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aleksandr82 [10.1K]

3 years ago

7

15 times the square of a nonzero number is equal to 20 times the number

1 answer:

melisa1 [442]3 years ago

4 0

Answer:

Let the number be x

The expression above is written as

15x² = 20x

Divide both sides by x

We get

15x²/x = 20x/x

15x = 20

Divide both sides by 15

x = 20/15

x = 4/3

Hope this helps

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What is the equation of the line perpendicular to 3x+y=6 that passes through the point (0,8)

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$3x + y = 6$

$y = - 3x + 6$

The coefficient of x is the slope of the line , So the slope of the above equation is -3 .

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Remember from now on ,

Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .

Thus ;

$( - 3) \times (m) = - 1$

m is the slope of the line which we want.

$- 3m = - 1$

Negatives simplifies

$3m = 1$

Divide sides by 3

$\frac{3m}{3} = \frac{1}{3} \\$

$m = \frac{1}{3} \\$

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We have following equation to find the point-slope form of the linear functions :

$y - y(0) = m(x - x(0))$

x(0) and y(0) are the coordinates of the point which the line passed through.

$y - 8 = \frac{1}{3} (x - 0) \\$

$y - 8 = \frac{1}{3} x \\$

Add sides 8

$y = \frac{1}{3} x + 8 \\$

Done....

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2 years ago

Seven times a number is less than or equal to a quantity that is 24 less than that same

Ad libitum [116K]

Answer:

$7x\leq x-24$

Here, $x$ denotes the required number.

Step-by-step explanation:

Let $x$ denotes the required number that satisfies the following condition.

''seven times a number is less than or equal to a quantity that is 24 less than that same number''

Seven times a number is equal to $7x$

Quantity that is 24 less than that same number is equal to $x-24$

Now find the inequality.

As seven times a number is less than or equal to a quantity that is 24 less than that same number,

$7x\leq x-24$

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3 years ago