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2 years ago

What is the range of this function?

Mathematics

2 answers:

jasenka [17]2 years ago

6 0

Answer:

c) -16 ≤ x < 5

Step-by-step explanation:

The given function is f(x) = -3x + 2 and domain is -1 < x ≤ 6

The maximum value of the domain is 6 and the minimum value of the domain is -1.

To find the range, plugin the maximum and minimum value of the domain.

Plug in x = 6 in the given function, we get

f(6) = -3(6) + 2 = -18 +2 = -16

f(-1) = -3(-1) + 2 = 3 + 2 = 5

So the range is -16 ≤ x < 5

german2 years ago

4 0

The answer is C. Just plug in the maximum and minimum domain values (because the function is linear, you don't have to worry about more complicated things happening in the middle) and be careful with the signs.

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Find the m∠CDE, if m∠BCA = 90° and m∠BAC =57°. 33° 43° 57° 67°

garri49 [273]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The slope of the line in the graph is

gizmo_the_mogwai [7]

Answer:

the slope of the line in the graph is: 3

the y-intercept is: -4

the equation of the line is: y=3x-4

Step-by-step explanation:

If we find a point on the graph and count it until it reaches other solid point we get that you have to go up three and to the right by one. This solid point I looked at was (0,-4) and counted up to (-1,1). To find the slope, we have to simply count and use "rise over run". The rise is 3 for every 1 we run, making the slope 3/1 which is 3.

the y-intercept is the point on the graph that touches the y-axis on the graph. The only point on the graph that touches the y-axis is -4, making the y-intercept -4.

The equation for a graph is y=mx+b. m would be the slope and b would be the y-intercept. We know that the slope is 3 (m) and that the y-intercept is -4 (b). Putting them together, we get that the equation of the graph is y=3x-4.

6 0

2 years ago

3. Planet Fitness Club charges $30 per month for a membership. 24-Hour Fitness Club charges $22 per month plus an $80 initial fe

umka2103 [35]

Answer:

The number of months after which amount paid to two fitness clubs be the same is 10

Step-by-step explanation:

Given as :

The charge of Mikes fitness center = $30 per month fro membership

The charge of All-Day fitness center= $22 per month fro membership + $80

initiation charge

Let The number of months after which amount paid to each club be same = x

So, According to question :

30 x = 22 x + 80

Or, 30 x - 22 x = 80

Or, 8 x = 80

So x =

∴ x = 10

Hence The number of months after which amount paid to two fitness clubs be the same is 10 Answer

7 0

3 years ago

If x = a cosθ and y = b sinθ , find second derivative

Olin [163]

I'm guessing the second derivative is for y with respect to x, i.e.

$\dfrac{\mathrm d^2y}{\mathrm dx^2}$

Compute the first derivative. By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}$

We have

$y=b\sin\theta\implies\dfrac{\mathrm dy}{\mathrm d\theta}=b\cos\theta$

$x=a\cos\theta\implies\dfrac{\mathrm dx}{\mathrm d\theta}=-a\sin\theta$

and so

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{b\cos\theta}{-a\sin\theta}=-\dfrac ba\cot\theta$

Now compute the second derivative. Notice that $\frac{\mathrm dy}{\mathrm dx}$ is a function of $\theta$ ; so denote it by $f(\theta)$ . Then

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm dx}$

By the chain rule,

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm df}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}$