Question:
After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the first event, they raise $240, which is 10% of the total amount that they want to raise. What is the total amount of money that Shanika and her friends want to raise?
Answer:
The total amount of money that Shanika and her friends want to raise is $2400
Step-by-step explanation:
Here we have the amount raised = $240
Also we are told that the amount raised is only 10% of the amount they want to raise
Therefore if we put the amount they want to raise as D we have
10% of D = $240
That is;
That means
Therefore, the total amount of money that Shanika and her friends want to raise = $2400.
Answer:
Step-by-step explanation:
x
2
+
x
−
6
=
(
x
+
3
)
(
x
−
2
)
x
2
−
3
x
−
4
=
(
x
−
4
)
(
x
+
1
)
Each of the linear factors occurs precisely once, so the sign of the given rational expression will change at each of the points where one of the linear factors is zero. That is at:
x
=
−
3
,
−
1
,
2
,
4
Note that when
x
is large, the
x
2
terms will dominate the values of the numerator and denominator, making both positive.
Hence the sign of the value of the rational expression in each of the intervals
(
−
∞
,
−
3
)
,
(
−
3
,
−
1
)
,
(
−
1
,
2
)
,
(
2
,
4
)
and
(
4
,
∞
)
follows the pattern
+
−
+
−
+
. Hence the intervals
(
−
3
,
−
1
)
and
(
2
,
4
)
are both part of the solution set.
When
x
=
−
1
or
x
=
4
, the denominator is zero so the rational expression is undefined. Since the numerator is non-zero at those values, the function will have vertical asymptotes at those points (and not satisfy the inequality).
When
x
=
−
3
or
x
=
2
, the numerator is zero and the denominator is non-zero. So the function will be zero and satisfy the inequality at those points.
Hence the solution is:
x
∈
[
−
3
,
−
1
)
∪
[
2
,
4
)
graph{(x^2+x-6)/(x^2-3x-4) [-10, 10, -5, 5]}
Answer:
answer is 52 cm
Step-by-step explanation:
BA = 17, BF = 6, and CG = 9
triangle sides BF and BH are congruent because they are tangent lines along the same curve
BH is equal to 6 since BF is equal to 6
this applies to CG and CF and AG and AH
CG is equal to 9
so CF is equal to 9
now we add 6 + 9 for the measurement of side CB
CB = 15
now we do the same for the other two sides
we already know BA = 17 so we subtract it from BH = 6 to find the measurement of AH
AH is equal to 11 and is tangent across the same curve as AG
AG = 11
now we add AG to CG
11 + 9 = 20
now we know all the side lengths
CB + BA + AC = Perimeter
15 + 17 + 20 = 52
Perimeter of triangle BCA = 52
I don't know why I went through all the trouble if I know no one is going to see this :'(. I just thought the other guy gave the wrong reasons
