Answer:
-4 and -2
Step-by-step explanation:
First find all the factors of 8, that would be 1 and 8, -1 and -8, 2 and 4, and -2 and -4.
Then, adding the groups of numbers you have should show you what would equal -6. So 1 + 8 = 9, -1 + (-8) = -9, same vice versa, 2 + 4 = 6, -2 + (-4) = -6. So -2 and -4 would be your two numbers.
First you subtract the two equations
x^2-2x+3-6x
You simplify that and get
x^2+4x+3 = 0
Now we solve using the quadratic formula.
We get x = -1 and x = -3.
Now we find the y values by plugging the x values into the equation.
f(x) is the same as y.
y = (-1)^2 - 2(-1) + 3
y = 1+2+3
y = 6
Now for the other x value.
y = (-3)^2 - 2(-3) + 3
y = 9+9
y = 18
So the two ordered pairs are (-1,6) and (-3,18)
Answer:
13, 14, 15
Step-by-step explanation:
Let x = age of one of the siblings
Since the age of the siblings are consecutive integers, the age of the next sibling would be x + 1 and the age of the third sibling would be x + 2
x +( x +1) + (x +2) = 42
3x + 3 = 42
collect like terms and solve for x
x = 13
The age of the first sibling is 13
The age of the second sibling is x + 1 = 13 + 1 = 14
The age of the third sibling is x + 2 = 13 + 2 = 15
Answer:
12
Step-by-step explanation:
There are many ways to approach this problem. I like a method that uses the least amount of computation. We could figure how much Wendy makes on a bag of chips, the additional amount Wendy wants to make, then divide the latter by the former to find the number of additional bags to sell.
We could use a proportion to figure the number of bags corresponding to $126 in earnings, then subtract the 72 bags already sold. Essentially, we will do this, but without the intermediate numbers.
__
The additional fraction of 72 bags will be ...
(126/108) -1 = 18/108 = 1/6
Then Wendy must sell an additional ...
(1/6)×(72 bags) = 12 bags
to increase her earnings to $126.
Answer:y=3x+6
Step-by-step explanation:
