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alexandr402 [8]
3 years ago
9

Which line(s) intersect the parabola y = x^2 − 3x + 4 at two points? Select all that apply. A. y = –3x + 2 B. y = –3x + 3 C. y =

–3x + 5 D. y = –3x + 6
Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

C and D

Step-by-step explanation:

Equating the line A and the parabola, we get

-3x + 2 = x² - 3x + 4

0 = x² - 3x + 4 +3x - 2

0 = x² + 2

-2 = x²

which has no real solutions. Then, the line A and the parabola don't intersect each other.

Equating the line B and the parabola, we get

-3x + 3 = x² - 3x + 4

0 = x² - 3x + 4 + 3x - 3

0 = x² + 1

-1 = x²

which has no real solutions. Then, the line B and the parabola don't intersect each other.

Equating the line C and the parabola, we get

-3x + 5 = x² - 3x + 4

0 = x² - 3x + 4  + 3x - 5

0 = x² - 1

1 = x²

√1 = x

which has 2 solutions, x = 1 and x = -1. Then, the line C and the parabola intersect each other.

Equating the line D and the parabola, we get

-3x + 6 = x² - 3x + 4

0 = x² - 3x + 4  + 3x - 6

0 = x² - 2

2 = x²

√2 = x

which has 2 solutions, x ≈ 1.41 and x ≈ -1.41. Then, the line D and the parabola intersect each other.

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Linn is making cookies. Each batch of cookies
Pachacha [2.7K]

Answer:

4 cups of sugar require 14 cups of sugar

Step-by-step explanation:

Given

\frac{7}{8}\ cup\ flour = \frac{1}{4}\ cup\ sugar

Required

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First, we need to determine the unit rate for 1 cup of sugar.

This is done by multiplying both sides by 4

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Next, we determine cup of flour for 4 cups of sugar.

This is done by multiplying both sides by 4

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Someone help pleasee
dezoksy [38]
It’s -3/2 :) Hope this helps!
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An equation is shown below: 2(3x − 5) = 1 Which of the following correctly shows the first two steps to solve this equation? Ste
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Answer:

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5 0
3 years ago
Read 2 more answers
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