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spayn [35]
3 years ago
14

What is the justification for each step in the solution of the equation? 13x−4=−9(4+3x)+12

Mathematics
1 answer:
Rudik [331]3 years ago
5 0

Answer:

  1. distributive property
  2. properties of numbers (12-36 = -24)
  3. addition property of equality

Step-by-step explanation:

1. The first step is elimination of parentheses. That is accomplished by making use of the distributive property—multiplying everything inside parentheses by the multiplier outside.

2. The numbers -36 and +12 are combined in this step to make -24. The ability to do so comes from the properties of real numbers: you can add them.

3. In this step, we added 4 to both sides of the equation. The addition property of equality lets us do that without compromising the truth of the equal sign. (Just as in the previous step where we added 27x to both sides.)

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This graph shows how the total number of appetizer recipes jonathon knows depends on the number of weeks he attends culinary sch
Travka [436]

Answer:

3

Step-by-step explanation:

.........................

7 0
2 years ago
Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 1.Isolate one variable in the system of equations, if needed. y =
gladu [14]
The values of x are 2 and -1.

Solving the equation created by substitution listed in the question:

-2x+14=x²-3x+12

Add 2x to both sides:
-2x+14+2x=x²-3x+12+2x
14=x²-1x+12

Subtract 14 from both sides:
14-14=x²-1x+12-14
0=x²-1x-2

Factoring this, we want factors of -2 that sum to -1; -2(1) = -2 and -2+1=-1:
0=(x-2)(x+1)

Using the zero product property, we know that either x-2=0 or x+1=0:
x-2=0
x-2+2=0+2
x=2

x+1=0
x+1-1=0-1
x=-1
4 0
3 years ago
Read 2 more answers
What is an equation that goes through the point (-7, 10) and is perpendicular to the line -2x-4y=9
algol13

Step-by-step explanation:

m1.m2= -1

(4y = -2x -9)= (y = -1x/2 -9/4)

-1/2.m2= -1

m2 = 2

formula = y - y1 = m2 ( x - x1)

y - 10 = 2 ( x - (-7))

y - 10 = 2x + 14

y = 2x + 24

7 0
3 years ago
If nico spends $5.76 on tomatoes,how many pounds did he purchase?
tia_tia [17]

The amount of in pound of tomatoes purchased is \frac{5.76}{p}

To obtain the number of pounds of tomatoes purchased :

  • Let the price per pound of tomato = p

The Number of tomatoes purchased equals :

  • Total amount spent ÷ price per pound

Therefore, the Number of tomatoes purchased will be :

  • 5.76 ÷ p

The Number of pounds of tomatoes purchased = \frac{5.76}{p}

Learn more :brainly.com/question/18109354

4 0
3 years ago
What is the factored form of the expression. <br> 4n^2 + 24n + 36
skad [1K]

Answer:

(2n+6)^2

Step-by-step explanation:

To solve this, you can use the given formula: x^2 + 2xy + y^2

In this case, 4n^2 is x^2, 24n is 2xy, and 36 is y^2. The next step is:

(2n)^2 + 2(2n)(6) + (6)^2

Since this equation fits into this formula ( x^2 + 2xy + y^2), we can do:

(2n+6)(2n+6) =

(2n+6)^2

Hence, the answer is (2n+6)^2

6 0
3 years ago
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