Solution: (1)The interval notation of is .
Explanation:
The product of two expression is positive if and only if both are positive or both are negative.
case 1: and
Then and
From above conditions .
case 2: and case 2:
Then and
From above conditions .
By case 1 and 2 it is conclude that the interval notation of is .
Solution: (2) The interval notation of is .
Explanation:
The relative equation of the above inequality is
Equate each factor equal to 0. The zeros of above equation is -7,-1 and 1. These points divides the number line in 4 parts or intervals. The any value from those interval to check the inequality. If the test point satisfies the equality then that interval is the solution of the inequality.
By the above process the interval notation of is .
Solution: (3) The ball is lower than the building for .
Explanation:
The height of the ball is given by the equation and the height of the building is 280ft.
The ball is lower than the building if the height of the ball is less than 280ft, i.e., .
The time is always positive, so the first factor 16t is always positive. Since first factor is positive and the product of both factors is less than zero, therefore the second factor (-t+3) is always less than zero.
Therefore, the ball is lower than the building for .
The value of w, x, y, and z will be 57°, 57°, 66°, and 57°. Then the value of the expression will be 237°.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The diagram is given below.
Given ΔABC with BA extended to D, AB = AC and AE bisects ∠DAC.
x = ∠DAE = ∠EAC = 57°
The sum of linear angles is 180 degrees.
∠DAE + ∠EAC + ∠CAB = 180°
57° + 57° + ∠CAB = 180°
∠CAB = 66°
y = 66°
Then the triangle is an isosceles triangle. Then the angle z and w will be equal.
w = z
Then we have
Angle sum of triangle is 180 degrees.
z + w + 66° = 180°
2z = 114°
z = w = 57°
Then the value of the expression will be
⇒ w + x + y + z
⇒ 57° + 57° + 66° + 57°
⇒ 237°
More about the triangle link is given below.
brainly.com/question/25813512
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Liabilities are what someone owes and assets are what someone owns and is worth something. The house is an asset and the car loan is a liability. According to the numbers provided the assets have an increase of $6,000 with +10,000 from the house and -4,000 from the car. And liabilities had a decrease of $25,500 with a -$29,000 from mortgage and car loans and a +3,500 from the savings account and debt. So assets increase and liabilities decrease.