Answer:
the last option: 
Step-by-step explanation:
Make sure you have the numerical answer for each of the functional expressions that are shown among the possible solution choices:
f(4) = -14 (what the blue function reads [its y-value] when x is 4)
g(4) = 10 (what the red function reads [its y-value] for x=4)
g(-2) = 4 (y-value of the red function when x is -2)
f(2) = -8 (y-value of the blue function for x = 2)
f(-2) = 4 (y-value of the blue function for x =-2)
use them to compare the options they give you, and the only one that matches is the last option.
Answer:
c(h) = 50 +10h
c(4) = 90 . . . . . it costs $90 to rent the truck for 4 hours
Step-by-step explanation:
The problem statement tells you the total charge is the sum of $50 and a charge of $10 per hour. That is, for h hours, the total charge is ...
c = 50 + 10h
In functional form, this is ...
c(h) = 50 +10h . . . . . . total charger for a rental of h hours
__
The function value with an input of 4 is ...
c(4) = 50 +10·4
c(4) = 90
Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 4 hours.
<span>To minimize the perimeter you should always have a square.
sqrt(289) = 17
The dimensions should be 17 X 17
To see , try starting at length 1, and gradually increase the length.
The height decreases at a faster rate than the length increases, up until you reach a square.
Or if you want to use algebra, Say the width is 17-x
Then the length is 289/(17-x)
Now, this is bigger than 17+x, as shown here:
289/(17-x) > 17+x
289 > 289 - x^2
which is true.
so the perimeter would be bigger than 2 * (17- x + 17 + x) = 2 * (2 * 17) = 4 * 17
Again, the dimensions should be a square. 17 X 17.</span>
Answer:
The probability distribution of X is given by,
P(X = x)
0.17 when x = 1
0.22 when x = 2
0.28 when x = 3
0.33 when x = 4
= 0 otherwise
Step-by-step explanation:
According to the question, X is the random variable denoting age of a house to the nearest year in a neighborhood.
From the given data we can construct the following table -
Age of house(X) Frequency Relative frequency
(Almost equal to)
1 15 0.17
2 20 0.22
3 25 0.28
4 30 0.33
So, the probability distribution of X is given by,
P(X = x)
0.17 when x = 1
0.22 when x = 2
0.28 when x = 3
0.33 when x = 4
= 0 otherwise