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sveticcg [70]
2 years ago
12

Question in image, it asks to show your work

Mathematics
1 answer:
maxonik [38]2 years ago
8 0

<u>Answer:</u>

• f(g(x)) =  \sqrt{x^{2} + 1}  + 8

• g(f(x)) = 16\sqrt{x} + x + 65

<u>Step-by-step explanation:</u>

• f(g(x)) = f(x² + 1)

         = \sqrt{x^{2} + 1}  + 8

• g(f(x)) = g(\sqrt{x + 8} )

            = (\sqrt{x }  + 8)^{2} + 1

            =  x + 16\sqrt{x} + 64 + 1

            = 16\sqrt{x} + x + 65

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Help me pleaseeeeeee
iogann1982 [59]
You start by finding two points on the line. In this case, (-4,1) and (-2,2) will do.

To get from (-4,1) to (-2,2), you need to go “up 1, right 2” which gives you a slope of m = 1/2

Next you need the b-value, which comes from the y-intercept of (0,3). The b-value is 3.

Putting the slope and b-value into y=mx+b, you have y = 1/2 x + 3.
4 0
3 years ago
How o I get the awnser to 9s+3=57 I need help asap im in 8th grade
PIT_PIT [208]
First subtract 3 from both sides of the equal sign. 
9s + 3 = 57
      - 3     -3
9s = 54

Then divide both sides by 9.
9s = 54
/9     /9
s = 6

You can check it by plugging it back into the equation.
9s + 3 = 57
9 * 6  + 3= 57
54 + 3 = 37
57 = 57
Yep! It's correct! :)

Hope that helped. Algebra can be tricky sometimes I know but it's really just balancing equations. 
3 0
3 years ago
Help me on this<br> Because I don’t get it
Lady_Fox [76]

9514 1404 393

Answer:

  8x +36 = 15

Step-by-step explanation:

The fractions can be made to disappear by multiplying the equation by their least common denominator. That number is 18.

  18(4/9x +2) = 18(5/6)

  8x +36 = 15

__

The solution is x = -21/8.

5 0
2 years ago
Read 2 more answers
If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth.
alukav5142 [94]

Answer:  The slant height of the cone is 65.6 m

Step-by-step explanation:

Given: The diameter of a cone = 10 m

Surface area of cone = 190.6 m²

To find: Slant height

Diameter of cone = 10 m

Therefore Radius of cone = \dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m

As we know that surface area of a cone is given by

S.A. = \pi r(l+r)

Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.

Let Slant height = l

So we have

190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow  5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l=  \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6

Hence the slant height of the cone is 65.6 m

5 0
3 years ago
Solve these algebraic fractions please with explanation would be great ​
Pavlova-9 [17]

Answer:

look above

Step-by-step explanation:

hope it helps

4 0
2 years ago
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