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denpristay [2]
2 years ago
5

Find f(g(-4)) if f(x) =7/x+2 and g(x) = (x + 5)^2. Options: -5/2 , -7/2 , 37/4 , 7/3

Mathematics
1 answer:
aev [14]2 years ago
5 0

Answer:

7/3

Step-by-step explanation:

f(x) =7/(x+2)

g(x) = (x + 5)^2

f(g(-4))=

First find g(-4)

g(-4) = (-4+5)^2

        =(1)^2 =1

Then find f(1)

f(1)= 7/(1+2)

   = 7/3

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Find the volume of a cube<br> whose surface area is 150<br> ft2?
Brrunno [24]

Given:

  • Surface area of cube = 150 ft²

To Find:

  • Volume of cube

Solution:

As here in Question we are given Surface area of cube is 150 sq. feet. So, firstly we have find the side of edge of cube. Let 'a' be the edge of the cube

We know that,

\: \: \: \: \dashrightarrow \sf \: \: \: \: Surface  \: area_{(Cube)} = 6a^2  \\  \\

Substituting the required values,

\: \: \: \: \dashrightarrow \sf \: \: \: \: 150 = 6a^2  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \:   \frac{150}{6}   =  {a}^{2}  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: 25 =  {a}^{2}  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \:  \sqrt{25}  = a \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: { \underline{ \boxed{ \sf{ \pink{5 = a}}}} } \\  \\

  • Edge of the cube is 5 feet

Now,

\: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (edge)^3 \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (5)^3 \\  \\ \: \: \: \:\dashrightarrow \sf \: \: \: \: {\underline{\boxed{\sf{\pink{Volume =125 \: {ft}^{3}}}}}}  \\  \\

Hence,

  • Volume of the cube is 125 cu. feet
7 0
2 years ago
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Find all solutions of the given system of equations and check your answer graphically. HINT [See Examples 2–5.] (If there is no
Reika [66]

The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, If the given equation is x-y=0 and x+y=8.

Step-by-step explanation:

The given is,

                              x-y=0...............................(1)

                              x+y=8...............................(2)

Step:1

          Solution can be obtained by Elimination method,

          Equation (1) is multiplied by (-1)           ( Eqn (1) × -1 )

                             -x+y=0..............................(3)

          Substrate the equation (1) and equation (3),

                              -x+y=0

                                x+y=8

         ( - )

         (-x-x)+(y-y)=(0-8)

                             (-2x)=-8

                                -2x = -8

         we can cancel the minus because it is available in both sides,

                                  2x=8

                                    x = \frac{8}{2}

                                     x = 4

        From the value of x, Equation (2) becomes,

                              x+y=8

                               4+y=8

                                     y = 8-x    (Value of y in terms of x)

        Where, x = 4

                                     y = 8-4        

                                     y =4

Step:2

       Check for solution,

                             x+y=8.....................................(2)

       Substitute the values of x and y,

                             4 + 4 = 8

                                   8 = 8

Result:

         The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, where x=4. If the given equation is x-y=0 and x+y=8.

         

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valentinak56 [21]

Answer:

x = 9/8

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

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AD       ED

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Using cross products

9*x = 1(x+9)

9x = x+9

Subtract x from each side

9x-x = x+9-x

8x = 9

Divide by 8

8x/8 = 9/8

x = 9/8

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patriot [66]
What is the question?
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I really need help !!
Gnesinka [82]
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Multiply by (57 gal/mi) to solve the problem.
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