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2 years ago

Are 6(p+q) and 6p + q equivalent?

1 answer:

7 0

False

6(p + q) = 6p + 6q ( distribute 6 to both p and q) (distribute to everything in the parenthesis)

6p + q = 6p + q

They are not equivalent

hope this helps

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<img src="https://tex.z-dn.net/?f=if%20%5C%3A%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%5E%7B6%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B16%7

zhenek [66]

Answer:

Step-by-step explanation:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}$

$\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}$

$3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}$

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}$

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}$

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

4 0

2 years ago

Show on a number line 2/3 's?

Alexxandr [17]

It would be In between 1/2 and 2

6 0

2 years ago

When the two equations are graphed on a coordinate plane, they intersect at two points.

Law Incorporation [45]

Answer:

(0,4) and (-2,0)

Step-by-step explanation:

y=3x²+4x+4

y = -2x +4

3x²+4x+4 = - 2x +4

3x²+6x=0

3x(x+2)=0

x=0, x= -2

x=0, y=-2x+4= -2*0 + 4 =4, (0,4)

x= - 2, y = 2x + 4= 2*(-2) +4=0, (-2,0)

3 0

2 years ago

52-10=45 Your answer:

prisoha [69]

Answer:

52 - 10 = 42

Step-by-step explanation:

5 0

2 years ago

L<br> An 8.5 quart jug contains how many cups?

pav-90 [236]

Answer:

34 cups

Step-by-step explanation:

just multiply the value in quarts by the conversion factor 4. So, 8.5 quarts times 4 is equal to 34 cups

3 0

2 years ago