Answer:
-(9 x^2 + 15 x - 2)
Step-by-step explanation:
Simplify the following:
-(8 x^2 + 8 x + 8) - x^2 - 7 x + 10
Factor 8 out of 8 x^2 + 8 x + 8:
-x^2 - 7 x + 10 - 8 (x^2 + x + 1)
-8 (x^2 + x + 1) = -8 x^2 - 8 x - 8:
-8 x^2 - 8 x - 8 - x^2 - 7 x + 10
Grouping like terms, -x^2 - 8 x^2 - 7 x - 8 x - 8 + 10 = (-x^2 - 8 x^2) + (-7 x - 8 x) + (10 - 8):
(-x^2 - 8 x^2) + (-7 x - 8 x) + (10 - 8)
-x^2 - 8 x^2 = -9 x^2:
-9 x^2 + (-7 x - 8 x) + (10 - 8)
-7 x - 8 x = -15 x:
-9 x^2 + -15 x + (10 - 8)
10 - 8 = 2:
-9 x^2 - 15 x + 2
Factor -1 out of -9 x^2 - 15 x + 2:
Answer: -(9 x^2 + 15 x - 2)
Answer:
In a census carried out in upper secondary schools in a municipality, 8 schools participated, indicating the number of students who graduated in a given year. The data is shown in the following graph and according to this, what was the average number of graduated students?
Step-by-step explanation:
This is what it says in english
The answer is C. Below is the solution:
Expected value E(x) = 0.6(200,000) + 0.2(100,000) - 0.2(200,000) = 120,000 + 20,000 - 40,000 = 100,000
Therefore, the expected value is $100,000, so the company should build the mousetrap.
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A. Yes, the value of this function is 8 when x is 15.
B. False. I noted right away that the ordered pair (0,5) is not included, and some of the ordered pairs included do not represent the given function.
C. Yes, f(5) = 6. See (A) above.
D. False. The range of this function is the set of integers between 5 and 13 inclusive.
Answer:
f (x) = (∛x) 3
f (y) = 3 (y)
f (z) = 3 (√z)
Step-by-step explanation:
In this case these three functions when the input changes by 1 the outputs triple it, whatever square root of 1 always is going to be 1 and if multiplying by 3 that means it is tripling the x.