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3 years ago

4x-2y=6 (y=mx+b) _________

Mathematics

1 answer:

USPshnik [31]3 years ago

5 0

Answer:

Step-by-step explanation:

4x - 2y = 6

-2y = -4x + 6

y = -4x/-2 + 6/-2

y = 2x - 3

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Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu

cluponka [151]

Answer:

Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is $x$ mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: $(x-18) mph$

We know that, $Time = \frac{Distance}{Speed}$

So, the time of driving in clear weather $=\frac{50}{x}$ hours

and the time of driving in thunderstorm $=\frac{16}{x-18}$ hours.

Given that, the total time for the trip is 1.5 hours. So, the equation will be......

$\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0$

Using zero-product property.........

$x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12$

We need to ignore $x=12$ here, otherwise the speed in thunderstorm will become negative.

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

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3 years ago

Please what’s the answer

kozerog [31]

Answer:

It's the second one.

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3 years ago

Evaluate r(x)=−x−7 when x=−2,0, and 5. Brainliest to right answer

HACTEHA [7]

Answer:

r(-2) = -5 , r(0) = -7 , r(5) = -12.

Step-by-step explanation:

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2 years ago

How do we put the points (0,7) and (8,-2) into slope intercept form

Vinil7 [7]

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3 years ago

Right angle are known as the

marissa [1.9K]

Right angle are known as exactly 90 degrees corresponding to a quarter turn.

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2 years ago

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