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3 years ago

4-2(x+7)=3(x+5) can ya'll help me with the steps.

Mathematics

2 answers:

Ksenya-84 [330]3 years ago

4 0

Answer:

x = -5

Step-by-step explanation:

4 - 2(x+7) = 3(x+5)

4 - 2*x - 2*7 = 3*x + 3*5

4 - 2x - 14 = 3x + 15

4 - 14 - 15 = 3x + 2x

-25 = 5x

x = -25/5

x = -5

Check:

4 - 2(-5+7) = 3(-5+5)

4 - 2*2 = 3(0)

4 - 4 = 0

maria [59]3 years ago

3 0

Answer:

x = -5

Step-by-step explanation:

4-2(x+7)=3(x+5)

Distribute

4 -2x-14 = 3x+15

Combine like terms

-2x-10 = 3x+15

Add 2x to each side

-2x-10+2x= 3x+15+2x

-10 = 5x+15

Subtract 15 from each side

-10-15 = 5x+15

-25 = 5x

Divide by 5

-25/5 = 5x/5

-5 =x

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Mother is m years old, and she is four times as old as her daughter. How much older is the mother than her daughter?

yuradex [85]

The mother is older than her daughter by $\frac{3}{4}m$ years

Step-by-step explanation:

Mother is m years old, and she is four times as old as her daughter.

we need to find how much older the mother is than her daughter

Put the age of mother equal 4 times the age of daughter
Find the age of daughter
Subtract the age of daughter from the age of mother to find how much older the mother than her daughter

∵ The mother's age = m

∵ Her age is four times as old as her daughter

∴ m = 4 × daughter's age

- Divide both sides by 4

∴ $\frac{1}{4}m$ = daughter's age

- Subtract the daughter's age from her mother's age

∵ The difference of their ages = m - $\frac{1}{4}m$

- Change 1 m to a fraction of denominator 4, then 1 m = $\frac{4}{4}m$

∴ The difference between their ages = $\frac{4}{4}m$ - $\frac{1}{4}m$ = $\frac{3}{4}m$

∴ The mother is older than her daughter by $\frac{3}{4}m$ years

The mother is older than her daughter by $\frac{3}{4}m$ years

Learn more:

You can learn more about the fractions in brainly.com/question/1648978

#LearnwithBrainly

5 0

3 years ago

Is the term (x+1) a factor of the polynomial shown below? <br> f(x)=x^3-10x^2+27x-12

Ksenya-84 [330]

We can tell if this is a factor of the polynomial shown by using the remainder theorem.

First, we need to set x + 1 equal to 0.

x + 1 = 0

Now, we solve for x.

x = -1

Now, we can plug this value into the polynomial, and if the solution is 0, it means there is a remainder of 0, which means they divide perfectly.

(-1)^3 - 10(-1)^2 + 27(-1) - 12 = -50

x + 1 is not a factor of the provided polynomial.

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<h3>Given</h3>

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