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Neporo4naja [7]
3 years ago
10

Evaluate the function. f(x) = –22 + 8x Find f(-7)

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0

Answer:

-78

Step-by-step explanation:

f(x) = -22 + 8x

f(-7) = -22 + 8 (-7)

= -22 + -56

= -78

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Which is equivalent sin^-1 (cos(pi/2))?Give your answer in radians
NNADVOKAT [17]

Answer:

Given the expression: \sin^{-1}(\cos(\frac{\pi}{2}))

Let the value of the given expression in radians be \theta

then;

\sin^{-1}(\cos(\frac{\pi}{2})) =\theta

\cos \frac{\pi}{2} = \sin \theta              ......[1]

We know the value of \cos \frac{\pi}{2} = 0

Substitute the given value in [1] we have;

\sin \theta = 0

Since, the value of \sin \theta is 0, therefore, the value of \theta is in the form of:

\theta = n\pi ; where n is the integer.

At n =0, 1 and 2, {Since, n is the integer}

Value of  \theta =0, \pi and 2\pi

therefore, the answer in radians either   0 , \pi or 2\pi


6 0
3 years ago
Read 2 more answers
The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3<br> are…
Leokris [45]

Answer:

\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3

For finding the x intercept , <u>equate the given function with 0, we have ;</u>

\sf \implies 2x ( x - 5 )^2(x+4)^3= 0

Equate each factor with 0 ,

\sf \implies 2x = 0

Divide both sides by 2 ,

\sf \implies\bf x = 0

Again ,

\sf \implies ( x - 5)^2=0

Taking squareroot on both sides,

\sf \implies x - 5 = 0

Add 5 to both sides,

\sf \implies \bf x = 5

Similarly ,

\sf \implies \bf x = -4

<u>Hence</u><u> the</u><u> </u><u>x </u><u>Intercepts</u><u> </u><u>are </u><u>-</u><u>4</u><u> </u><u>,</u><u> </u><u>0</u><u> </u><u>and </u><u>5</u><u> </u><u>.</u>

{ See attachment also for graph } .

3 0
3 years ago
TBH, i am not sure what im doing. Here is a pic of the question.
tatyana61 [14]

Answer:

  7

Step-by-step explanation:

The order of operations tells you to start any evaluation by looking at the innermost set of parentheses first.

Here, that means your first step is to find the value of h(-3). You do that by finding the input (x) value -3 in the table for h(x), and locating the corresponding output, h(x), which is 2.

Now, the problem becomes evaluating g(2).

You do the same thing for that function: locate the input x=2 in the table for g(x) and find the corresponding output: 7.

Now, you know ...

  g(h(-3)) = g(2) = 7

4 0
2 years ago
To create a giant gemstone, sara first made two identical square pyramids that each had a base area of 100 square inches. Then s
inysia [295]

Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.

5 0
3 years ago
What is the value of x?
V125BC [204]
The value of X is 1
7 0
3 years ago
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