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alex41 [277]
3 years ago
7

Graph the equations to solve the system y= 1/2x + 6 y = -1/2x + 4

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Answer:

y=5, x=-2

Step-by-step explanation:

From the graph (attached), we can see that y=5, x=-2.

We can also solve system through algebra. (the easier and faster way)

y=1/2x+6

y=-1/2x+4

Substitute y with the first equation.

1/2x+6=-1/2x+4

1/2x+1/2x=4-6

x=-2

Then, substitute x with -2 in the equation.

y=1/2(-2)+6

y=-1+6

y=5

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7,500 to 8,200
ladessa [460]
The percent of change will be a percentage increase because we go from a smaller number to a larger number. To find a percentage increase, we will use the percentage increase formula:

% increase = final value - original value / original value x 100

Substituting the values in:

% increase = (8,200) - (7,500) / 7,500 x 100, where 8,200 is the new value and 7,500 is the original value.

Simplification after multiplication: 700 / 7,500 x 100

Simplification after division: 0.093 x 100

Simplification after multiplication of 100: 9.333%.

We can round 9.333% down to 9%.
5 0
2 years ago
During the summer, Bethany mows lawns and Grant is a waiter at a coffee shop. To show their earnings, Bethany makes a graph and
arsen [322]

grant earns 1.15 more than bethany

6 0
3 years ago
Read 2 more answers
A parallelogram has sides 8 ft and 6 ft and an area of 54 ft 2. What is the length of the
Colt1911 [192]

Step-by-step explanation:

there is something wrong with your question.

there is no parallelogram with 8 and 6 ft side lengths that has an area of 54 ft².

the maximum area of a parallelogram with 8 and 6 ft side lengths is 48 ft². and that is a rectangle 8×6 as a special form of a parallelogram.

the area of any parallelogram is calculated

Ap = base length × height

and height is the length of the line perpendicular to the base line to one of the corners on the opposite side (as long as the base line).

if Ap = 54, and the base length is 8, this means

54 = 8 × height

height = 54/8 = 6.75 ft

but the height can only be the length of a side connected to the base line or less. not longer.

and in our example here, this connected side is 6. so, the height can only be 6 or less. not 6.75.

so, there must be something wrong with your numbers.

once you get the actual numbers, use my approach above with them (replace whatever number is wrong here by the true value).

8 0
2 years ago
Are these two equations equivalent
zzz [600]

No because if you look at it flipped and do 100/4=25 then 100/5= 20 so 20 and 25 aren’t the same

4 0
3 years ago
How do you solve the equation in detail :: 12(2w-3)=6w
Daniel [21]
12(w-3)=6w

Distrubute the 12
12(2w)-12(3)=6w
24w-36=6w
Subract 24w from both sides
-36=6w-24w
-36=-18w
Divide both sides by -18
w=2
8 0
2 years ago
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