Answer: x = -5, 3/2 y = 10, 7/2
Explanation:
y = 2x^2 + 6x - 10 (1)
y = - x + 5 (2)
=> 2x^2 + 6x - 10 = - x + 5
2x^2 - 7x - 15 = 0
(2x - 3)(x + 5) = 0
=> 2x - 3 = 0
2x = 3
x = 3/2
=> x + 5 = 0
x = -5
According to (2):
y = -x + 5
y = -(-5) + 5
y = 5 + 5 = 10
y = -x + 5
y = -(3/2) + 5
y = -(3/2) + 10/2
y = 7/2
You use the FOIL method, and how you do this is -
(x - 7) (x + 8)
Multiply the first x by both numbers in the second factor. Which means, you multiply x by x and 8, the two in (x + 8).
With this, you get -
x^2 + 8x
Then do the same thing with -7.
-7x - 56
Then combine the two.
x^2 + 8x - 7x - 56
Combine like terms.
x^2 + x - 56
So now, 7 x 8 is 56
And -7 + 8 would be 1. And that is the value of “x” which is b in the form a^2x + bx + c.
Now with this, you take those two numbers and make the factors =
(x + 8) (x - 7)
Then you set these equal to 0.
x + 8 = 0
Subtract the 8 from both sides.
x = -8
————
x - 7 = 0
Add the 7 on both sides.
x = 7
Answer: A
Answer:
Adult tickets sold= 9x4 = 36
Senior tickets sold = 9x3= 27
Child tickets sold = 9 x 1 = 9
Step-by-step explanation:
If the parts for adult tickets changed within the 2 ratios given, we should have equated Ratio further. But here that is not 5e case. So, put both ratios together:
Senior:Adult:Child
3:4:1
Now,
Total number of parts 3+4+1=8
Number of tickets sold per part = 72/8 = 9
Therefore number of
Adult tickets sold= 9x4 = 36
Senior tickets sold = 9x3= 27
Child tickets sold = 9 x 1 = 9
Hope this helps.
Good Luck
Answer:
Step-by-step explanation:
i got it correct:)
Act like it's a whole circle and find the perimeter, then divide by 2.
P = 2 * pi * r
P = 2 * 3.14 * 9
P = 56.52
Now divide by 2:
P = 28.26