MATHEMATICS MIDDLE SCHOOL

Let f(x) =x squared +3x-4 and g(x) =x+5. Find f(x) times g(x).

Answers

Answer 1
Answer:

Answer:

x^3 + 8x^2 + 11x - 30

Step-by-step explanation:

f(x) times g(x) = (x^2 +3x-4)(x+5)

= x^3 + 5x^2 + 3x^2 + 15x - 4x - 20

= x^3 + 8x^2 + 11x - 30

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9/2 as a mixed number

Answers

In order to make (9)/(2) a mixed number you have to do division. (9)/(2)=4 (1)/(2). Check:4 (1)/(2)= (4*2+1)/(2)= (9)/(2). Therefore, (9)/(2) as a mixed number is \boxed{4 (1)/(2)}. Hoped I helped. :)
To find a mixed number, you can see that 2/2 can stand for one. So you find out, how many 2/2s are in 9/2. The answer is 4 but then you still have 1/2 left. So you end up with 4.5 or 4 1/2

If a sprinkler waters 1/8 of lawn in 1/4 hour, how much tome will it take to water the entire lawn?

Answers

Answer:

1/8 of the lawn in 1/4 of an hour. That mean you would need a whole hour to do 4/8 or 1/2 of the lawn. So you would need two hours to do the whole lawn.

Step-by-step explanation:

Answer:

2 hours or you can say 120 minutes

Step-by-step explanation:

1/4 of an hour equals 15 minutes

1/8 = 15 minutes

4/8 = 1 hour = 60 minutes

8/8 = 2 hours = 120 minutes

hope i helped

forty percent of 25 students in the class are boys. write 40% as a reduced fraction. then find the ratio of girls to boys in the class.

Answers

25/10x4=10 boys

100%-40%=60%

25/10x6= 15

boys:girls
10:15
40\%\cdot25=\n\n0.4\cdot25=10-number\ of\ boys\n\n25-10=15-number\ of\ girls\n\n15:10\ \ -->3:2\ -ratio

Mercury orbits the Sun in 87 24/25 earth days. Venus orbits the Sun in 224 7/10 earth days and Mars orbits the sun in 686 49/50 earth days. Express each mixed number as decimal.

Answers

87 24/25.......24/25 = 0.96......answer is 87.96

224 7/10....7/10 = 0.7....answer is 224.7

686 49/50...49/50 = 0.98...answer is 686.98

(0,1),(1,3),(2,5),(3,7) function rule

Answers

\bf \begin{array}{ccll}x&y\n\cline{1-2}0&1\n[0.8em]1&\stackrel{2(1)+1}{3}\n[0.8em]2&\stackrel{2(2)+1}{5}\n[0.8em]3&\stackrel{2(3)+1}{7}\n[0.8em]x&2x+1\end{array}~\hspace{8em}y=2x+1

The ratio of the heights of two similar solids is 6:11. Find the ratio of their surface areas.

Answers

Answer:

The ratio of surface areas is 36:121.

Step-by-step explanation:

We have, the ratio of the heights of two similar solids is 6:11. It is required to find the ratio of their surface areas. As the two solids are similar, it means that the ratio of surface areas of solids is directly proportional to the square of their heights such that,

(S_1)/(S_2)=((h_1)/(h_2))^2\n\n(S_1)/(S_2)=((6)/(11))^2\n\n(S_1)/(S_2)=(36)/(121)

So, the ratio of surface areas is 36:121.
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