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3 years ago

What is the equation of the given in standard form? : y=-1.7x+8.5

Mathematics

2 answers:

olga_2 [115]3 years ago

7 0

Y= -1.7x + 8.5
10( Y = -1.7 x + 8.5)
10Y = -17x + 85
+17x
17x + 10Y = 85

nikklg [1K]3 years ago

3 0

<span>Hint: It's in Slope-Intercept form: y = mx + b You need to change it to standard form: ax + by = c So: y= -1.7x + 8.5 + 1.7x 1.7x + y = 8.5</span>

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Read 2 more answers

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Gnoma [55]

<h3>Answer: 6 mph</h3>

========================================

Explanation:

distance = rate*time

90 = r*t

where r is the slower speed and t is the time it takes when going that slower speed.

If r is bumped up 24 mph faster, to r+24, then Santos takes t-12 hours to get there. The second equation is

90 = (r+24)(t-12)

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

We can solve the first equation for r to get r = 90/t

Then plug this into the second equation and do a bit of algebra

90 = (r+24)(t-12)

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90 = 90 - 1080/t + 24t - 288

90t = 90t - 1080 + 24t^2 - 288t

0 = 90t - 1080 + 24t^2 - 288t-90t

0 = 24t^2 - 288t - 1080

24t^2 - 288t - 1080 = 0

If you apply the quadratic formula, then you should get the two solutions t = -3 and t = 15. Due to time constraints, I'll skip these steps.

We'll ignore the negative t value. It makes no sense to have a negative time.

So we focus on t = 15 as the only solution.

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

If t = 15, then,

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r = 90/15

r = 6

Santos rode his bike at <u>6 mph</u> at first. Going this speed means he takes 15 hours.

If he rode 24 mph faster, at 6+24 = 30 mph, then he would ride for 15-12 = 3 hours instead. Note that 90/30 = 3.

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