MATHEMATICS MIDDLE SCHOOL

Let f(x)=3x+5 and g(x)=x^2. Find (f+g)(x)

A) x^2+3x+5

B) 3x^3+5x^2

C) 3x^2+5

D) x^3+5

Answers

Answer 1
Answer: f(x)= 3x+5 and g(x)= x²

find (f+g)(x)

substitute g(x) into f(x)

3(x²)+5

the answer is C
Answer 2
Answer:
3 {x}^(3) + 5 {x}^(2)

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Michael just drank a cup of coffee to help him stay awake. The coffee had 110 milligrams of caffeine in it. If his body processes 5% of the caffeine every hour, how much will be left in 8 hours? A.74 B.72 C.56 D.73

Answers

Answer:C

Step-by-step explanation:
Answer C.56!

%5 of 110 is 5.5, 5.5 • 8= 54, 110-54= 56!

Olivia is 4 feet 10 inches tall. She compared her height with her younger sister, Susan, and found that Susan is 15 inches shorter than she is.What is Olivia's height, in inches?

______________

What is Susan's height, in centimeters?

1 inch=2.54 centimeters

Answers

A foot (or feet) is 12 inches.This means Olivia is four lots of 12 inches tall plus another 10 inches.Four lots of 12 is 48(4x12=48).48+10=58.
However Susan is 15 inches shorter than Olivia so Susan is basically Olivia's height minus 15 inches. Olivia's height, as we know, is 58 inches.
58 inches minus 15 is 43, therefore Susan is 43 inches tall. This means Susan's height equals 43 lots of 1 inch. Because 1 inch equals 2.54 centimeters, Susan's height equals 43 lots of 2.54 centimeters. To work this out without a calculator you could get rid of the decimal place and do 43x254=10922. Then, because the number that had the decimal point in had 2 digits after it(2 numbers) you add the decimal place back in 2 places from the right of your answer. In this case, it gives you 109.22. Therefore:
~Olivia's height: 58 inches
~Susan's height: 109.22 centimeters

I hope that helps you and I understand that it's a really long answer but I wasn't sure which bit you couldn't understand. :)

What is the slope of the line that passes through the points (14, 5) and (20, –4)? A. -3/2 B. -2/3 C. 2/3 D. 3/2

Answers

The slope of the line that passes through the points (14/5) and (20, -4), so you take y-y/x-x so you substitute the y's in for 5 and -4 and x in for 14 and 20.

5--4/ 14-20
9/-6
Then you make the fraction smaller! 
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Answers

Answer:

D

Step-by-step explanation:

When you add all the the angles of a triangle, they  will end up to be exactly 180 degree. When you add the three numbers A, B, and C end up with 180 degree, but D end up with 130 degree, therefore, D is the triangle that cannot exist.

Hope it helps :D
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