Answer:
x = - 8, x = 2
Step-by-step explanation:
Given
f(x) = x² + 6x - 16
To find the x- intercepts equate f(x) to zero, that is
x² + 6x - 16 = 0 ← in standard form
(x + 8)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 2 = 0 ⇒ x = 2
This is the concept of simultaneous equations; We are required to create the equations modelling the above information.
Suppose the number of movie tickets was x and the number of meal tickets was y.
Therefore;
Total number of tickets was:
x+y=22
Total amount earned was:
0.5x+2y=25
The simultaneous equations representing the information is:
x+y=22
0.5x+2y=25
As the word suggests, a quarter-sphere is a quarter of a sphere, and thus the volume of a quarter-sphere is a quarter of the volume of the sphere.
The volume of a sphere is computed as
So, the volume of a quarter-sphere is
The right triangle is also Isosceles. It has two equal angles of 45°.
(hypotenuse)² = 2S²
4 = 2S² => S = √2
Therefore B is the correct answer.
