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Minchanka [31]
2 years ago
15

A system of equations is given below. For what value(s) of x is f(x)=g(x) ?

Mathematics
1 answer:
NARA [144]2 years ago
3 0

\large{f(x) = g(x)}   \\  \large{ {x}^{2}  + 3x = x + 3}

Since we are solving the quadratic equation because the highest degree in the equation is second. We arrange in the form of ax²+bx+c = 0.

\large{  {x}^{2}  + 3x - x - 3 = 0}

Combine like terms.

\large{ {x}^{2}  + 2x - 3 = 0}

Solve the equation by factoring.

\large{(x  + 3)(x - 1) = 0} \\  \large{x =  - 3,1}

Hence the values of x that make f(x) = g(x) are -3 and 1.

Answer

  • x = -3,1

Let me know if you have any doubts!

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complete question:

Find the volume of the cylinder.

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Radius = 4 and height = 8.

Answer:

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Step-by-step explanation:

The question you to find the volume of a cylinder with a height of 8 and radius of 4. The volume of a cylinder can be represented below

volume of a cylinder =  πr²h

where

h = height

r = radius

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r = 4

volume of a cylinder =  πr²h

volume of a cylinder =  π × 4² × 8

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volume of a cylinder =  128 × 3.143

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volume of a cylinder ≈ 402.30  unit cube

6 0
3 years ago
Are the solutions correct?
Aloiza [94]

Answer:

First one is wrong. x should be 16.

Second one is not completely visible, so cannot say.

Step-by-step explanation:

In the last step, the divison by 4 yields:

x/16 = 1, so x = 16

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2 years ago
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Step-by-step explanation:

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