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Phantasy [73]
3 years ago
6

The question is on the jpg link.

Mathematics
1 answer:
prisoha [69]3 years ago
5 0

Answer:

A. y=-4/3x

Step-by-step explanation:

The line that passes through those points has a slope of -4/3

Slope intercept form is y=mx+b

whereas m is the slope and b is where the line intercepts the y-axis.

the line intercepts the y-axis at the origin.

Substitute the slope into the equation

y=-4/3x+0

y=-4/3x

Hope this helps. Have a nice day you amazing bean child.

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7 because it is whole number
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A car is purchased for $20, 000. Its value depreciates by 15% each year. Considering x equals the number of years, which equatio
sweet-ann [11.9K]

Answer:

20,000(x)^0.85 = 12,000

Step-by-step explanation:cd

if it "depreciates" over time, you take the value that it depreciates by and divide the full value of the car by that and get ^0.85, then, once you find the quotiont, you multiply that by the number of years it takes until you reach the goal. I have explained how to solve this problem, even gave the answer, but, I did not give the number of years, good luck! ;)

5 0
3 years ago
An important postulate in geometry states: "Through Point P, there is only one line parallel to ". What is the equation of line
telo118 [61]
At first we will find the slope of the line that <span>passes through the points A and B
</span>
<span>A ( -10,8), B(2,3)
slope = (Δy)/(Δx) = (3-8)/(2-(-10)) = -5/12

the require line is parallel to the line </span><span><span>passes through the points A and B
</span>∴ the slope of the line </span><span>that passes through Point X = -5/12
and have a general form
   y = m x + c
where m is the slope and c is constant
the constant can be calculated by substituting with the point x (-5,10) in the equation of general form
∴ 10 = (-5/12)*-5 + c
   c = 10 - 25/12 = 95/12
∴ y = (-5/12)x +95/12  ⇒⇒⇒⇒ multiplying the equation by 12

∴ 12y = -5x +95 
</span>
5 0
3 years ago
If N has a remainder of 2 when divided by 3,4,5, or 6 and N is a 3 digit number, what is the largest possible value for N?
coldgirl [10]

Short Answer 962

Remark

What an interesting problem. I didn't see it until a moment ago. Take the lowest common multiple of 3,4,5,6 and choose a value close to 999 that is divisible by the Lowest Common Multiple.


Step One

Find the lowest common multiple of 3,4,5 and 6. That's done by listing all the prime factors.


3 is prime so there's at least 1 three in the LCM.

4 = 2 * 2 so there must be two 2s in the LCM

5 is prime so the LCM has 1 prime in the LCM

6 = 2*3 and we have everything we need from the other numbers. The LCM is


3*2*2*5 = 60.


Step Two

The first step is to find the largest number closest to 999 that is evenly divided by 60. You'll see why in step 3.


Start backwards from 999 to see which number(s) can be divided by 60 evenly. There must be at least 1.


But which numbers can we choose?

60 = 10*6

The number we want must end in zero if it is to be evenly divided by 60


Our choices are

900 910 920 930 940 950 960 970 980 990


Suppose you think it is 980 If you divide this by 60 you 16.33 and no matter how you juggle that, it will never lead you to a remainder of 2. A sudden inspiration hits you and you try 960.


960 divide by 60 = 16. It's the number you are looking for.


Is there one bigger? You can try 870 980 and 990. They all leave remainders and are not evenly divisible by 60. But 960 is not the answer you want. But it will give it to you.


Step Three

Add 2 onto 960 to give you 962. That number will leave a remainder of 2 when you divide by 3,4,5,6


Step Four

Confirm that 962 leaves a remainder of 2


962 divide by 3 = 320 with a remainder of 2

962 divide by 4 = 240 with a remainder of 2

962 divide by 5 = 192 with a remainder of 2

962 divide by 6 = 160 with a remainder of 2


Comment

How do you know that the next 38 numbers don't contain one that will do the same thing? One of the ways you know is that if you divide by 60, the remainder can be quite large but under 60. For example


990 / 60 = 16 with a remainder of 30.

963 / 60 = 16.05 which translates into 16 with a remainder of 3 [0.05 * 60 = 3 which is what you might expect]. So going from 962 to 999 will give remainders in terms of under 60 but increasing by 1


963 remainder 3

964 remainder 4

965 remainder 5


and so on.


966 gives a remainder of 6. when divided by 60.

6 0
3 years ago
Randy the roofer finished 6 roofs today. Unfortunately, he was hired to do 14! Half of the unfinished roofs are covered in blue
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Answer:

First you take away 6 from 14 to make 8

1/2 of 8 is 4 (blue)

1/4 of 8 is 2 (red)

4 + 2 = 6

8 - 6 = 2 (Polka)

5 0
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