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
Answer:
B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
The ratio between the two variables is a constant called constant of proportionality k
<u><em>Verify each case</em></u>
A) Julie sold 4 necklaces for $12 and 9 necklaces for $25.
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.
Multiply in cross
Is true
therefore
The situation represent a proportional relationship
C) Larry packed 24 apples in 6 boxes and 46 apples in 9 boxes
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
D) Allie put 14 pieces of candy in 2 bags and 30 pieces of candy in 4 bags
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
