Answer:
Step-by-step explanation:
Time is the independent variable here. The tank is being filled and the amount of water in it is dependent on how much time passes by.
This is a straight line function (linear function); the rate at which the tank is filled is:
750 m^3
----------------
1 hr
Answer:
- <u>The zero is x = 5, and it represents that the diver will enter the pool's surface 5 feet in front of the diving board.</u>
Explanation:
The function is f(x) = - x² - 5x + 50.
Where:
- f(x) is the vertical distance of a diver from a pool's surface, and
- x is the horizontal distance of a diver from the diving board.
A zero of f(x) represents a point where the diver is at the surface of the pool. There might be two possible zeros.
Solve the equation to determine the zeros:
- Multiply both sides by - 1: x² + 5x - 50
- Factor: (x + 10) (x - 5) = 0
- Use zero product property: x + 10 = 0 or x - 5 = 0
- From x + 10 = 0 you get x = - 10
- From x - 5 = 0 you get x = 5.
- The negative zero is not valid as it would be a point behind the diving board, so the meaningful zero is when x = 5, meaning that the diver will touch the surface of the pool at 5 feet in front of the diving board.
Answer:
Step-by-step explanation:
in an isocelles trapezoid, we have the properties:
the lower base angles are congruent
the upper base angles are congruent
we have an angle= 44
the angle #3= 44 because of the properties
so the lower base angles are equal and equal to 44
sum of the angles in trapezoid=360
360-(44*2)=360-88=272
upper base angles are equal
272/2=136
angle1=angle2=136
Answer: f(x) = 3x - 1
Step-by-step explanation:
y - 5 = 3(x - 2); now solve for y;
y = 3(x - 2) + 5; now distribute the 3 and add like terms;
y = 3x - 6 + 5
y = 3x -1 ; replace y with f(x);
f(x) = 3x - 1
Answer:
12948 bricks
Step-by-step explanation:
332*39=12948
