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garik1379 [7]
3 years ago
10

What is the equation of the line, in slope-intercept form, passing through (0,7) and parallel to y=3x−5?

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0
Well, if a line is parallel to another, they share the same slope. Why that is, I can further explain in the comments if you're interested. Anyway, because we know this line is parallel to 3x-5, it MUST have a slope of 3, since that is the slope of the other line. So you can go ahead and mark out those last 3 answers. You could also mark out the first one since it's the EXACT SAME line as the one were given, so it wouldn't be parallel, it would just be equal to it. So we know the answer has to be B. What if A wasn't the same as the line given though? in that case, we could look at the point you're given. it describes the y intercept of our unknown line, since the point occurs at x=0. If that doesn't make sense, let me know and I can elaborate on why that is. Anyway, if we're looking at the general form of a line, y = mx + b, b describes the y value at which the y-intercept occurs. the y intercept were given occurs at y= 7, so the b value of our line must be 7. This agrees with answer B.

Hope that helps, and let me know if you have any questions! :)
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Answer:

The two positive integers are 30 and 30

Step-by-step explanation:

Let

x------> the larger  positive integer

y-----> the smaller positive integer

P----> the product o the two positive integers

we know that

x+y=60

y=60-x -----> equation A

P=xy ----> equation B

substitute equation A in equation B

P=x(60-x)

P=60x-x^{2}

This is the equation of a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the largest possible product

Using a graphing tool

The vertex is the point (30,900)

That means------> For x=30 The largest possible product is 900

and

y=60-x ------> y=60-30=30

therefore

The two positive integers are 30 and 30

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3 years ago
Allison can run 3.1 miles in 30 minutes. Which proportion could be used to find
Kobotan [32]

Answer:

3.1/30

Step-by-step explanation:

hope this helps

4 0
2 years ago
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77julia77 [94]

Answer: They can buy 16 coats.

Step-by-step explanation:

All you have to do is divide $740 by $46.25 and you will get 16 which will be your final answer.

4 0
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A store is having a sale on chocolate chips and walnuts. For 3 pounds of chocolate chips and 5 pounds of walnuts, the total cost
mrs_skeptik [129]

Answer:

Step-by-step explanation:

3c + 5w = 16

6c + 2w = 22

-6c - 10w = -32

6c  + 2w = 22

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3c + 5(1.25) = 16

3c + 6.25 = 16

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A bug splatters on the windshield of a moving car. Describe the 1. Forces 2. Impulses 3. Momentum changes 4. And accelerations o
uranmaximum [27]

Answer:

acceleration=force/mass

Due to variation in the mass[ as same force as per magnitude acts on both of them] the acceleration developed in the bug will be more and the acceleration developed in the car is negligible.

impulse=change in momentum

The impulse of bug is more and that of car is small.

momentum changes=change in momentum

force=change in momentum/time of contact

the force exerted by car on the bug will be more than the converse

Total. momentum is conserved , so magnitude of change in momemtum or impulse is same. By Newtons third law, since the bug have smaller mass, its change in magnitude of velocity is larger.

Step-by-step explanation:

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