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2 years ago

Write an equation: At 2 claps, Joe is in position 7 and walking towards zero at a rate of 3 claps per minute.

Mathematics

1 answer:

frutty [35]2 years ago

6 0

Answer:

I'll assume "position 7" refers to distance and not to the order of other people.

Step-by-step explanation:

We want an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). We can assume that "claps" is a new measure of distance. 0 claps is the finish.

Let's express the information provided in point format.

"At 2 claps, Joe is in position 7" is (2,7) 2 is the distance (claps) and 7 is the time (minutes)

And we can say the rate is also the slope of a line. "rate of 3 claps per minute" is 3c/m, where c is claps and m is minutes.

We can start a line equation by stating y = 3x + b, where we're using the rate, 3 c/m, as the slope, m.

We need to determine the value of b. We can use the given point (2,7) and solve for m:

y = 3x + b

7 = 3*(2) + b

b = 1

The equation becomes y = 3x + 1

y is the distance in claps and x is the time in minutes.

At a time of 2 claps he is at position of 7. b = 1 means he started 1 clap further from the finish at 0 claps.

To find the time required to reach the finish, we need to know the total distance, in claps.

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Please help asap!!! :(

Mama L [17]

Answer:

Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3

Step-by-step explanation:

First, we can graph these inequalities out. As you can see in the picture, the three vertices where the inequalities all connect form a triangle. We can check each of these vertices to find our minimum and maximum.

First, we have (3,7). 4y-3x = 4(7)-3(3)=28-9=19

Next, for (3, -3), we have 4y-3x = 4(-3)-3(3) = -12-9=-21

Finally, for (0.5, 2), we have 4y-3x=4(2)-3(0.5)=8-1.5 = 6.5

Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3

3 0

3 years ago

A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 122 degrees, what does ADC measures

iren2701 [21]

Answer:

61°

Step-by-step explanation:

Angle extended to the circumference is half the angle at the centre

ADC = ½ ABC = ½ × 122 = 61

5 0

4 years ago

3. Cuál de las siguientes fracciones NO es equivalente a 6/11:

Readme [11.4K]

Answer:

C no es equivalente a 6/11.

Step-by-step explanation:

24/42 no es equivalente a 6/11 porque, cuando se simplifica, no es igual a este número. Si usamos el número 6 para simplificar, la respuesta a 24/42 sería 4/7, que no es igual a 6/11.

7 0

3 years ago

Read 2 more answers

A plant is 20 inches tall. If the plant grows 2h inches each week for the next 4 weeks, and h inches for each of the 2 weeks aft

FromTheMoon [43]

A) 20+10h

You know that you have 20 inches to start with, then it will grow 2h four times, or 8h total. Then it will grow h 2 times, or 2h. You add the 20, 8h, and 2h, to get 20+10h.

Hope this helps!

3 0

3 years ago

Read 2 more answers

A gallon of stain is enough to cover 200 square feet of decking. Bradley has two areas of decking he would like to cover with st

Pani-rosa [81]

The expression that we need to get is:

$N = \frac{(23)*(10.4) + (10.5)*(7.2)}{200}$

So the correct option is the second one.

<h3>Which expression gives the number of gallons of stain Bradley will need?</h3>

We know that 1 gallon is enough to cover 200 ft².

We have two rectangular areas, one of:

23 feet by 10.4 feet, and other of 10.5 feet by 7.2 feet.

Then the total area is:

A = (23 ft)*(10.4 ft) + (10.5ft)*(7.2 ft)

The number of gallons needed is given by the quotient between the area that we want to cover, and the area that covers one gallon, so the expression is:

$N = \frac{(23ft)*(10.4ft) + (10.5ft)*(7.2ft)}{200ft^2} \\\\N = \frac{(23)*(10.4) + (10.5)*(7.2)}{200}$

So the corerect option is the second one.

If you want to learn more about algebraic expressions:

brainly.com/question/4344214

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7 0

2 years ago