<span>Given a function, if you suspect a root lies near a specific point on the number line, you can evaluate the function at several nearby values and see whether the evaluation is positive or negative. Using a calculator, you should find two real numbers that are at distance 0.01 from one another, such that one real number evaluates positive, and the other evaluates negative. Then the interval between these values contains a root.</span>
X=-84. 3(x-6)+24=50+4(x+10)
distrubute. 3x-18+24=50+4x+40
move terms. 3x+6=90+4x
collect like terms 3x-4x=90-6
subtract -x=84
divide by -1. x=-84
Answer:
14.5 hours/14 hours 30 minutes
Step-by-step explanation:
- The distance between the two cities is 7.25•100=725 because you multiply the scale distance by the scale.
- The number hours is 725/50=14.5 hours because you divide the distance by 50 (the miles per hour).
Step-by-step explanation:
For y = x^3 - 4 when x = 0, y = -4.
For y = x^2 + 3 when x = 0, y = 3.
Looking at the graph, the y-intercept of the function is below 0. Hence the bottom part is from x^3 - 4 and the top is from x^2 + 3.
The bottom part has a dark circle, which means when x = 1 it belongs to x^3 - 4.
Hence the answer is D.