Answer:
1. 47.38
2. 6
3. 18.57
4. 114.9
5. 75.01
Step-by-step explanation:
Answer:
<u>60+150</u> (210)
Step-by-step explanation:
The Distributive property says a(b+c)=ab+ac
<u>6(10+25)</u>
1) Distribute the 6 to 10:
60
2) Distribute the 6 to 25:
150
3) Add the two terms together:
210
The correct answer would be D. It represents a nonlinear function because it's points are not on a straight line.
This is correct because a linear function would be a straight line, and because when graphed the table doesn't create a line, it would be a nonlinear function.
Answer:
f(x) = 2(x –3)²
Step-by-step explanation:
f(x) = 2x² – 12x + 18
The vertex form of the above expression can be obtained as follow:
f(x) = 2x² – 12x + 18
Factorise
f(x) = 2(x² – 6x + 9)
Next, we shall simplify x² – 6x + 9 by factorisation method.
This is illustrated below:
x² – 6x + 9
Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².
Next, find two factors of 9x² such that their sum will result to the 2nd term i.e –6x in the expression above.
The factors are –3x and –3x
Next, replace –6x with –3x and –3x in the equation above as shown below:
x² – 6x + 9
x² – 3x –3x + 9
Factorise
x(x – 3) –3(x –3)
(x –3)(x –3)
(x –3)²
f(x) = 2x² – 12x + 18
f(x) = 2(x² – 6x + 9)
f(x) = 2(x –3)²
Therefore, the vertex form of the function f(x) = 2x² – 12x + 18 is
f(x) = 2(x –3)²
