<u><em>Answer</em></u>
<u><em>Explanation</em></u>
Based on the given conditions, formulate:: 
Substitute into 
:: 
Rearrange variables to the left side of the equation: 
Calculate the sum or difference: 
Divide both sides of the equation by the coefficient of variable: 
Cross out the common factor:
14 laps of swimming will take her 10 1/2 minutes.
D.
24 is the distance Carlos biked
30 is the total distance
24:30 divided by 6
4:5
We have by the intermediate value theorem that if a continuous function takes values both above and below zero at 2 points, there is a zero of the function in-between. We have that polynomials are continues. Let's calculate f(-6) and f(-5). f(-6)=-36 while f(-5)=-1. Thus, we cannot conclude that there is a root between them.
F(-2)=8, f(-1)=-1, so there is a flip; a zero must exist between them.
F(1)=-1, f(2)=20, so again there is a change of signs.
f(-5)=-1, f(-4)=14 so there is a root still.
We have that the only choice that does not have a root between the integers is choice a.
Answer:
20<
Step-by-step explanation:
