Determine the area bounded by the curves f(x) = 4x and g(x) = 3x + 1.​

Step-by-step explanation:

Parallelogram   -   yes    two pairs of parallel sides

Quadrilteral    - yes      4 sided polygon

Rectangle    - yes

Square    - yes

Rhombus   - yes

trapezoid  -   yes    

The domain is {-8, -12, 1, -2} and the range is {5, -11, -1, -4}

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

(-8,5) (-12,-11)  (1-1) (-2,-4)

The domian is the set of the input values

Using the ordered pairs as a guide, we have

Domain = {-8, -12, 1, -2}

For the range, we have

The range is the set of the output values

So, we have

Range = {5, -11, -1, -4}

Hence, the range is  {5, -11, -1, -4}

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Answer:

4/75

Step-by-step explanation:

Answer:

6 and 8

Step-by-step explanation:

The hypotenuse of a 30°-60°-90° triangle measures 10 inches.

To find the length of one of the legs, we use the idea of Pythagorean Triples.

Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:

Note that in a Pythagorean Triple,

In our given triangle, the Hypotenuse=10 Inches

Consider the Pythagorean Triple 3,4, and 5

Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.

Answer: 5:8

Step-by-step explanation:

There are 5 cows and 8 horses as outlined by the question. Thus, the ratio of horses to pigs is 5:8

Answer:

yeah as they said it is 5:8

Answer:

Good for Lily.

Step-by-step explanation:

Answer:

p=25%

discount=25%

Step-by-step explanation:

Cost Price = 1.25 x - .4(1.25x)= 1.25x- .5x

Cost Price = .75x

S P = C+P

Profit = Selling price - Cost price

= x - 0.75x

=0.25x

the Profit is 25 %

Discount is 25 %

Answer:

given if device left) X by right) equal to 5 by left (1 - X by right) if (X +) = 5) x what is the value of

Answer: y = -2|x| + 1

Step-by-step explanation: it is an absolute value function, y = |x|, moved up one. then we see that it has been flipped. it has also been vertically stretched by a factor of 2.

Answer- It will take 82 months for Raj to pay back the loan.0= (-50 x 82) + 4,100

To solve this we must divided 4,100 into 50. 4,100 divided into 50 is 82.

So with the equation you gave us it should be solved to look like this

0= (-50 x 82) + 4,100

We must have a zero Y-intercept so Y must equal zero, the only way to get to zero is to pay off the debt. This means our X is how many months it will take us to pay it off. It will take Raj 82 months to pay back his debt.

HOPE THIS HELPS GOOD LUCK!!!

Answer:

Step-by-step explanation:

1,-5

Answer:

29 day) $15.00

30 day $15.00

31 day $15.00

The cost was the same for all three days

Step-by-step explanation:

Rover = 3/4 can

Bobo = 1/2 can

29(3/4) + 29(1/2) = 21.75 + 14.5 = 36.25 cans

36.25/3 = 12.08

must buy 4 packs of 3 at $5.00 each = $15.00

30(3/4) + 30(1/2) = 22.5 + 15 = 37.5 cans

37.5/3 = 12.5

must buy 4 packs of 3 at $5.00 each = $15.00

31(3/4) + 31(1/2) = 23.25 + 15.5 = 38.75 cans

38.75/3 = 12.92

must buy 4 packs of 3 at $5.00 each = $15.00

Answer:

\(\boxed{\mbox{\large 4x\:+\:2h\:-\:6}}\)

Step-by-step explanation:

We ae given

Looking at individual terms,

Answer:

The formula for determining the present value of an annuity is PV = dollar amount of an individual annuity payment multiplied by P = PMT * [1 – [ (1 / 1+r)^n] / r] where: P = Present value of your annuity stream. PMT = Dollar amount of each payment. r = Discount or interest rate.

Step-by-step explanation:

Hope this helps :) :)

Answer: 47.75

Step-by-step explanation: It explains at the end that she bought 30 prints. You would take 30 and just plug it in for X. So the formula would look like this, B(x)=50.75-0.10(30).

A matrix is in the row-echelon form if:

1. The first nonzero element of each nonzero row (called the leading entry) is to the right of the leading entry of the row above it.

2. Each leading entry is 1 (also called a pivot).

3. Each element above and below a pivot is 0.

A matrix is in the reduced row-echelon form if it is in row-echelon form and also:

4. Each pivot is the only nonzero element in its column.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. The numbers, symbols, or expressions in a matrix are called its entries or elements. Matrices are often used in linear algebra, a branch of mathematics that deals with vector spaces and linear transformations.

