Answer:
(5x² +7x -26) units²
Step-by-step explanation:

Area of shaded region
= Area of larger rectangle -area of smaller rectangle
Area of larger rectangle
= (3x -4)(2x +2)
= 3x(2x) +3x(2) -4(2x) -4(2) <em>(</em><em>Expand</em><em>)</em>
= 6x² +6x -8x -8
= 6x² -2x -8
Area of smaller rectangle
= (x -6)(x -3)
= x² -3x -6x +18 <em>(</em><em>Expand</em><em>)</em>
= x² -9x +18
Area of shaded region
= 6x² -2x -8 -(x² -9x +18)
= 6x² -2x -8 -x² +9x -18
= 5x² +7x -26
3.
1000 miles per month.
12 months in a year.
1000 × 12 = 12000 miles per year
Oil change every 4000 miles.
12000 ÷ 4000 = 3
Therefore 3 oil changes per year.
Answer:
4.5>2.89
Step-by-step explanation:
This question is asking for the comparison between the values of both numbers. 4.5 is greater than 2.89, and this can be written as 4.5>2.89
Answer:
NO
Step-by-step explanation:
- Try to replace x by -50
- y= 390 + 11*(-50) = -160
- in the table we have -210 so the table doesn't represent the equation
Answer:
All three statements are true
Step-by-step explanation:
A shipping fee of 5% is charged online with every item purchased online
First let's just take each option and calculate them based on this, to see if the answers matched
Keith buys a 40 dollar book
40 x 0.05 = 2
Therefore there will be a two dollar fee on Keith's book
40 + 2 =42
The first statement is true
A chair costs $80
80 x 0.05 = 4
80 + 4 = 84
The second statement is true
George buys a 20 dollar calculator
20 x 0.05 = 1
20 + 1 = 21
The third statements are true
All three statements are true