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2 years ago

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:

x+8+2x-(2x+13)=0

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

3x-(2x+13)+8=0

We get rid of parentheses:

3x-2x-13+8=0

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

x-5=0

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

x=5

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]

1 yd = 3 feet....so 110 yds = 3(110) = 330 ft

330 feet / 11 seconds = (330/11) = 30 feet per second

3 0

3 years ago

Find the integral, using techniques from this or the previous chapter. ∫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

Read 2 more answers