Answer:
Each pencil costs 20 cents
Step-by-step explanation:
2.40 - 1 = 1.40
1.40/7 = 0.2
The types of correlation seen between positive correlation, negative correlation, or no correlation, in the variables is:
- a. Height of a person and how often he or she attends religious services. - No correlation
- (b.)Average property tax in a school district and salary of teachers - Positive correlation
- (c.)Weight of a person and shoe size. - Positive correlation
<h3>What is the correlation between property taxes and teacher salaries?</h3>
One of the main sources of funding for school districts is the property tax charged. This means that increased property taxes will lead to more money being available for teacher salaries which might then increase. There is therefore a positive correlation between the two.
The same is true for the weight of a person and shoe size. This is because the heavier a person is, the larger their shoe size according to research.
There is however no correlation between the height of a person and their attendance of religious services.
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Answer:
D. All three functions have the same minimum value
Step-by-step explanation:
f(x) = -3 sin (x-pi) +2
Sin has a minimum value of -1, but since it is multiplied by a negative, we want its maximum value
sin has a maximum of 1
f (min) = -3(1) +2 = -1
g(x) has a minimum at x =3
g(minimum) = -1
h(x) = (x+7)^2 -1
The smallest a squared value can be is zero
= 0 -1
h(min) =-1
First you set f(x) and h(x) equal to each other. So 1/x+1=2x+3. Next, you multiply each side by 1 to cancel out the fraction. So now the answer is x+1=2x+3. Now subtract 1 from each side. X=2x+2. Subtract 2x from each side now. -2x=2. Divide by -2x and get the answer x= -1
