Using the information given and linear function concepts, it is found that:
- a) The equation is:
.
- b) The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.
- c) It takes 200 seconds for the skydiver to reach the ground.
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when t changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- The skydiver descends at a rate of 25 feet per second, hence
.
Then:
<u>90 seconds after the parachute opens, his altitude is 2750 feet</u>, which means that when 
, which is used to find b. Then:
Hence, the equation is:
.
Item b:
Time is in seconds, hence, this is y(120).
The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.
Item c:
The time it takes to reach the ground is t for which y(t) = 0, hence:
It takes 200 seconds for the skydiver to reach the ground.
You can learn more about linear functions at brainly.com/question/26065573
Answer:
Blue line: y = -2
Red line: y = 2/3 x + 2
Perpendicular to red line: y = -3/2x + 2
Parallel to red line: y = 2/3 x + any real number
The simplified form of the given expression 
is 
.
<h3>How to simplify a fractional expression?</h3>
The steps to simplify a fractional expression are:
- Factorize the expressions both in the numerator and the denominator using different methods
- Remove the common terms in the numerator and denominator
- Thus, the simplified expression will be obtained.
<h3>Calculation:</h3>
The given expression is
Factorizing the numerator:
x² - 4x - 21 = x² - 7x + 3x - 21
= x(x - 7) + 3(x - 7)
= (x - 7)(x + 3)
Then,
= 
common factor (x + 3) is canceled out from both the numerator and the denominator
So,
=
Therefore, the simplified expression is .
Learn more about simplifying an expression here:
brainly.com/question/13742517
#SPJ1
Step-by-step explanation:
=(3x-4y)(2x+7y)
=3x(2x+7y)-4y(2x+7y)
=6x²+21xy-8xy-28y²
=6x²+13xy-28y²
hope it helps.
Answer:
4.05 dollars
Step-by-step explanation:
4 dollars and 5 cents. 15 percent of 27 is 4.05
