MATHEMATICS HIGH SCHOOL

Which expression is a sum of cubes?A.-24a^15+125b^18
B.-64a^27+b^8
C.27x^9+y^6
D.81x^24+8y^40

Answers

Answer 1
Answer:

Answer

C. 27x⁹+y⁶


Explanation

We have to test all the expressions

A.-24a^15+125b^18   = -24a¹⁵+5³b¹⁸

                                 = -24(a⁵)³ + (5b⁶)³

-24a^15+125b^18   ⇒ Is an expression of sum of cubes.

B.-64a^27+b^8  = -4³a²⁷+b⁸

                        = (4a⁹)³ + b⁸

Not a sum of cubes since 8 is not divisible by 3.

C. 27x^9+y^6  = 3³x⁹+y⁶

                       = (3x³)³ + (y²)³

27x^9+y^6  ⇒ Is an expression of sum of cubes.

D. 81x^24+8y^40 = 81x²⁴+8y⁴⁰

                             = 81(x⁸)³ + 2³y⁴⁰

81x^24+8y^40 ⇒ Is an not expression of sum of cubes.

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Find 11/12+(-7/12). Write your answer as a fraction in simplest form

Answers

Answer: 1/3

Step-by-step explanation:

To add fractions with different denominators, we first need to find a common denominator. In this case, the common denominator is 12.

11/12 + (-7/12) = (11 - 7) / 12

Simplifying the numerator gives us:

4/12

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List the intervals on which f is increasing.

Answers

Answer:

-7<x<7

Step-by-step explanation:

Question 3! How to do it?

Answers

Hello,

x/6=tan 60°==>x/6=√3==>x=6√3

Answer B

The number of hours a group of contestants spent preparing for a quiz show are listed below. What is a frequency table that represents the data? 60 25 86 56 45 48 90 75 30 67 90 36 80 15 32 65 61C

Answers

Answer:

Step-by-step explanation:

Given in the number of hours a group of contestants spent preparing for a quiz

The list shows as follows:

60 25 86 56 45 48 90 75 30 67 90 36 80 15 32 65 61

In ascending order this becomes

x     15 25 30 32 36 45 48 56 60 61 65 67 75 80 86 90

F      1    1     1    1    1    1    1    1    1    1   1    1    1    1     1    2

Thus we have mode =90

All other entries have frequency 1 except 90
60 25 86 56 45 48 90 75 30 67 90 36 80 15 32 65 61

Hours                                      Frequency
  0 - 9                                            0
10-19  15                                      1
20-29  25                                      1
30-39  30, 36, 32                          3  
40-49  45, 48                                2
50-59  56                                      1 
60-69  60, 67, 65, 61                    4        
70-79  75                                      1
80-89  86, 80                                2
90-99  90, 90                                2

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y= -2x - 8

y-intercept =

Answers

Like I said on the other question. Slope will ALWAYS be the number beside x and y-intercept will always be after that.

Slope-intercept form = y = mx + b

Slope goes where m is and y-intercept goes where b is.

Hope this helps!

Answer:

-8

Step-by-step explanation:

Tommy and his dad rode their bikes at a speed of 12 m.h.p. For 2 hours. They rested in a park and rode at 8 m.p.h. For 2 more hours. How many miles did they travel in total?

Answers

40 miles in total that they traveled
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