Which is the graph of the following equation?
|x| = 2

Answer:

The equation has 2 solutions

c = -12

c = 12

Step-by-step explanation:

Swap the sides

c² = 62 = 82

Simplify the equation

c² = 144

separate the solutions

c = ± 12

Solution

c = -12

c = 12

Evaluate the derivative of f(x) at x = 1. I'll use the limit definition:

[tex]\displaystyle \lim_{x\to1} \frac{f(x)-f(1)}{x-1} = \lim_{x\to1} \frac{6x^2-x^3-5}{x-1} = \lim_{x\to1}(-x^2+5x+5) = 9[/tex]

Then using the point-slope formula, the equation of the tangent line to f(x) at the point (1, 5) is

y - 5 = 9 (x - 1)

y = 9x - 4

The equation of "tangent-line" to the curve "y = 6x² - x³" at the point (1, 5) is : y = 9x - 4.

To find the derivative of the function f(x) = 6x² - x³, we differentiate each term with respect to x:

f(x) = 6x² - x³,

f'(x) = d/dx (6x²) - d/dx (x³),

f'(x) = 12x - 3x²,

Now, we need to find f'(1), which means evaluating derivative at x = 1;

f'(1) = 12(1) - 3(1)²,

f'(1) = 12 - 3,

f'(1) = 9,

The slope of tangent-line at point (1, 5) is given by f'(1), which is 9;

Using the point-slope form of equation of line (y - y₁ = m(x - x₁)), where m = slope and (x₁, y₁) is the given point (1, 5);

⇒ y - 5 = 9(x - 1),

Simplify the equation:

⇒ y - 5 = 9x - 9,

⇒ y = 9x - 4,

Therefore, the required equation of tangent-line is y = 9x - 4.

Learn more about Tangent Line here

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The Correct choice is :

Answer:

The only zero of [tex]F^{-1}(x)[/tex] is [tex]3[/tex].

Step-by-step explanation:

The function [tex]F^{-1}[/tex] is the inverse of function [tex]F[/tex].

For a given [tex]x[/tex] and a given [tex]y[/tex], [tex]F^{-1}(y) = x[/tex] if and only if [tex]F(x) = y[/tex].

Let [tex]y[/tex] be a zero of [tex]F^{-1}(y)[/tex]. That is, [tex]F^{-1}(y) = 0[/tex].

By the reasoning above, since [tex]x = 0[/tex] and this particular [tex]y[/tex] satisfy [tex]F^{-1}(y) = x[/tex], it must be true that [tex]F(x) = y[/tex] for the same [tex]x = 0\![/tex] and [tex]y\![/tex].

Since [tex]x = 0[/tex] and [tex]F(x) = x + 3[/tex], [tex]F(0) = 3[/tex]. Therefore, [tex]y = F(0) = 3[/tex] since [tex]y = F(x)[/tex].

Thus, the zero of [tex]F^{-1}(y)[/tex] would be [tex]y = 3[/tex].

Angle x and 2 are congruent so angle 2 is also 47 degrees.

Angle x and angle 1 are supplementary so angle x and angle 1 adds up to 180 degrees.

180-47=133. Angle 1 is equal to 133.

Angle 1 and angle 3 are congruent as well so angle 3 is also 133 degrees.

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Three equal sides, so lets find one by solving for x

6x + 16 = 9x-11

      -3x = -27

         x = 9

6(9) + 16 = 70

 9(9) - 11 = 70

70(3) = 210 cm

Answer:

look at the photo............

9514 1404 393

Answer:

  ∠PTQ = 40°

  ∠PTR = 140°

Step-by-step explanation:

The two marked angles are "vertical" angles, so are congruent.

  ∠PTQ = ∠STR

  (x +28)° = (2x +16)°

  12 = x . . . . . . . . . . . . . . . divide by °, subtract x+16

Then the measure of angle PTQ is ...

