Answer:
x=√2 or x=1.414
Step-by-step explanation:
2x²+8=12
2x²=12-8
2x²=4
x²=4/2
x²=2
x=√2 or x=1.414
Answer:
B
Step-by-step explanation:
The correct answer should be 23 3/4 miles
I hope this helps
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Answer:
A
Step-by-step explanation:
ABC triangle is 1/2 the size of DEF triangle. In order to transform ABC to DEF, the scale has to be doubled and the point on the y-axis has to move down to 10
We are given the function:
g(n) =
![3 (\frac{7}{5} )^n](https://tex.z-dn.net/?f=3%20%28%5Cfrac%7B7%7D%7B5%7D%20%29%5En)
We need to find what g(-3) equals.
What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3.
g(-3) =
![3( \frac{7}{5})^{-3}](https://tex.z-dn.net/?f=3%28%20%5Cfrac%7B7%7D%7B5%7D%29%5E%7B-3%7D%20%20)
Remember back to the order of operations.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent.
Negative exponents make fractions FLIP. So our fraction will look like this:
![(\frac{7}{5})^{-3} = (\frac{5}{7})^{3}](https://tex.z-dn.net/?f=%28%5Cfrac%7B7%7D%7B5%7D%29%5E%7B-3%7D%20%3D%20%20%28%5Cfrac%7B5%7D%7B7%7D%29%5E%7B3%7D%20%20)
Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this:
![\frac{5}{7}* \frac{5}{7}* \frac{5}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B7%7D%2A%20%5Cfrac%7B5%7D%7B7%7D%2A%20%5Cfrac%7B5%7D%7B7%7D%20%20%20)
)
![\frac{5^{3}}{7^{3}} = \frac{125}{343}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%5E%7B3%7D%7D%7B7%5E%7B3%7D%7D%20%3D%20%20%5Cfrac%7B125%7D%7B343%7D%20)
We ARE NOT done! We still have this left:
g(-3) =
![3 \frac{125}{343}](https://tex.z-dn.net/?f=3%20%5Cfrac%7B125%7D%7B343%7D%20)
Multiplying by 3 you get the following:
![\frac{375}{343}](https://tex.z-dn.net/?f=%20%5Cfrac%7B375%7D%7B343%7D%20)
So what does g(-3) equal? This right here: