Questions 7-12 Plzzz respond ASAP

Mathematics

1 answer:

Sedaia [141]3 years ago

5 0

Answer:

7-10. domain is all x, range is all y

11. just name all numbers other than 6, 8, and 10 (1, 2, 7, etc.)

12a. (-1,0), (-2,-1), (0,1) (1,2)

12b. Yes, none of the domains are the same and the ordered pairs listed above all follow the rules stated. If it did not follow the rules, the pair(s) would not be Relation B

Step-by-step explanation:

11: In order for relations to be functions, the "x" of the pair needs to be different from the rest. Having the same "x" as another ordered pair would not make it a function.

12a. Follow the rules they state, x ==> y (which I think means x is the number before y) and y > x, honestly not even sure if this is correct

12b. If x ==> was correct in my interpretation, then the ordered pairs I listed should all fit within the boundaries of what relation B would be defined as.

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pickupchik [31]

Answer:

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3 years ago

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......

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