Answer:
A
Step-by-step explanation:
Now when I think of solving it, I think of finding the zeros. Now if you start with the form, for example:
Then you can easily see the zeros are -3 and 3.
But if you start with the standard form:
It will be harder to find the zeros and you would do the eqation or factor it.
So if your in the factored form don't go to standard to find the zeros.
Answer:
f(x) = 3x^2 -21x +36
Step-by-step explanation:
The table gives the x- and y-intercepts, which are sufficient to write the equation in factored form. The x-intercepts of 3 and 4 tell you that factors are (x -3)(x -4). When x=0, this product is (-3)(-4) = 12, but the y-intercept value is 3 times that: 36. So, the factored equation is ...
f(x) = 3(x -3)(x -4)
Multiplying this out, we get ...
f(x) = 3(x^2 -7x +12)
f(x) = 3x^2 -21x +36
Answer:
The first quartile can be calculated with this data:
130, 135, 140, 120, 130, 130
And the middle value is:
The median is the value in the 6th position from the dataset ordered and we got:
The third quartile can be calculated with this data:
135 140 140 143 144 150
And the middle value is:
The five number summary for this case:
Min. 1st Qu. Median Mean 3rd Qu. Max.
120.0 130.0 135.0 135.6 141.5 150.0
The boxplot is on the figure attached
Step-by-step explanation:
We have the following data given:
130, 135, 140, 120, 130, 130, 144, 143, 140, 130, 150
If we sort the values on increasing order we got:
120 130 130 130 130 135 140 140 143 144 150
The minimum and maximum are:
The first quartile can be calculated with this data:
130, 135, 140, 120, 130, 130
And the middle value is:
The median is the value in the 6th position from the dataset ordered and we got:
The third quartile can be calculated with this data:
135 140 140 143 144 150
And the middle value is:
The five number summary for this case:
Min. 1st Qu. Median Mean 3rd Qu. Max.
120.0 130.0 135.0 135.6 141.5 150.0
The boxplot is on the figure attached
Answer:
Step-by-step explanation:
Let the number of visits to a pool = n
Charges of n visits = Number of visits × Charges per visit
= n × $4
= 4n
Let the membership amount of the pool = $m
So the inequality showing that a membership is less expensive than paying each visit to the pool will be
4n > m
Now we divide the inequality by 4
n >
Therefore, membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership.