Answer:
Marie ran at a faster rate. It takes 27 minutes for Lisa to run 15 laps while it takes Marie 26.25 minutes to run 15 laps.
Step-by-step explanation:
18 ÷ 10 = 1.8 (Lisa's rate)
14 ÷ 8 = 1.75 (Marie's rate)
1.8 x 15 = 27 minutes (How long it takes for Lisa to run 15 laps)
1.75 x 15 = 26.25 (How long it takes for Marie to run 15 laps)
Answer:
1 5/36
Step-by-step explanation:
need a common denominator which would be 36
to get from 9 to 36 you multiply by 4 so 5 would be multiplied by 4 to get the fraction 20/36
do the same with 7/12 12x3 is 36 and 7x3 is 21 so 21/36
then add 20+21=41
put over 36 41/36
Find if you can lower it which you can:
41 is bigger than 36 by 5 so your ending fraction would be 1 and 5/36 because 5 and 36 don't have a common factor.
Answer:
given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value
Step-by-step explanation:
Answer:
2x-3
Step-by-step explanation:
f(x) = 3x-1
g(x) = x+2
Find (f-g)(x), this means we need to subtract g from x.
(3x-1) - (x+2)
Subtract the like terms:
3x -x = 2x
-1 -2 = -3
Combine them to get 2x-3
Answer:
The initial value of the function is 25 and the rate of change is - 5.
Step-by-step explanation:
The table gives the ordered pairs of linear relation and they are (1,20) and (3,10).
Now, the equation of the linear relation that includes those ordered pairs will be
⇒ y - 10 = - 5(x - 3)
⇒ y - 10 = - 5x + 15
⇒ y = - 5x + 25
Therefore, the initial value of the function is 25 and the rate of change is - 5. (Answer)