They can be used to represent systems of linear equations, perform operations such as matrix addition and multiplication, and solve systems of linear equations.

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Answer: 53

Step-by-step explanation:

rate * time = distance, or rt=d given, t=10 hours and d= 530 miles, r (10) = 530, or r= 530/10 = 53 miles/hour

Hope this helps ^^

The LCM of  (x + 3)^2(x – 2) and (x + 3)(x^2 – 16) is (x+3)^2(x-2)(x^-16)

Lowest common multiple is the maximum function that can divide other functions without leaving remainder

Given the functions

(x + 3)2(x – 2) and (x + 3)(x^2 – 16)

The LCM will be (x+3)^2(x-2)(x^-16) since all other function can be found in this function.

Hence the LCM of  (x + 3)^2(x – 2) and (x + 3)(x^2 – 16) is (x+3)^2(x-2)(x^-16)

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Answer:

1/4

Step-by-step explanation:

9 lbs

---------

36 lbs

We can write this because the units are the same

Divide the top and bottom by 9

9/9

----------

36 /9

1/4

Answer:

1/4

Step-by-step explanation:

9 pounds

36 pounds

Ratios are written as x:y, fractions are written as x/y.

9:36 as a fraction will be 9/36

Simplify the fraction.

1/4

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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The distance between the coordinates R and S is 4 units and the distance between T and U is √26 units.

The distance formula is a formula used to find the distance between two points in a two- or three-dimensional space. The formula is:

\(d = \sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}\)

Where d is the distance between the two points (x1,y1) and (2, 2),

Using the distance formula, we can find the distance between any two points in a two-dimensional space.

For example, to find the distance between points R(-1.0) and S(3.0), we can use the distance formula:

\(d= \sqrt{(3-(-1))^2+(0-0)^2)} = \sqrt{(16+0)}\\= \sqrt{(16)}\\=4\)

Therefore, the distance between R(-1,0) and S(3,0) is 4 units. Similarly, we can find the distances between any other pair of points using the distance formula.

Distance between T and U is -

T(2, -3), U(-3, -2)

\(=\sqrt{(-3-2)^2 + (-2 - (-3))^2} \\=\sqrt{25 + 1}\\= \sqrt{26}\\\)

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Find the distance between following points -

R(-1,0), S(3, 0)

T(2, -3), U(-3, -2);

Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.

According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.

Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.

Interest = Principal * Rate

= $13,250.00 * 0.10358

≈ $1,370.56

Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.

Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.

Calculating the interest with a credit score of 680:

Interest = Principal * Rate

= $13,250.00 * 0.09132

≈ $1,210.57

Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.

Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

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The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

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Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

You can download\(^{}\) the answer here

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Answer: Correct answer is option C

Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

The probability that a randomly chosen color-blind person is male is approximately 0.336.

Let's first calculate the proportion of color-blind people in the community:

Proportion of color-blind women = 0.55 x 0.02 = 0.011

Proportion of color-blind men = 0.45 x 0.05 = 0.0225

Total proportion of color-blind people in the community = 0.011 + 0.0225 = 0.0335

Now we want to find the probability that a randomly chosen color-blind person is male, which can be calculated using Bayes' theorem:

P(male | color-blind) = P(color-blind | male) x P(male) / P(color-blind)

We already know P(color-blind | male) = 0.0225 and P(male) = 0.5 (since we are assuming an equal number of males and females in the community). We also calculated P(color-blind) = 0.0335 above.

Substitute these values, we get:

P(male | color-blind) = 0.0225 x 0.5 / 0.0335 ≈ 0.336

Therefore, the probability is 0.336

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Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

When budgeting for housing, it is generally recommended to allocate a certain percentage of your income towards housing expenses. The recommended percentage varies depending on factors such as location, personal financial goals, and individual circumstances.

A common guideline is to spend no more than 30% of your monthly income on housing expenses. To determine the maximum amount Freya should budget for housing, we can calculate 30% of her monthly income:

Maximum housing budget = 30% of $1575

Maximum housing budget = 0.30 × $1575

Maximum housing budget = $472.50

Therefore, Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

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Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .

a. Input variables: hours worked as a cashier, payroll clerk, and assistant.

The total amount earned each week is the output variable.

b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:

Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)

c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).

d. The equation describing the total money earned each week is as follows:

(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y

This expression is simplified as follows:

y = 190 + 9x - 70 + 7x

y = 16x + 120

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.

g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:

y = 16x + 120 + 0

y = 16x + 120

As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.

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