Plot the points on the coordinate plane and answer the questions. Plot the points: A(4, 5), B(3, 3), C(6, 9), D(8, 13), and E(10, 15). All but one of the points are on the same line. Which one is not?

Answer:

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number 2 is the answer

Answer:

Its the second one

Step-by-step explanation:

The minimum value occurs when x = 10 and y = 0, resulting in a minimum value of 10.

To find the minimum value of the function 4x - 5y + 10 subject to the conditions inequality 0 ≤ x ≤ 10 and 0 ≤ y ≤ 5, we evaluate the function at the boundaries of the given conditions.

At the upper bound of x, when x = 10, the function becomes 4(10) - 5y + 10 = 40 - 5y + 10 = -5y + 50. Since y has a lower bound of 0, the minimum value of -5y + 50 occurs when y = 0, resulting in a value of 50.

At the lower bound of y, when y = 0, the function becomes 4x - 5(0) + 10 = 4x + 10. Similarly, since x has an upper bound of 10, the minimum value of 4x + 10 occurs when x = 10, resulting in a value of 50.

Comparing the values obtained at the boundaries, we find that the minimum value of the function 4x - 5y + 10 is 10.

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Answer:

9xy|xy|

Step-by-step explanation:

25xy*V81x^2y^2/V625=25xy*9|xy|/25=9xy|xy|

Answer:

One solution

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

4x + 3 = -5x + 21

4x + 5x = 21 - 3

9x = 18

Divide both sides by 9

9x / 9 = 18 / 9

x = 2

Hope it helps.

A nontrivial solution exists, and it is {c₁, c₂, c₃} = {-5, 2, 1}.

The f₁, f₂, and f₃ are linearly dependent on the interval (-∞, ∞).

To solve for c₁, c₂, and c₃ such that g(x) = 0 on the interval (-∞, ∞), we need to find the values of c₁, c₂, and c3 that make the linear combination of f₁(x), f₂(x), and f₃(x) equal to zero.

g(x) = c₁f₁(x) + c₂f₂(x) + c₃f₃(x) = 0

Substituting the given functions into g(x):

c₁x + c₂x² + c₃(5x - 2x²) = 0

Combining like terms:

(c₂ - 2c₃)x² + (c1 + 5c₃)x = 0

To satisfy this equation for all x in the interval (-∞, ∞), the coefficients of x² and x must be zero:

c₂  - 2c₃ = 0 ---(1)

c₁ + 5c₃ = 0 ---(2)

From equation (1), we can express c₂ in terms of c₃ as:

c₂ = 2c₃

Substituting this into equation (2):

c₁ + 5c₃ = 0

Solving for c₁ in terms of c₃:

c₁ = -5c₃

So, we have:

c₁ = -5c₃

c₂ = 2c₃

Now, to check if a nontrivial solution exists, we need to determine if there are values of c₃ that satisfy these equations without all coefficients being zero.

If we choose c₃ = 1, then:

c₁ = -5

c₂ = 2

These values of c₁, c₂, and c₃ satisfy the equations and yield a nontrivial solution.

Therefore, a nontrivial solution exists, and it is {c₁, c₂, c₃} = {-5, 2, 1}.

To determine whether f₁, f₂, and f₃ are linearly independent on the interval (-∞, ∞), we need to check if the equation:

c₁f₁(x) + c₂f₂(x) + c₃f₃(x) = 0

has only the trivial solution c₁ = c₂ = c₃ = 0. Since we have found a nontrivial solution, {c₁, c₂, c₃} = {-5, 2, 1}, it means that f₁, f₂, and f₃ are linearly dependent on the interval (-∞, ∞).

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After Louis XVI's failed attempts to sabotage the Assembly and to keep the three estates separate, the Estates-General ceased to exist, becoming the National Assembly. It renamed itself the National Constituent Assembly on July 9 and began to function as a governing body and constitution-drafter.

National assembly

The National Assembly was the first revolutionary government of the French Revolution and existed from June 14th to July 9th in 1789. The National Assembly was created amidst the turmoil of the Estates-General that Louis XVI called in 1789 to deal with the looming economic crisis in France.

