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3 years ago

Which graph shows a function that always had a negative rate of change?

Mathematics

1 answer:

oee [108]3 years ago

7 0

Answer: 2nd one is the right one

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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

3 0

3 years ago

Help I am stuck on this problem

Musya8 [376]

Answer:

16 = 3x

Step-by-step explanation:

The perimeter is found by adding up the 3 sides

P = x+x+x

P =3x

We know the perimeter is 16

16 = 3x

5 0

3 years ago

Please help with this

julia-pushkina [17]

Answer:

-11

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

How to use the unit circle to find the value of tan (-180)?

vodomira [7]

The point on the unit circle corresponding to -180 degrees is
((x, y) = (-1, 0).

tan(-180°) = y/x = 0/(-1) = 0

3 0

3 years ago

Is the graph a linear function, non linear function, or relation

serious [3.7K]

a LINEar function has well, the graph of a straight line, so this isn't that.

is it a relation? well, yes, because the y-value correlates with the x-value, so one depends or relates to the other.

is it a non-linear function? well, a function has to pass the vertical line test, meaning if we draw vertical lines they must touch the graph only once on their way down.... and in this case it seems they do, so it is non-linear clearly, and it's also a function.

7 0

3 years ago