The sum of four consecutive integers is -294. Find the integers

How much time required to complete a10days work if it could complete by 3 worker in 4days and 6worker in 3.05 days,if 5 workers

Andrei [34K]

Answer:

This seems to be a linear relationship:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

We know that 3 workers can complete the job in 4 days.

Then if we define W as the rate at which a single worker can complete the work, we have the ordered pair (3 workes, 4 days)

And we also know that 6 workers can finish the job in 3.05 days, then we also have the ordered pair (6 workers, 3.05 days)

Then using these two, we can find the slope of the line:

a = (3.05 days - 4 days)/(6 workers - 3 workers) = -0.35 days/worker.

Then we have the equation:

y = (-0.35 days/worker)*x + b

Where:

y represents the time to complete the job

x represents the number of workers.

b is the y-intercept, to find the value, we could just replace one of the points in the equation, for example with the point (3 workes, 4 days) we need to replace x by 3 workers, and y by 4 days:

4 days = (-0.35 days/worker)*3 workers + b

4 days = -1.4 days + b

4 days + 1.4 days = 5.4 days = b

then the equation is:

y = (-0.35 days/workers)*x + 5.4 days.

Now we can find the number of days needed for 5 workers to finish the job, we just need to replace x by 5 workers:

y = (-0.35 days/workers)*5 workers + 5.4 days

y = 3.65 days.

4 0

3 years ago

Just Q9 please x If u could help that would be great

dybincka [34]

General rule: The angles on a straight line total 180°

The right angle equates to 90°

Since that angle is half of our desired angle, it must mean that 2x + x = 90°

breaking this down, we get 3x = 90° which can be divided to make x = 30°

8 0

3 years ago

Use your equations from Lesson 1 for the Brick candle and the Egyptian candle to create a graph of two polynomial functions so t

Natalija [7]

9514 1404 393

Answer:

the cubic does not exceed the quadratic until x > 8

Step-by-step explanation:

The attached graph plots the two expressions. The two are equal at x=8. Below that value the expression 7x^2 is greater. Above that value, the expression 7x^3 -x^2 is greater.

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<em>Comment on the question</em>

The directive to "compare the volumes" does not tell anything about the sort of comparison you are expecting. We note that the expression x^3-x^2 is zero or less up to the point where x=1, so we wonder exactly what it is supposed to be modeling. Any real volume will not be negative.

For small values of x, the quadratic is quite a bit larger. However, we know the cubic will grow larger than any quadratic for large values of x. So, the comparison you get will depend on the domain of interest—which is not specified.