If x3 = 8 and y3 = 125, what
is the value of y - x?

Answers

Answer 1
Answer:

Answer:

X to power 3is=2 while y to power 3is=5so5-2=3

Step-by-step explanation:

x cubed is =8 so cube root of 8is 2

y cubed is =125so cube root of 125is 5

therefore 5-2=3


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Factor completely 2x2 − 32.Prime
2(x2 − 16)
2(x + 4)(x + 4)
2(x + 4)(x − 4)

Answers

Answer:

2(x + 4)(x − 4)

Step-by-step explanation:

2x^2 − 32

Factor out 2.

2( x^2 -16)

The term inside the parentheses is the difference of squares.

(a^2 - b^2) = (a-b)(a+b)

2 ( x-4)(x+4)

Helen earns $7.50 an hour at her job, but if she works more than 35 hours in a week, she is paid 1 1/2 times her regular salary for the overtime hours worked. One week her gross pay was $307.50. How many overtime hours did she work that week?

Answers

7.50 * 35 = 262.50

307.50 - 262.50 = $45.00

7.50 * 1.5 = $11.25

45 / 11.25 = 4 OT hours

What is 1.2 equivalent to

Answers

Answer:  6/5

Step-by-step explanation:

the decimal " 1.2 " is equivalent to the fraction " 6/5 "

Is 1.3 greater than negative 5

Answers

1.3 would be considered greater than negative 5. Although 1.3 is a decimal it is still a positive number and positives are worth more than negatives regardless

Yes it is jndnscjoixglcogkg oyvyvh


17
Σ (15 – 9n)
η = 4

Answers

Answer:

  -1113

Step-by-step explanation:

You apparently want the sum of the 14-term arithmetic sequence ...

  -21, -30, -39, ..., -138

The average term is ...

  (-21 -138)/2 = -79.5

so the sum of the 14 terms is ...

  (14)(-79.5) = -1113

                                17

                                  Σ (15 – 9n)  = -1113

                                 η = 4

  • nth term

                         aₙ = 15 - 9n

        a₄ = 15-9*4 = 15-36= -21

       a₁₇ = 15 - 9(17) = -138

  • Sum;

                      S = (a₁ + aₙ)*n/2

         n = 14

         a₁ = a₄= -21

         aₙ = a₁₇ = -138

                   S = (-21 - 138)*14/2

                   S = -1113

B) The perimeter of the rectangle below is 42cm. Calculate thelengths of the sides by forming an equation and solving it.

x-2
x + 5​

Answers

Answer:

L = 14  W = 7

Step-by-step explanation:

2L + 2W = P

2 (x - 2) + 2(x + 5) = 42

2x - 4 + 2x + 10 = 42

4x + 6 = 42

    -6.      -6

4x = 36

x = 9

9 - 2 = 7

9 + 5 = 14