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goldenfox [79]
3 years ago
11

Find the equation of the linear function represented by the table below in slope-

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0
Answer-

y = -1x or y = -x

Explanation-

Step 1: Look for a pattern in the x column and the y column.

X = -1, 3, 7, 11
(The pattern is that you add 4 with every number)

Y= 0, -4, -8, -12
(The pattern is that you subtract 4 with every number)

Step 2: Create and (if needed) simplify the slope

Slope = y/x

Slope -> -4/4

Simplified Slope -> -1

Step 3: Put it in slope-intercept form

Slope-intercept form -> y = mx + b

y = -1x + 0 -> y = -1x or y = -x
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A train leaves Philadelphia at 2:00 PM. A second train leaves the same city in the same direction at 4:00 PM. The second train t
polet [3.4K]

Answer: First train speed shall be 42 mi/hr

Second train speed shall be 84 mi/hr

Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.

Step-by-step explanation:

What is the 1st train's head start in miles?

Let +s+ = the speed of the 1st train in mi/hr

From 2PM to 4PM is 2 hrs

+d%5B1%5D+=+s%2A2+

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

Let +d+ = distance the 2nd train travels until

it overtakes the 1st train

From 4PM to 6PM is 2 hrs

Start time when the 2nd train leaves

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

Equation for 1st train:

(1) +d+-+2s+=+s%2A2+

Equation for 2nd train:

(2) +d+=+%28+s%2B42+%29%2A2+

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

Substitute (2) into (1)

(1) +%28+s%2B42+%29%2A2+-+2s+=+s%2A2+

(1) +2s+%2B+84+-+2s+=+2s+

(1) +2s+=+84+

(1) +s+=+42+

and

+s%2B+42+=+42+%2B+42+

+s+%2B+42+=+84+

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

The 1st train's speed is 42 mi/hr

The 2nd train's speed is 84 mi/hr

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

check:

(2) +d+=+%28+s%2B42+%29%2A2+

(2) +d+=84%2A2+

(2) +d+=+168+

and

(1) +d+-+2s+=+s%2A2+

(1) +d+-+2%2A42+=+42%2A2+

(1) +d+=+84+%2B+84+

(1) +d+=+168+

8 0
3 years ago
Pls help and no links thankyou &lt;3
Hitman42 [59]
Do the second one hope this helps
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