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Shalnov [3]
2 years ago
9

Consider the equation. x + 5 7 = 31 7 If you use the addition property of equality, what number would you add to both sides of t

he equal sign to isolate the variable?
Mathematics
1 answer:
never [62]2 years ago
6 0

If you use the addition property of equality, what number would you add to both sides of the equal sign to isolate the variable?

You would subtract 5/7 from both sides of the equation

What is the solution?

x = 26/7 or 3 and 5/7

x + 5/7 = 31/7

Subtract 5/7 from both sides of the equation:

x + 5/7 - 5/7 = 31/7 - 5/7

x = 26/7

You might be interested in
Which exponential function is represented by the values in the table?
Goryan [66]

Answer:

\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x

Step-by-step explanation:

<u>Exponential Function</u>

The exponential function can be written with the general equation:

f(x)=A\cdot r^x

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x

\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0

f(0) = 4

This gives the correct value of f(0)=4.

Substituting in the fourth function:

\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x

\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0

f(0) = \frac{1}{2}

This choice is wrong

Correct choice:

\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}

8 0
3 years ago
Rewrite the equation without absolute value, thanks!
34kurt

Since x - 3 < 0 for -2 < x < 3, |x-3| = -(x-3)

Since x + 2 > 0 for -2 < x < 3, |x+2| = x+2

Since x - 5 < 0 for -2 < x < 3, |x-5| = -(x-5).

So y = -(x-3) + (x+2) -(-(x-5)) = 3 - x + x + 2 + x - 5 = x.

y = x, if -2 < x < 3.

4 0
3 years ago
What is 80 divided by 3/5?
agasfer [191]

Exact form:

\frac{400}{3}

Decimal form:

13.333333333333

Mixed number form:

133\frac{1}{3}

6 0
3 years ago
7^-5 times 7^3 equals what, I need help asap please
djverab [1.8K]
Your answer is 7^(- 2) or \frac{1}{ 7^{2} } or \frac{1}{49}
5 0
3 years ago
Please help! [99 points]
anygoal [31]
This is a linear function.

A linear function is a straight line that has a slope, and follows the formula: <em>
y = mx + b</em>

In which: 
y = y
m = slope
x = x
b = y -intercept


hope this helps<em />
4 0
3 years ago
Read 2 more answers
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