Every rope has a safe working load. A rope should not be used to lift a weight greater than its safe working load. The table shows the safe working loads S (in pounds) for ropes with circumference C (in inches). Write an equation for the safe working load for a rope. Find the safe working load for a rope that has a circumference of 10 inches.

9514 1404 393

Step-by-step explanation:

Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...

  180, 540, 900

These are not constant, so the relation is not linear.

Second differences are ...

  360, 360

These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...

  S = 180·C²

__

The safe load for C=10 is then ...

  S = 180·10² = 18,000 . . . pounds

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

50*10 is greater

step-by-step explanation:

if you add the zero from 10 to 50, it will give you a bigger number.