Using a linear function, the correct option regarding the situation is given by:
C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.
<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.
The bill is modeled by a linear function, with an <u>intercept of $38 and a slope of $1.28</u>, hence it is given by:
C(x) = 1.28x + 38
The bill should be between $57 and $87 dollars per month, hence:
57 <= C(x) <= 87.
The values of x are:
C(x) >= 57
1.28x + 38 >= 57
x >= 19/1.28
x >= 14.8.
C(x) >= 87
1.28x + 38 >= 87
x >= 49/1.28
x >= 38.3.
Hence option C is correct.
More can be learned about linear functions at brainly.com/question/24808124
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The Area of a Square is the square of the measure of one side of the square.
Hence, given the expression for the area of a square, express the given area as the square of an expression to get the measure of one side.
The given expression is:
Rewrite the expression as:
Recall the binomial expansion:
Substituting a=10x and b=8, it follows that the expression becomes:
Since the area of a square is the square of the measure of one side, it follows that the measure of one side from the given expression is 10x-8.
3 parts lemon juice and 4 parts water
3 : 4 = 0.75
<span>He mixed 0.75 parts of lemon juice with each part of water.
Hope this helps :)</span>
Answer:
B. Median is greater than the mean and the majority of data points are to the right of the mean.
Step-by-step explanation:
Mean = sum(x × p(x))
= (1×0.1)+(2×0.15)+(3×0.2)+(4×0.45)+(5×0.1)
= 3.3
Probability of more than 3.3 is:
0.45 + 0.1 = 0.55 > 0.5
Your answer is 3/4. remove parentheses, multiply both sides by 4, collect the like terms, move terms, collect the like terms again and calculate, then divide both sides by -12
