The equation given is:
10 5/18 - 8 5/6
Turn the equations to improper fractions
[10*18 +5] = 185
[8 * 6 + 5]= 53
185/18 - 53/6
[185 - 159]/18 = 26/18
26/18 = 1 8/18.
Answer:
y = -(x+4)² +7
Step-by-step explanation:
I find it convenient to factor the leading minus sign from the first two terms, then work with what's left.
... y = -(x² +8x) -9
Now, add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.
... y = -(x² +8x +4²) -9 +4²
... y = -(x +4)² +7 . . . . . . . . . rewrite parentheses as a square; collect terms
Answer:
8
Step-by-step explanation:
-7.5 times 1/3=-2.5
To take 1/3 of something, multiply the original by the fraction.
Answer:
5 mph.
Step-by-step explanation:
Let the runner travel at x miles an hour , then the cyclist travels at 5/ 3 * x
= 5/3 x miles an hour.
So we have the equation
5/3 x - x = 2 ( since the cyclist was travelling at 2 mph faster).,
2/3 x = 2
x = 3/2 * 2 = 3 mph.
So the cyclists speed was 3 * 5/3
= 5 mph.
