The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
y represents the number of miles a motor car has left to go in the race
x represents the number of laps completed by the motor car
The total number of miles if we consider only circular speedways = 2.5x
The total number of miles:
y = 2.5x + 500 (because 500 is the constant)
Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.
Learn more about the function here:
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Answer: A. G(x)= ax=y= - f(x) is flip over x-axis. Therefore, f(x) =14x would become f(x) =-14x. Therefore, final transformed function f(x)=-14x is vertically stretch by a factor of 14 and flip over the x-axis.
Answer:
Step-by-step explanation:
<u>Area formula:</u>
<u>The height is:</u>
- h = (x + 2)sin 45° = √2(x + 2)/2
<u>Substitute the area value an set an equation:</u>
- 4√2 = (2x - 3)√2(x + 2)/2
- (2x - 3)(x + 2) = 8
- 2x² + x - 6 = 8
- 2x² + x - 14 = 0
- D = 1 + 4*2*14 = 113
- x = (-1 + √113)/4 = 2.41 (rounded)
Note. the second root ignored as negative
Answer:
t>−74
Step-by-step explanation:
I hope this help helps
The scale factor of the Reba's drawing is 9/84, 3/28
Step-by-step explanation:
The scale factor is the ratio between the two corresponding sides of the figure. The point worth noting in computing the scale factor is that both sides must have similar units of dimension while using for comparison purpose.
Given the scale used by Reba is 9 inches to 7 feet
Since both the units are different, we have the option to either convert inches to feet or vice versa
We proceed with converting feet to inches
We know that 1 foot equals to 12 inches. Hence 7 feet would equal 84 inches.
Now scale factor= first dimension/ corresponding dimension
Scale factor= 9/84 which can be reduced to 3/28