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3 years ago

F(x) = 2x - 8 g(x) = -5x What is h(x) = f(x)g(x)?

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Answer:

-10x^2 + 40x

Step-by-step explanation:

f(x) = 2x - 8

g(x) = -5x

f(x)g(x)= (2x-8) (-5x)

= -10x^2 + 40x

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

4 years ago

Can you give me the answer by 11 pm

otez555 [7]

355.30 or if rounded 355

6 0

3 years ago

23 – 7x2 + 19x – 19 is divided by 3 – 3?<br> result in the form q(x) + baby

snow_tiger [21]

Answer:

=−7x2+19x+ 41/3

Step-by-step explanation:

5 0

4 years ago

Find x of the triangle

sukhopar [10]

Answer:

Step-by-step explanation:

altitude = sqrt(6*8) = 4*sqrt(3)

Use the Pythagorean Theorem to derive x

altitude^2 + 18^2 = x^2

48 + 18^2 = x^2

x^2 = 342

x = 3*sqrt(38)

x = 18.49

5 0

3 years ago

What is the volume of a rectangular pool that is 20.00 meters long, 12.00 meters deep, and 13.00 feet wide (1 meter

almond37 [142]

Answer:

240 m³

Step-by-step explanation:

volume = length × width × depth

240 m³ = 20 m × 1 m × 12 m

3 0

3 years ago