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alex41 [277]
3 years ago
5

The square of a number is equal to two less than three times the number. What are two possible values of the number?

Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:

A, 1,2

Step-by-step explanation:

we translate it first into language of math

we use n for the number

n² = 3n - 2

then, do some algebra things

n² - 3n + 2 = 0

then factorize it

(n - 2)(n - 1) = 0

first n

n - 2 = 0

n = 2

2nd n

n - 1 = 0

n = 1

so n can be 1 or 2

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Find the zeros of the polynomial function: <br> f(x) = 9x^3 - 27x^2 - 4x + 12.
hichkok12 [17]

Answer:

  {-2/3, 2/3, 3}

Step-by-step explanation:

The equation can be factored by grouping.

  f(x) = (9x^3 -27x^2) +(-4x +12)

  f(x) = 9x^2(x -3) -4(x -3)

  f(x) = (9x^2 -4)(x -3)

We recognize the first factor as the difference of squares, so know it can be further factored to give ...

  f(x) = (3x -2)(3x +2)(x -3)

The zeros are the values of x that make these factors be zero:

  3x -2 = 0   ⇒   x = 2/3

  3x +2 = 0   ⇒   x = -2/3

  x -3 = 0   ⇒   x = 3

The zeros of the polynomial are x = -2/3, 2/3, 3.

3 0
3 years ago
What ordered pair is a solution of the system of equations y=x^2-x-20 and y=3x-15?
Licemer1 [7]

Hey there!!

Equations given :

y = x² - x - 20 -------- ( 1 )

y = 3x - 15 ------------ ( 2 )

Now, lets first solve for the 1st equation ...

... x² - x - 20

We can write -x as -5x + 4x

... x² + 4x - 5x - 20

... x ( x + 4 ) - 5 ( x + 4 )

... ( x - 5 ) ( x + 4 )

y = ( x - 5 ) ( x - 4 )

Now, let's solve the second equation ...

y = 3x - 15

... y = 3 ( x - 5 )

We have two equations, now getting them together..

3 ( x - 5 ) = ( x - 5 ) ( x - 4 )

Divide by x-5 on both sides

3 = x - 4

Add 4 on both sides

x = 7

The value of x is 7

Now substituting this, we get the value of y

We have,

y = 3x - 15

... y = 3(7 ) - 15

... y = 21 - 15

... y = 6

Hence, the ordered pair is ( 7 , 6 )

Hope my answer helps!

4 0
3 years ago
(FUNCTIONS) please help me on this question!<br> if f(x)=-5x+3, determine the value for f(-4)
Aleks04 [339]
F(x) = -5x + 3

f(-4) = -5(-4) + 3

f(-4) = 20 + 3

f(-4) = 23
4 0
3 years ago
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3241004551 [841]

Answer:120 cards

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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