The greatest common factor is the biggest number that divides evenly into each one of the numbers without a remainder...the only thing that's different about our situation is that we have variables in addition to regular number (but the same logic applies...we need to find the biggest variable that goes into k^4 , k^3 , and k^2 ).
The biggest number that goes into 15, 35 and 20 is the number 5. The biggest variable that goes into k^4 , k^3 , and k^2 is k^2
Combining the number and the variable, we get that the greatest common monomial factor is 5k^2
Since area is length x width, and we just figured out that width is 5k2 , all we have to do to find length is divide 15k4+35k3+20k2 by 5k2 , and we get that the length is 3k^2+7k+4
So the width is 5k^2 and the length is 3k2+7k+4
:))
-Eli
For this case we have the following system of equations:
2x-4y = -6
3x + 2y = -1
Step 1:
We rewrite equation 2:
2x-4y = -6
6x + 4y = -2
Step 2:
We add both equations:
8x = -8
Step 3:
We clear x:
x = -8/8
x = -1
Step 4:
We use any equation and we clear y:
3x + 2y = -1
2y = -1-3x
y = -1 / 2 - (3/2) * x
y = -1 / 2 - (3/2) * (- 1)
y = -1 / 2 + (3/2)
y = 2/2
y = 1
Answer:
x = -1
y = 1
Answer:
Step-by-step explanation:
Givens
Let a = the first number
Let b = the second number
Equations
a + b = 39
b = 1/2 * a + 6
Put the second equation into the first one
a + 1/2 * a + 6 = 39 Simplify the left.
(3/2)a + 6 = 39 Subtract 6 from both sides
(3/2)a + 6 - 6 = 39 - 6 Combine
(3/2)a = 33 Multiply both sides by 2
3a = 33*2
3a = 66 Divide both sides by 3
3a/3 = 66/3
a = 22
b = 1/2 a + 6
a = 22
b = 1/2 * 22 + 6
b = 11 + 6
b = 17
Check
22 + 17 = 39
Answer:
1.60 per 1 gallon
Step-by-step explanation:
hope this helps