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Answer:

7

Step-by-step explanation:

each wand = 2 so you add the wands and multiply the wands by 2

then you divide the answer to the last calculation by 4

which is 28 divided by 4

which = 7

The mean of the data is 7.

The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

Given:

Glenda = 2 x 2= 4 wands

Tink = 3 x 2= 6 wands

Merry = 4 x 2= 8 wands

Gracie = 5 x 2= 10 wands'

So, Arithmetic Mean = (Sum of wands) / (Total number of wands)

                                  = (4+ 6 +8 + 10)/4

                                  = 28/4

                                  = 7

Hence, the mean is 7.

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Answer:Taking off: 2

Flying: 3

Landing: 4

Landing well enough you can use the plane again: 5

Landing well enough that your passengers will fly with you again: 6

Having the judgement and strength of character to say “I know I promised we'd fly home today, but the weather is bad so we're going to have to wait a day and miss that thing you wanted to go to”: 10

Step-by-step explanation:

The van can carry 13 students and the bus can carry 53 students.

A van can carry = 13

A bus can carry = 53

The equations will be derived from the conditions given in the question:

Let x be the no. of students in van

Let y be the no. of students in bus

     13x + 9y = 646……………(1)

      6x + 3y = 237………………(2)

Multiplying (2) with 3

13x + 9y = 646……………(3)

18x + 9y = 711 …………...(4)

Subtracting equation (3) from (4)

18x + 9y = 711

- (13x + 9y = 646)

We get:

5y = 65

y = 13

Now, plug the value of y into one of the preceding equations:

13x + 9(13) = 646

Solving this we get

x = 53

Hence, The van can carry 13 students and the bus can carry 53 students

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Answer:

-3=x^2/-27

x^2=(-3)(-27)

x=9 or x=-9

Step-by-step explanation:

Let \(a\) be the first term in the series and \(r\) the common ratio. Then the infinite series converges to

\(a + ar + ar^2 + ar^3 + ar^4 + ar^5 + \cdots = \dfrac a{1-r}\)

Removing the first three terms from the left side effectively multiplies the right side by 27, so

\(ar^3 + ar^4 + ar^5 + \cdots = \dfrac{27a}{1-r}\)

By elimination,

\(a + ar + ar^2 = -\dfrac{26a}{1-r}\)

Solve for \(r\). We can eliminate \(a\) so that

\(1 + r + r^2 = -\dfrac{26}{1-r} \\\\ \implies 1-r^3 = -26 \\\\ \implies r^3 - 27 = 0 \\\\ \implies r^3 = 27 \implies \boxed{r=3}\)

The writer's profit is $84.00. To calculate the writer's profit, you need to consider the premiums collected from selling the call options, the interest earned on those premiums, and the cost of buying the shares to complete the call contract.The premiums collected from selling the call options are:$0.91 x 100 = $91.00The interest earned on those premiums over 30 days at 5% is:($91.00 x 0.05 x 30) / 365 = $0.38The total amount of cash available to the writer at expiry is therefore:$91.00 + $0.38 = $91.38The cost of buying the shares to complete the call contract is:100 x $42 = $4,200.00Since the underlying asset is worth $39 at expiry, the writer can buy the necessary shares for:100 x $39 = $3,900.00The writer's profit is therefore:$91.38 - $3,900.00 = $84.00Since the writer made a profit, the answer is $84.00.

Hope I helped you...

The 99% confidence interval estimating the proportion of all Ford Fusion drivers who are women is (0.40685, 0.67007). The closest option to this interval is option 2) (0.40385, 0.67307).

The answer is option 1) (0.41689, 0.66003). To design a new advertising campaign, Ford Motor Company conducted a sample survey of 91 Fusion owners and found that 49 of them were women. To estimate the proportion of all drivers who are women, a confidence interval is calculated. The formula for calculating the confidence interval is:

sample proportion ± z*(standard error)

where z is the critical value for the desired confidence level and the standard error is calculated as:

sqrt((sample proportion*(1 - sample proportion))/sample size)

For a 99% confidence interval, the critical value is 2.576. Plugging in the values from the sample, we get:

sample proportion = 49/91 = 0.5385
sample size = 91

Using the formula above, we can calculate the standard error as:

sqrt((0.5385*(1 - 0.5385))/91) = 0.0625

Finally, we can plug in the values into the confidence interval formula:

0.5385 ± 2.576*0.0625

which gives us the interval (0.41689, 0.66003). Therefore, option 1) is the correct answer.

