Answer: C, 7.5
Step-by-step explanation: Since he can ring up 2 customers in 8 minutes, that would mean he can ring up 4 in 16 minutes. He could also ring up 6 in 24 minutes. He could do this since every two customers is 8 minutes. 4 minutes would mean he could do 1 customer and 2 minutes would be .5 customer. So, at 24 minutes he could ring 6 customers and a extra 6 minutes to 30 minutes would add 1.5 customers to a total of 7.5 customers in half an hour (30 minutes)
The piece-wise linear functions can be written as follows:
.
.
.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
log (3) log (x)
--------- + ---------
2 2
Step-by-step explanation:
a. distribute to get → log (3) log (x)
--------- + ---------
2 2
Hope this helped! :)
Answer:
1/3
Step-by-step explanation:
If Mackenzie drinks 8 ounces of water per 24 hours, that could be written as a ratio and a fraction. 8:24, 8/24
8/24 in its simplest form is 1/3.
Answer:
The cosine of the angle is <u>positive</u>
The sine of the angle is <u>negative</u>
Step-by-step explanation:
We are given that
angle lies in fourth quadrant
and we know that
In first quadrant:
sin is positive
cos is positive
In second quadrant:
sin is positive
cos is negative
In third quadrant:
sin is negative
cos is negative
in fourth quadrant , cosine of angle is always positive
and sine of angle is always negative
so,
The cosine of the angle is <u>positive</u>
The sine of the angle is <u>negative</u>
