Answer:
The answer to your question is:
Domain: (-∞, ∞)
Range: [10, ∞)
Step-by-step explanation:
Data
Graph y = 5x² + 3x + 10
Process
As it is suggested, let's use a graphing calculator. But we can sketch that because it is a quadratic equation, then the graph will be a parabola that opens upwards.
See the graph below.
Domain: are the possible values of the independent variable.
Range: are the reslunting values of the dependent variable.
Then
Domain : (- ∞, ∞) It is an open interval because -∞ and ∞ are
not included.
Range : [10, ∞) It is close because 10 is included.
Answer:
Step-by-step explanation:
Given
Required
Find x
First, we calculate the amount paid in terms of the cost price.
This is calculated using:
Express as decimal
Open bracket
So, we have:
and
---- given
Equate both
Collect like terms
Solve for x
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