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kompoz [17]
3 years ago
5

10. The graph of a linear function that passes through the points (-2, 1) and (8, 6) is shown.

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
8 0

Answer:

(0,2)

This is extra, but the function would be y = 0.5x + 2.

Step-by-step explanation:

The y-intercept is simply where the function intersects the y-axis. In this, case it's intersecting at (0,2) so that is the answer.

To find the equation for this:

y2 - y1/x2 - x1

6 - 1/8 - (-2)

6 - 1/8 + 2

5/10 = 0.5

y = 0.5x + b

6 = 0.5(8) + b

6 = 4 + b

6-4 = (4-4) + b

2 = b

With that, the equation becomes y = 0.5x + 2

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valentinak56 [21]
The answer to the question is 1 and 3/4
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3 years ago
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You take out $50,000 for loans during your college career. You must pay it back with 7% APR for 20 years, making monthly payment
Ad libitum [116K]

Answer:

The monthly payment for the loan amount for 20 years is $806.167

Step-by-step explanation:

The principal loan amount= $ 50,000

The rate of interest = 7 %

the time period of loan = 20 years = 20 × 12 = 240 months

let the amount after 20 years = $ A

<u>From Compounded method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm Time}

or, A = 50,000 × (1+\dfrac{\textrm 7}{100})^{\textrm 20}

or, A = 50,000 × (1.07)^{20}

Or, A = 50,000 × 3.8696

∴ Amount = $ 193,480

So, The amount after 20 years = $ 193,480

The monthly payment amount = $ \frac{193480}{240} = $ 806.167

Hence The monthly payment for the loan amount for 20 years is $806.167 Answer

3 0
3 years ago
F(x)=−4x ^ 2 +10 {Find }f(-2)
BlackZzzverrR [31]

Answer:

f(-2) = -6

Step-by-step explanation:

<u>Step 1:  Set x to -2 </u>

f(-2) = -4(-2)^2 + 10

f(-2) = -4(4) + 10

f(-2) = -16 + 10

f(-2) = -6

Answer:  f(-2) = -6

3 0
3 years ago
Select the point that is a solution to the system of inequalities.<br> y≤2x-2<br> y≤ x²-3x
miss Akunina [59]

Both statements are true. Therefore (4,2) is a solution and option D is correct.

The given inequalities are y\leq 2x-2 and y\leq x^{2} -3x.

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

<h3>What is an example of a system of inequalities in real life?</h3>

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

For (-2, -1), -1\leq 2(-2)-2 \implies -1\leq -6.

This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.

For (1, 3), 3\leq 2(1)-2 \implies 3\leq 0

This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

For (2,1), 1\leq 2(2)-2 \implies 1\leq 2.

1\leq 2^{2} -3(2) \implies 1\leq -2

This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.

For (4,2), 2\leq 2(4)-2 \implies 2\leq 6

2\leq 4^{2} -3(4) \implies 2\leq 4

Both statements are true. Therefore (4,2) is a solution and option D is correct.

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

7 0
2 years ago
V=1/3 pi r squared h what is h?
Sveta_85 [38]

Step-by-step explanation:

V = 1/3 pi r^2 h

root(V ÷ 1/3 pi) = h

6 0
3 years ago
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