Assignment
Active
Analyzing a Method of Factorization
Determine if Ginny factored correctly If not, explain
where she made an error
Ginny factored 6x2 - 31x - 30 as shown
1 ac = -180 and b = 31
2 36(-5) = -180 and 36 + (-5) = 31
36x2 + 36x - 5x - 30
1.6x(x + 6) - 5(x + 6)
5 (x+6)(6x - 5)
Ginny made a mistake in step 1 when she identified
b = 31. It should be b= -31
Ginny was correct until step 3 when she used 36
and -5 as the coefficients of
Ginny was correct until step 4 when she incorrectly
factored the GCF from 5x - 30
Ginny factored the trinomial correctly

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

chiken

step-by-step explanation:

i need a picture

step-by-step explanation: