Answer:
- sum: 3x² -4x -4
- product: (x -2)(3x +2)
Step-by-step explanation:
The areas of four regions are given. We can simply add them to find the sum. To express them as a product, we need to look at common factors.
<h3>Sum</h3>
The total of the given area expressions is ...
3x² +2x -6x -4 = 3x² -4x -4 . . . . sum
<h3>Product</h3>
Extending the table to show common factors of each row and column, we have ...
Since each cell of the table is the product of the corresponding common factors, we can write the area as the product ...
(x -2)(3x +2) . . . . product
Answer:
AC=16 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. It was given that diagonals AC and BD intersect at point E.
This implies that: 
.
We substitute the expression for x, we get:
.
Group similar terms to get:
.
.
AC = 2(12-4x)
AC=2(12-4(1))
AC=2(8)
AC=16
To find the midpoint of a line use the midpoint formula which is M = (x1+x2/2 , y1 +y2/2) After plugging in the coordinates for your variables you should get (-1+5/2, -1+2/2) This simplifies to (2, 1/2) which is the coordinates for the middle point of the base XY.
Answer: thier salaries are $5000 and $5500
Step-by-step explanation:
Let the average weekly salary of one employee be =x
And that of the other employee be = x+500
Such that if thier average of their salaries= $5250
So, their total salary= $5250 x 2=10,500
The equation to solve each employee salary becomes
x+x+500=10,500
2x+500=10,500
2x=10,500-500
2x=10,000
x=10,000 /2
x= first employee salary =$5000
second employee = x+500 =$5500
You would plug in 4 for x.
f(4)= (4) - 6 = -2
