Answer:
1) 2m + 3m2 - 4m=7
7) 3m2 – 2m + 4m= 11
8) 20 + 109 + 39 - 4= 164
3) 2m + 4m - 3m2= -3
9) 4xy + x + 2xy= 0
4) 2y + 14x - 7x + 9y= 18
10) 6m2 - 6m - 9m2= -51
Step-by-step explanation:
Answer:
The vertex is (2, 3)
Step-by-step explanation:
This is because the parent equation for problems like these is y=a(x-h)2 +k. The vertex is found through (h, k) and so with 2 as H and 3 as K, the vertex is (2,3).
Answer:
Part a. The graph does not model a proportional relationship.
Part b. The values in table model a proportional relation.
3.5 minutes per mile.
Step-by-step explanation:
Part a.
The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.
That is why the rate of change of distance with time is not constant.
Therefore, the graph does not model a proportional relationship.
Part b.
If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.
So, the values in the table model a proportional relation.
Now, Tarik's unit rate in minutes per miles will be
minutes per mile. (Answer)
Answer:
She need <u>96 square feet</u> carpet to cover the room.
Step-by-step explanation:
Given:
Tina covers the floor of a room with carpeting. She uses carpet squares that measure one foot on each side.
Now, to find carpet squares does she need to cover a room that 8 feet wide by 12 feet long.
So, the dimensions of room are:
Length = 12 feet.
Width = 8 feet.
Now, getting the area by putting formula:
<u><em>Area of room = Length × width</em></u>


Therefore, she need 96 square feet carpet to cover the room.
Answer:
B) shift 3 units left and 4 units down