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uysha [10]
2 years ago
6

Assume f(x) = -2x+8 and g(x) = 5x. What is the value of (f o g)(3)?

Mathematics
1 answer:
makkiz [27]2 years ago
4 0

Answer: C

Step-by-step explanation:

(fog)(3) is the same as finding f(g(3)). To solve, we first need to solve g(3). then, we solve for f(g(3)).

g(3)=5(3)                  [multiply]

g(3)=15

Now, we plug in 15 into f(x).

f(g(3))=-2(15)+8       [multiply]

f(g(3))=-30+8           [add]

f(g(3))=-22

Now, we know that C is the correct answer.

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Write the following out digits: seventy three thousand, seven hundred eighty nine
DanielleElmas [232]
To right this out in digits, it would look like this: 73,789
4 0
3 years ago
X + 8 + 2x <= 2x + 13
sergejj [24]

Answer:

X = 15

Step-by-step explanation:

We move all terms to the left:

<em>x+8+2x-(2x+13)=0</em>

We add all the numbers together, and all the variables:

<em>3x-(2x+13)+8=0</em>

We get rid of parentheses:

<em>3x-2x-13+8=0</em>

We add all the numbers together, and all the variables:

<em>x-5=0</em>

We move all terms containing x to the left, all other terms to the right:

<em>x=5</em>

5 0
2 years ago
generally people cover 110 yards in 11 seconds. express the speed in feet per second. (3 feet = 1 yard)
ivolga24 [154]
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3 0
3 years ago
Find the integral, using techniques from this or the previous chapter.<br> ∫x(8-x)3/2 dx
Soloha48 [4]

Answer:

\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C

Step-by-step explanation:

For this case we need to find the following integral:

\int x(8-x)^{3/2}dx

And for this case we can use the substitution u = 8-x from here we see that du = -dx, and if we solve for x we got x = 8-u, so then we can rewrite the integral like this:

\int x(8-x)^{3/2}dx= \int (8-u) u^{3/2} (-du)

And if we distribute the exponents we have this:

\int x(8-x)^{3/2}dx= - \int 8 u^{3/2} + \int u^{5/2} du

Now we can do the integrals one by one:

\int x(8-x)^{3/2}dx= -8 \frac{u^{5/2}}{\frac{5}{2}} + \frac{u^{7/2}}{\frac{7}{2}} +C

And reordering the terms we have"

\int x(8-x)^{3/2}dx= -\frac{16}{5} u^{\frac{5}{2}} +\frac{2}{7} u^{\frac{7}{2}} +C

And rewriting in terms of x we got:

\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C

And that would be our final answer.

8 0
3 years ago
Simplify 8x + y - 2x.
iren2701 [21]

Answer:

6x + y

Step-by-step explanation:

3 0
3 years ago
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