To factor we must first find <u>factors</u> of 35
The only factors of 35 are :<em> 5 & 7 </em>
-2x is what 5 and 7 make
but only if 7 is <u>negative </u>and 5 is <u>positive </u>
so our final factors are
(x - 7) (x + 5)
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For the second equation, were going to multiple the coefficient of ( which is 2 ) by 6
We get 12
What factors of 12 add up to 7?
<em>3 and 4 </em>
So our final factors are
(2x+3)(x+2)
Answer:
C: x = 7
Step-by-step explanation:
The easiest way to do this is to simply try all of the x-vales given as options.
Option 1: x = -1
Since , we'll use the first equation.
As we can see, g(-1) is not -4.
Option 2: x = 3
Since , we'll use the 2nd equation.
Not -4.
Option 3: x = 7
Since , we'll use the 3rd equation.
Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:
Option 4: x = 4
Since (less than <em>or equal to</em>), we'll use the 3rd equation.
Answer:
1. x=3 x=1
2. x=0
Step-by-step explanation:
We want f(x) to equal g(x)
f(x)=g(x)
1/(x-2) = (x-2)
Using cross products
1 = (x-2) * (x-2)
1 = x^2 -2x-2x+4
Subtract 1 from each side
1-1 = ^2 -2x-2x+4-1
0 = x^2 -4x+3
Factoring
What number multiplies to 3 and adds to -4
-3*-1 = 3
-3+-1 = -4
0= (x-3) (x-1)
Using the zero product property
x-3 =0 x-1=0
x=3 x=1
2. f(x)=x^2+4x+2
g(x)=(1/2)^ x+1
From the graph,we can see they intersect at x=0
