All categories

2 years ago

F(x) = x + 4 G(x) = x^2 + 4 Find (fog) (3)

Mathematics

1 answer:

Anika [276]2 years ago

5 0

Answer: 17

Steps:

1. Plug in (3) into “x” of the g(x) equation:
g(3) = (3)^2 + 4
g(3) = 9 +4
g(3) = 13

2. Plug in g(3) value into “x” of the f(x) equation:
f(g(3)) = x + 4
f(g(3)) = 13 + 4
f(g(3)) = 17

You might be interested in

Find the area of the shaded region

kodGreya [7K]

Answer: 21.994 cm²

Step-by-step explanation:

Area of the shaded region = Area of the bigger circle - the areas of the two smaller circles.

Formula for finding area of a circle = πr² where π is a constants . It has value of 22/7 or 3.142

Now area of the bigger circle = 3.142 x 3²

= 3.142 x 9

= 28.278 cm² Now are of the two smaller triangle = 3.142 x 1² x 2

= 6.284 cm².

Therefore are of the shaded region = 28.278 - 6.284

= 21.994 cm²

7 0

2 years ago

a storage jug was 4/5 full of water when did get indicated 72 what was the full capacity of the storage jug

IRISSAK [1]

Answer:

90. ( was the full capacity of jug)

to solve this 

firstly let the full capacity of jug 

 

be. x

so, 

4/5*x = 72

x = 72*5/4

x = 90

hope it helps

6 0

2 years ago

Draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence. A. 2 3 of = 3 5

myrzilka [38]

Answer:

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Step-by-step explanation:

Given

$\frac{2}{3}\ of\ \frac{3}{5}$

Solving (a): Multiplication sentence

$\frac{2}{3}\ of\ \frac{3}{5}$

Rewrite of as *

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{3}\ *\ \frac{3}{5}$

Solve

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Hence, the multiplication sentence is:

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Solving (b): Rectangular fraction model

In (a) above, the result is 2/5

The fraction model will be represented as thus:

Draw a rectangle
Partition in to 5 equal parts (5 represents the denominator)
Shade 2 of the 5 partitions (2 represents the numerator)

See attachment for model

5 0

2 years ago

In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. If the perimeter of MNPQ is 68 inches, t

Svetlanka [38]

Answer: NP = 9 inches

Step-by-step explanation:

In a parallelogram, the opposite sides are equal.

If the length of the longer side is MN, it means that the length of the two opposite longer sides is 2MN.

If the length of the shorter side is NP, it means that the length of the two opposite shorter sides is 2NP.

The perimeter is 2MN + 2NP

If the perimeter of MNPQ is 68 inches, it means that

2MN + 2NP = 68- - - - - - - - - - - -1

In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. It means that

MN = 2NP + 7- - - - - - - - - - -2

Substituting equation 2 into equation 1, it becomes

2(2NP + 7) + 2NP = 68

4NP + 14 + 2NP = 68

4NP + 2NP = 68 - 14

6NP = 54

NP = 54/6

NP = 9 inches

6 0

2 years ago

How much is one can of peaches if the price for three is 2.99?

BabaBlast [244]

If the price for three of them is $2.99, then you divide that by three to find the price for one can. This would equal .9966666667, which could probably be rounded to 99 cents or just a dollar per can. Hope that helps.

7 0

2 years ago