  ∠PTQ = (x +28)° = (12 +28)° = 40°

That and angle PTR form a linear pair, so are supplementary.

  ∠PTR = 180° -∠PTQ = 180° -40° = 140°

Answer:

[tex]x=\frac{3\left(y+15\right)}{4}[/tex]

Step-by-step explanation:

Answer:

I belive the answer is 15! Brainest?

Step-by-step explanation:

Answer:

Step-by-step explanation:

49 i Think I dont know but your part A is correct

Answer:

49 For sure is your answer

Everyone uses this sofware to develop there decent knowledge about different courses that are best taught by Artificial Intelligence (A.I.).

Answer

5x

Step-by-step explanation:

Answer:

i need a picture or something man

Step-by-step explanation:

Answer:

863.83

Step-by-step explanation:

es por qué es un número multimedios y los los número se asen pares

dl

Answer:

we need the amount of tips to answer this ;-;

Step-by-step explanation:

w + 2 = x

x + 2 = y

Cross multiply

y(w+2) = x(x+2)

wy + 2y = x^2 + 2x

make x the subject of the equation

x = y - 2

substitute this in place of (x) in 2x

wy + 2y = x^2 + 2(y-2)

wy + 2y = x^2 + 2y - 4

wy  + 2y - 2y + 4 = x^2

wy + 4 = x^2

Answer:

$265.669

Step-by-step explanation:

$91.61 times 2.9 equals 265.669, therefore it would cost him $265.669. Round up/down if needed.

Answer:

Step-by-step explanation:

x ≥ 1

Hope this helps!

close circle = ≥ or ≤

open circle = > or <

positive number = going to the right

negative number = going to the left

Answer:

m/4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because > means more than the other number

Answer:

B

Step-by-step explanation:

Might be C, but I hope it helps

Answer:

Answer: 25 miles

Step-by-step explanation:

Explanation: He will run 5 hours= 5x5=25

Answer:

25 miles

Step-by-step explanation:

I'll create a set of proportions to figure out the answer (represented by x):

2:10 = 5:x

It looks like our proportion on the left, 2:10, can be simplified by dividing both sides by 2 to get 1:5.

1:5 = 5:x

You can multiply 1 by 5 to get 5, so we should be able to multiply 5 by 5 to get the value of x. 5 times 5 is 25, so the answer to the question is 25 miles.

If you have questions or need clarification on anything, let me know!

Answer:4,66

Step-by-step explanation: first , we subtracted 1 people . 34,56 - 1,94 = 32,62 . then we divided for seven people . we have : 32,62 : 7 = 4,66 each person

Answer:

after a dry periods lasting many years only a few individuals of a tree population survive and then produce drought tolerant offspring.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

hlo!! dear!! glad to help u!

2x – 15 – 7x + 24 = -36​

2x -7x -15 +24= -36

-5 x + 9= -36

-5 x = -36-9

-5 x =-45

x = -45/-5

x = 8

thank u!!!

Answer:

About 300 dollars

Step-by-step explanation:

THe best estimate for week one is 300, because 96 rounds to 100, and 100 * 3 equals 300.

The best estimate for week 2 is 600, because 204 rounds to 200, and 200 * 3 equals 600.

600 - 300 = 300, therefore the difference is about 300 dollars.

Hope this helps!

Answer:

x=-5

Step-by-step explanation:

move the x to the other side. Then move the - 23. you get -x=5

you divide by -1 and you get x=-5

Step-by-step explanation:

Given equation,

-23 = x - 18

⇛-23 + 18 = x

⇛ -5 = x

⇛x = -5 Ans.

Hence, the value of "x" is -5.

Answer:

b= -6

y^(b×4) = y^(-24)

b= -6

Answer:

Step-by-step explanation:

The slope intercept form is like so:

y = mx + b

mx is the slope

b is the y-intercept

Now in your equation:

y = 0.25x + 2

0.25x is the slope

2 is the y-intercept