Answer:
it can either be written as x > -1 and x < 2 or as -1 < x < 2.
Step-by-step explanation:
The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.
Answer:
The maximum height attained by the ball is of 180 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point
In which
Where
If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is .
In this question:
We have that:
Which is a quadratic equation with .
The maximum height is the value of s, which is the output, at the vertex. So
The maximum height attained by the ball is of 180 feet.
Answer:
the square rug will cover 0.33 square feet more
Step-by-step explanation:
The area of a rectangle is the product of its length and width. The area of the rectangular rug is ...
(4.8 ft)(8.2 ft) = 39.36 ft^2
Similarly, the area of the square rug is ...
(6.3 ft)(6.3 ft) = 39.69 ft^2
The square rug has the larger area by ...
39.69 -39.36 = 0.33 . . . square feet
Answer:
42% of 150 is 63.
Explanation:
63/150 = 42/100
42/100 is equal to 21/50.
21/50 x 150 = 63.
63/150 = 21/50