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riadik2000 [5.3K]
3 years ago
10

What is the equation of the following direct variation?

Mathematics
1 answer:
balandron [24]3 years ago
4 0

Answer:

y = -2x

Step-by-step explanation:

A "direct variation" relationship has the form y = kx, where k is the "constant of proportionality.

Note that this graph goes thru the origin (which it must, to represent direct variation), and that it has a steep negative slope.  That narrows down the answer choice to the first one:  y = -2x.

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Use the Binomial Theorem to find the indicated coefficient or term.
Dmitriy789 [7]

Answer:

ans: coefficient of 3rd term is 60

3rd term is 60x

Step-by-step explanation:

(5x +2)³ = C(3,2) × (5x)^(3-2) × 2²

= 3 × 5 × 4 × x

= 60x

8 0
3 years ago
1 red marble, 3 green, 4 blue. What is the probability of picking a yellow marble?​
Alexandra [31]

Answer:

zero probability, which means impossible

Step-by-step explanation:

there are no yellow marbles to select from

7 0
3 years ago
Who is faster? A girl who runs 200 meters in 28 seconds or her friend who runs 400 meters in 60 seconds? H.E.L.P​
blagie [28]

Answer: The girl herself ran faster than her friend.

Step-by-step explanation:

This answer, of course assumes a lot of variables, but for the sake of keeping things simple, lets assume the following, the people are ran in a "straight line" with no "obstacles" in their way, and ran on the same track.

Calculating in meters-per-second for the girl who ran 200 meters in 28 seconds, you get 7.14285714286  meters per second

Calculating in meters-per-second for the girl who ran 400 meters in 60 seconds, you get 6.66666666667  meters per second

Comparing the two results, it can be "accurately" concluded that the girl herself ran faster than her friend under the following assumptions earlier stated.

4 0
3 years ago
Two Physics classes at Jefferson High School took the same quiz. Mr. Spears had 20 students in his class with a mean score of 80
andriy [413]

Answer:

The mean score for all students on the quiz was 86.

Step-by-step explanation:

This question is solved by a weighed average.

To find the weighed average, we add the values multiplied by their weight, and after that we divide by the sum of weights.

In this problem, we have that:

Mr. Spears had 20 students in his class with a mean score of 80.

So 80 has a weight of 20.

Mrs. Guyton's class of 30 students had a mean score of 90.

So 90 has a weight of 30.

Overall, what was the mean score for all students on the quiz

M = \frac{80*20 + 90*30}{20 + 30} = 86

The mean score for all students on the quiz was 86.

4 0
3 years ago
I need help with this math problem <br> -3(4x-5)=123h
Otrada [13]
The answer to your question is h=-4/41x+5/41
4 0
3 years ago
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