Which statement holds true for absolute value functions?A) The absolute value determines the direction in which the graph opens.
B) The coefficient determines the line along which the graph is symmetrical.
C) The distance between the left and the right arm is based on the coordinates of the vertex.
D) The vertex coordinates and the absolute value determine the region of the graph on the plane.

Answers

Answer 1

Answer: The answer is C. ) The distance between the left and the right arm is based on the coordinates of the vertex.

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Ronnie wants to buy a computer table that measures 10 feet by 17 feet. The of the table is $16 per square feet. How much will it cost Ronnie to buy the computer table for his study room?

Which one of the following decimals is the largest? .345, .33, .332, .35

Answers

They all start with .3
so we need to look at the next decimal place that has a bigger number
These are all put in order from least 2 greatest.
.33
.332
.345
.35
SOOOO this means that our greatest decimal is .35

Its going to be .35 bc if you round .345 & .332 its really like 34, 33

A regular pentagon has a perimeter of 60 feet. How long is each side?5 feet
6 feet
10 feet
12 feet

Answers

Since all sides are equal in a pentagon, and there are 5 sides; 60/5 is equal is 12 so each side is 12 feet.

the answer is D 12 feet

If f(1)=3 and f(n)=-2f(n-1)+1,then f(5)=

Answers

The value f(5) when f)1) = 3 is f(5) = 43.

How to find the 5th term of the sequence?

The fifth term of the sequence can be found by finding the value of all the terms that precede it.

We can find the value of f(5) as shown below:

The value of f(1) is given as:

f(1) = 3

With this, we can find the value of f(2) and with f(2), we can find the value of f(3), and so on.

f(n) = - 2f(n-1)+1

At n = 2:

f(2) = -2f(2-1)+1

= - 2f(1)+1

= - 2*3 + 1

= - 5

When n = 3:

f(3) = -2*-5 + 1

= 11

When n = 4:

f(4) = -2*11 + 1

= -21

When n = 5:

f(5) = -2*-21 + 1

= 43

Therefore, we have found the value of f(5) to be f(5) = 43.

Learn more about sequences here: brainly.com/question/6561461

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f(5) = - 2f(4) + 1
f(4) = -2f(3) + 1
f(3) = -2f(2) + 1
f(2) = -2f(1) + 1
Therefore:
f(2) = -2(3) + 1 = -5
f(3) = -2(-5) + 1 = 11
f(4) = -2(11) + 1 = -21
Therefore f(5) = -2(-21) + 1 = 43

At the beginning of this month, the balance of Agatha's checking account was $782.39. So far this month, she has received a paycheck via direct deposit of $932.48, been charged a monthly service fee from her bank of $20.00, used a debit card linked to her account to make a purchase of $36.82, written a check for $155.03 that has already been deposited, and deposited a check written to her for $79.13. What is the current balance of Agatha's checking account?

Answers

Agatha started out the month with $782.39 cents. After she received her paycheck, she had a balance of $1,714.87. Agatha then had a service fee and few purchases which left the total at $1503.02. She then had an additional check written to her for $79.13. The current balance after her last deposited check was $1,582.15.

Answer: $1582.15

Step-by-step explanation:

How to find an equation of line parallel to a line?

Answers

If two lines are parallel, then they have the same slope. Take the slope
of the line that you know, and use it for the new line. If you also need to
find the intercept of the new line, then you need some more information ...
the intercept is not the same as the line that you know.

Final answer:

To find the equation of a line parallel to a given line, identify the slope of the given line and choose any point on that line, then use the point-slope formula to find the equation of the parallel line.

Explanation:

To find the equation of a line parallel to a given line, follow these steps:

Identify the slope of the given line. Let's call it 'm'.
Select any point on the given line. Let's call the coordinates of this point (x₁, y₁).
Use the point-slope formula, y - y₁ = m(x - x₁), where (x, y) represents any point on the parallel line.
Simplify the equation to get the final equation of the line parallel to the given line.

Let me know if you need further assistance!

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One container holds 1 1/7 quarts of water and second container holds 5 3/4 quarts of water how many more harts of water does the second container hold then the first

Answers

Answer:

129/28 (4.6 approx.)

Step-by-step explanation:

The first hols 1 1/7 quarts, it is: 1 + 1/7

Using 7 as common denominator and summing:

1 + 1/7 = 7/7 + 1/7 = 8/7

The second holds 5 3/4 which is: 5 + 3/4. Using 4 as common denominator:

5 + 3/4 = 20/4 + 3/4 = 23/4

Now we need to know how much greater is 23/4 than 8/7. For comparing them we need to set them to a common denominator. The easiest way is use a number that is multiple of both, 4 and 7, lets us 28. We need to multiply the numerators by the number that, multiplied by denominators gives us 28. For the first is 4, and for the second 7.

8/7 = (8*4)/7*4=32/28

23/4= (23*7)/4*7 = 161/28

Now, we only have to subtract:

23/4 - 8/7 = 161/28 - 32/28 = 129/28

So, the second container has 129/28 more quarts of water (approx. 4.60) than the first.

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