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3 years ago

If you apply the changes below to the absolute value parent function f(x)=lxl, what is the equation of the new function?

Mathematics

2 answers:

Snowcat [4.5K]3 years ago

7 0

Answer:

$f(x)=|x+4|+2$

Step-by-step explanation:

The given absolute value function is

$f(x)=|x|$

This is the base or the parent function.

The transformation $f(x)=|x+b|+c$ will shift the parent function b units to the left and c units up.

From the question, b=4 units and c=2 units.

The new equation is $f(x)=|x+4|+2$

Flauer [41]3 years ago

6 0

Answer: The equation of the new function is $f(x)=|x+4|+2.$

Step-by-step explanation: We are given to find the equation of the new function if we apply the following changes to the absolute value parent function f(x)=lxl :

Shift 4 units left and Shift 2 units up.

We know that

if we shift the absolute value parent function f(x) = |x| to h units left and k units up, then the new equation will be

$f(x)=|x+h|+k.$

Therefore, if the function is shifted 4 units left and 2 units up, then the equation of the new function will be

$f(x)=|x+4|+2.$

Thus, the equation of the new function is $f(x)=|x+4|+2.$

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It takes 99 apples to make 9 pies. How many apples would it take to 4 pies? (Hint simplify your ratio first)

kolbaska11 [484]

Answer:

it would take 36 apples to make 4 pies.

Step-by-step explanation:

9 x 4 = 36

4+4+4+4+4+4+4+4+4= 36

4 0

3 years ago

A square rug has an area 99 ft2. Write the side length as a square root. Then decide if the side length is a rational number.

STALIN [3.7K]

Hey there! I'm happy to help!

All of the sides of a square are the same. Therefore, to find the area, you multiply the side by itself. Multiplying a number by itself is conveniently called squaring.

Doing this backwards is called finding the square root. If you have an area of 64, you square root it, showing you that the sides are 8.

This means the side length of our square rug is √99.

A rational number is one that can be written as a fraction of two integers. If you put √99 into your calculator, you get 9.949874371....

This is not a rational number because it goes on forever in no particular order, so we cannot write it as a fraction of two integers. The closest number we could use to have a rational square root would be 100, as its square root is 10.

Have a wonderful day! :D

7 0

3 years ago

10 hours decreased by 6 hours

brilliants [131]

Four Hours would be the answer to this question

7 0

2 years ago

Please help me solve for x

Elena-2011 [213]

Answer:

$x=49^o$

Step-by-step explanation:

We know that we are dealing with parallel lines, as there are double headed arrows on each of the lines, pointing in the same direction.

This means we can use corresponding / alternate angle laws.

We know that the angles on a straight line add up to $180^0$ , so we can solve for the angle just above the $131^o$ to try and see if that will help us.

$131 + \theta = 180$ (Our angle, added to another angle we don't know yet is 180)

Solve for $\theta$

$\theta = 49$

We can now apply the corresponding angle law, (as we have an 'F' shape), to determine that:

$x=\theta = 49$

6 0

3 years ago

Read 2 more answers

Find the savings plan balance after 12 12 months with an apr of 8 8% and monthly payments of $ 100 100.

ella [17]

Assume first payment is at the end of the first month.

APR=8% per annum = 0.08/12 per month
n=12 months
Monthly payment, A = $100

Future value
$F=\frac{A((1+i)^n-1)}{i}$
$=\frac{100((1+0.066/12)^12-1)}{0.066/12}$
$=6.803356/0.0055$
$=1236.97$

6 0

2 years ago