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alina1380 [7]
3 years ago
9

Select the correct answer. If f(x) = |x| - 4, which translation is applied fo f(x) to get g(x)?

Mathematics
1 answer:
solmaris [256]3 years ago
8 0

Answer:

It is a vertical translation of f(x) four units downward.

Step-by-step explanation:

We are given the original equation f(x) = |x| and the transformed function is g(x) = |x| - 4.

It is clear that the transformed function that g(x) = f(x) - 4.

So, the y-value in g(x) is reduced by 4 units from the y-value of f(x) i.e. the transformation is by 4 units down of function f(x).

Therefore, it is a vertical translation of f(x) four units downward. (Answer)

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an airplane travels 600 miles against the wind in 5 hours, and makes the return trip with the same wind in 2 hours. find the rat
vesna_86 [32]

Answer:

The speed of wind is 75 miles / hour

Step-by-step explanation:

Let's assume

speed of airplane is x miles /hour

speed of wind is y miles /hour

An airplane travels 600 miles against the wind in 4 hours

against wind means resultant speed will be less

so, speed =x-y

total distance traveled in 4 hour is

and this has to be equal to 600

Divide both sides by 4

makes the return trip with then same wind in 2 hours

with wind means resultant speed will be more

so, speed =x+y

total distance traveled in 2 hour is

and this has to be equal to 600

Divide both sides by 2

So, we get system of equations

now, we can solve it by adding both equations

now, we can solve for x

now, we can  find y by plugging x into any one equation

4 0
1 year ago
Mike deposited $6500 into two saving accounts bearing simple interest. One of the accounts has an interest rate of 3% while the
ololo11 [35]
0.03x+0.06 (6500-x)=225
Solve for x
0.03x+390-0.06x=225
0.03x-0.06x=225-390
-0.03x=-165
X=165÷0.03
X=5500 invested at 3%

6500-5500=1000 invested at 6%
7 0
3 years ago
7 lbs of sour candies cost $7.00. What is the unit price?
grandymaker [24]

Answer:

$1 per lb

Step-by-step explanation:

If you divide the cost by the amount you are getting, then you get the unit rate. So, since 7 divided by 7.00 is 1.00, then the cost per pound is $1.00

7 0
3 years ago
Tickets to a play cost $5 at the door and $4 in advance. The theater club wants to raise at least $400 from the play. Write and
cestrela7 [59]
Your equation should be
$4(40 tickets) + $5(X) = $400
160 +5x = 400
-160            -160
   0     5x =  340
  divide both sides by 5
5x/5 = 340/5
x = 68

so they need to sell 68 tickets at the door.

4(40) + 5(68) = 400
160 + 340  + 400
400 + 400


7 0
3 years ago
Read 2 more answers
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. Wh
Alinara [238K]
There are 20 C3 possible ways to choose 3 books to read.
There are 5 C3 possible ways to choose 3 mysteries to read.
The probability that Mariah will not choose all mysteries can be expressed as 1-5C3/20C3.  (These 3 Choices Are True)

There are 1 C3 possible ways to choose 3 books that are not all mysteries.
The probability that Mariah will choose 3 mysteries can be expressed as 1/5C3.
(These 2 Choices Are False)
Hope This Helps
7 0
3 years ago
Read 2 more answers
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