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tangare [24]
3 years ago
12

1. Does the table below show a proportional relationship? If so, what is the constant of proportionality?

Mathematics
1 answer:
juin [17]3 years ago
3 0
It shows a linear non-proportional relationship meaning there is a y-intercept meaning it is not proportional. The y-intercept is 5 since the slope is x, (1) so subtracting 1 from 6 we get 5 and 1-1=0. (x, y) (0,5). Your y-intercept is when X is zero, it is where the line cuts the y-axis. From there is increases by 1 for both x and y. For 4 it would be 9 (4,9).
The equation is,
Y=mx+b ==> m=slope b= y-intercept
Y= x+5 or
Y=1x+5
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1)
almond37 [142]

Radio Barn : 200 + .15 x  x = the weekly sales

Woofer: 300 + .10x

set them equal to find when they are them same

200 + .15x = 300 + .10x

subtract .10x from both sides

200 +.15x -.10x = 300 + .10x-.10x

200 +.05x = 300

subtract 200 from each side

200+.05x -200 = 300-200

.05x = 100

divide each side by .05

.05x/.05 = 100/.05

x =2000

The 2 jobs pay the same when the weekly sales are 2000 dollars


2.  {x - 5 = -y}

{2y - 10 = -2x}

x-5 = -y

add 5 to each side

x = -y+5

multiply each side by -2

-2x = 2y -10

the 2 equations are the same, it has an infinite number of solutions

The system is dependent  since the 2 equations are the same line


3.  {2x = y - 7}

{4x - 2y - 14 = 0}

2x = y-7

subtract y-7 from each side

2x - (y-7) = 0

2x -y+7 =0

multiply by 2

4x -2y +14 =0

subtract the two equations

4x -2y +14 =0

4x - 2y - 14 = 0

---------------------------

               28 = 0

since this cannot happen   the lines will never cross ( parallel lines)

the system is inconsistent

5 0
2 years ago
How do i write this as an equation $6 $54 $168
Vlad1618 [11]

Answer:

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8 0
3 years ago
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What is 90x10 free brainlest and points
ss7ja [257]

Answer:

900

Step-by-step explanation:

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8 0
2 years ago
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If Rs 42,000 is left after paying an income tax at the rate of 30%.Find the income
Naddika [18.5K]

Answer:

Total income is 60,000

Step-by-step explanation:

I. if paid rate is 30%, that's mean 42,000 is 70%

II. Perform ratio 70/100 = 42,000/x

                       70*x = 100 * 42,000

                        70x = 4,200,000

                            x = 60,000

III. If you perform 30/100 = x/60,000 will be 42,000

Sorry for late.

                       

5 0
2 years ago
Whats 123456+65432134
Flauer [41]

Answer:65555590

Step-by-step explanation:

7 0
2 years ago
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