Answer:
Average rate of change is <u>0.80.</u>
Step-by-step explanation:
Given:
The two points given are (5, 6) and (15, 14).
Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.
The average rate of change for two points
is given as:
![R=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=R%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Plug in
and solve for 'R'. This gives,
![R= \frac{14-6}{15-5}\\\\R=\frac{8}{10}\\\\R=0.80](https://tex.z-dn.net/?f=R%3D%20%5Cfrac%7B14-6%7D%7B15-5%7D%5C%5C%5C%5CR%3D%5Cfrac%7B8%7D%7B10%7D%5C%5C%5C%5CR%3D0.80)
Therefore, the average rate of change for the points (5, 6) and (15, 14) is 0.80.
Answer:
$40 per hour
Step-by-step explanation:
draw a rectangle triangle :
sin B=8/17 that means that de biggest side are 17 ("hipotenusa"), and another side is 8. Applying de theorem of pythagoras:
![17^{2} =8^{2} +x^{2} \\x^{2} =17^{2} -8^{2}\\x=\sqrt{17^{2} -8^{2}} \\x=5\sqrt{5}](https://tex.z-dn.net/?f=17%5E%7B2%7D%20%3D8%5E%7B2%7D%20%2Bx%5E%7B2%7D%20%5C%5Cx%5E%7B2%7D%20%3D17%5E%7B2%7D%20-8%5E%7B2%7D%5C%5Cx%3D%5Csqrt%7B17%5E%7B2%7D%20-8%5E%7B2%7D%7D%20%5C%5Cx%3D5%5Csqrt%7B5%7D)
Answer: uhhh so where is the question? You need a picture or an image to show the question or you can write it down?
Step-by-step explanation:
Answer:
17.83 boxes
Step-by-step explanation:
Lets represent the number of boxes of books that can be brought up per time = x
From the question: The delivery person weighs 170lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1240lb.
Hence we have the Algebraic Expressions
170lb + 60 × x = 1240lb
170lb + 60x = 1240lb
Collect like terms
60x = 1240lb - 170lb
60x = 1070lb
x = 1070lb/60
x = 17.833333333
x = 17.83 boxes
Therefore, the delivery person can bring up 17.83 boxes per time