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Mandarinka [93]
3 years ago
12

What is -15 2/3 + (-5 2/3)

Mathematics
2 answers:
solniwko [45]3 years ago
7 0

Answer is -21 1/3

-15 2/3

+  -5 2/3

-------------

Answer is 21 1/3

mr Goodwill [35]3 years ago
5 0

Convert 15 2/3 to an improper fraction;

- 15 × 3 + 2/3 - 5 2/3

Simplify 15 × 3 to 45

- 45 + 2/3 - 5 2/3

Simplify 45 + 2 to 47

- 47/3 - 5 2/3

Convert 5 2/3 to an improper fraction

- 47/3 - 5 × 3 + 2/3

Simplify 15 + 2 to 17

- 47/3 - 17/3

Join the denominators

-47 - 17/3

Simplify

- 64/3

Convert to a mixed fraction;

<u>-21 \frac{1}{3}</u>

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Find the set of values of k for which the line y=kx-4 intersects the curve y=x²-2x at 2 distinct points?
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Answer:

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Step-by-step explanation:

Given

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Required

Possible values of k

The general quadratic equation is:

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Subtract y = x^2 - 2x and y =kx -4

y - y = x^2 - 2x - kx +4

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Factorize:

0 = x^2 +x(-2 - k) +4

Rewrite as:

x^2 +x(-2 - k) +4=0

Compare the above equation to: ax^2 + bx + c = 0

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For the equation to have two distinct solution, the following must be true:

b^2 - 4ac > 0

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Expand

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Factorize

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Split:

k -2 > 0 or k + 6> 0

So:

k > 2 or k > -6

To make the above inequality true, we set:

k < 2 or k >-6

So, the set of values of k is:

-6 < k < 2

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