ANSWER
A) -1
EXPLANATION
The average rate of change of the given quadratic function on the interval 0 ≤ x ≤4 is the slope of the secant line connecting the points (0,f(0)) and (4,f(4)).
That is the average rate of change is:

From the graph, f(0) is 0 and f(4) is -4.
We plug in these values to obtain;

This simplifies to;


Hence the average rate of change for the given quadratic function whose graph is shown on 0≤x≤4 is -1
Slope intercept form : y = mx + b
4x - 5y < 1
-5y < -4x + 1
y > 4/5x - 1/5 <== slope intercept form
y - x > 3
y > x + 3 <== slope intercept form
Answer:
Options 2), 4), and 5) are correct
Step-by-step explanation:
<u>Rock the House Digital Designs</u>
<u>Elegant Home Architects</u>
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<u>Answer options:</u>
1)The expression 50h represents the total charge for Rock the House Digital Designs.
-
Incorrect. Additional $500 charged.
2)The expression 75h represents the total charge for Elegance Home Architects.
3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.
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Incorrect. They will choose one of the options.
4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.
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Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250
5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.
- Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875
Answer:
( 1, -4)
Step-by-step explanation:
To find this answer you go over 2 to the right on the x-axis, then go down 6 on the y-axis. This gives ( 1, -4).
The <span>x-intercept </span>indicates that the entire pile of dirt will have been moved after 6 hours.