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Mathematics

1 answer:

Lelechka [254]3 years ago

3 0

B. Y=4x-14

Think about where the point is on the grid and then use the slope to get to the y-intercept. So for this question your going to have to move backwards to get to the y axis. Move down 12 units and left 3 and that’ll give you the y-intercept which will match in the equation.

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Write the phrase as an expression: 8 less than ten

rewona [7]

Answer:

10-8

Step-by-step explanation:

8 0

3 years ago

Use CALCULUS to find coordinates of the turning point on C.

antiseptic1488 [7]

Oi

Just calculating the differential. Step by step:

$y=12 \sqrt{x} -x \frac{3}{2}-10 \\ \\ y=12x^{ \frac{1}{2} } -x \frac{3}{2}-10 \ \ \ \boxed{transform \ \sqrt{x} =x^{ \frac{1}{2} }} \\ \\ Differentiating \\ \\ y'=12. \frac{1}{2}.x^{ \frac{1}{2}-1 } -1.x^{1-1}. \frac{3}{2}-0 \\ \\ y'=6.x^{ -\frac{1}{2} } -x^{0}. \frac{3}{2} \\ \\ y'=6. \frac{1}{x^{ \frac{1}{2} }} -1. \frac{3}{2} \\ \\ \boxed{y'=\frac{6}{ \sqrt{x} } -\frac{3}{2}}$

If you want to know where the tangent has no slope:

$\frac{6}{ \sqrt{x} } - \frac{3}{2} =0 \\ \\ \frac{6}{ \sqrt{x} } = \frac{3}{2} \\ \\ 3 \sqrt{x} =12 \\ \\ \sqrt{x} = \frac{12}{3} \\ \\ \sqrt{x} =4 \\ \\ (\sqrt{x})^2 =4^2 \\ \\ x=16$

3 0

3 years ago

NEED ANSWER ASAP!!!!

gayaneshka [121]

Answer:

y=4x+64

Step-by-step explanation:

The slope intercept form is y=mx+b, m being the slope and b being the y-intercept

The line intersects the y axis at (0, 64), so the y intercept is 64

To find the slope, find the change in y over the change in x

The y decreases by 16 every time the x increases by 4

SO the slope is 16/4, simplified to 4

y=4x+64

6 0

2 years ago

What is the value of x in the solution to this system of equations? 3x = 2y + 14 y = -6x + 18

zmey [24]

Use substitution
3x = 2(-6x + 18) + 14
3x = -12x + 36 + 14
3x = -12x + 50
15x = 50, x = 50/15 = 10/3
Solution: x = 10/3

4 0

2 years ago

When solving the equation 4(3x^2 +2)-9=8x^2+7. Emily wrote 4(3x + 2)=8x^2 + 16 as her first step. Which property justifies Emily

vfiekz [6]

Hello :
4(3x² +2)-9=8x²+7 = 4(3x^2 +2)-9 +9 =8x²+7 +9
= 4(3x² + 2)=8x² + 16
(State a reason why1) Addition Property of Equality)

6 0

3 years ago

Can someone help me Asap​

Can someone help me Asap