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Sergeu [11.5K]
2 years ago
7

Chapter 7 need help ASAP

Mathematics
1 answer:
Elan Coil [88]2 years ago
5 0

Answer:

The answer should be that Q is (-3,-2)

Step-by-step explanation:

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A quadratic function is defined by f(x) = 3x^2 + 4x - 2. A linear function is defined by g(x) = mx-5. What values of the slope o
irakobra [83]
You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.

Then 3x^2 + 4x -2 = mx - 5

solve 3x^2 + 4x - mx -2 + 5 = 0

3x^2 + (4 - m)x + 3 = 0

In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>

b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0

(4 - m)^2 = 24

4 - m = +/- √(24)

m = 4 +/- √(24) = 4 +/- 2√(6)

Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6




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Sort the fractions and numbers from smallest to largest 2 , 5/4 , 9/4 , 3 , 3/1​
Fudgin [204]

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5/4, 2, 9/4, 3, 3/1    (the last two are the same so it could go in either order)

Step-by-step explanation:

1 1/4, 2, 2 1/4, 3, 3

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