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3 years ago

Translate the sentence into an equation.

Mathematics

1 answer:

Anestetic [448]3 years ago

3 0

Answer:

9 $x$ + 8 = 6

Step-by-step explanation:

The product of two numbers is the result you get when you multiply them together, so the product of $x$ and 9 is 9 $x$

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0.3x=15<br> Identify the slope and y-intercept.

masha68 [24]

Steps to solve:

0.3x = 15

~Divide 0.3 to both sides

0.3x/0.3 = 15/0.3

~Simplify

x = 50

This is a vertical line so the slope is undefined.

The line passes through the point (50, 0) and there is no y-intercept since its a straight vertical line.

Best of Luck!

8 0

3 years ago

Find (x - 6)2

Sever21 [200]

Its 4-6=2 its easy because just keep useing numbers until the become two

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3 years ago

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An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the

Serggg [28]

Answer:

B. x<27

Step-by-step explanation:

The shelter has 165 animals.

The shelter must keep its total occupancy below 300.

The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be

165+5x animals. This number must be less than 300, so

$165+5x< 300\\ \\5x< 300-165\\ \\5x< 135\\ \\x< 27$

8 0

3 years ago

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Make a conjecture about the next item in the sequence 1, -4, 9, -16

Snezhnost [94]

To get -4 from 1, we must either subtract 5 from 1 or mult. 1 by -4. Unfortunately subtracting 5 from -4 does not result in 9, and mult -4 by -4 does not result in -16. So neither "works" in predicting the next term.

Can you think of any other experiments to do that would help you discover the pattern 1, -4, 9, -16?

4 0

3 years ago

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What is a radius of a circle given by the equation x²-2x+8y-47=0

Zolol [24]

First, we are going to rewrite it as a parabola equation.
Rewrite.
$8y=-x^2+2x+47$
Divide by 8.
$y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}$
Factor out coefficient.
$y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}$
Then, we are going to convert x into square form.
$y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Convert the whole expression into square form.
$y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Simplify.
$y=-\frac{1}{8}\left(x-1\right)^2+6$
Subtract 6 from both sides.
$y-6=-\frac{1}{8}\left(x-1\right)^2$
Divide by coefficient.
$-8\left(y-6\right)=\left(x-1\right)^2$
Rewrite in standard form.
$4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2$

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive.
Have a nice day! :)

7 0

3 years ago

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