What is the sum of all integers x that satisfy 1 < (pi -1 )x < 10?
2 answers:
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Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify!
You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example,
.
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example,
.
3) The zero exponent rule<span> says that any number raised to zero is 1. For example,
.
</span>
Back to the Problem:
Problem 1
The x-values are in the left column. The title of the right column tells you that the function is
. The x-values are:
<span>1) x = 0
</span>Plug this into
to find letter a:
<span>
2) x = 2
</span>Plug this into to find letter b:
<span>
3) x = 4
</span>Plug this into to find letter c:
<span>
Problem 2
</span>The x-values are in the left column. The title of the right column tells you that the function is
. The x-values are:
<span>1) x = 0
</span>Plug this into
to find letter d:
<span>
2) x = 2
</span>Plug this into to find letter e:
<span>
3) x = 4
</span>Plug this into to find letter f:
<span>
-------
Answers:
a = 1
b = </span>
<span>
c = </span>
d = 1
e =
f =
You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example,
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example,
3) The zero exponent rule<span> says that any number raised to zero is 1. For example,
</span>
Back to the Problem:
Problem 1
The x-values are in the left column. The title of the right column tells you that the function is
<span>1) x = 0
</span>Plug this into
<span>
2) x = 2
</span>Plug this into
<span>
3) x = 4
</span>Plug this into
<span>
Problem 2
</span>The x-values are in the left column. The title of the right column tells you that the function is
<span>1) x = 0
</span>Plug this into
<span>
2) x = 2
</span>Plug this into
<span>
3) x = 4
</span>Plug this into
<span>
-------
Answers:
a = 1
b = </span>
c = </span>
d = 1
e =
f =