Answer:
The slope is -2
Step-by-step explanation:
(0,4) (3,-2)
remeber the equation is Y2-Y1/X2-X1
Y2 = -2
Y1 = 4
X2=3
X1=0
Plug it in the euqation to see if it works
Answer: 272 square feet
Step-by-step explanation:
We must find the total area of the backyard then subtract the area of the not allowed area from it. Clearly, the length and width of the backyard is 22 and 17ft respectively, so the total area is 22*17=374ft^2.
The restricted space can be seen as two rectangles, both with width 3 and length 17, making their area 2(17*3) =102
374-102= 272
Your answer is 35.75%.
Let’s pretend something at the store is $100. (It will save some math later)
100 - 35% leaves 65% (0.65 as a decimal)
100 x 0.65 = 65
That’s the price after the first discount. If we take 45% off of the sale price, we’ll be left with 55%, 0.55
65 x 0.55 = $35.75
Now normally you’d compare 35.75(sale price)/ 100(original price) to % off (x)/100, but doe this example, it’s unnecessary.
35.75/100 = x%/100
Answer:
x=2, y=-3
Step-by-step explanation:
This type of problems is called a system of equations, or simultaneous equations.
When solving simultaneous equations, you need to first make sure you have two unknown terms of the same number but different signs - this is so one unknown cancels out because we can only solve when there's one unknown. We already have this ('2y' and '-2y'). Now we just add the 'x's, the 'y's and the numbers:
2x+2y=-2
3x-2y=12
(2x+3x)+(2y-2y)=(-2+12)
5x=10
x=2
Now that we know the value of x, use it to find y:
2x+2y=-2
2(2)+2y=-2
4+2y=-2
2y=-6
y=-3
The statements that are correct are A and E. A because the y-intercept for y=5x+12 is 12 and the table of values it is 5. E is correct because the rate of change for the table of values is 24 and y=5x+12, it is 5.
