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OlgaM077 [116]
4 years ago
7

Drag each equation to show if it could be a correct first step to solving the equation

Mathematics
1 answer:
forsale [732]4 years ago
5 0

Answer:

<u>Yes</u>

  • (2 · x) + (2 · 7) = 36
  • x + 7 = 18
  • 2x + 14 = 36

<u>No</u>

  • 2x + 7 = 36
  • 2(x + 7) = 72
  • x + 14 = 36

Step-by-step explanation:

It is appropriate to eliminate parentheses as a first step. This can be done using the distributive property, resulting in either of ...

  • 2x +2·7 = 36
  • 2x +14 = 36 . . . . . 2·7 evaluated mentally

or by dividing the equation by the factor outside parentheses, resulting in ...

  • x + 7 = 18

___

Any of the equations other than these represent violations of the equal sign. Something has been done to one side of the equation without the same thing being done to the other side.

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Answer:I will just post them

Step-by-step explanation:

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3 years ago
Simplify completely x^2+7x-30/x+10
marta [7]

Answer:

(x-3)

Step-by-step explanation:

we have

\frac{x^{2}+7x-30}{x+10}

step 1

Simplify the numerator

Complete the square

Equate the equation to zero

x^{2}+7x-30=0

x^{2}+7x=30

x^{2}+7x+3.5^{2}=30+3.5^{2}

x^{2}+7x+12.25=42.25

Rewrite as perfect squares

(x+3.5)^{2}=42.25

Take square root both sides

(x+3.5)=(+/-)6.5

x=-3.5(+/-)6.5

x=-3.5(+)6.5=3

x=-3.5(-)6.5=-10

therefore

x^{2}+7x-30=(x-3)(x+10)

substitute in the numerator

\frac{x^{2}+7x-30}{x+10}=\frac{(x-3)(x+10)}{x+10}=x-3

8 0
4 years ago
You want to save for a brand-new car. You put the $5,000 your Grandma gave you when you graduated in an account that pays 6% int
Zielflug [23.3K]

Answer:

6,744.25

Step-by-step explanation:

8 0
3 years ago
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A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How m
Marizza181 [45]

Answer:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

Small number = S

Number = N

N = 2S + 3

N = 2(S+1)

N = N

2S + 3 = 2(S + 1)

2S + 3 = 2S + 2

-2S         -2S

3 = 2

No solutions

Therefore...

"No solutions exist because the situation describes two lines that have the same slope and different y-intercepts." is correct

8 0
3 years ago
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How to determine if an equation is linear or not?
AlladinOne [14]
If it's linear, it will follow the format:

y = mx + b

m is the slope, and b is the y intercept.
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3 years ago
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