Answer:
1)
2)
Step-by-step explanation:
1) To write an Arithmetic Sequence, as an Explicit Term, is to write a general formula to find any term for this sequence following this pattern:
<em>"Write an explicit formula for each explicit formula A(n)=-1+(n-1)(-2)"</em>
This isn't quite clear. So, assuming you meant
Write an explicit formula for each term of this sequence A(n)=-1+(n-1)(-2)
As this A(n)=-1+(n-1)(-2) is already an Explicit Formula, since it is given the first term the common difference let's find some terms of this Sequence through this Explicit Formula:
2) In this Arithmetic Sequence the common difference is 8, the first term value is 4.
Then, just plug in the first term and the common difference into the explicit formula:
12+4+9+13+7+11+5+2+_+_ /10= 8
x10 both sides
12+4+9+13+7+11+5+2+_+_=80
63+_+_=80
-63 both sides
_+_= 17
any two numbers that add up to 17 can go in the planks
7,10
The graph of the Evan's data is attached below.
Dylan noted the time of day and the temperature, in degrees Fahrenheit, and his findings are as follows: At 6 a.m., the temperature was 58° F. For the next 3 hours, the temperature rose 1° per hour. For the next 4 hours, it rose 2° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 2° per hour. The temperature then dropped steadily until the temperature was 62° at midnight. The data points are in the form of time and temperature. The data points are 6 AM = 58, 7 AM = 59, 8 AM = 60, 9 AM = 61, 10 AM = 63, 11 AM = 65, 12 PM = 67, 1 PM = 69, 6 PM = 69, 7 PM = 67, 8 PM = 65, 9 PM = 63, and 12 AM = 62.
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Answer : (0, -3) ; (4,21) and (2,9)
Step-by-step explanation:
y = 6x- 3
- y =0*x-3 = -3 (0,3) is not a possible set
- y = 1*6-3 = 3 (1,-9) is not a possible set
- y = 6*2-3 = 9 (2,-15) is not a posiible set
- (0.-3) is a possible set as verified in the first one
- (2,15) is not a possible set since the output of 2 is 9
- y = 4*6-3 = 21 so (4,21) is possible set
- (2,9) is a possible set as verified in the third one
This is so easy that it's confusing, and NOBODY ever gets it right
the first time they see it.
Inside the parentheses are two numbers. The first number is a value
for 'x', and the second number is a value for 'y', and they have to be
numbers that when you put them into the equation in place of 'x' and 'y',
the equation becomes a true statement.
In this problem, you already know what 'x' is ... it's -1 . Now, can you find
a value for 'y' that makes the equation true ?
Let me ask you that question again. It's <em>very, very important</em>:
The equation is . . . . . <em>Y = 8</em> . . . . . Can you find a value for 'y' that makes
this equation a true statement ?
Do you give up ?
Well, how about ' 8 ' ?
If you put ' 8 ' in place of 'y' in the equation, then the equation says . . . 8 = 8 . . . and that's true !
In fact, if you put <u>any other number</u> except '8' in place of 'y', then the
equation is <em>not </em>true. 'Y' must be 8 . It doesn't matter what 'x' is.
'X' is not even in the equation. It has no effect on 'y'.
'X' and 'y' don't even know about each other. They're not related in
any way, and nobody cares what 'x' is.
'Y' is ALWAYS 8 ... that's exactly what the equation is telling you . . . <em>Y = 8</em> .