Answer:
Step-by-step explanation:
-3x + 3y = 6.......(1)
y= 4x + 5............(2)
Putting (2) in (1)
-3x + 3(4x + 5) = 6
-3x + 12x + 15 = 6
9x = 6 -15
9x = -9
x = -9/9
x = -1
Putting x in (2)
y= 4x + 5
y = 4(-1) + 5
y = -4 + 5
y = 1
Answer:
-0.6
Step-by-step explanation:
2.8-0.6=2.2
2.2-0.6=1.6
1.6-0.6=1
Please mark as Brainliest! :)
Have a nice day.
Answer:
![Length=8inches\\Width=7.5 inches](https://tex.z-dn.net/?f=Length%3D8inches%5C%5CWidth%3D7.5%20inches)
Step-by-step explanation:
Let the width of the rectangle be 'w' inches
Length of the rectangle= (2w-7) inches
Area of the rectangle= ![60 inches^2](https://tex.z-dn.net/?f=60%20inches%5E2)
Area of the rectangle= Length*Width
![60=(2w-7)(w)\\\\60=2w^2-7w\\\\2w^2-7w-60=0](https://tex.z-dn.net/?f=60%3D%282w-7%29%28w%29%5C%5C%5C%5C60%3D2w%5E2-7w%5C%5C%5C%5C2w%5E2-7w-60%3D0)
Making the factors of the equation:
![2w^2+8w-15w-60=0\\\\](https://tex.z-dn.net/?f=2w%5E2%2B8w-15w-60%3D0%5C%5C%5C%5C)
Taking common from the equation;
![2w(w+4)-15(w+4)=0\\\\(w+4)(2w-15)=0](https://tex.z-dn.net/?f=2w%28w%2B4%29-15%28w%2B4%29%3D0%5C%5C%5C%5C%28w%2B4%29%282w-15%29%3D0)
![w+4=0\\\\w=-4](https://tex.z-dn.net/?f=w%2B4%3D0%5C%5C%5C%5Cw%3D-4)
OR
![2w-15=0\\2w=15\\w=15/2\\w=7.5inches](https://tex.z-dn.net/?f=2w-15%3D0%5C%5C2w%3D15%5C%5Cw%3D15%2F2%5C%5Cw%3D7.5inches)
As the width of the rectangle cannot be negative, so,
![Width(w)= 7.5 inches](https://tex.z-dn.net/?f=Width%28w%29%3D%207.5%20inches)
![Length=2w-7=2(7.5)-7=15-7=8 inches](https://tex.z-dn.net/?f=Length%3D2w-7%3D2%287.5%29-7%3D15-7%3D8%20inches)
![Length=8inches\\Width=7.5 inches](https://tex.z-dn.net/?f=Length%3D8inches%5C%5CWidth%3D7.5%20inches)
Answer:
Correct option: third one -> X > 100
Step-by-step explanation:
The equation for the price of Richard's Rental Car is:
P1 = 55 + 0.25*X
The equation for the price of Freddy's Rental Car is:
P2 = 45 + 0.35*X
To find for how many miles will the total charge of Richard be less than Freddy, we have that P1 < P2, so:
55 + 0.25*X < 45 + 0.35*X
0.25*X - 0.35*X < 45 - 55
-0.1*X < -10
0.1*X > 10
X > 100
Correct option: third one
As you can see in the graph, the two lines are parallel; there is no solution to this system of equations.