All categories

3 years ago

Find the point on the graph of the given function at which the slope of the tangent line is the given slope.

Mathematics

1 answer:

mezya [45]3 years ago

3 0

Answer:

A ( -2 , 9 )

Step-by-step explanation:

Idea: You find the first derivative of f(x), and then set it equal to the desired slope. You'll find some x. That we will use to find the point.

f'(x) = 3x^2 + 12x + 20

f'(x) = 8

3x^2 + 12x + 20 = 8

3x^2 + 12x + 12 = 0

3 ( x^2 + 4x + 4 ) = 0

3 ( x + 2 )^2 = 0

x + 2 = 0

x = -2

So, the desired point is:

A ( -2, f(-2) ) --> A ( -2 , 9 )

You might be interested in

I really need help with this one. I’ll give u brainliest

zaharov [31]

Answer

248

I think :P

4 0

3 years ago

Read 2 more answers

A new car is purchased for 19700 dollars. The value of the car depreciates at

Usimov [2.4K]

Answer:

Step-by-step explanation:

We can plug this into a formula and get

$5,500 = 19,700(.9075)^{?}$

the .9075 comes from 1 - the depreciation value of 9.25% which converts to .0925 in decimal form.

? is what we are trying to solve for.

We can divide both sides by 19,700 and we get

$\frac{55}{197} = (0.9075)^?$

so ? is about 13.

6 0

3 years ago

PLEASE IM DESPERATE BRAINLIEST+THANKS***

Sloan [31]

ANSWER

Option B

and

Option D.

EXPLANATION

The graph of the function has an amplitude of 2 and a period of

$\frac{2\pi}{3}$

Choose all the equation that has an amplitude of 2 and a period of

$\frac{2\pi}{3}$

These are:

$y = 2 \sin3(x - \frac{2\pi}{3} )$

and

$y = 2 \sin(3x)$

The second and the last options are correct.

3 0

3 years ago

Read 2 more answers

Three Texas drovers met on a highway and began to dicker as follows:

Alik [6]

Answer:

Jim's: 7
Duke's: 21
Hank's: 11

Step-by-step explanation:

Let J, D, and H represent the drove sizes of Jim, Duke, and Hank.

2(H -6 + 1) = (J +6 -1) . . . . . Hank's offer

3(D -14 +1) = (H +14 -1) . . . . Duke's offer

6(J -4 +1) = (D +4 -1) . . . . . . Jim's offer

These equations can be simplified to ...

2H - J = 15

3D - H = 52

6J - D = 21

Solution

Adding twice the second equation to the first gives ...

2(3D -H) +(2H -J) = 2(52) +(15)

6D -J = 119

Adding 6 times the third equation to this one gives ...

6(6J -D) +(6D -J) = 6(21) +(119)

35J = 245

J = 7

Using this value in the third equation gives ...

6(7) -D = 21

42 -21 = D = 21

Using the value of J in the first equation gives ...

2H -7 = 15

H = (15 +7)/2 = 11

Then the solution is (J, D, H) = (7, 21, 11).

Jim's drove had 7 animals; Duke's drove had 21 animals; Hank's drove had 11 animals.

5 0

3 years ago

What is the definition of square root?

Mariana [72]

A square root is a number that produces a specific number when multiplied by itself. Basically it's the same number multiplied by itself.
hope this helps:)

6 0

3 years ago

Read 2 more answers