Answer:
Average speed is 3 kilometers an hour
Answer:
-x^2 - 11x -30
Step-by-step explanation:
Solve using foiling. Ignore the -1 to begin with and just look at the part in parenthesis. Do x from the first parenthesis times the stuff in the second parenthesis.
ie: x(x) and x(6)
ie: x^2 + 6x
Then do the 5 times the things in the second parenthesis.
ie: 5(x) and 5(6)
ie: 5x + 30
Then add what you got from multiplying the first value to what you got from multiplying the second.
ie: x^2 + 11x + 30
This is a trinomial because it has three different variables. Now change all the signs to negative because of the -1 out front.
ie: -x^2 - 11x -30
Answer:
So if we are solving for x and y. First we need to subtract both equations. We take each equation and put in parenthesis and subtract.
y-y = (3x+7)-(-2x-3) =
0 = 3x+7+2x+3
0 = 5x+10
-10 = 5x
-2 = x.
Now we need to solve for y.
Plug it in for the first equation. -2*3+7 = -6+7 = 1
Test if we are correct and try in the second equation.
-2*-2-3 = 4-3 = 1
<u>x = -2</u>
<u>y = 1</u>
The logarithm of a quotient can be written as a difference of logarithms:

You can also think of this as a combination of the product-to-sum and reciprocal/power properties of logarithms:

To summarize,



Answer:
The concept or process is
.
Step-by-step explanation:
Consider the provided information.
The following property can be used to rewrite each radical as an exponent.
The numerator tells the power of the resulting rational exponent, and the denominator of the rational exponents tells the root of that number.
![x^{\frac{m}{n}}=(\sqrt[n]{x})^m](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%28%5Csqrt%5Bn%5D%7Bx%7D%29%5Em)
For example:
![(27)^{\frac{2}{3}}=(\sqrt[3]{27})^2](https://tex.z-dn.net/?f=%2827%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%3D%28%5Csqrt%5B3%5D%7B27%7D%29%5E2)


Hence, the concept or process is
.