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viktelen [127]
3 years ago
5

What is the justification for each step in the solution of the equation?

Mathematics
1 answer:
Luden [163]3 years ago
5 0
The second one i think would be x > -6
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Part A: Billy rented a canoe at $14 for 2 hours. If he rents the same canoe for 5 hours, he has to pay a total rent of $29. Writ
zepelin [54]

Part A)

So we need the graph to pass through these points:

time = 2 and price=$14 -> (2,14)

time= 5 and price = $29 -> (5,29)

Standard form:

Ax+By = C

Let’s replace the points:

A*2+B*14=C

A*5+B*29=C

Let’s eliminate variables:

(A*2+B*14)-(A*5+B*29)=C-C

A*2+B*14-A*5-B*29=0

-3A-15B=0

-3A=15B

A=15B/-3

A=-5B

There are several numbers that verify this proportion. For example, if B=1, A=-5 (you can try others, there is not only 1 correct answer).

So we can make this equation:

-5x+y=C

Then we can calculate C using one point:

-5*2+14=C

-10+14=C

4=C

So one of the possible equations is: -5x+y=4

(Remember there are multiple correct answers for this item)

You can verify it with the other point:

-5*5+29=-25+29=4 ->OK

 

Part B)

Whatever you have found in Part A, you will find the same in Part B when you convert it to function notation. All you have to do is clear y:

-5x+y=4

y=4+5x

So the equation is: f(x)=4+5x


Part C)

First of all, you have to find f(0)

f(x)=4+5x

f(0) =4+5*0=4+0=0

f(0) is ALWAYS the constant not multiplied by x.

So you know it has to cross the y axes in y=4

Now let’s put 0 as y-value:

4+5x=0

5x=0-4=-4

x=-4/5

So now you know it has to cross the x axes in x=-4/5.

So you can put those intersections in the graph and you draw the line through those points. Labels: horizontal axes is x, and in this case represents time; vertical axes is y, and in this case represents price.

Remember there are other methods, too :)

5 0
3 years ago
What are the dimensions of the rectangle shown on the coordinate plane?
sveta [45]
The answer is (+2,6)
4 0
3 years ago
What are the multiples of rotation for a rectangle
Sedbober [7]

Answer:

Rotation of 90° (CounterClockwise) (x, y) (-y, x)

Rotation of 180° (Both Clockwise and Counterclockwise) (x, y) (-x, -y)

Rotation of 270° (Clockwise) (x, y) (-y, x)

Rotation of 270° (CounterClockwise)

Step-by-step explanation:

6 0
3 years ago
Suppose two different states each pick a two-digit lottery number between 00 and 99 (for a 100 possible numbers).
Neporo4naja [7]
A. 1/10000 because it is a 1/100 chance for each. 
b. 1/100 because there are 10,000 options and 100 of them are the same options. Simplify for the answer. 
6 0
3 years ago
Help me with this pleassssseeeedeeeeeeee..
irakobra [83]
We’re told that QR and RS are equal, so this is an isosceles triangle.

Meaning the two base angles must also be equal

Using this information, we know that the third angle must be 180 - (22 + 22), since the angles in a triangle add up to 180

8 0
2 years ago
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