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kondaur [170]
3 years ago
15

Write an equation in slope - intercept form, and then find the slope and y- intercept 3x-y=14

Mathematics
1 answer:
NeX [460]3 years ago
3 0

Answer:

slope-intercept form: y = 3x - 14

slope: 3

y-intercept: -14

Step-by-step explanation:

To find the equation in slope-intercept form, isolate the "y" variable by moving everything to the other side. Slope-intercept form looks like y = mx + b.

"x" and "y" mean points that are on the line.

"m" is the slope.

"b" is the y-intercept.

Rearrange the equation to isolate "y"

3x - y = 14

3x - 3x - y = 14 - 3x          Subtract 3x from both sides

-y = 14 - 3x          Multiply both sides by -1.

y = -14 + 3x          Put "3x" in front of "-14" because it has the 'x'

y = 3x - 14          Looks like y = mx + b

State the "m" and "b".

m = 3     (Slope of the line)

b = -14    (y-intercept of the line)

Therefore the equation of the line in slope-intercept form is y = 3x - 14. The slope is 3 and the y-intercept is -14.

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Answer:

- attached graph

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Step-by-step explanation:

- Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote

y = -4^(x-4) + 5

  = -4^(4-4) + 5

  = -4^(0) + 5

  = -1 + 5

  = 4

y = -4^(x-4) + 5

  = -4^(5-4) + 5

  = -4^(1) + 5

  = -4 + 5

  = 1

7 0
2 years ago
How many hundredths in 1 whole
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One hundred hundredths make up one whole.
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What number is 12% of 53
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8 0
3 years ago
On your wedding day you leave for the church 34 minutes before the ceremony is to begin, which should be plenty of time since th
Schach [20]

Answer:

Average speed   is 37.35 mi/h

Step-by-step explanation:

given data

leave =  34 minutes before

church distance =  12.0 miles

average speed first 17 minutes =  5.0 mi/h

solution

so we find Total distance travel in first 17 minutes = speed × time

Total distance travel in first 17 minutes = 5 × \frac{17}{60}

Total distance travel in first 17 minutes = 1.416 mi

and

Distance Remaining = 12 - 1.416 = 10.584 mi

Time Remaining = 34 - 17 min = 17 min

so

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Average speed  = \frac{10.584}{\frac{17}{60}}

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3 0
3 years ago
Suzie's Nursery is having a sale on two kinds of plants, venus fly traps and bonsai trees.
ANTONII [103]

Answer:

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Bonsai tree = 17

Step-by-step explanation:

Given that :

Venus fly trap = $3per plant

Bonsai tree = $5 per plant

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Let venus fly trap = x ; bonsai tree =y

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x = 29 - y

In (2):

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Hence,

Venus fly trap = 12

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7 0
2 years ago
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