Answer:
1. As definition, in a function, the set of all possible inputs or possible x values is called the domain.
=> Option 2 is correct.
2. As definition, in a function, the set of all possible outputs or possible y values is called the range.
=> Option 3 is correct.
3. You pay a fixed amount of 70$ and 3$ for each movie.
=> A function that models the total cost: y = 70 + 3x
=> Option 1 is correct
4. Similar to the 3rd, you pay a fixed amount of 5$ to enter and 2$ for each ride.
=> A function that models the total cost: y = 5 + 2x
=> Option 3 is correct.
5. The average rate of change (R) of f(x) = x2 + 1 from x = 0 to x = 3 is actually the rate of change of line passes (0, 1) and (3, 10) as shown in picture.
=> R = (10 - 1)/(3 - 0) = 9/3 = 3
=> Option 1 is correct.
6. As property of vertical line: 75 = x - 10 + 20
=> x = 75 + 10 - 20 = 65 deg
As property of complement angles: 75 + y = 180
=> y = 180 - 75 = 105 deg
=> Option 2 is correct.
7. Yes, the two triangles are congruent (Side-Angle-Side case) with two sides are equal and the pair of angles created by those pair of 2 sides are also equal.
Hope this helps!
:)
Answer:
Step-by-step explanation:
Arithmetic sequence:
Here a is the first term and d is the common difference.
⇒ 
------------(I)
⇒ a + 19d = 100 ---------(II)
Subtract equation (I) from (II)
(I1) a + 19d = 100
(II) a + 13d = 46
<u>- - -</u>
6d = 54
d = 54 ÷ 6
Substitute d = 9 in equation(I) and find 'a',
a + 13*9= 46
a + 117 = 46
a = 46 - 117
a = -71
= -71 + 18
= -53
= -71 + 54
= -17
= -71 + 9*n - 1 *9
= -71 + 9n - 9
= -71 - 9 + 9n
= - 80 + 9n
Answer:
<u>4.77 in.</u>
Step-by-step explanation:
Height = volume / πr²
= 60 / 3.14 x 4
= 15/3.14
= <u>4.77 in.</u>
