Answer: 2x+4+3(2x-1) is not equivalent to 8x-2. it is equivalent to 8x+1
Step by step solution:
Step 1 :
Equation at the end of step 1 :
(2x + 4) + 3 • (2x - 1)
Step 2 :
Final result :
8x + 1
Step-by-step explanation:
<h2>-20 is the right answer.</h2>
A quadratic equation has the general form
of: <span>
y=ax² + bx + c
It can be converted to the vertex form in order
to determine the vertex of the parabola. It has the standard form of:
y = a(x+h)² - k
This can be done by completing a square. The steps are as follows:
</span><span>y = 3x2 + 9x – 18
</span>y = 3(x2 <span>+ 3x) – 18
</span>y + 27/4= 3(x2 <span>+ 3x+ 9/4) – 18
</span>y = 3(x2 + 3/2)^2 – 99<span>/4
</span>
Therefore, the first step is to group terms with the variable x and factoring out the coefficient of x^2.
Coefficients are added together because they are like terms, this can be proven with the distributive property. For example, x(2x+x)=2x^2+x^2=3x^2.
The commutative property of addition and the associative property demonstrate this.
The word "commutative" comes from "commute" or "move around", so the Commutative Property<span> is the one that refers to moving values around.
</span>
The associative property<span> states that you can add or multiply regardless of how the numbers are grouped. </span>
1.7x+35
2.5w-20
3.-5m+25
4.18-9a
5.2y+6
6.-2x-14
7.35m-21
8.6n+24
9.-12c-48
10.-8k-10
11.2-k
12.4-28p
13.18r-63
14.-5k-4
