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Scorpion4ik [409]
2 years ago
9

If f(x) = 21 + 3sqrt(x+12)

Mathematics
1 answer:
Rudiy272 years ago
4 0

Answer:

42

Step-by-step explanation:

g(4) = 2x^2+5

= 2(4)^2+5

= 2(16)+5

= 32+5

= 37

f(g(4)) = 21+3sqrt(x+12)

= 21+3sqrt(37+12)

= 21+3sqrt(49)

= 21+3(7)

= 21+21

= 42

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Simplify each expression
Rzqust [24]

Answer:

See below

Step-by-step explanation:

1.

-6(a + 8)

Distribute the -6.

-6a - 48

2.

4(1 + 9x)

Distribute the 4.

4 + 36x or 36x + 4

3.

6(-5n + 7)

Distribute the 6.

-30n + 42

4.

(9m + 10) * 2

Rewrite.

2(9m + 10)

Distribute the 2.

18m + 20

5.

(-4 - 3n) * -8

Rewrite.

-8(-4 - 3n)

Distribute the -8.

32 + 24n or 24n + 32

6.

8(-b - 4)

Distribute the 8.

-8b - 32

7.

(1 - 7n) * 5

Rewrite.

5(1 - 7n)

Distribute the 5.

5 - 35n or -35n + 5

8.

-6(x + 4)

Distribute the -6.

-6x - 24

9.

5(3m - 6)

Distribute the 5.

15m - 30

10.

(-6p + 7) * -4

Rewrite.

-4(-6p + 7)

Distribute the -4.

24p - 28

11.

5(b - 1)

Distribute the 5.

5b - 5

12.

(x + 9) * 5

Rewrite.

5(x + 9)

Distribute the 5.

5x + 45

5 0
2 years ago
What fraction of a pound is eighty pence
AnnZ [28]
4/5 is the the fraction of a pound is eighty pence
8 0
2 years ago
Read 2 more answers
What is 9/10-6/10 or can you not do it?
Olin [163]

Answer:

3/10

Step-by-step explanation:

9-6=3

both fractions have the same denominator so they keep it

9/10 - 6/10 = 3/10

<h3>3/10 is also 0.33</h3>
5 0
2 years ago
Luba walked 5 miles in 1 1/2 hours. How fast did she walk in miles per hour?
katovenus [111]

Answer:

5m=11,2h

60/11

660+20

680/5

136

=2,15

4 0
2 years ago
If a ball is thrown directly upward with a velocity of 50ft/s, it's height (in feet) after t seconds is given by y=50t-16t^2 wha
Tomtit [17]

Answer:

39.0625 ft

Step-by-step explanation:

Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.  

The general form for a quadratic equation is ax² + bx + c, here a is -16, and b is 50

To find the x coordinate of the vertex, use   x = -b/(2a)

We have x = -50/[2(-16)]

               

                  x = -50/-32

             

                         x= 25/16

Now plug that into the equation to find the y value, which will be the height...

y = 50(25/16) - 16(25/16)²

    y = 1250/16 - 16(625/256)

        y = 1250/16 - 625/16

              y = 625/16

                   y = 39.0625

7 0
3 years ago
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