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Rudiy27
4 years ago
15

2 questions here. What does the equation of line mean on number 7? And how do I do 8?

Mathematics
1 answer:
ycow [4]4 years ago
6 0

Equation of line is doubling

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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
-4 1/5+3 2/3+ -1 2/5
Paul [167]

Answer:

-1.9

Step-by-step explanation:

I rounded it to the tenth

8 0
4 years ago
Read 2 more answers
6. Christopher wants to leave a 15% tip for his breakfast. His breakfast cost $23.00, how
Anestetic [448]

Answer:

$3.45

Step-by-step explanation:

The tip is 15% of his breakfast, that means 15% of 23

That is 15%* 23= 15*23/100= 3.45 $

The tip is $3.45

Have a good day.

7 0
3 years ago
If x – 9 is a factor of x2 – 5x – 36, what is the other factor? x – 4 x 4 x – 6 x 6
Sergio [31]

Answer:

(x+4)

Step-by-step explanation:

Solve by factoring. Think about what numbers multiply to be -36 (the last term) BUT also subtract/add up to be -5, which is the middle term. The answer to this is 4 and -9. Therefore, the two factors are (x-9)(x+4)

8 0
3 years ago
Help please im doing my finals
AysviL [449]
Sorry it to hard to help out next times
8 0
3 years ago
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