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Answer:

y=2

Step-by-step explanation:

Answer:

16 items

Step-by-step explanation:

He spent $63.50 so he has to earn that back by selling items and also make a $50 profit. So you add $63.50+$50 which is 113.50 and then divide that by $7.25 because that is how much each item he sells costs. Once you do that you get 15.6551 but you can’t sell 15.6551 items so you round up to a whole number which gives you the answer that he has to sell 16 items.

Jamal will have to sell 15.65 items to make back his investment and make profit of $50.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Amount spends by Jamal on woodworking items = $63.50

Also,

Jamal sells each item for $7.25.

Let Jamal sells n items,

To make profit of $50,

Total selling price of woodworking items = 63.50 + 50 = 113.50

To find the number of items, use ratio property,

n x 7.25 = 113.50

n = 113.50/7.25

n = 15.65

Hence, Jamal will sell 15.65 items to make profit of $50.

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The first factor of the expression has a degree of 2.

The second factor has a degree of 3.

The third factor has a degree of 2.

The product has a degree of 7.

\((a^{2} ) (2a^{3} )(a^{2}-8a+9)\)

The given expression of this problem is:

The degree of an expression is deduct by the exponent of each power.

So, the first factor of the expression has a degree of 2, because that's the exponent.

The second factor has a degree of 3.

The third factor has a degree of 2.

Now, to know the degree of the product, we have to solve the expression, and see what is the degree of the resulting polynomial expression:

\((a^{2})(2a^{3})(a^{2} -8a+9)\)

\(2a^{5} (a^{2} -8a+9)\)\(\\2a^{7} -16a^{6}+18a^{5}\)

so, as you can see, the product has a degree of 7.

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Answer:

X & Y offer the same discount of 900

Step-by-step explanation:

\( \frac{1}{5} = \frac{3}{15} \)

In this scenario, both shops offer the same discount.

\(4500( 1 - \frac{1}{5} ) = 3600 \\ \\ 4500(1 - \frac{3}{15} ) = 3600\)

Answer:

Step-by-step explanation:

A,B or C, depends on the garden length.

Answer:

It would take 5.9 years to the nearest tenth of a year

Step-by-step explanation:

The formula of the compound continuously interest is A = P\(e^{rt}\) , where

∵ Serenity invested $2,400 in an account

∴ P = 2400

∵ The account paying an interest rate of 3.4%, compounded continuously

∴ r = 3.4% ⇒ divide it by 100 to change it to decimal

∴ r = 3.4 ÷ 100 = 0.034

∵ The value of the account reached to $2,930

∴ A = 2930

→ Substitute these values in the formula above to find t

∵ 2930 = 2400\(e^{0.034t}\)

→ Divide both sides by 2400

∴ \(\frac{293}{240}\) = \(e^{0.034t}\)

→ Insert ㏑ in both sides

∴ ㏑(\(\frac{293}{240}\)) = ㏑(\(e^{0.034t}\))

→ Remember ㏑(\(e^{n}\)) = n

∴ ㏑(\(\frac{293}{240}\)) = 0.034t

→ Divide both sides by 0.034 to find t

∴ 5.868637814 = t

→ Round it to the nearest tenth of a year

∴ t = 5.9 years

∴ It would take 5.9 years to the nearest tenth of a year

The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\)

Option D is the correct answer.

We have,

In this equation, the variable x represents the number of times the square is cut in half, and y represents the surface area of the square.

As x increases, the exponent of 1/2 decreases, causing the value of y to decrease.

This exponential decay accurately represents the idea that the surface area becomes less and less but never reaches zero units²

Thus,

The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\).

