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3 years ago

11

For every 2 dogs at the vet there are 3 cats if there 6 dogs at the vet how many cats are there?

1 answer:

Taya2010 [7]3 years ago

8 0

The answer is 9 cats because it is a 2/3 ratio. When there are 6 dogs, it should be 9 cat, and 6/9 is equivalent to 2/3

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Jane says that she can use addition to show that the graphs of 2x - 3y = 1 and 2x + 3y = 2 are intersecting lines. In two or mor

iogann1982 [59]

For this case we have the following equations:
2x - 3y = 1
2x + 3y = 2
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2 years ago

Which expressions are equivalent to the one below? Check all that apply. <br><br> 9^x

AveGali [126]

Answer:

A) $3^{x}*3^{x}$

B) $3^{2x}$

C) $(3 * 3)^{x}$

Step-by-step explanation:

Given the exponential expression, $9^{x}$ :

A) $3^{x}*3^{x}$ is equivalent to $9^{x}$ due to the Product Rule of exponents: $a^{m} a^{n} = a^{m + n}$ .

$3^{x}*3^{x} = 3^{x+x} = 3^{2x}$

Next, apply the Power-to-Power Rule of exponents: $a^{mn} = (a^{m} )^{n}$ .

$3^{x}*3^{x} = 3^{x+x} = 3^{2x} = (3^{2})^{x} = 9^{x}$

B) $3^{2x}$ is equivalent to $9^{x}$ due to the Power-to-Power Rule of exponents: $a^{mn} = (a^{m} )^{n}$ .

$3^{2x} = (3^{2})^{x} = (9)^{x} = 9^{x}$ .

C) $(3 * 3)^{x}$ is equivalent to $9^{x}$ due to the Product-to-Power Rule of exponents: $(ab)^{m} = a^{m} b^{m}$ .

$(3 * 3)^{x} = (9)^{x} = 9^{x}$

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