It is in the first quadrant
Given:
Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster.
To find:
The graph that represents the set of heights that satisfy this requirement.
Solution:
Let x be the height required for the ride.
Guests must be at least 54 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 54.
So, 54 and all values above 54 are in the solution set.
Since, 54 is included in the solution set, therefore there is a closed circle at 54. All values above 54 are in the solution set, so everything to the right of the circle is shaded.
Therefore, the correct option is C.
Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable c: number of child bikes.
- Variable a: number of adult bikes.
Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:
4c + 4a = 100.
c + a = 25.
With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:
c + a = 26
20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
cos x (2 sin x − 1)
Step-by-step explanation:
sin(2x) − cos x
Use double angle formula.
2 sin x cos x − cos x
Factor.
cos x (2 sin x − 1)
