The value of x is 1/13 (4th choice)
Step-by-step explanation:
![{a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} }](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%20%7D%20%20%3D%20%20%5Csqrt%5Bn%5D%7B%20%7Ba%7D%5E%7Bm%7D%20%7D%20)
If 14^x = ¹³√14, what value of <em>x </em>makes this equation true?
![\sqrt[13]{14} = {14}^{x} \\ \sqrt[13]{14} = {14}^{ \frac{1}{13} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B13%5D%7B14%7D%20%20%3D%20%20%7B14%7D%5E%7Bx%7D%20%20%5C%5C%20%20%5Csqrt%5B13%5D%7B14%7D%20%20%3D%20%20%7B14%7D%5E%7B%20%5Cfrac%7B1%7D%7B13%7D%20%7D%20)
So, the value of <em>x</em> is 1/13 (4th choice)
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Answer:
The solutions of the system of equations are the points
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by substitution
substitute equation B in equation A

solve for x


The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
----->
----->
<em>Find the values of y</em>
For
---->
For
---->
therefore
The solutions of the system of equations are the points
Answer:
She spent 40 more dollars or to be exact 40.70 dollars more then aiden
Step-by-step explanation:
Aiden bought 60 candles.
0.37*60 is equal to $22.20
Aidens sister bought 170 candles at same price of $0.37
0.37*170=$62.90
Now subtract
$62.90-22.20=$40.70
She spent 40 more dollars or to be exact 40.70 dollars more then aiden
Answer:
3 and - 4
Step-by-step explanation:
Calculate the gradients using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
Line A
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m =
= 3
Line B
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (0, 5) ← 2 points on the line
m =
=
= - 4