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Vedmedyk [2.9K]
3 years ago
5

If f(x)=4x-2 and g(x)=-8x+7, find h(x)=f(x) - g(x)

Mathematics
1 answer:
user100 [1]3 years ago
3 0

Answer:

h(x)=12x-9

Step-by-step explanation:

We are given the two functions:

f(x)=4x-2\text{ and } g(x)=-8x+7

And we want to find:

h(x)=f(x)-g(x)

So, by substitution:

h(x)=(4x-2)-(-8x+7)

Simplify. Distribute:

h(x)=(4x-2)+(8x-7)

Rearrange:

h(x)=(4x+8x)+(-2-7)

Combine like terms. Hence:

h(x)=12x-9

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A car travels at an average speed of 48 miles per hour. How long it take to travel 156 miles
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3 years ago
The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps. At this rate, how many times will she not fall i
Inessa05 [86]

<u>Answer:</u>

Rhonda will not fall 264 times in 360 jumps.

<u>Solution:</u>

Given, The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps.  

We have to find At this rate, how many times will she not fall in 360 jumps.

Now,  

For 15 jumps → 4 falls

For 360 jumps → n falls

Now apply Chris cross method,

15 \times n=360 \times 4 \rightarrow n=\frac{360 \times 4}{15}=24 \times 4=96

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Hence, Rhonda will not fall 264 times in 360 jumps.

8 0
3 years ago
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