Answer:
x= 27.5
Step-by-step explanation:
Answer:
<h2>-6</h2>
Step-by-step explanation:
![\text{The average rate of change of function}\ f(x)\\\text{over the interval}\ a\leq x\leq b\ \text{is given by this expression:}\\\dfrac{f(b)-f(a)}{b-a}\\\\f(x)=2x^2-7x\\\\\text{Put the values of x = 2 and x = 6 to the equation of the function:}\\\\f(2)=2(2^2)-7(2)=2(4)-14=8-14=-6\\f(6)=2(6^2)-7(6)=2(36)-42=72-42=-30\\\\\dfrac{f(6)-f(2)}{6-2}=\dfrac{-30-(-6)}{4}=\dfrac{-24}{4}=-6](https://tex.z-dn.net/?f=%5Ctext%7BThe%20average%20rate%20of%20change%20of%20function%7D%5C%20f%28x%29%5C%5C%5Ctext%7Bover%20the%20interval%7D%5C%20a%5Cleq%20x%5Cleq%20b%5C%20%5Ctext%7Bis%20given%20by%20this%20expression%3A%7D%5C%5C%5Cdfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%5C%5C%5C%5Cf%28x%29%3D2x%5E2-7x%5C%5C%5C%5C%5Ctext%7BPut%20the%20values%20of%20x%20%3D%202%20and%20x%20%3D%206%20to%20the%20equation%20of%20the%20function%3A%7D%5C%5C%5C%5Cf%282%29%3D2%282%5E2%29-7%282%29%3D2%284%29-14%3D8-14%3D-6%5C%5Cf%286%29%3D2%286%5E2%29-7%286%29%3D2%2836%29-42%3D72-42%3D-30%5C%5C%5C%5C%5Cdfrac%7Bf%286%29-f%282%29%7D%7B6-2%7D%3D%5Cdfrac%7B-30-%28-6%29%7D%7B4%7D%3D%5Cdfrac%7B-24%7D%7B4%7D%3D-6)
9514 1404 393
Answer:
Step-by-step explanation:
The given relations give rise to two equations:
b = g + 5
b + g = 21
Using the first to substitute for b in the second, we have ...
(g +5) +g = 21
2g = 16 . . . . . . . subtract 5
g = 8 . . . . . . . . . divide by 2
b = 8 +5 = 13
Ben got 13 presents; Gwen got 8.
Answer:
Ling's principal can hire new teachers in 54 different ways.
Step-by-step explanation:
Since Ling's elementary school principal wants to hire some new teachers, and 6 teachers applied for one 1st grade teaching job, and 3 teachers applied for one 2nd grade teaching job, and there is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job, to determine how many different ways can Ling's principal hire new teachers the following calculation has to be done:
6 x 3 x 3 = X
18 x 3 = X
54 = X
Therefore, Ling's principal can hire new teachers in 54 different ways.