Answer:
214
Step-by-step explanation:
The set up would be x + (x + 1) + (x + 2) + (x + 3) = 854, naturally as the numbers are consecutive. Solving for x:
x + (x + 1) + (x + 2) + (x + 3) = 854,
x + x + 1 + x + 2 + x + 3 = 854,
4x + 1 + 2 + 3 = 854,
4x + 6 = 854,
4x = 854 - 6 = 848,
x = 848/4 = 212
The third number then should be 212 + 2 = 214
Add the zeros on to 7.5 to which you would move the decimal and it should be like this 750.0 or 750
Step-by-step explanation:
-w - 11 < or = w - 5
-2w - 11 < or = -5
-2w < or = -16
w > or = -8
Answer:
The average rate of change in that interval is 1.99
Step-by-step explanation:
Here we have that the difference quotient for g(x) is:

Remember that for a general function f(x), the difference quotient is:

So if we look at the difference quotient for g(x), we can conclude that:

Also remember that the average rate of change in an interval (a, b) is just:

So here we want the average rate of change of g(x) in the interval from x = -2 to x = 1, this is:

The average rate of change in that interval is 1.99
Answer:
the ramp's vertical distance is <u>60</u>
Step-by-step explanation:
Think about what a ramp looks like from the side (right triangle). Use the Pythagorean Theorem.

The wheelchair ramp (hypotenuse) is given to be 109, if one of the sides is 91, simply plug in the numbers and solve for the other side.





Hope this helps!