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mars1129 [50]
4 years ago
15

Use the distributive property to simplify the following expression: 3y(2 - y) + 8y

Mathematics
1 answer:
Debora [2.8K]4 years ago
5 0
3y(2 - y) + 8y
6y - 3y^2 + 8y
-3y^2 + 14 y
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Which graph represents the function of f(x) 9x^2 + 9x - 18 / 3x + 6
Irina-Kira [14]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=\frac{9x^{2}+9x-18}{3x+6}

Remember that in a quotient, the denominator cannot be equal to zero

so

The value of x cannot be equal to x=-2

Simplify the expression

Using a graphing tool

The roots of the quadratic equation in the numerator are

x=-2 and x=1

so

9x^{2}+9x-18=9(x+2)(x-1)

Simplify the denominator

3x+6=3(x+2)

substitute in the original expression

f(x)=\frac{9(x+2)(x-1)}{3(x+2)}

Simplify

f(x)=3(x-1)

f(x)=3x-3

Is the equation of a line

The y-intercept is the point (0,-3) (value of the function when x is equal to zero)

The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)

Graph the line, but remember that the value of  x cannot be equal to -2

The graph in the attached figure

7 0
3 years ago
What is the probability that a card drawn randomly from a standard deck of 52 cards is a red eight Express your answer as a frac
vekshin1

Answer:

=1/26

Step-by-step explanation:

In a 52 card deck there are 2 red 8's ( hearts and diamonds)

P(red 8) = number of red 8's / total

             =2/52

             =1/26

4 0
3 years ago
0 = 4x + 4 linear equation
FinnZ [79.3K]

Answer:

x = -1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

0 = 4x + 4

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 4 on both sides:                    -4 = 4x
  2. Divide 4 on both sides:                        -1 = x
  3. Rewrite:                                                 x = -1
7 0
3 years ago
How many times does 20 go into 168?
ch4aika [34]
The answer:

8 times

Explanation:

If you divide 168 by 20, you get 8.4, and the whole number is 8 so that’s the answer.
7 0
3 years ago
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Emma kept track of the number of puzzles solved during the past 10 days. She realized that she didn't solve any puzzles in the l
AveGali [126]
I think the answer is 13
6 0
3 years ago
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