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3 years ago

Write an equation in slope intercept form for the line with slope three and Y intercept -1

Mathematics

1 answer:

gladu [14]3 years ago

3 0

The equation in slope intercept form for the line with slope 3 and Y intercept -1 is y = 3x -1 .

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I have this calculus problem that I’m having trouble with. I’m not allowed to use the power rule. I need to use the formula s’(t

qaws [65]

Step-by-step explanation:

Know that

The derivative of position with respect of t is velocity.

Or if you want to say

$\frac{d}{dt} (s(t) = v$

Or in the form of the definition of the derivative

$s'(t) = \frac{6 (t + h) {}^{3} + 2(t + h) + 9 - (6 {t}^{3} + 2t + 9) }{h}$

$s'(t) = \frac{6 {t}^{3} + 18t {}^{2}h + 18h {}^{2} t + 6 {h}^{3} + 2t + 2h + 9 - (6 {t}^{3} + 2t + 9)}{h}$

$s'(t) = \frac{18 {t}^{2}h + 18h {}^{2}t + 6h {}^{3} + 2h }{h}$

$s'(t) = 18 {t}^{2} + 18th + 6h {}^{2} + 2$

Let h be a small number, so we can cancel out small things.

$s'(t) = 18 {t}^{2} + 2$

We know the derivative of position is velocity

$v = 18 {t}^{2} + 2$

So the velocity at time t is

$v = 18 {t}^{2} + 2$

Plug in 3 for t to find the velocity

$v(3) =18(3) {}^{2} + 2$

$v(3) = 164$

So the velocity at t=3, is 164.

Next, the derivative of velocity is acceleration so

$v'(t) = \frac{18(t + h) {}^{2} + 2 - (18 {t}^{2} + 2)}{h}$

$v'(t) = \frac{18 {t}^{2} + 36ht + 18 {h}^{2} + 2(- 18 {t}^{2} + 2 ) }{h}$

$v'(t) = \frac{36ht + 18 {h}^{2} }{h}$

Divide by h.

$v'(t) = 36t + 18h$

$v'(t) = 36t$

The derivative of velocity is acceleration so

$a = 36t$

The acceleration in time t is

$36t$

To find acceleration, plug in 3 for t.

$a(3) = 36( 3) = 108$

4 0

3 years ago

What does m-7 equal?

Orlov [11]

answer

I think the answer is 142

3 0

3 years ago

Xz=58 and yz=23.1 find xy

Pachacha [2.7K]

Step-by-step explanation:

$XZ = 58$

$YZ = 23.1$

$XY = XZ + YZ$

$XY =58 + 23.1$

$XY = 81 .1$

4 0

2 years ago

Please help me and show <br> Work <br> Thank you

Luda [366]

Answer:

120

Step-by-step explanation:

7 0

4 years ago

Can someone please help me I have been stuck what one

Viefleur [7K]

Answer:

The inequality matches the graph is 2n + 5 ≤ 7 ⇒ A

Step-by-step explanation:

Let us solve the question

<em>From the given graph</em>

∵ The arrow starts from 1 and pointed to the left (negative part)

∵ The starting point of the arrow is bold

∴ The sign of the inequality is ≤ (smaller than or equal)

→ That means the solution of the inequality is all the numbers ≤ 1

∴ The solution of the inequality is n ≤ 1

→ Look at the choices and find which one has the sign ≤ and check if

it will give the same solution or not

∵ The inequality is 2n + 5 ≤ 7

→ Subtract 5 from both sides

∴ 2n + 5 - 5 ≤ 7 - 5

∴ 2n ≤ 2

→ Divide both sides by 2

∴ n ≤ 1

∵ The inequality gives the same solution of the given graph

∴ The inequality matches the graph is 2n + 5 ≤ 7

4 0

3 years ago