To solve this problem we can find the area of the whole rectangle, then find the area of the smaller white rectangle inside the whole rectangle. Lastly, we can subtract the area of the smaller rectangle from the area of the whole rectangle which leaves us with the area of the shaded region.
Area of whole rectangle = length x width
= (3x + 6) (2x + 4)
= 6x squared + 24x + 24
Area of small rectangle = length x width
= (x-3) (x - 1)
= x squared - 4x + 3
Area of shaded region = area of whole rectangle - area of small rectangle
= 6x squared + 24x + 24 - x squared + 4x - 3
= 5x squared + 28x + 21
Answer:
y= -4x - 5
Step-by-step explanation:
5 is your y-intercept
Answer:
No
Step-by-step explanation:
Say the price of 1 apple is x and the price of 1 orange is y. Then, we can write the two equations:
4x + 4y = 10
6x + 6y = 15
We can try to solve this by elimination, which means getting rid of one variable so that we're left with only 1 variable to solve for. Multiply the top equation by 3 and the bottom equation by 2:
3 * (4x + 4y) = 10 * 3 ⇒ 12x + 12y = 30
2 * (6x + 6y) = 15 * 2 ⇒ 12x + 12y = 30
Subtract the bottom equation from the top:
12x + 12y = 30
- 12x + 12y = 30
______________
0 + 0 = 0
Since we result in 0 = 0, that means any values of x and y we put into the equations will work, so we cannot find a unique price.
Hope this helps!
Step-by-step explanation:
30/42 = 25/6x-1
180x - 30 = 1050
180x = 1020
x = 5.67
Answer:
Step-by-step explanation:
1,2,3,4
