5. An airplane 30,000 feet above the ground begins to descend at a
rate of 2,000 feet per minute. Choose an equation to model this
situation.
A y = 30,000 – 2,000x
B
y = 30,000x - 2,000
Cy= 30,000 + 2,000x
D y = 30,000x + 2,000

A

Step-by-step explanation:

If the airplane is 30,000 feet above the air and descends 2,000 feet it's going down 2,000 feet per minute and cause we don't know how many minutes he was going down we put that as x. and multiply 2,000 for what ever x is.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

hello,

as we don't know if g(x) is continue,

answer b

f(x)=2x²-8x+1=2(x²-4x+4)+1-8=2(x-2)²-7

vertex is (2,-7) ( a minimum since coefficient of x² is > 0)