Answer:
The value of function for x = 1 , y = 5 i.e f(1) is 5
Step-by-step explanation:
Given as :
f(x) =
Now from the function the value of y depend on the value of x
So , for x = 1
I.e f(1) =
Or, f(1) = 5
Hence The value of function for x = 1 , y = 5 i.e f(1) is 5 Answer
Answer:
(12,-6)
Step-by-step explanation:
we have
----> inequality A
---> inequality B
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)
<u><em>Verify each point</em></u>
Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B
case 1) (0,-1)
Inequality A
----> is true
Inequality B
----> is not true
therefore
The ordered pair is not a solution of the system
case 2) (0,3)
Inequality A
----> is true
Inequality B
----> is not true
therefore
The ordered pair is not a solution of the system
case 3) (-6,-6)
Inequality A
----> is true
Inequality B
----> is not true
therefore
The ordered pair is not a solution of the system
case 4) (12,-6)
Inequality A
----> is true
Inequality B
----> is true
therefore
The ordered pair is a solution of the system (makes true both inequalities)
Answer:
13.86 ft
Step-by-step explanation:
This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.
The height of the pole is the side opposite to the angle 60°.
The trigonometric function states that for a right angled triangle:
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent
To find the height of the flagpole, we use:
sin(60) = height / 16
height = 16 * sin(60)
height = 13.86 ft
The person with the incorrect reasoning for the height of the flagpole is Charlie when he should have utilized the sin function. Because he incorrectly selected the function.
