Answer:
There is no horizontal asymptote
Answer: (7x + 8)³ ↔ the cube of the sum of 7x and 8
7(x + 8)³ ↔ 7 times the cube of the sum of x and 8
7x³ + 8 ↔ 8 added to the product of 7 and x cubed
(7x)³ + 8 ↔ 8 added to the cube of 7x
Step-by-step explanation:
(7x + 8)³ ↔ the cube of the sum of 7x and 8: for this case you will find that the values are into the parenthesis, then for each value apply the same exponent because of that all the values into the parenthesis are elevated to the cube,
7(x + 8)³ ↔ 7 times the cube of the sum of x and 8: in this example the 7 is multiplying all the values into the parenthesis, then you can find six times the sum of x and 8 elevated to the cube, also keep in mind that exponent which is 3 only apply to the values which are into the parenthesis and this values are the x and 8
7x³ + 8 ↔ 8 added to the product of 7 and x cubed: for this equation, you will find that 7 is multiplying to the x elevated to the cube after that, the 8 is added to this product.
(7x)³ + 8 ↔ 8 added to the cube of 7x: this final we can see that the values into the parenthesis are elevated to cube, the values are 7 and x, after this equation the 8 is added to the product.
Amount of grass in the backyard is 0.641 square yards
<h3>
What is a square?</h3>
Any 2-dimensional figure bounded by 4 sides whose all sides are equal and all the angles are 90° is called a square.
<h3>How to find the area of a square?</h3>
Area of a square can be found by squaring the length of one of its sides.
<h3>What is a rectangle?</h3>
Any 2-dimensional figure bounded by 4 sides whose opposites sides are equal and parallel and all the angles are 90° is called a rectangle.
<h3>How to find out area of a rectangle?</h3>
Area of a rectangle can be found by multiplying its length by its breadth.
<h3>How to calculate the area in the given problem?</h3>
The given figure is a combination of multiple figures.
- 1 square of length 3 cm on top
- 1 rectangle in the middle whose length is ( 2 + 3) cm = 5 cm, and breadth is 3 cm
- 1 larger rectangle at the bottom whose length is 10 cm and breadth is 3 cm.
- We will have to calculate these areas and sum up the areas to get the entire area.
- Area of the square at the top = ( 3 x 3) cm² = 9 cm²
- Area of the middle rectangle = ( 5 x 3) cm² = 15 cm²
- Area of the bottom rectangle = (10 x 3) cm² = 30 cm²
∴ Total area of the backyard = ( 9 + 15 + 30) cm² = 54 cm²
Amount of grass in the backyard = (54 x 0.109² ) square yards
= 0.641 square yards ( 1 cm = 0.109 yards)
Find out more information about area calculations here: brainly.com/question/1297098
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