WILL GIVE BRAINLIEST! 2 QUESTIONS FOR 6 POINTS +3 TO WHOEVER ANSWERS QUICKEST! AND THE HAVE A GOOD EXPLAINATION!

Mathematics

1 answer:

forsale [732]3 years ago

7 0

So pretty much for the first question it is line A since the steeper the line the faster something goes as in this case A is covering the most questions at the fastest rate.

For the second one it’s none of the above because 3680/4=920.

Hopefully I don’t get this wrong :/

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Christopher is analyzing a circle, y^2 + x^2 = 121, and a linear function g(x). Will they intersect?

Sav [38]

Circle: x^2+y^2=121=11^2 => circle with radius 11 and centred on origin.
g(x)=-2x+12 (from given table, find slope and y-intercept)
We can see from the graphics that g(x) will be almost tangent to the circle at (0,11), and that both intersection points will be at x>=11.
To show that this is the case,
substitute g(x) into the circle
x^2+(-2x+12)^2=121
x^2+4x^2-2*2*12x+144-121=0
5x^2-48x+23=0
Solve using the quadratic formula,
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mario62 [17]

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Marie is cleaning her clothes out of the closet in her spare bedroom. She started with 650 of her items in the closet. She has b

Lemur [1.5K]

Wording is everything. Here, there are some issues. "... at the rate of 1/2 per month" can be interpreted to mean that at the end of the first month, there are 649 1/2 items in Marie's closet (decreased by 1/2 from 650).

"The number of items Dustin adds" could mean 5 items, the number he adds each month. The wording should specify the time period or whether we're talking about the total number Dustin has added.

We assume your description means that the number of items in Marie's closet at the end of each month is 1/2 what it was at the beginning. (As opposed to decreasing by 1/2 item each month.) We assume we're interested in the total number of items of Dustin's that are in the closet.

Marie's quantity can be modeled by ...

... m = 650·(1/2)^t . . . . . t = time in months

Dustin's quantity can be modeled by ...

... d = 5t

There will be one solution for d=m, at about t = 4.8. At that point, Dustin will have added about 24 items, which will be the number Marie is down to.

There is a viable solution for d=m at about t = 4.8.