Answer:
x=2
y=3
Step-by-step explanation:
y=−2x+7
y=5x−7
Set the two equations equal since they are both equal to y
−2x+7
=5x−7
Add 2x to each side
-2x+7+2x = 5x-7+2x
7 = 7x-7
Add 7 to each side
7+7 = 7x-7+7
14 =7x
Divide by 7
14/7 = 7x/7
2 =x
Now find 7
y = 5x-7
y = 5(2) -7
y = 10-7
y = 3
Divide the numerator by the denominator so for example if you had 1/2 you would divide 1 by 2 to get 0.5
Width=w
length=(40-2w)/2=20-w
A=w(40-w)
A=40w-w²
A'=40-2w=0
2w=40
w=20
20x20 is the size of the pen having the greatest area. this tells us the largest rectangle for a given perimeter is a square
Explanation: The base of the power in the original equation becomes the base of the log. So we have
. Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.
So we have
=
which is 2³ = 8 written in logarithmic form.