2 years ago

Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.

Mathematics

1 answer:

ICE Princess25 [194]2 years ago

5 0

Answer:

Step-by-step explanation:

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The profit of a company receives is given by the expression 0.15(855p - 315) where p is the number of problems sold. Rewrite thi

Goryan [66]

The profit for 25 products sold and 150 products sold are 3159 and 19190.25 respectively.

Explanation

The profit of a company receives is given by the expression: $0.15(855p - 315)$

Simplifying this expression using distributive property, we will get .....

$0.15(855p - 315) \\ \\ = (0.15*855p)-(0.15*315)\\ \\ =128.25p-47.25$

So, the simplified expression for profit will be: $128.25p-47.25$

As $p$ represents the number of products sold, so for finding the profit for 25 products sold and 150 products sold, we need plug $p=25$ and $p=150$ separately into the above expression.

For $p=25$ , Profit $=128.25(25)-47.25 = 3206.25-47.25= 3159$

For $p=150$ , Profit $=128.25(150)-47.25 = 19237.50-47.25= 19190.25$

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3 years ago

Please help! asap! i have no idea what it is and it’s worth a lot of points on my test!

beks73 [17]

I haven’t done math in forever, do you want us to simplify it? Bc it would be 2x+8=-16=4x+6 but I’m not sure

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3 years ago

Decide which measurement is greater. Place the correct symbol ( <, >, =) on the line between the measurements.

laila [671]

Answer:

5>18 and 25

1 and 4>32

3<8

13<4

4<9

i hope this helped :)

Step-by-step explanation:

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2 years ago

Angle D and Angle F are supplementary. The measure of Angle D is (3x + 5), and the measure of angle F is (2x). What is the measu

olga55 [171]

Step-by-step explanation:

Two angles are called suplementary when their measures add to 180 degrees.

D+F= 180

3x+5+2x= 180

5x+5=180

5x= 175

x= 35°

angle D = 3x+5= 3(35)+5= 110°

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3 years ago

Write an algebraic expression from the following

gavmur [86]

A: (x^2) + 2x

B: (3x)/(4+x)

C: (5-x) × 3x

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3 years ago