Answer: Mode = 12
Explanation: The mode is the most frequent value, so it is the value that shows up the most. In this case, that would be the value "12" since it shows up three times (while the other values only show up once).
The total cost is given by the equation:
C(t) = 45 + 25(h-1) where h is the number of hours worked.
We can check for each option in turn:
Option A:
Inequality 5 < x ≤ 6 means the hour is between 5 hours (not inclusive) to 6 hours (inclusive)
Let's take the number of hours = 5
C(5) = 45 + (5-1)×25 = 145
Let's take the number of hours = 6
Then substitute into C(6) = 45 + (6-1)×25 = 170
We can't take 145 because the value '5' was not inclusive.
Option B:
The inequality is 6 < x ≤ 7
We take number of hours = 6
C(6) = 25(6-1) + 45 = 170
We take number of hours = 7
Then C(7) = 25(7-1) + 45 = 195
Option C:
The inequality is 5 < x ≤ 6
Take the number of hours = 5
C(5) = 25(5-1) + 45 = 145
Take the number of hours = 6
C(6) = 25(6-1) + 45 = 170
We can't take the value 145 as '5' was not inclusive in the range, but we can take 170
Option D:
6 < x ≤ 7
25(6-1) + 45 < C(t) ≤ 25(7-1) + 45
170 < C(t) ≤ 195
Correct answer: C
The graph which best represents the new function is a linear function on a coordinate plane as shown in the image below.
<h3>How to determine the graph of the new function?</h3>
First of all, we would determine the slope of the linear function as follows:
Slope, m = ⅔.
Multiplying by -4, the new slope is:
Slope = ⅔ × -4
Slope = -8/3 or 2.7.
For the equation of this line, we have:
y - y₁ = m(x - x₁)
y - 0 = -8/3(x - 3)
y - 0 = -8/3x + 8
y = -8/3x + 8
Decreasing the y-value by 1, we have:
y = -8/3x + 8
y = -8/3x + 8 - 1
y = -8/3x + 7
Therefore, we would have a linear function on a coordinate plane as shown in the image attached below.
Read more on slope here: brainly.com/question/17601248
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If your 2 means "u squared" then
Just do 8-42=-34
The answer is -32u^2
I use ^ to show exponents
Answer:
D (2,0), (3,0)
Step-by-step explanation:
Sorry if it's wrong
