Answer:
$658
Step-by-step explanation:
42 x 99 = 4,158
4,158 - 3,500 = 658
Answer: Yes. (gof)(0) = -5
(gof)(0) means you will find the function of g(f(0)), which means we will find f(0) and plug that value in for x in the function g(x)
We know f(0) is -1, so we can plug -1 into the equation of g(x)
(gof)(0) = (-1) - 4
(gof)(0) = -5
Answer:
C) a positive correlation
Step-by-step explanation:
<em>More people ⇒ Longer time</em> is a positive correlation between those variables. However, <em>longer time</em> is not the desired outcome.
Rather, <em>shorter time</em> is the desired outcome. The correlation between <em>more people</em> and <em>shorter time</em> is negative. In order to compute that correlation numerically, one would have to define a function that would give a numerical value for "shorter time" that would model the goodness of outcome as time gets shorter.
Answer:
10 buses are needed.
9 buses will only be able to take 468 people.
Explanation:
There are 461 + 20 = 481 people altogether needing transport. Each bus can take at most 52 people. The number of buses needed =
482 ÷ 52.
482 ÷ 52 = 9.25 buses. You might be tempted to round down to 9 buses (because of the 2 that follows the decimal) However, if there are 9 buses,
9 × 52 = 468 people can be taken There will still be
13 people to be transported. This is an example of where you need to round UP to the next whole number.
10 buses are needed. In reality it means that not all the buses will be full, but 10 buses are needed to ensure that everyone gets a ride to the museum.
Set them equal together. 4x-8=2x+2. Subtract 2x on both sides. 2x-8=2. Add 8 on both sides. 2x=10. Divide 2 on both sides x=5. Check answer!!!
4(5)-8=12
2(5)+2=12
12=12
So answer is x=5!!!!
