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hichkok12
2 months ago
6

Find a solution to the linear equation y=8x−32 by filling in the boxes with a valid value of x and y.

Mathematics
2 answers:
Leona [12.6K]2 months ago
5 0
Here are the answers provided below. I've created a table with various prospective values for x and y. I also included a graph of the equation to illustrate the corresponding points. If the answers seem accurate, I would appreciate it if you could consider me for Brainliest!
zzz [12.3K]2 months ago
5 0
To find a solution, let's arbitrarily select x = 2. Then, y can be calculated as y = 8(2) - 32, leading to y = 16 - 32, giving us y = -16. Thus, (2, -16) represents one of the countless solutions to the equation y = 8x - 32.
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Determine the rate of change for the equation.<br> 6y = 8x - 40
Leona [12618]
The answer is 4/3, which represents the rate of change. Going up 3 and moving over 4.
4 0
2 months ago
Megan's room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed. part a)
Zina [12379]

Response: a) \frac{175}{100}xy\\\\=1.75xy\\\\

b)  The area has grown by 0.75 square meters.

Detailed breakdown:

Let the room's length be l

Let the room's breadth be 'b'

The area of a rectangle is calculated using the formula:

Area=Length\times breadth\\\\Area=l\times b

Per the problem, the room's new area equals 175% of its old area.

Thus, a) The new area of the room is determined as

\frac{175}{100}xy\\\\=1.75xy\\\\

This indicates a 175% increase in the room's length, resulting in a 175% increase in area.

b) The increase in square meters for Megan's room area is

1.75xy-1xy=0.75\\\\\text{So, by 0.75 square meters the new area is increased.}


7 0
1 month ago
George is 1.94 meters tall and wants to find the height of a tree in his yard. He started at the base of the tree and walked 10.
Leona [12618]
Create a visual representation to depict the situation outlined below.

Let h signify the height of the tree.

Since ΔABC is similar to ΔADE, it follows that
DE/BC = AD/AB

This means that
h/1.94 = (5.1 + 10.2)/5.1 = 3
Consequently, h = 1.94*3 = 5.82 m

Final result: 5.82 m

7 0
2 months ago
Two towns accumulated different amounts of snow. In town 1, the snow depth is increasing by 3 1/2 inches every hour. In town 2 t
tester [12383]

a=2+6t, b=10+2t

a=b when

2+6t=10+2t  subtract 2t from both sides

2+4t=10  subtract 2 from both sides

4t=8  divide both sides by 4

t=2

Thus, they will have the same amount of snowfall after two hours

hope i helped

6 0
2 months ago
The average height of a class of 18 students is 105 cm After arrival of 7 new students the
Svet_ta [12734]

Total students enrolled = 18 + 7 = 25

Mean height of these 25 students = 105 - 5 = 100 cm


Total height of all students combined = 100 x 25 = 2500cm


Final answer: 2500cm

3 0
1 month ago
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