Answer:
Step-by-step explanation:
the factors of 24 are all the numbers u multiply together to get 24
1 * 24 = 24....so 1 and 24 are factors
2 * 12 = 24....so 2 and 12 are factors
3 * 8 = 24.....so 3 and 8 are factors
4 * 6 = 24.....so 4 and 6 are factors
so the factors of 24 are : [ 1,2,3,4,6,8,12,24]
Well, we know that the x-intercepts are (0,2) and (0,4). That means that the midpoint is just (0,3)
You can also use the midpoint formula:
If you thought my answer helped and was correct, please label my answer the brainliest for others to see.
Answer:
z = x^3 +1
Step-by-step explanation:
Noting the squared term, it makes sense to substitute for that term:
z = x^3 +1
gives ...
16z^2 -22z -3 = 0 . . . . the quadratic you want
_____
<em>Solutions derived from that substitution</em>
Factoring gives ...
16z^2 -24z +2z -3 = 0
8z(2z -3) +1(2z -3) = 0
(8z +1)(2z -3) = 0
z = -1/8 or 3/2
Then we can find x:
x^3 +1 = -1/8
x^3 = -9/8 . . . . . subtract 1
x = (-1/2)∛9 . . . . . one of the real solutions
__
x^3 +1 = 3/2
x^3 = 1/2 = 4/8 . . . . . . subtract 1
x = (1/2)∛4 . . . . . . the other real solution
The complex solutions will be the two complex cube roots of -9/8 and the two complex cube roots of 1/2.
Answer:
200 people were at the stadium
Step-by-step explanation:
Let us represent the total number of people at the stadium = x
At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium
Hence:
5% of total number of people = 10 teenagers
5/100 × x = 10
5x/100 = 10
Cross Multiply
5x = 100 × 10
5x = 1000
Divide both sides by 5
5x/5 = 1000/5
x = 200
The total number of people in the stadium is 200
15/x = 40/100. Cross multiply to get 1500 = 40x. Divide by 40 on both because you want to isolate the variable. The idem would originally cost $37.50. To check your answer you would substitute your equation and get 15/37.5 = 40/100. Just so you know a decimal can be in a fraction. Cross multiply to get 1500 = 1500. <span />