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Sidana [21]
2 years ago
14

What is the quotient (3x4 + 4x – 15) + (x + 3)?

Mathematics
1 answer:
Hoochie [10]2 years ago
5 0

Answer:

3x-5 and r=0

Step-by-step explanation:

We can do it by long division method  the required quotient is 3x-5 and r=0

not 3x-1 , r=1

multiply the divisor with 3x  we will get to cancel out the first term of dividend

Now after solving we will get  

Now, multiply the divisor by -5 we will get -5x-15 which will cancel the entire dividend.

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Gravity pulls the metal down at 10 N, but the metal pieces RISES! At least how much force is needed to make it move upward?
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Answer: Greater than 10 N

Step-by-step explanation:

Given

Gravity force on metal is 10 N

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\Rightarrow F>10\ N

Any force greater than 10 N is sufficient for the metal to move upwards

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The average American spent $8,508 on health care in 2011. The cost of health care is projected to rise about 5.8% per year for t
klio [65]
<h3>The projected amount the average American spent on health care in 2014  is $ 10075.91</h3>

<em><u>Solution:</u></em>

Given that,

The average American spent $8,508 on health care in 2011

The cost of health care is projected to rise about 5.8% per year for the years 2012-2022

<em><u>The increasing function is given as:</u></em>

y = a(1+r)^t

Where,

y is future value

a is initial value

r is growth rate in decimal

t is number of years

From given,

a = 8508

r = 5.8 \% = \frac{5.8}{100} = 0.058

t = 2011 to 2014 = 3 years

<em><u>Substituting the values, we get,</u></em>

y = 8508(1 + 0.058)^3\\\\y = 8508(1.058)^3\\\\y = 8508 \times 1.1842\\\\y = 10075.914 \approx 10075.91

Thus the projected amount the average American spent on health care in 2014  is $ 10075.91

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