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V125BC [204]
3 years ago
6

Are the ratios equivalent? 2/3 and 8/12 Explain.

Mathematics
2 answers:
kakasveta [241]3 years ago
6 0

Hello

Answer:

Yes

Step-by-step explanation:

When 2/3 is multiplied by 4 on both numerator and the denominator,

we get 8/12..........

Thus the ratios are equivalent...

LUCKY_DIMON [66]3 years ago
5 0

Answer:

Yes.

Step-by-step explanation:

2/3 and 8/12 are equal because of a multiplying factor. To get from 2 to 8, you'd have to multiply by 4. And to get from 3 to 12 you would have to multiply by 4 as well. So that means they are equal because both the numerator and denominator are multiplied by 4.

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Let g(x) = 2x and h(x)= x^2 -4. find (g o h)(0)
finlep [7]
The answer is -8

====================================================

Explanation:

There are two ways to get this answer

Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8

-----------------------

The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4

g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8

Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8

Regardless of which method you use, the answer is -8

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3 years ago
a landscaper uses fertilizer on 0.8 of a field the field is 3.4 acres in size how many acres have fertilizer on it?
kotegsom [21]

Answer: si

Step-by-step explanation:

siç

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3 years ago
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Can someone help me with this question please and thank you.
Alexxandr [17]

Answer:

its porpotional

Step-by-step explanation:

hope this helps

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vladimir1956 [14]
Answer is a, 57.49.

17.42-12.60-9.62= $-4.80+62.29=57.49
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3 years ago
Sara can take no more than 22 pounds of luggage on a trip.Her suitcase weighs 112 ounces.How many more pounds can she pack witho
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Answer:

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Step-by-step explanation:


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