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seraphim [82]
3 years ago
6

If f(x)=(4x-3) / 2 and g(x) =(2x+3) / 4, which of the following is true?

Mathematics
1 answer:
Anettt [7]3 years ago
7 0

Answer:

f(g(x))= x

Step-by-step explanation:

f(x)=(4x-3)/2

g(x) =(2x+3)/4

f(g(x)) means use the value obtained from g(x) in the equation defined by f(x).  Since g(x) =(2x+3)/4, we can substitute (2x+3)/4 in place of the x in f(x).

If f(x)=(4x-3)/2 then use the expression (2x+3)/4 in place of "x" in (4x-3)/2

f(x)  =    (4x-3)/2

g(x) =       (2x+3)/4

f(g(x))=(4((2x+3)/4)-3)/2

f(g(x))=(((8x+12)/4)-3)/2

f(g(x))= (2x+3-3)/2

f(g(x))= 2x/2

f(g(x))= x

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ale4655 [162]

Answer:

I think it is B. 30 degrees

Step-by-step explanation:

Because if ZUY is 90 degrees and half of 90 degrees is 45 degrees but TUZ is a little bit less than the middle part of ZUY it has to be less than 45 degrees by a little bit and the only option would be 30 degrees. Hope this helped (:

8 0
3 years ago
Brian and sonya each have a container. They mark their containers to show tenths. Brian and sonya both fill their containers wit
Umnica [9.8K]

Answer:

Step-by-step explanation:

Brian could have more juice than Sonya in actual sense, This is because the representation used, that is the container has been calibrated to show tenth. This means that decimal values of juice in the container will not show explicit volume beyond tenth. Hence the volume will be rounded.

For instance, if the actual volume of juice Brian has Is 0.74 and that owned by Sonya is 0.69. In actual sense, 0.74 > 0.69 . However, if both pour their juice into the calibrated container, Brian's volume will be rounded to the nearest tenth as 0.7 and Sonya's (0.69) will also be rounded to 0.7.

But in actual sense, Brian has more Juice than Sonya.

8 0
3 years ago
Karina bought a pizza that was cut into 8 equal pieces. She ate half of one piece. What fraction of the whole pizza did she eat?
soldi70 [24.7K]
The correct answer is 1/16
6 0
4 years ago
Read 2 more answers
Factor completely 8y^3+16y^2
gregori [183]

Answer:

8y^2(y + 2)

Step-by-step explanation:

The given expression is 8y^3 + 16y^2

Let's find the greatest common factor of 8y^3 and 16y^2

The GCF is 8y^2. Let's take out the GCF outside and write the remaining terms as follows

8y^2 (y + 2)

Therefore, the factors are 8y^2 and (y + 2)

That is 8y^3 + 16y^2 = 8y^2(y + 2)

Thank you.


5 0
3 years ago
Which statement is true? A. 2x – 1 = 13 and x = 6 B. 2x – 1 = 13 and x = 7 C. 2x + 1 = 13 and x = 7 D. 2x – 1 = 13 and x = 11
alexandr1967 [171]

Answer:

B. 2x – 1 = 13 and x = 7

Step-by-step explanation:

We are given 4 equations and a solution for each. We have to tell which of the given solution satisfies the given equation.

Option A.

2x -1 = 13 and x = 6

Using this value in the equation, we get:

2(6) -1 = 13

12 - 1 = 13

11 = 13, which is not true. Hence this option is not valid

Option B.

2x - 1 = 13 and x = 7

Using the value in the equation, we get:

2(7) - 1 =13

14 - 1 =13

13 = 13, which is true. Hence this option is valid.

Option C.

2x + 1 =13 and x = 7

Using the value in the equation, we get:

2(7) + 1 = 13

15 = 13, which is not true. So this option is not valid

Option D.

2x - 1 = 13 and x = 11

Using this value in the equation, we get:

2(11) - 1 = 13

21 = 13, which is not true. Hence this option is not valid.

6 0
3 years ago
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