Answer:
Between 7 and 8
Step-by-step explanation:
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
since 61 is between 7^2 and 8^2, √61 is between 7 and 8
Answer:
f(-2x+4) = -10x+18
Step-by-step explanation:
Too hard for me. I'm only in 5th grade
Answer:
Answer is after 20 miles
Step-by-step explanation:
10 +2.5x = 3x
10 = 3x-2.5x
10=0.5x
10/.5=x
x=20
At 20 miles they both have a cost of 60
Answer:
This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L * W.
Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:
x - 4 / x^2 + x - 20
Let's use synthetic division here. It's a little faster than long division.
If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:
4 / 1 1 -20
4 20
--------------------
1 5 0
This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.
