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Ugo [173]
1 year ago
7

The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equatio

n of the line. Is he correct? Explain how to check if a point is on a line
Mathematics
2 answers:
elena-s [515]1 year ago
6 0

Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.



mafiozo [28]1 year ago
6 0
Y = -275x + 3500
(6,1850)....x = 6 and y = 1850
now we sub
1850 = -275(6) + 3500
1850 = - 1650 + 3500
1850 = 1850 (correct)

so yes, (6,1850) is a point on the line
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They are perpendicular because they have slopes that are opposite reciprocals of −2 and one half.

Step-by-step explanation:

This is because x = -2 and half of -2 is 1

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Jabari is thinking of three numbers. The greatest number is twice as large as the least number. The middle number is three more
Likurg_2 [28]

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  18, 21, 36

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Let L represent the least number. Then the greatest is 2L and the middle number is (L+3). Their sum is ...

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The numbers are 18, 21, and 36.

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1 year ago
A torch and a battery cost £2.50 altogether. The torch costs £2.00 more than the battery.
Genrish500 [490]

Answer:

\frac{1}{10}

Step-by-step explanation:

Let t represent the cost of the torch and b represent the cost of the battery.

The torch and a battery cost £2.50 altogether.

\Rightarrow t+b=2.50

The torch costs £2.00 more than the battery.

\Rightarrow t=b+2.00

We substitute the second equation into the first equation to get;

\Rightarrow b+2.00+b=2.50

\Rightarrow 2b=2.50-2.00

£2.50

\Rightarrow 2b=0.50

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The price of the battery is £0.25

We express this as a fraction of the total cost which is £2.50 to get;

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2 years ago
Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0,
lesya692 [45]

Answer:

A line passing through the points (-1,-4),(0,0) and (1,4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

Part 1) A line passing through the points (-4,0) and (0,-2)

This line not represent a direct variation, because the line not passes through the origin.

Part 2) A line passing through the points (-5,4) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 3) A line passing through the points (-4,-6) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 4) A line passing through the points (-1,-4),(0,0) and (1,4)

The line passes through the origin

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k=y/x

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k=4/1

k=4

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y=4x

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