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The correct equation that would help model the surface area of a square piece of paper as it is repeatedly cut in half is:  \(\(y=36(\frac{1}{2})^x\)\)

As the square is cut in half, the side length of the square is divided by 2, resulting in the area being divided by \(\(2^2 = 4\)\).

Therefore, the equation \(y=36(\frac{1}{2})^x\)\)accurately represents the decreasing surface area of the square as it is repeatedly cut in half.

and, \(\(y=x^2+4x-16\)\)is a quadratic equation that does not represent the decreasing nature of the surface area.

and, \(\(y=-25x^2\)\) is a quadratic equation with a negative coefficient.

and, \(\(y=9(2)^x\)\)represents exponential growth rather than the decreasing nature of the surface area when the square is cut in half.

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Answer:

x = 14/5

Step-by-step explanation:

2x-4= -x-6/2

multiply by 2 on both sides to get rid of the fraction

4x-8= -x-6

add both sides by 8 and both sides by x to get the constants on the right and the variables on the left

4x+x=6+8

combine like terms/simplify

5x=14

divide both sides by 5 to isolate the x

x=14/5

i hope this helps :)

To determine whether the vectors (-2,1,-1) and (0,3,1) are parallel, we need to compare their direction. If they have different directions, they are not parallel. the correct answer is option c) Not parallel.

To check if two vectors are parallel, we can compare their direction vectors. The direction vector of a vector can be obtained by dividing each component of the vector by its magnitude. In this case, let's calculate the direction vectors of the given vectors.

The direction vector of (-2,1,-1) is obtained by dividing each component by the magnitude:

Direction vector of (-2,1,-1) = (-2/√6, 1/√6, -1/√6)

The direction vector of (0,3,1) is obtained by dividing each component by the magnitude:

Direction vector of (0,3,1) = (0, 3/√10, 1/√10)

Comparing the direction vectors, we can see that they are not equal. Therefore, the vectors (-2,1,-1) and (0,3,1) are not parallel. Hence, the correct answer is option c) Not parallel.

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Answer:

C) 98

Step-by-step explanation:

Hope this helps! sry  if I'm wrong

The value of x in the given equation 15x + 120 = 5x + 1100 is 98. Option C is correct.

An equation is a combination of numbers, variables, mathematical operations, and functions. It is basically a statement emphasising that the two or more expressions are equal to each other.

The given equation is

15x + 120 = 5x + 1100

Take the like terms together,

15x - 5x = 1100 - 120

10x = 980

x = \(\frac{980}{10}\)

x = 98.

Thus, the option C is correct stating that the value of x in the given equation is 98.

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The complete question is as follows:

Find the value of x in the equation:

15x + 120 = 5x + 1100.

A. 66

B. 122

C. 98

D. 76

SUBMIT.

Mickey Rats is correct that y′ = xy − 5y is a separable differential equation, but he is incorrect in claiming that it is a linear differential equation.

A separable differential equation is one that can be written in the form dy/dx = f(x)g(y), where f(x) and g(y) are functions of x and y, respectively. In this case, we can write the differential equation as:

dy/dx = y(x - 5)

which is in the required form of a separable differential equation.

However, a linear differential equation is one that can be written in the form dy/dx + p(x)y = q(x), where p(x) and q(x) are functions of x. The given differential equation is not in this form, since it has a y term that is multiplied by x.

Therefore, while the differential equation y′ = xy − 5y is separable, it is not linear.

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Answer:

54000

Step-by-step explanation:

use multiplication
do ur own work  if you want to see if I'm wrong

Answer:

d = 1 + 3p  

Step-by-step explanation:

Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.

For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.

Therefore, the relationship between the practices p and the distance d can be expressed as follows.

number of track practice = p

distance covered = d

The distance covered  d in miles is 1 miles plus the number of track practice p multiply by 3

d = 1 + 3p  

Step-by-step explanation:

y-3y+6

when y is equal to 5

=5 - 3(5) + 6

=5 - 15 + 6

=5 - 9

= -4

Answer:

I'll edit the answer and try to answer it, but where is the graph?

Answer:

C: g(x)= x- 3

Step-by-step explanation:

translated 3 units down means you go 3 down on the y-axis. Therefore it is g(x)= x-3