Ask question

Ask question

All categories

4 years ago

11

Which of the following represents the graph of f(x) = 2(x + 3)?

1 answer:

Yuliya22 [10]4 years ago

3 0

We have that

the correct expression is
y=2<span>^</span>(x+3)

using a graph tool
see the attached figure

the answer is the option C

You might be interested in

EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

8 0

4 years ago

The area of a square poster is 59 in squared 2 Find the length of one side of the poster to the nearest tenth of an inch.

Alecsey [184]

I think it is 0.58 to the nearest tenth of an inch. hope I'm not wrong.

5 0

3 years ago

How do you prove a right angle?

Ksivusya [100]

If the angle is a perfect 90 degrees then it’s a right angle

7 0

3 years ago

Read 2 more answers

What number is the opposite of 90?

zloy xaker [14]

Answer:

-90

Step-by-step explanation:

5 0

3 years ago

What is the equation for a circle given its center is at (4, -1) and its radius is 5? 1(x - 4)2 + (y + 1)2 = 25 2(x + 4)2 + (y -

umka2103 [35]

Answer:

(x - 4)² + (y + 1)² = 25

Step-by-step explanation:

Circle Formula: (x - h)² + (y - k)² = r²

We are given <em>r</em>, and <em>(h, k)</em>, so simply plug them into the formula to get your answer.

4 0

4 years ago