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3 years ago

What are the domain and range of the parent function of an absolute value equation?

2 answers:

8 0

The parent function is giveb by the equation that is
f(x)=|x|
 the domain and range of the parent function of an absolute value equation will be
 domain: all real numbers, range: all real numbers greater than or equal to zero
so correct option is B
hope it helps

Montano1993 [528]3 years ago

7 0

Answer:

The domain is all real numbers. The range is all real numbers greater than zero.

Step-by-step explanation:

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2 liters of soda, 1 pint of sherbert , and 3 cups of ice

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2 years ago

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Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the fo

lakkis [162]

Answer:

c) A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

Step-by-step explanation:

Hi, well, let´s transform all this nominal rates into effective annual rates.

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

$r(E.week)=\frac{0.09265}{52} =0.00178173$

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

$r(e.a)=(1+r(e.week))^{52} -1$

$r(e.a)=(1+0.00178173)^{52} -1=0.09699$

Or 9.669% annual, which is less than 9.955%, so this one is sellected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

$r(E.month)=\frac{0.09442}{12} =0.00786833$

Or 0.786833% effective monthly, let´s turn it into a effective annual rate.

$r(e.a)=(1+r(e.month))^{12} -1$

$r(e.a)=(1+0.00786833)^{12} -1=0.09862$

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

$r(E.quarter)=\frac{0.09719}{4}=0.0242975$

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

$r(e.a)=(1+0.0242975)^{12} -1=0.10079$

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Best of Luck.

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2 years ago

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Square and cube challenge

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Answer:

8 cm.

Step-by-step explanation:

To make a cube, it is length times width times height. And cubes have side lengths equal all the way around. Therefore all you have to do to get a side length is take the cubic root of 512 which is 8. AKA 8 times 8 times 8 equals 512.

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3 years ago

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