Answer:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x. x= i, −i, 3,−2
Step-by-step explanation:
The polynomial x3+8 is equal to (x+2)(x2-2x+4)
Initial fee: $25
Per hour fee: $7
Your budget: $60
x = # of hours you can rent the surfboard
$25 + $7x ≤ $60
Subtract $25 from both sides.
$7x ≤ $35
Divide both sides by $7
x ≤ 5
You can rent the surfboard for less than or equal to 5 hours.
Given:
Compound shape
To find:
The area of the compound shape.
Solution:
The compound shape is splitted into two parallelograms.
<u>Bottom parallelogram:</u>
Base = 7.5 cm
Height = 5 cm
Area of the parallelogram = base × height
= 7.5 × 5
= 37.5 cm²
The area of the Bottom parallelogram 37.5 cm².
<u>Top parallelogram:</u>
Base = 7.5 cm
Height = 4.5 cm
Area of the parallelogram = base × height
= 7.5 × 4.5
= 33.75 cm²
The area of the top parallelogram 33.75 cm².
Compound shape = 37.5 + 33.75
= 71.25 cm²
The area of the compound shape is 71.25 cm².
Answer:
$9.00
Step-by-step explanation:
If the price is at 30% discount, this means it is 100-30 = 70% of the original price.

Hence, original price is $9.00.