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Whitepunk [10]
2 years ago
8

HELP ME PLEASE!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Pepsi [2]2 years ago
6 0

The ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]

<h3>System of equations</h3>

Given the following system of equations expressed as:

f(x) = x² - 2x + 3 and f(x) = -2x + 12

Since they are both function of x, hence;

x² - 2x + 3 = -2x + 12

x² - 2x + 3 + 2x - 12 = 0

x² - 9 = 0

x² = 9

x = ±√9

x = ±3

If x = 3

f(x) = -2(3) + 12

f(x) = 6

If x = -3

f(x) = -2(-3) + 12

f(x) =18

Hence the ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]

Learn more on system of equation here: brainly.com/question/14323743

#SPJ1

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Answer:

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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.

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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

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

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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

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

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3 years ago
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See picture for answer and solution steps.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

In the figure below, XZ is a diameter of circle A.

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