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Rina8888 [55]
4 years ago
5

Given f(x)=3x-1 and g(x)=2x-3, for which value of X does g(x)=f(2)?

Mathematics
2 answers:
son4ous [18]4 years ago
4 0
X must be 4.
I uploaded the photo as an answer

lana [24]4 years ago
4 0

Answer:

For the value of 4.

Step-by-step explanation:

Given,

f(x)=3x-1 -----(1),

g(x)=2x-3 ------(2),

From equation (1),

f(2) = 3(2) - 1 = 6 - 1 = 5, ----(3)

If, g(x)=f(2)

From equation (2) and (3),

2x - 3 = 5

2x = 8   ( Additive property of equality )

x = 4     ( Division property of equality )

Hence, for the value of x equal to 4, g(x) = f(2) is true.

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The quadratic expression cannot be factorized, because the discriminant is less than 0

<h3>How to factorize the expression?</h3>

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2 years ago
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3 years ago
Once upon a time there was a farmer whose family raised pigs and chickens. If you counted 24 heads and 80 feet, how many chicken
Natalka [10]

Answer:

Number of chickens = 8

Number of pigs = 16

Step-by-step explanation:

Let the pigs = p

Let the number of chickens = c

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p + c = 24 ----------------(I)

p= 24 - c

Number of feet = 80

Chicken has 2 legs and pig has 4 legs

4p + 2c = 80 --------------(II)

Substitute p = 24 - c in equation (II)

4*(24 - c) + 2c = 80

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96 - 4c + 2c = 80          {Combine like terms}

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          -2c = 80 - 96

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           c = -16/-2

          c = 8

Plugin c = 8 in equation (I)

p + 8 = 24

    p = 24 - 8

  p = 16

3 0
3 years ago
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