decisions based on prices and market conditions. It is characterized by the following conditions:

Household's problem is solved optimally.

Firm's problem is solved optimally.

Market clearing conditions hold.

(f) To solve the Social Planner's Problem, we need to set up the Lagrangian and solve for the optimal values of consumption, capital, and labor. The Lagrangian can be written as:

L = U(C0, C1) + F(K, L) - RK - WL + λ1[(1+r)K0 + W0 + W1 - Co - (1+r)C1] + λ2[K1 - (1 - δ)K0 + S - C0] + λ3[L - L0 - L1],

where λ1, λ2, and λ3 are the Lagrange multipliers.

(g) To solve the Competitive Equilibrium, we need to determine the prices of capital (R) and labor (W) that clear the markets. This can be done by equating the demand and supply of capital and labor, and solving the resulting equations.

(h) The First Welfare Theorem states that under certain conditions, a competitive equilibrium is Pareto efficient. It implies that a competitive equilibrium is a socially optimal allocation of resources. To verify the theorem, we need to demonstrate that the competitive equilibrium allocation is Pareto efficient.

(i) The Second Welfare Theorem states that any Pareto efficient allocation can be achieved as a competitive equilibrium with appropriate redistribution of initial endowments.

To verify the theorem, we need to show that given an initial Pareto efficient allocation, we can find prices and redistribution of endowments that lead to a competitive equilibrium that achieves the same allocation.

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Two cars travel at the same speed to different destinations. Car A reaches its destination in 12 minutes. Car B reaches its destination in 18 minutes. Car B travels 4 miles farther than Car A. How fast do the cars travel? Write your answer as a fraction in simplest form.

Answers

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

An inventor says to you, "Try my new chip maker. I'll charge you $2,000,000 up front, and I guarantee it'll make you an extra $400,000 in profits for each of the next 7 years." What is the approximate internal rate of return on this project?

Answers

The approximate internal rate of return on this project is approximately 13.59% at which the present value of the cash inflows (profits) is equal to the initial investment.

To calculate the approximate internal rate of return (IRR) for this project, we need to determine the discount rate at which the present value of the cash inflows (profits) is equal to the initial investment.

Given:

Initial investment = $2,000,000

Annual profit generated = $400,000

Number of years = 7

We can set up the following equation:

PV of cash inflows = Initial investment

To calculate the present value of the cash inflows, we need to discount each year's profit at the discount rate (IRR) and sum them up. Using a financial calculator or spreadsheet software, we can iterate different discount rates until the present value of the cash inflows matches the initial investment. Using an iterative process, the approximate internal rate of return (IRR) for this project is found to be approximately 13.59%.

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if you have 240 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?

Answers

The largest area that can be enclosed by a fence of 240 m and a wall is 7200m²

It is given that the rectangular area will be fenced up against a long rectangular wall. Therefore, the fencing will be done on just three sides.

Let one side be x

Then the side opposite to it must be x cm as well

The sum of the three sides should be equal to 240 m

Hence the third side must be 240 - 2x m

Therefore the area of the region fenced must be

A = x(240 - 2x)

or, A = 240x - 2x²

Now we need to maximize the above equation

Taking the first derivative zero we get

A' = 0

or, 240 - 4x = 0

or, 60 - x = 0

or, x = 60

Now we will test whether the above output is maximum or not. The second derivative of A is

A'' = -4

Since A'' is a constant function,

Now, A''(60) = -4

Therefore, the maximum side will have lengths of 60 m and 120 m.

Hence the largest area that can be enclosed with the fence is

60 X 120 m²

= 7200 m²

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if you have 240 meters of fencing and want to enclose a rectangular area up against a long, straight

What is the common ratio between successive terms in the sequence?
27, 9, 3, 1,
,
1,
3
O-3
mp

What is the common ratio between successive terms in the sequence?27, 9, 3, 1,,1,3O-3mp

Answers

Answer:

1/3

Step-by-step explanation:

If it was supposed to be a negative answer, there would be negative numbers in the sequence. So that narrows it do to 3 and 1/3. And now we know that 27*3 isn't 9 but 27*1/3=9 and so on.

