30 points if you answer this question and please show work !!

1 answer:

5 0

I don't know what is between f(x) and g(x), so (for now) there are two posible answers:

1. $f(x)g(x) = f(x)\cdot g(x)$ - function multiplication:

$f(x)g(x)=(2x-3)\cdot(3x+8)=2x\cdot3x+2x\cdot8-3\cdot3x-3\cdot8=\\\\=6x^2+16x-9x-24=\boxed{6x^2+7x-24}$

2. $f(x)g(x)=f(x)\circ g(x)$ - function composition:

$f(x)g(x) = f(x)\circ g(x) = f\big(g(x)\big)=2(3x+8)-3=2\cdot3x+2\cdot8-3=\\\\=6x+16-3=\boxed{6x+13}$

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Z^2 -6z+9=0 Factor and solve

Ymorist [56]

Factor because if we have
yz=0 then we can assume y and/or z=0

so factor
so the easiest way is to find what 2 numbers add to -6 and multiply to get 9 so
we know that they must be both - because we must have x+x=(-) and x^2=+ so therefor they must be negative
factors of 9=3 and 3 so
-3 and -3
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(z-3)(z-3)=0

set each to zero
z-3=0
add 3
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2 years ago

Which of the following functions gives the radius, r(v), of a conical artifact that is 20 inches tall as a function of its volum

nalin [4]

By calculus or elementary geometry, we know that the formula for the volume of a cone, given pi (the constant), its height h and its radius r is:
$V=pi*h*r^2/3$
Lets solve this relation for the radius:
$3V=pi*h*r^2
$
$\frac{3V}{pi*h} =r^2$
$\sqrt{\frac{3V}{pi*h}} = r$
Now we have found a general formula that gives us the radius of a cone, given its volume and height. We need only substitute height (20in) and pi=3.14 to get the numerical equation: r=0.2185* $\sqrt{V}$

5 0

3 years ago

Paul can walk 15 steps in 5 minutes. How long does it take Paul to walk 75 steps at the same speed? I got 25 minutes am i right?

lina2011 [118]

The best way to solve this one is with a proportion:

(15 steps) / (5 minutes) = (75 steps) / ('x' minutes)

Cross-multiply the proportion: 15 x = 5 x 75

Divide each side by 15 : x = 5 x 5 = <em>25 minutes</em>.

You are correct, and Paul walks very slowly.

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2 years ago

Read 2 more answers

Given the function f(x) = x - 10, what is the corresponding value when x = -12? *

Dahasolnce [82]

Answer:

-22

Step-by-step explanation:

-12 - 10 = -22

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2 years ago

(Help needed ASAP I’m confused ) Solve the equation by using the distributive property first