The answer is D because the answers are put into vertex form and all you have to do is look at your (h,k) values
Answer:
t = 7
Step-by-step explanation:
5(2t - 3) – 7.5t = 0.5(12 – t)
5*2t - 3*5 - 7.5t = 12*0.5 - t *0.5
10t - 15 - 7.5t = 6 - 0.5t {Now, combine like terms}
10t - 7.5t - 15 = 6 - 0.5t
2.5t -15 = 6 - 0.5t {Add 15 to both sides}
2.5t = 6 - 0.5t + 15
2.5t = 21 - 0.5t { Add 0.5t to both sides}
2.5t + 0.5t = 21
3t = 21 {Divide both sides by 3}
t = 21/3
t = 7
Answer:
199 if it's 7b^3 + 10
9271 if it's (7b)^3 + 10
Step-by-step explanation:
You just substitute the 3 in for d. If your expression was 7b^3 + 10, then only b is being raised to 3.
So 3^3 is 27, 27*7 is 189, 189+10 is 199.
If the expression was (7b)^3 + 10, then first you multiply 7 and 3 to get 21. Then you raise 21 to the power of 3, which is 9261. Then you add 10, which is 9271.
Answer: 334
Step-by-step explanation:
6 consecutive numbers can be written as:
n, n+1, n+2, n + 3, n + 4, n + 5,
The addition of those 6 numbers is:
n + n+1 + n+2 + n + 3 + n + 4 + n + 5
6n + 1 + 2 + 3 + 4 + 5 = 6n + 15
Let's find the maximum n possible:
6n + 15 = 2020
6n = 2020 - 15 = 2005
n = 2005/6 = 334.16
The fact that n is a rational number means that 2020 is can not be constructed by adding six consecutive numbers, but we know that with n = 334 we can find a number that is smaller than 2020, and with n = 335 we can found a number bigger than 2020.
So with n = 334 we can find one smaller.
6*334 + 15 = 2019
and we can do this for all the values of n between 1 and 334, this means that we have 334 numbers less than 2020 that can be written as a sum of six consecutive positive numbers.
Answer:
cant read
Step-by-step explanation:
