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3 years ago

Which is the graph of the system of equations? x + 2y = 2 4x - y = 4

1 answer:

4 0

Solve for x for x: x+2y=2
x+2y +-2y=2+-2y (add -2y on both sides.)
x=-2y+2
Substitute : -2y+2 for x in
4x-y=4:
4(-2y+2)-y=4
-9y+8=4 Simplify both sides of the equation.
-9y+8+-8=4+-8 Add -8 to both sides.
-9y=-4
-9/-9=-4-9 Divide both sides by -9
y=4/9
Substitute 4/9 for y in
x=-2y+2
x=-2(4/9)+2
x=10/9
y=4/9,x=10/9

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What is the estimate and how do I find it out can I get the answer

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Estimate is roughly calculate or judge the value, number, quantity, or extent of the answer is 13,000

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2 years ago

The weight of an object on planet Mars is directly proportional to the weight of the object on Earth. If an object that weighs 8

tia_tia [17]

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It weighs 210

Step-by-step explanation:

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3 years ago

Read 2 more answers

A company provides a monthly pension to its employees. A person retiring at 62 retires and receives a full monthly pension. If t

IRISSAK [1]

Answer:

The reduction is 8.6%

Explanation:

Call F the full monthly pension of a person retiring at 62.

If a person continues to work the pension grows at a rate of 6% per year, compounded monthly, so use the compounded growing formula:

$Pension=F(1+r/12)^{12t}$

Where r = 6 / 100 = 0.06, and t = number of years after retirement.

For retirement at 65.5:

t = 65.5 - 62 = 3.5

$Pension=F(1+0.06/12)^{12\times 3.5}=1.233F$

For retirement at 67:

t = 67 - 62 = 5

$Pension=F(1+0.06/12)^{12\times 5}=1.349F$

Percent reduction of people who retire at 65.5 compared to what they would receive at 67:

$(1.349F-1.233F)\times 100/(1.349F)=8.6\%$

8 0

3 years ago

Write a equation for the line parallel to

Llana [10]

Paralell has same slope
y=mx+b
m=slope
b=yint

same slope so other equation is
y=4x+b

input given point
(2,0)
x=2
y=0
0=4(2)+b
0=8+b
minus 8 both sides
-8=b

the equation is y=4x-8

8 0

2 years ago

Simplify: 10 • 12 + - 15 divided by 5 + 2 (9-4)

Ket [755]

Alright. So the problem is

10*12+-15/5+2(9-4)

Lets break down what we can for now

First focus on parenthesized, multiplying, and dividing in the problem.

10*12=120 15/5=3 (9-4)=5

120+-3+2*5

So the next step, we see 2*5 and a negative -3 on top of a positive symbol.

2*5=10

120-3+10

Now subtract from the left to the right and get your answer.

120-3=117

117+10=127

7 0

3 years ago