Step-by-step explanation:
I guess method 1 means to deal with whole factors.
x + 5 = (x - 2)(x + 5)
for (x + 5) <> 0 we can divide both sides by this factor :
1 = x - 2
x = 3
for the second solution we deal with
x + 5 = 0
x = -5
so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.
method 2 : we multiply the expression out and solve it then
x + 5 = (x - 2)(x + 5)
x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10
0 = x² + 2x - 15
the general solution to such a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -15
x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =
= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =
= -1 ± 4
x1 = -1 + 4 = 3
x2 = -1 - 4 = -5
and you get the 2 solutions again. as expected, they are the same as with method 1, of course.
There are 8 3/4 cups in 6 cups of cereal because 3/4 times 8 equals 6
15 * 2 / 6 * 18- 5 + 70 - 18 + 23 =
30/6 * 18 - 5 + 70 - 18 + 23 =
5 * 18 - 23 + 93 =
90 - 23 + 93 =
183 - 23 =
160 <==
Answer:
1st choice Music Equation: 
Superstar Music Club Equation: 
Solution: 2
Step-by-step explanation:
Given that:
1st choice music club:
Charges for one song = $1
Charges for sign - up = $5
Let the number of songs = 
Total cost = 
Superstar music club:
No sign up fee and
Charges for one song = $3.50
Total cost =
Given that, cost of each music club becomes equal:
Putting them same:
After 2 songs, the cost of both the clubs will become equal.
We have the expression 4(x + 8) + 5(x - 3).
First, expand the parentheses by using the distributive property.
4(x + 8) + 5(x - 3) = 4x + 32 + 5x - 15
Now combine like terms.
4x + 32 + 5x - 15 = 9x + 17
So, C 9x + 17 is the answer.