Answer:

your answer will have to be 3

Step-by-step explanation:

from 27 to 9, we divided by 3

from 9 to 3, we divided by 3

from 1 to 1/3, we divided by 3

from 1/3 to 1/9, we divided by 3

from 1/9 to 1/27, we divided by 3

so basically the common ratio will have to be 3

The system of linear equations -2x+y=8 and -3x-y=7

Answers

Answer: x=-3, y=2

Step-by-step explanation: -2x+y=8 + -3x-y=7 and you get x=-3 then you put that in to x and pick one of the beginning equations i chose to put -3 in to -2(-3)+y=8 and got 6+y=8 then you subtract the 6 on both sides and should get y=2

Answer:

(-3,2)

Step-by-step explanation:

You can solve it by various methods. These two equations can be solved simultaneously or by matrix method, or even by graphing

Simultaneous is easier so lets get started.

1st equation  : \(-2x+y=8\)

2nd equation: \(-3x-y=7\)

We solve it by using the substitution method which means there are two variables x and y and we substitute one variable in form of another variable.

Like, take the 1st equation

\(-2x+y=8\\y=8+2x\)

the equation is arranged in a different manner but its the same thing.

This new equation becomes our new third equation and now we simply put our third equation in our 2nd equation. Like this, take the 2nd equation and substitute it with our 3rd third equation

\(-3x-y=7\\-3x-7=y\\-3x-7=8+2x\\-3x-2x=8+7\\-5x=15\\x=-3\)

we get x=-3 and then we put the value of x and in our third equation to get the value of y or we can simply put it in any equation 1st , 2nd , 3rd it will give the same answer. I chose third.

\(y=8+2x\\y=8+2(-3)\\y=8-6\\y=2\)

The solution set of our system of linear equations is

(-3,2)

-3 (k+7)-5k+4=23 what is k

Answers

hope this helps! feel free to clarify

Answer:

\(k = - 5\)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

\(−3(k+7)−5k+4=23 \\ (−3)(k)+(−3)(7)+−5k+4=23(Distribute) \\−3k+−21+−5k+4=23 \\ (−3k+−5k)+(−21+4)=23(Combine Like Terms) \\ −8k+−17=23 \\ −8k−17=23\)

Step 2: Add 17 to both sides.

\(−8k−17+17=23+17 \\ −8k=40\)

Step 3: Divide both sides by -8.

\( \frac{ - 8k}{ - 8}= \frac{40}{ - 8} \)

\(k = - 5\)

(3). Harvard Bridge, which connects MIT with its fraternities across the Charles River, has a length of 364.4 Smoots plus one ear. The units of one Smoot is based on the length of Oliver Reed Smoot, Jr., class of 1962, who was carried or dragged length by length across the bridge so that other pledge members of the Lambda Chi Alpha fraternity could mark off (with paint) 1-Smoot lengths along the bridge. The marks have been repainted biannually by fraternity pledges since the initial measurement, usually during times of traffic congestion so that the police could not easily interfere. (Presumably, the police were originally upset because a Smoot is not an SI base units, but these days they seem to have accepted the units.) The figure shows three parallel paths, measured in Smoots (S), Willies (W), and Zeldas (Z). What is the length of 64.0 Smoots in (a) Willies and (b) Zeldas?

Answers

The length of 64.0 Smoots in Zeldas is 16.0 Willies and 5.33 Zeldas. The bridge, which links MIT with its fraternities over the Charles River, is the Harvard Bridge. It measures 364.4 Smoots plus one ear in length.

The Smoot is a unit of length based on the height of Oliver Reed Smoot Jr., the Lambda Chi Alpha fraternity's class of 1962. Because he was carried or dragged length by length over the bridge, the additional ear indicates the length of his head.

Length of Harvard Bridge = 364.4 Smoots + 1 ear.

