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3 years ago

Select all of the following that are quadratic equations.

Mathematics

1 answer:

goldenfox [79]3 years ago

8 0

Answer:

1. x² + 3x - 5 = 0

2. x² - x = 3 x + 7

4. 7x² + 14x = 0

Step-by-step explanation:

A Quadratic equation takes the form;

ax² + bx + c = 0

a, b, c are constants and a cannot be 0.

Options 1 fits this;

x² + 3x - 5 = 0

Option 2 fits this as well;

x² - x = 3 x + 7

x² -x - 3x - 7 = 0

x² - 4x - 7 = 0

Option 4 fits this as well if c = 0.

7x² + 14x + 0 = 0

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The number of students in a math club decreased from 15 to 11. What is the percent decrease? Round to the nearest percent.

Alinara [238K]

Answer:

27%

Step-by-step explanation:

Decrease= 15-11

Percentage=4÷15

=0.266666667

=26.667%

~27%

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3 years ago

10. Simplify the rational expression by rationalizing the denominator. 3 sqrt 160/sqrt 1350x A) 2 sqrt 15x/15x B) 3 sqrt 160/135

Viefleur [7K]

The simplified expression by rationalizing the denominator is (C) $\frac{4 \sqrt{15x} }{15x}$ .

First we must simplify the expression:
$\frac{3 \sqrt{160} }{\sqrt{1350x} } = \frac{12 \sqrt{10} }{15 \sqrt{6x} } = \frac{4 \sqrt{10} }{5 \sqrt{6x} }$

Then we factor the rational parts and cancel it out:
$\frac{4 \sqrt{2} \sqrt{5} }{5 \sqrt{2} \sqrt{3x} } = \frac{4\sqrt{5} }{5\sqrt{3x} }$

Then we rationalize the expression:
$\frac{4\sqrt{5} }{5\sqrt{3x} } * \frac{\sqrt{3x} }{\sqrt{3x} } = \frac{4 \sqrt{15x} }{5*3x} = \frac{4 \sqrt{15x} }{15x}$

<span>Finally, the simplified expression by rationalizing the denominator is (C) $\frac{4 \sqrt{15x} }{15x}$ .</span>

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3 years ago

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nata0808 [166]

Answer:

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Step-by-step explanation:

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3 years ago

An airline allows passengers 36 kilograms of luggage . Carl has to lower the weight of his bag by 25% to stay within the limit .

Vsevolod [243]

The suit case originally weights 48 kg
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3 years ago

Use the original price and the markdown to find the retail price.

geniusboy [140]

Answer: $88.80

Step-by-step explanation:

26% = .26

120 * .26 = 31.2

120 - 31.2 = 88.8

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3 years ago