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vodka [1.7K]
3 years ago
7

The property that justifies the sentence 6a2 + 2a = 2a(3a + 1) is

Mathematics
1 answer:
k0ka [10]3 years ago
7 0

Answer:

The distributive property states that multiply the term outside of the parenthesis by each term in that parenthesis. i.e,

a \cdot (b+c) = a\cdot b+ a\cdot c

As per the given statement:

6a^2+2a = 2a(3a+1)

Take RHS:

2a(3a+1)

Apply the distributive property; we have;

6a^2+2a = LHS

Therefore, the property that justifies the sentence 6a^2+2a = 2a(3a+1) is Distributive property

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What is (f + g)(x)? <br><br> f(x)=x^3−x<br><br> g(x)=x^3+2x^2−10
Leya [2.2K]
(f+g)(x)=f(x)+g(x) = x³-x +x³ +2x²-10=2x³ + 2x²-x-10
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4 0
3 years ago
Rosanne is training for the Austin marathon, so she plans to run 10 miles in her neighborhood this weekend. It usually takes her
PolarNik [594]

Answer:2.5 cups

Step-by-step explanation:

Given

Rosanne runs 6 miles in an hour

If she drinks 0.5 cups of water every  \frac{1}{3}  of an hour

So in 1 hour Rosanne drinks 1.5 cups

So, for 6 miles Rosanne drinks 1.5 cups

i.e. For   1\ mile \quad \equiv \quad \frac{1}{4}\ \text{cup}

for    10\ mile\quad \equiv \quad \frac{10}{4}\ \text{cup}

=2.5\ \text{cup}

6 0
3 years ago
A family paid $26.400 as a down payment for a home. If this represents 16% of the price of the home, find the price of the home.
Vlada [557]
The correct answer is:

How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Convert the problem to an equation using the percentage formula: Y/P% = X
Y is 26,400, P% is 16%, so the equation is 26,400/16% = X
Convert the percentage to a decimal by dividing by 100.
Converting 16% to a decimal: 16/100 = 0.16
Substitute 0.16 for 16% in the equation: 26,400/0.16 = X
Do the math: 26,400/0.16 = X
X = 165,000
So $ 165,000 is the price of the home.

I hope this helps you!!
7 0
3 years ago
Which of the following expressions are equivalent to -8-(-1)-5
Mrac [35]

-8-(-1)-5

-8+1-5

-7-5

-13

3 0
3 years ago
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