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4 years ago

Factor z2 + 17z + 72.

1 answer:

3 0

Hello!

It looks like you meant,
$z^2+17z+72$
Break the expression into two groups, that would imply splitting the 17.
$=\left(z^2+8z\right)+\left(9z+72\right)$
Let's start factoring.
First, factor the $z$ from $z^2+8z$
Then, factor the $9$ from $9z+72$
We would be left with,
$=z\left(z+8\right)+9\left(z+8\right)$
Factor out the common term, which is $(z+8)$
$=\left(z+8\right)\left(z+9\right)$

Our final answer would be,
$=\left(z+8\right)\left(z+9\right)$

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

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Work in the five days?

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Answer:

9.3

Step-by-step explanation:

last week she worked 45.6 hours. since 40 hours is the limit for normal working hours, she worked 45.6-40 = 5.6 hours overtime.

this week she worked 9.7+8.3+8+9.1+8.6 hours = 43.7 hours.

she worked therefore 43.7-40 = 3.7 hours overtime.

so, in total of the two weeks, she worked 5.6+3.7 = 9.3 hours overtime.

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3 years ago

how can you use the metric prefixes milli, centi, and kilo to help you decide if a metric conversion is reasonable

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I remember it as a meter in the middle a 100 cents in a dollar and a millimeter is just one one-thousandth of a meter. A kilo is 100 times a meter.

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3 years ago

Marigold Industries collected $104,000 from customers in 2019. Of the amount collected, $24,400 was for services performed in 20

m_a_m_a [10]

Answer:

$\text{Net accrual income}=\$31,600$

Step-by-step explanation:

We have been given that Marigold Industries collected $104,000 from customers in 2019. Of the amount collected, $24,400 was for services performed in 2018. In addition, Marigold performed services worth $39,000 in 2019, which will not be collected until 2020.

Let us find revenue earned in 2019 by subtracting revenue earned from 2018 and adding revenue earned in 2019 to total revenue as:

$\text{Revenue in 2019}=\$104,000-\$24,400+\$39,000$

$\text{Revenue in 2019}=\$118,600$

Marigold Industries also paid $73,900 for expenses in 2019. Of the amount paid, $29,100 was for expenses incurred on account in 2018. In addition, Marigold incurred $42,200 of expenses in 2019, which will not be paid until 2020.

Now, we will find expenses in 2019 by subtracting expenses in 2018 and adding expenses in 2019 to total expenses as:

$\text{Expenses in 2019}=\$73,900-\$29,100+\$42,200$

$\text{Expenses in 2019}=\$87,000$

To find accrual net-income, we will subtract$87,000 from $118,600 as:

$\text{Net accrual income}=\$118,600-\$87,000$

$\text{Net accrual income}=\$31,600$

Therefore, the net accrual income for 2019 would be $31,600.

5 0

3 years ago

The daily cost of producing x high performance wheels for racing is given by the following function, where no more than 100 whe

WINSTONCH [101]

So all you need to do if find the min of the function:

f(x)=0.04x^3-4x^2-176x
f'(x)=0.12x^2-8x-176
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3 years ago

A town has a population of 50,000. it’s rate increase is 8% every 6 months. find the population after 4 years

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3 years ago