Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below: f(x) = 2x − 20g(x) = x − 1a. -5b. 5c. 1/6d. 30

(f/g)(-5) = 5

Step-by-step explanation:

You mean, "determine the value of (f/g)(x) at x = -5."

That would be:

f(x)        2x - 20

=   and we now substitute -5 for x:

g(x)         x - 1

                  2(-5) - 20      -30

 (f/g)(-5) = = = 5

                     -5 -1              -6

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

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft