Answer:
x = 6
Step-by-step explanation:
If A, B and C lies on a straight line in order, then;
AB+BC = AC
x+12+2x-4 = 26
x+2x+12-4 =26
3x+8 = 26
3x = 26-8
3x = 18
x = 18/3
x = 6
Hence the value of x is 6
Answer:
A
Step-by-step explanation:
Consider the parent function 
The graph of this function is represented as red graph in attached diagram.
Now consider the function 
Remind main translations of the graph of the function 
- translation a units to the right;
- translation a units to the left;
- translation a units up;
- translation a units down.
In your case, the graph of the function 
is translated graph of the function 
2 units to the left (blue graph). So, correct answer is option A.
First you graph it using a graphing calculator, you look at the table of values to find out one point in which y= 0. The first one that comes up is when x=1.
If you don't have a graphing calculator you can use trial and error by inputing some numbers into x until you get y= 0.
Once you have an x value which makes y=0, you can start factorizing it.
you divide 6x3 +4x2 -6x - 4 into (x-1) which is when y =0
to get 6x2+10x+4
This can be used to write the polynomial as (x-1)(6x2 +10x+4)
you then factorize the second bracket, 6x2 +10x+4.
you can take the 2 outside to give you 2(3x2 +5x+2)
you can factorize this to become 2(3x+2)(x+1)
Now you just substitute your factorized second bracket into your unfactorized second bracket to give you 2(3x+2)(x+1)(x-1).
From this you can deduce that k= 1
Answer:
h(x - 1) = -5x - 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Terms/Coefficients
Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
h(x) = -5x - 7
<u>Step 2: Find</u>
- Substitute in <em>x </em>[Function h(x)]: h(x - 1) = -5(x - 1) - 7
- [Distributive Property] Distribute -5: h(x - 1) = -5x + 5 - 7
- Combine like terms: h(x - 1) = -5x - 2
