![\bf slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby \begin{array}{llll} average\ rate\\ of\ change \end{array}\\\\ -------------------------------\\\\ f(x)= 300-16t \qquad \begin{cases} x_1=0\\ x_2=3 \end{cases}\implies \cfrac{f(3)-f(0)}{3-0} \\\\\\ \cfrac{[300-16(3)]~~-~~[300-16(0)]}{3}\implies \cfrac{[300-48]~-~[300]}{3} \\\\\\ \cfrac{252-300}{3}\implies -\cfrac{48}{3}\implies -\cfrac{16}{1}\implies -16](https://tex.z-dn.net/?f=%5Cbf%20slope%20%3D%20%7B%7B%20m%7D%7D%3D%20%5Ccfrac%7Brise%7D%7Brun%7D%20%5Cimplies%20%0A%5Ccfrac%7B%7B%7B%20f%28x_2%29%7D%7D-%7B%7B%20f%28x_1%29%7D%7D%7D%7B%7B%7B%20x_2%7D%7D-%7B%7B%20x_1%7D%7D%7D%5Cimpliedby%20%0A%5Cbegin%7Barray%7D%7Bllll%7D%0Aaverage%5C%20rate%5C%5C%0Aof%5C%20change%0A%5Cend%7Barray%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0Af%28x%29%3D%20300-16t%20%20%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Ax_1%3D0%5C%5C%0Ax_2%3D3%0A%5Cend%7Bcases%7D%5Cimplies%20%5Ccfrac%7Bf%283%29-f%280%29%7D%7B3-0%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B%5B300-16%283%29%5D~~-~~%5B300-16%280%29%5D%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B%5B300-48%5D~-~%5B300%5D%7D%7B3%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B252-300%7D%7B3%7D%5Cimplies%20-%5Ccfrac%7B48%7D%7B3%7D%5Cimplies%20-%5Ccfrac%7B16%7D%7B1%7D%5Cimplies%20-16)
is a negative rate, because the object is falling down, at 16 feet every passing second.
0.674-32 is equal to -31.326
Answer:
40 glasses
Step-by-step explanation:
= 0.2
8/0.2 = 40 glasses
Brainly plz :))
Answer:
6.75
Step-by-step explanation:
Find the relationship between the trapezoids. You can see that the top of trapezoid ABFE is 3 units and the top of EFCD is 4.5 units. 3 * 1.5 = 4.5, so t the sides of trapezoid EFCD are 1.5 times more than the sides of ABFE.
Now, you know the bottom of ABFE is 4.5, so the bottom of EFCD is 1.5 times longer because they are proportional, so you can do 4.5 * 1.5 = 6.75 units.
Answer:
3x^2(25x^2−xy+5y^2)
Step-by-step explanation:
I copied it into MathPapa and it is always correct. It gave me that