Its due tomorrow
f(x)=4x^2+5x+3
g(x)=5x-7
find g(f(x))

20x²  + 25 x + 8

Step-by-step explanation:

f(x) = 4x² + 5x + 3

g(x) = 5x -7

Then:

g(f(x)) = 5(4x² + 5x + 3) -7

g(f(x)) = 20x² + 25x + 15 - 7

g(f(x)) = 20x² + 25x + 8

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