Answer:
Step-by-step explanation:
(t-3)^5 is the same as (t + (-3))^5
First: t starts at the highest power and goes down and (-3) starts at the lowest power and goes up
Second: from the Pascal triangles take the coefficients 1 5 10 10 5 1
Anything to power 0 is equal to 1
Negative number to an odd power is negative, to a even power is positive
The function of the trapezoid area is:
A(x)=(B+b)*h/2
Where B and b are the bases and h is the height.
With the given data: h=10 B and b =7 and x (it may vary which one is bigger)
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So that function becomes:
A(x)=(7+x)*10/2
A(x)=(7+x)*5
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So if you want the inverse function, you have to operate to find x:
A(x)/5=7+x
A(x)/5-7=x
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So the new function is:
x(A)=A/5-7
In order to determine the cost of each pencil we have to divide the total cost for the package of pencils by the number of pencils contained
For the 4 pencils box:
Cost per pencil = Total cost/number of pencils
Cost per pencil = 6/4 = 1.5
Similarly, for the 5 pencils package:
Cost per pencil = 7/5 = 1.4
As you can see, the $7 package is better to buy, because each pencil costs $1.4, then, option A is the correct answer
Answer:
8 16 24 32 <u>40</u> 48 56 64 <u>72</u>
1 2 3 4 <u>5</u> 6 7 8 <u>9</u>
Step-by-step explanation:
The proportion is 8:1
When the dollar amounts increase by 8, the hour amounts increase by 1, and vice versa. That is why it is a proportion.