Answer:
(x - 5)(x + 3)
Step-by-step explanation:
to solve x² - 2x = 15, we need to get all the terms on one side so we can solve the quadratic equation using factoring. to do this, we subtract 15 from both sides
x² - 2x = 15
- 15 -15
x² - 2x - 15 = 0
now we can factor. we need 2 numbers that when multiplied together give us -15, and when those 2 numbers are added together we get -2
because we have a -15, we can assume that one number must be negative and the other positive, as a negative times a postive is a negative.
we can use 3 and -5 as factors and test it out. we put x in front because we have an x²
(x - 5)(x + 3) < we can FOIL to check to see if this is correct. its not mandatory to check but when you arent sure of the answer you can FOIL it out
FOIL stands for: First, Outside, Inside, and Last terms
F: (x - 5)(x + 3) = x²
O: (x - 5)(x + 3) = -3x
I: (x - 5)(x + 3) = 5x
L: (x - 5)(x + 3) = -15
x² + 3x - 5x - 15 < subtract 3x from 5x
x² - 2x - 15
this checks out, so our answer is (x - 5)(x + 3)
You would basically go back and trace all your steps, that's what I do. And if your answer seems reasonable then you have the right answer but if your work doesn't match the answer than you've messed up.
I hope I helped if I did like my answer and comment down below thx
Answer:
Mr K purchased 6 chicken sandwiches and 6 pizza slices.
Step-by-step explanation:
Let Mr. K purchased number of chicken sandwiches = x
and number of pizza slices = y
Since total number of dancers = 12
then the equation will be
x + y = 12 --------(1)
Mr K. spent total amount = $72
Therefore, equation to purchase x sandwiches, y pizza slices and 12 drinks will be
6x + 3y + 1.5×(12) = 72
6x + 3y + 18 = 72
6x + 3y = 54
2x + y = 18 -------(2)
We subtract equation (1) from (2)
(2x + y) - (x + y) = 18 - 12
x = 6
from equation (1)
6 + y = 12
y = 6
Therefore, Mr K purchase 6 chicken sandwiches, 6 pizza slices.
Since C is 61 degrees, A is 90 degrees because of the right angle, and B would be 29 degrees because you add 61 and 90 together and subtract that amount from 180.
Wait I'm sorry if this is what you aren't looking for-
I think that is the answer
