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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

Mathematics
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 .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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.

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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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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

6 0
3 years ago
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