Answer:
The value of f(x) when x=-1 is 0.5
Therefore 
Step-by-step explanation:
Given that y=f(x)=
to find the f(x) when x=-1 :
That is to find f(-1)
Put x=-1 in the given function f(x)=



Therefore 
The value of f(x) when x=-1 is 0.5
Answer:
see below
Step-by-step explanation:
3x^2 + 17x +10 =0
(3x+ ) ( x+ ) =0
We need to factor 10 = 2*5 or 1*10
They are positive since we have all positive terms
3*5 = 15+2 = 17
The 5 needs to multiply the 3 so it goes on the outside
(3x+ ) ( x+ 5 ) =0
That leaves the 2 on the inside
(3x+ 2 ) ( x+ 5 ) =0
Using the zero product property
3x+2 =0 x+5=0
3x = -2 x=-5
x = -2/3 x = -5
Answer:
The sale price was 60% of the purchase price.
Step-by-step explanation:
Given that Blake bought a motorcycle for $ 550 last year and sold it for $ 330 this year, to determine what is his sale price as a percentage of his purchase price, the following calculation must be performed:
550 = 100
330 = X
330 x 100/550 = X
33000/550 = X
60 = X
Therefore, the sale price was 60% of the purchase price.
Isn't it impossible to drink from an empty bottle?
Answer:
4.27%
Step-by-step explanation:
We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.
We will use z-score formula to solve our given problem.

z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.




Now, we need to find
.
Using formula
, we will get:

Using normal distribution table, we will get:



Therefore, 4.27% of college students sleep for more than 9.6 hours.