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masha68 [24]
3 years ago
9

Given f(x)=2x-4 and g(x)=-3x^2+5x determine f(3)-g(2)

Mathematics
1 answer:
victus00 [196]3 years ago
8 0

Answer:

4

Step-by-step explanation:

Evaluate f(3) and g(2)

f(3) = 2(3) - 4 = 6 - 4 = 2

g(2) = - 3(2)² + 5(2) = - 3(4) + 10 = - 12 + 10 = - 2

Then

f(3) - g(2) = 2 - (- 2) = 2 + 2 = 4

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Explanation:
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1 year ago
What are the solutions to x^2-5x+3=0?
Viktor [21]

Answer:

Step-by-step explanation:

You need to use the quadratic equation

x =  \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}

Givens

  • a = 1
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x = \frac{5 +/- \sqrt{5^2 - 4a*1*3} }{2} \\

x =( 5 +/- sqrt(25 - 12) ) / 2

x = (5 +/- sqrt(13) )/2

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x = .6972

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3 years ago
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2 years ago
Find the 75th term of the following6, 10, 14, 18,
enot [183]

Given the sequence:

6, 10, 14, 18,...

We will find the 75th term

The given sequence is an arithmetic sequence

Because there is a constant common differnce

d = 18 - 14 = 14 - 10 = 10 - 6 = 4

The first term = a = 6

The general formula of the arithmetic sequence is as follows:

a_n=a+d(n-1)

Where: n is the nth term

To find the 75th term, substitute with n = 75 and a = 6, d = 4

a_{75}=6+4\cdot(75-1)=302

So, the answer will be the 75th term = 302

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