Answer:
48
Step-by-step explanation:
Vertical angles are congruent
7x - 22 = 4x + 8 {Add 22 to both sides}
7x = 4x + 8 + 22
7x = 4x + 30 { subtract 4x from both sides}
7x - 4x = 30
3x = 30
x = 30/3
x = 10
4x + 8 = 4*10 + 8
= 40 + 8
= 48
7x - 22 = 7*10 - 22
= 70 - 22
= 48
Piecewise Function is like multiple functions with a speific/given domain in one set, or three in one for easier understanding, perhaps.
To evaluate the function, we have to check which value to evalue and which domain is fit or perfect for the three functions.
Since we want to evaluate x = -8 and x = 4. That means x^2 cannot be used because the given domain is less than -8 and 4. For the cube root of x, the domain is given from -8 to 1. That meand we can substitute x = -8 in the cube root function because the cube root contains -8 in domain but can't substitute x = 4 in since it doesn't contain 4 in domain.
Last is the constant function where x ≥ 1. We can substitute x = 4 because it is contained in domain.
Therefore:
![\large{ \begin{cases} f( - 8 ) = \sqrt[3]{ - 8} \\ f(4) = 3 \end{cases}}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%20%5Cbegin%7Bcases%7D%20f%28%20-%208%20%29%20%3D%20%20%20%5Csqrt%5B3%5D%7B%20-%208%7D%20%20%5C%5C%20f%284%29%20%3D%203%20%5Cend%7Bcases%7D%7D)
The nth root of a can contain negative number only if n is an odd number.
![\large{ \begin{cases} f( - 8 ) = \sqrt[3]{ - 2 \times - 2 \times - 2} \\ f(4) = 3 \end{cases}} \\ \large{ \begin{cases} f( - 8 ) = - 2\\ f(4) = 3 \end{cases}}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%20%5Cbegin%7Bcases%7D%20f%28%20-%208%20%29%20%3D%20%20%20%5Csqrt%5B3%5D%7B%20-%202%20%5Ctimes%20-%20%202%20%5Ctimes%20%20%20-%202%7D%20%20%5C%5C%20f%284%29%20%3D%203%20%5Cend%7Bcases%7D%7D%20%5C%5C%20%20%5Clarge%7B%20%20%5Cbegin%7Bcases%7D%20f%28%20-%208%20%29%20%3D%20%20-%202%5C%5C%20f%284%29%20%3D%203%20%5Cend%7Bcases%7D%7D)
Answer
Answer: 7/8 + 4/8 = Exact form- 11/8
Decimal form- 1.375
17/25 - 9/25 = Exact form- 8/25
Decimal form- 0.32
63/46 - 81/46 = Exact form- -9/23
Step-by-step explanation: Hope this helped.
2/6 because that is less than one, denominator of 6, and greater than 3/4
Answer:
the slope is 8/7 and the y-intercept is 300
Step-by-step explanation:
The y-intercept is 300 because that is where the estimated line of bets fit (the red line) crosses the y-intercept.