One rule in Geometry is the vertical angle theorem. This is when two angles are directly across from each other, they would equal each other. This means that (3x+54) and (7x+10) will equal each other, giving you the function
3x+54=7x+10
Knowing this, all we would need to do now is solve for x. To do this, lets get x to the left. We do this but subtracting both sides by 7x to get rid of 7x on the right side, and bring it to the left
3x+54=7x+10 ------> 3x-7x+54=10 --------> -4x+54=10
Now, lets get x by itself, but subtracting both sides by 54, then dividing both sides by -4
-4x+54=10 ---> -4x=10-54 ---> -4x=-44 ---> x=-44/-4 ---> x= 11
So, we know that x=11. Now, we can plug it into either function. It doesn't matter which one since they both equal each other
f(x)=7x+10 ---> f(11)=7(11)+10 = 77+10 = 87
Our answer is 87
Basis step: Let . Then
and
so .
Inductive step: Assume . We want to show that .
Now
where the first inequality follows from the induction hypothesis; the second follows from multiplying the right side by some ; and the third from adding the remaining terms to complete the binomial expansion , all of which are positive since they are some power of .
QED
Answer:
-3.25,7,9/4,3,
Step-by-step explanation:
-3.25 is the least because it negative
9/4 is next because the line means division
so 9 divided by four is 2.25
and next is the square root of 7
square root is what number times itself equals 7
its a repeating decimal, but its 2.645 and it keeps going
next is 3
-3.25,2.6,2.25,3
I tried :'), I hope it helps!
The total cost for one can is: $25.41.
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Let us assume that we want to know the total cost of ONE CAN.
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To calculate our answer:
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$ 23.97 + [ (6/100) * 23.97)] = Our answer, in dollars.
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Note: "6%" = 6/100 = 0.06
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Rewrite as:
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$ 23.97 + [ (6/100) * 23.97)] = our answer, in dollars;
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$ 23.97 + (0.06 * 23.97)
= $ 23.97 + 1.4382
= $ 25.4082 ; Round to decimal places, to get:
<span>→ $ 25.41
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