Answer:
an ordered pair anywhere on the parabola
the coordinates for the vertex
the formula for vertex form
Step-by-step explanation:
Please can someone give me a answer of number 1 and 2 and explain by showing how to do it. Thank you
1 answer:
<h3>Answer:</h3>
- 1 1/8 in
- 4 7/8 cm²
In both cases, you make use of the relationship between the length and width of a rectangle and its area. We take for granted that you are comfortable with arithmetic using mixed numbers and/or fractions. The applicable formula for the area (A) of a rectangle in terms of its length (L) and width (W) is ...
A = L·W
Fill in the given values and solve for the remaining one.
1.
3/4 in² = (2/3 in)·W . . . . . divide by the coefficient of W to find W.
(3/4 in²)/(2/3 in) = W = 9/8 in = 1 1/8 in
2.
A = (1 1/2 cm)·(3 1/4 cm) = (3/2·13/4) cm² = 39/8 cm²
A = 4 7/8 cm²
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<h3>Answers:</h3>
- 48 seconds
- 3624 feet
========================================================
Explanation:
x = number of seconds that elapse
y = altitude (aka height) of the plane
The equation for plane A is
y = 20.25x+2652
because it starts off at 2652 ft in the air, and then adds on 20.25 feet per second which is what the 20.25x describes
The equation for plane B is
y = 75.5x
The y intercept is zero because plane B starts on the ground, aka height 0.
------------------
The system of equations is
If we want to know when they'll reach the same height (y), then we can set the two right hand sides equal to each other and solve for x.
75.5x = 20.25x+2652
75.5x-20.25x = 2652
55.25x = 2652
x = (2652)/(55.25)
x = 48
The two planes reach the same altitude at exactly <u>48 seconds</u>
That altitude is <u>3624 feet</u> because
- y = 20.25*x + 2652 = 20.25*48+2652 = 3624
- y = 75.5*x = 75.5*48 = 3624
Notice I plugged x = 48 into each equation and I got the same y value of y = 3624. This helps confirm the answers.
Answer:
Step-by-step explanation:
The fish population after t years can be modeled by the following equation:
In which F(0) is the initial population and r is the constant rate of decay.
Year one the fish population was 18000
This means that
In year three the fish population was 8000 fish.
Two years later, so
So