Answer:
A
Step-by-step explanation:
y=(x+13)^2-14
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Answer:
Irrational Number
Step-by-step explanation:
So, since it's a right triangle, you can use Pythagorean Theorem to calculate the measure of the hypotenuse.
Pythagorean Theorem says the hypotenuse squared = the sum of the sides squared.
5² + 6² = 25 + 36 = 61
And the square root of 61 is 7.8102496.... and the decimal continues in no distinguishable pattern. Therefore, the length of the hypotenuse is an irrational number.
Answer:
Maximum height is 7 feet
Step-by-step explanation:
Solution:-
- The complete question is as follows:
" The height of a small rise in a roller coaster track is modeled by f(x) = –0.07x^2 + 0.42x + 6.37, where x is the distance in feet from a supported at ground level.
Find the greatest height of the rise "
- To find any turning points ( minimum or maximum ) points of a trajectory expressed as function of independent parameter, we find the critical points of the trajectory where the first derivative of the dependent variable w.rt independent variable is set to zero.
- In our case the height of the roller coaster track (y) is function of the distance (x) from a supported pole at ground level.
f(x) = –0.07x^2 + 0.42x + 6.37
- Now set the first derivative equal to zero, and determine the critical values of x:
0 = -0.14x + 0.42
x = 0.42 / 0.14 = 3 ft
- The critical value for the coaster track is at point 3 feet away from the supported pole at ground level. So the height f(x) at x = 3 ft, would be:
f ( x = 3 ) = max height
max height = –0.07*3^2 + 0.42*3 + 6.37
= 7 ft
Check the picture below.
$20 when the hours is 0, is pretty much just a base fee Andy has before doing any on location hours of work, namely is a fee the customer owes for the service before anything else, usually is for paperwork required for hte contract.
