If c=g-3f, find the trinomial that represents c when f=2x^2+6x-5 and g=3x^2+4.

The trinomial that represents C  is -3x^2 - 18x - 11

Given the following functions

We ned to get the value of C = G - 3F

C = 3x^2+4 - 3(2x^2+6x-5)

Expand:

C = 3x^2+4 -  6x^2 - 18x - 15

C = -3x^2 - 18x - 11

Hence the trinomial that represents C  is -3x^2 - 18x - 11

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C = -3x² - 18x + 21

Step-by-step explanation:

We are given that C = G - 3F (1) , where we have to find the trinomial expression for C if F = 2x² + 6x - 5 and G = 3x² + 4.

Now, putting the expressions of G and F in the equation (1) we get the expression for C.

So, C = (3x² + 4) - 3(2x² + 6x - 5)  

⇒ C = 3x² + 4 - 6x² - 18x + 15

⇒ C = -3x² - 18x + 21 (Answer)

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)