<span>60
Sorry, but the value of 150 you entered is incorrect. So let's find the correct value.
The first thing to do is determine how large the Jefferson High School parking lot was originally. You could do that by adding up the area of 3 regions. They would be a 75x300 ft rectangle, a 75x165 ft rectangle, and a 75x75 ft square. But I'm lazy and another way to calculate that area is take the area of the (300+75)x(165+75) ft square (the sum of the old parking lot plus the area covered by the school) and subtract 300x165 (the area of the school). So
(300+75)x(165+75) - 300x165 = 375x240 - 300x165 = 90000 - 49500 = 40500
So the old parking lot covers 40500 square feet. Since we want to double the area, the area that we'll get from the expansion will also be 40500 square feet. So let's setup an equation for that:
(375+x)(240+x)-90000 = 40500
The values of 375, 240, and 90000 were gotten from the length and width of the old area covered and one of the intermediate results we calculated when we figured out the area of the old parking lot. Let's expand the equation:
(375+x)(240+x)-90000 = 40500
x^2 + 375x + 240x + 90000 - 90000 = 40500
x^2 + 615x = 40500
x^2 + 615x - 40500 = 0
Now we have a normal quadratic equation. Let's use the quadratic formula to find its roots. They are: -675 and 60. Obviously they didn't shrink the area by 675 feet in both dimensions, so we can toss that root out. And the value of 60 makes sense. So the old parking lot was expanded by 60 feet in both dimensions.</span>
Answer: D
Step-by-step explanation:
The graph is narrower, so the coefficient of has an absolute value more than 1.
Also, because g(x) opens down, the coefficient of is negative.
This leaves D as the answer.
B. four times the value of y = the value of y+9
Answer:
1. No solution
2. Infinite solutions
Step-by-step explanation:
1. To solve the system, set the equations equal to each other and solve for x.
2x - 5 = 2x + 7
-5 = 7
This is a false statement. This means there is no solution.
2. To solve the system, graph each equation.
y = -3/4 x - 5/2 has a y-intercept -5/2 and slope -3/4.
3x + 4y = -10 converts to y = -3/4x -5/2.
This graphs as the exact same line. This system has infinite solutions.
Answer:
1944 cubic cm
Step-by-step explanation:
Find the answer by figuring out the volumes independently for each figure. After doing that, add both volumes together to get the full volume.
Bottom figure: 1440 cubic cm
Top figure: 504 cubic cm
Add those together: 1944 cubic cm