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3 years ago

12

Which two expressions are equivalent for any value of y?

1 answer:

Harman [31]3 years ago

3 0

The correct answer is letter d.

The reason is because of what each of these statements represent in math.

A number directly outside of a. parentheses means that we have that many groups of everything inside of the parentheses.

9(y + 3) means we have 9 groups of y and 9 groups of 3. This is the same as saying 9y + 27 or 27 + 9y.

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Please help me!!! 30 minutes left

Lesechka [4]

Option D:

$\frac{25 a^{9} b^{10} }{6 }$ is equivalent to the given expression.

Solution:

Given expression:

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}$

To find which expression is equivalent to the given expression.

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}$

Using exponent rule: $(ab)^m=a^mb^m$

$$=\frac{5^3 a^3 b^{3}}{30 a^{-6} b^{-7}}$

Using exponent rule: $\frac{1}{a^{m}}=a^{-m}, \quad \frac{1}{a^{-m}}=a^{m}$

$$=\frac{125 a^3 b^{3}a^{6} b^{7}}{30 }$

$$=\frac{125 a^3 a^{6} b^{3} b^{7}}{30 }$

Using exponent rule: $a^{m} \cdot a^{n}=a^{m+n}$

$$=\frac{125 a^{3+6} b^{3+7} }{30 }$

$$=\frac{125 a^{9} b^{10} }{30 }$

Divide both numerator and denominator by the common factor 5.

$$=\frac{25 a^{9} b^{10} }{6 }$

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}=\frac{25 a^{9} b^{10} }{6 }$

Therefore, $\frac{25 a^{9} b^{10} }{6 }$ is equivalent to the given expression.

Hence Option D is the correct answer.

4 0

3 years ago

Please help answer question 1

lara [203]

Answer:

One Solution ; x=4.5

y=-1.5

Step-by-step explanation:

Line A: 2x+2y=8

÷<u>2</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>

x+y=4

Line B: x+y=3 -----> y=x-3

x+(x-3)=4

2x-3=4

2x=7

x=4.5

y=-1.5

6 0

4 years ago

g(x)=−20−3x h(x)=( 2 1 ) x Evaluate. (g\circ h) (-2)=(g∘h)(−2)=left parenthesis, g, circle, h, right parenthesis, left par

malfutka [58]

Answer:

ion

Step-by-step explanation:

6 0

3 years ago

HEPL MEEEE<br><br> 1. 1/2(x+1)-1/3(x-1)<br><br> 2. x-2/3(x-1)

nikdorinn [45]

Answer:

1. 1/6x + 5/6

2. 1/3x + 2/3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Question 14. Select the correct answer. If f(x)=x^2/x+3, find f(x+h)

vekshin1

Answer:

$f(x+h)=\frac{x^2+2h+h^2}{x+h+3}$

Step-by-step explanation:

we have

$f(x)=\frac{x^2}{x+3}$

To find out f(x+h), substitute the variable x by the variable (x+h) in the function f(x)

so

$f(x+h)=\frac{(x+h)^2}{(x+h)+3}$

$f(x+h)=\frac{x^2+2h+h^2}{x+h+3}$

6 0

4 years ago