Answer:
(2x+3)(x - 1)
Step-by-step explanation:
Since there is no common number to factor by we must approach this problem differently:
Step 1:
Multiply leading coefficient (2) by the constant term (-3)
2 x -3 = -6
Step two:
Find two numbers that multiply to -6 but add to the middle coefficient (1).
You should find these numbers to be 3 and -2
Step 3:
Replace 1x in the equation with your found numbers
2x^2 - 2x + 3x - 3
Step 4:
Take out the greatest common factor from the first two numbers, and the last two numbers.
For 2x^2 - 2x the greatest common factor would be 2x
For 3x - 3 the greatest common factor would be 3.
Step 5:
Factor out the found common factors
2x(x-1) + 3(x-1)
The values inside the bracket should be the same.
Step 6:
Factor out (x-1)
(x - 1)(2x + 3)
Therefore the factored form is (2x + 3)(x - 1)
Answer:
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg
Step-by-step explanation:
Let
x=nuts at $2.50 per kg
y=cereal at $1 per kg
x+y=60 kg (1)
2.50x+y=1.40(60) (2)
From (1)
x=60-y
Substitute x=60-y into (2)
2.50x+y=1.40(60)
2.50(60-y)+y=84
150-2.5y+y=84
-1.5y=84-150
-1.5y=-66
Divide both sides by -1.5
y=44 kg
Substitute y=44 into (1)
x+y=60
x+44=60
x=60-44
=16
x=16 kg
Answer:
225
Step-by-step explanation:
If you move the bottom triangle up (as shown in the picture) it's not actually a square. And they haven't provided you with enough information to solve for anything unless there are still unknown values. You would need to know at least another leg length or angle. If they want the actual value in square millimeters, my best guess is that it's <em>supposed </em>to be a square. Since a square has sides of the same length, the area would be 15 * 15 which is 225.
Answer:
The answer would be 13yz+12+2yxz
Step-by-step explanation:
13yz+9+2yxz+3
Optional step: Put the like-terms by eachother to make it easier
13yz+9+3+2yxz
Then combine like-terms!
13yz+12+2yxz!!
If this helped, marking as brainliest would really help :)
Have a nice day!!
Answer:
17
Step-by-step explanation:
6ft and 2 in === 74 in
4ft and 9 in === 57 in
74-57 = 17 in