Therefore, 1 Smoot = 364.4/1.0

= 364.4 Smoots

Length of 64.0 Smoots in (a) Willies

To find the length of 64.0 Smoots in Willies, we use the conversion ratios:

1 Willie = 4.0 Smoots

Hence, the length of 64.0 Smoots in Willies is:

64.0 Smoots × (1 Willie/4.0 Smoots)

= 16.0 Willies.

Length of 64.0 Smoots in (b) Zeldas

To find the length of 64.0 Smoots in Zeldas, we use the conversion ratios:1 Zelda = 3.0 Willies,1 Willie = 4.0 Smoots

Hence, the length of 64.0 Smoots in Zeldas is:64.0 Smoots × (1 Willie/4.0 Smoots) × (1 Zelda/3.0 Willies) = 5.33 Zeldas.

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shannon's living room is a 12 bye 18 foot rectangle. She wants to cover as much of the floor as possible with 6 foot diameter circular rugs without overlap 1). How much of the living room space can shannon cover with the circular rugs to the nearest square foot? ( use PI = 3.14)

Answers

Solution

We can create the following plot:

Part 1

From this case we can see in the figure that the maxium number of circular rugs are 6

The total area is given by:

A= 12ft * 18 ft= 216 ft2

And the area for a single rug is:

\(A=\pi\cdot(3ft)^2=28.274ft^2\)

Then the area for the 6 rugs is:

\(A_T=28.274\cdot6=169.646ft^2\)

And rounding to the nearest square foot we got:

170 ft2

Part 2

The remaining space would be given by:

R= 216-170 ft2= 46ft

shannon's living room is a 12 bye 18 foot rectangle. She wants to cover as much of the floor as possible

Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?

1: x + y is odd.
2: xy is odd.
3: x/y is odd.
4: x-y is odd.

A: 1 and 2 only.
B: 1 and 3 only.
C: 2 and 3 only.
D: 2, 3, and 4 only.
E: 2 and 4 only.​

Answers

9514 1404 393

Answer:

  C: 2 and 3 only.

Step-by-step explanation:

We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).

The product of two odd numbers is odd, so (2) is one of the true statements.

__

Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.

Only statements (2) and (3) are true.

Please Please Please Please Help ASAP!!!!

Please Please Please Please Help ASAP!!!!

Answers

Answer:

A

Step-by-step explanation:

Let R be the region in the first quadrant bounded by the x-axis, the graph of x=y2+2, and the line x=4. What is a the interval for the area of R?

Answers

A region in the first quadrant defined by the x-axis, the graph of x=y2+2, and the line x=4 is called R then the area of R be \($-\frac{2 \sqrt{2}}{3}+2 \sqrt{2}$$\)

What is meant by parabola ?

A parabola is a U-shaped plane curve in which every point is situated at an equal distance from both the focus, a fixed point, and the directrix, a fixed line. A parabola is a U-shaped curve that represents the graph of a quadratic function.

Students are able to fill in the gap between the mathematics they learn in class and the things they see in real life by drawing a comparison between the equation of a parabola and a shape found in the real world (the parabaloid). They can conceive difficult ideas that they might otherwise find repugnant by doing this.

Sketch the graph of \($x=y^2+2$\) by sketching the sideways parabola \($x=y^2$\) then adding 2 to the x coordinates (translate 2 to the right).

Add the x axis and the vertical line x = 4.

The area can be found by either

\($\int_2^4 \sqrt{x-2} d x$$\) or \($\int_0^{\sqrt{2}}\left(4-\left(y^2+2\right)\right) d x$$\)

\($=\int_0^{\sqrt{2}}-x^2+2 d x$$\)

Apply the Sum Rule: \($\int f(x) \pm g(x) d x=\int f(x) d x \pm \int g(x) d x$\)

\($=-\int_0^{\sqrt{2}} x^2 d x+\int_0^{\sqrt{2}} 2 d x$$\)

simplifying the equation, we get

\($\int_0^{\sqrt{2}} x^2 d x=\frac{2 \sqrt{2}}{3}$$\)

\($\int_0^{\sqrt{2}} 2 d x=2 \sqrt{2}$$\)

\($=-\frac{2 \sqrt{2}}{3}+2 \sqrt{2}$$\)

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Let R be the region in the first quadrant bounded by the x-axis, the graph of x=y2+2, and the line x=4.

A company has 440,000 shares outstanding that sell for $98.48 per share. The company plans a 6-for-1 stock split. Assuming no market imperfections or tax effects, what will the stock price be after the split?

Answers

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Find the type and number of roots of the following equations using the discriminat

Find the type and number of roots of the following equations using the discriminat

Answers

Recall that the discriminant of a quadratic equation:

\(ax^2+bx+c=0\)

is:

\(\Delta=b^2-4ac\text{.}\)

Also, if:

\(\begin{cases}\Delta>0\text{ the quadratic equation has 2 different real roots,} \\ \Delta=0\text{ the quadratic equation has 1 root of }multiplicity\text{ 2,} \\ \Delta<0\text{ the quadratic equation has 2 different imaginary roots.}\end{cases}\)

Now, notice that the discriminant of the given equation is:

\(\Delta=4^2-4\cdot1\cdot(-2)\text{.}\)

Simplifying the above result we get:

\(\Delta=16+8=24.\)

Since 24>0, we get that the given equation has 2 different real roots.

Answer: The given equation has 2 different real roots.

In Exercises 8-9, write a linear function f with the given values.
8. f(1)=3,f(3)=4
9. f(6)=9,f(-5)=0

In Exercises 8-9, write a linear function f with the given values.8. f(1)=3,f(3)=49. f(6)=9,f(-5)=0

Answers

Answer:

yo add me on intagram Its_yo-Boy_Jonathan65

Step-by-step explanation:

12. Describe the graph of a quadratic function that has its vertex and a zero
at the same point.

Answers

The dot represents the vertex, and the x represents the point where the parabola touches the x-axis. The parabola is symmetric about the vertical line x = h and does not cross the x-axis anywhere else.

What is parabola?

A parabola is a type of curve that is defined by a specific mathematical equation, namely, the quadratic equation. It is a symmetrical curve that can be described as the shape of the graph of a quadratic function.

by the question.

If (h, k) is a zero of the function, then. \(f(h) = 0\). Substituting this into the equation for f(x), we get:

\(0 = a(h - h)^2\)

\(0 = 0\)

This is a true statement, which tells us that (h, k) is indeed a zero of the function.

Now, let's consider the graph of this function. Since the coefficient a is non-zero, the parabola will be facing either upwards or downwards. If a > 0, then the parabola will be facing upwards, and if a < 0, then the parabola will be facing downwards.

Since the vertex of the parabola is at (h, k), the axis of symmetry is the vertical line x = h. Therefore, the parabola is symmetric about this line.

Finally, since (h, k) is also a zero of the function, the parabola must cross the x-axis at x = h with a single point of tangency. This means that the parabola just touches the x-axis at this point and does not cross it.

To learn more about parabola:

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Someone pls help?????????????????????

Someone pls help?????????????????????

Answers

The answer is :10 :) really hope that right

Answer:

10 more couches were sold.

Step-by-step explanation:

On Tuesday, they sold 15 couches, while on Wednesday only 5 were sold.

15-5=10 Couches

Write the slope intercept form of the equation of each line given the slope Y- intercept. Slope =9, y- intercept = -5.
Please help me

Answers

Answer:

y = 9x - 5

Step-by-step explanation:

Slope Intercept Form:  y = mx + b

( m = slope and b = y-intercept form )

What is 3 2/5 as a decimal?

Answers

Answer:

3.4

Step-by-step explanation:

2/5 as a decimal is 0.4, and we can add 3 to it, getting 3.4

3.4 is the answer to what’s is 3 2/5 as a decimal
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