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2 years ago

In the past you paid $800 per month to rent your apartment. You now pay

Mathematics

1 answer:

Andreyy892 years ago

8 0

800 - 900 = -100. = 100/800=.125 x 100 = 12.5% increase.

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Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16

s344n2d4d5 [400]

Answer:

$k=3$

Step-by-step explanation:

Let

$f(x)=2x^3+18x^2-18x-162$

We factor 2 to obtain;

$f(x)=2(x^3+9x^2-9x-81)$

We factor the polynomial within the parenthesis by grouping.

$f(x)=2(x^2(x+9)-9(x+9)$

$f(x)=2(x^2-9)(x+9)$

$f(x)=2(x^2-3^2)(x+9)$

We apply difference of two squares on the second factor: $x^2-3^2=(x-3)(x+3)$

$f(x)=2(x+3)(x-3)(x+9)$

We now compare to;

$f(x)=2(x+k)(x-k)(x+9)$

It is now obvious that $k=3$

6 0

3 years ago

A light bulb consumes 3120 watt-hours in 3 days and 6 hours. How many watt-hours does it consume per day?

matrenka [14]

2850*24/(4*24+18)

The light bulb consumes 600 watt-hours per day.

6 0

2 years ago

Is 16 divided by 3 a repeating decimal

Nady [450]

Answer:

Yes

Step-by-step explanation:

16 ÷ 3 = 5.333333...

3 0

3 years ago

Read 2 more answers

What are the first three terms of the sequence modeled by the recursive function an=1/2an-1 when a1=1?

loris [4]

Answer:

Option A is correct that is $1,\frac{1}{2},\frac{1}{4}$

Step-by-step explanation:

We have been given a formula $a_n=\frac{1}{2}\cdot a_n-1$

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We will put values of n in $a_n=\frac{1}{2}\cdot a_n-1$

when n=2 we get

$a_2=\frac{1}{2}\cdot a_2-1$

$\Rightarrow a_2=\frac{1}{2}\cdot a_1$

$\Rightarrow a_2=\frac{1}{2}\cdot 1$

$\Rightarrow a_2=\frac{1}{2}$

when n=3

$a_3=\frac{1}{2}\cdot a_2$

$\Rightarrow a_3=\frac{1}{2}\cdot \frac{1}{2}$

$\Rightarrow a_3=\frac{1}{4}$

Therefore, Option A is correct that is $1,\frac{1}{2},\frac{1}{4}$

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2 years ago

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Tanzania [10]

Answer:

B and C

Step-by-step explanation:

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3 years ago