Let L represent the number of cups of lemonade that Marcus sold. Then his revenue can be described by ...
0.75L + 0.35(L -5) = 7.05
1.10L -1.75 = 7.05 . . . . . . . . . . eliminate parentheses
1.10L = 8.80 . . . . . . . . . . . . . . .add 1.75
L = 8 . . . . . . . . . . . . . . . . . . . . .divide by 1.10
Marcus sold 8 cups of lemonade on Saturday.
Answer:
B. 
Step-by-step explanation:
The approximate population in the region is the product of the number of cities in a region and the approximate number of people per city, that is:
(1)
If we know that 
and 
, then the formula for the approximate population in the region is:
![T(x) = [2.9\cdot (1.05)^{x}]\cdot [(1.05)^{3\cdot x + 5}]](https://tex.z-dn.net/?f=T%28x%29%20%3D%20%5B2.9%5Ccdot%20%281.05%29%5E%7Bx%7D%5D%5Ccdot%20%5B%281.05%29%5E%7B3%5Ccdot%20x%20%2B%205%7D%5D)
Hence, correct answer is B.
Answer:
A matched-pairs hypothesis test for μD
Step-by-step explanation:
The trainer wants to compare each athlete's time before the program to the time after the program. Since we're comparing times for the same athlete, the data is paired, so we should use a matched-pairs test.
Answer:
= (3t+2)(3t-2)(3t-4)
Step-by-step explanation:
Given the expression 27t^3 - 36t^2 - 12t + 16
On factoring:
(27t^3 - 36t^2) - (12t + 16)
= 9t²(3t-4)-4(3t-4)
= (9t²-4)(3t-4)
factoring 9t²-4
9t²-4 = (3t)² - 2²
From different of two square, a²-b² = (a+b)(a-b)
Hence (3t)² - 2² = (3t+2)(3t-2)
= (9t²-4)(3t-4)
= (3t+2)(3t-2)(3t-4)
Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)
