Answer: 8
Step-by-step explanation:
6x-3=45
6x=48
x=8
The table of values corresponding to the linear function that goes through (0, -2) and (2,0) is has points (x,y) in the following format:
(x, x - 2).
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The line goes through (0,-2), hence the y-intercept is b = -2. The slope is given by:
m = (0 - (-2))/(2 - 0) = 2/2 = 1.
Hence the equation is:
y = x - 2.
Thus the points on the table are related as follows:
(x, x - 2).
For example
x f(x)
0 -2
1 -1
2 0
3 1
4 2
5 3
And so on...
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
Step-by-step explanation:
We have the geometric sequence:
2, 6, 18, 54 ...
And we want to find S8, or the sum of the first eight terms.
The sum of a geometric series is given by:
Where <em>n</em> is the number of terms, <em>a</em> is the first term, and <em>r</em> is the common ratio.
From our sequence, we can see that the first term <em>a</em> is 2.
The common ratio is 3 as each subsequent term is thrice the previous term.
And the number of terms <em>n</em> is 8.
Substitute:
And evaluate. Hence:
The sum of the first eight terms is 6560.
Mr.chen drove 23 miles south from where he started. 3.25×50=162.5 is what you have to do first because it said that he drove north for 3.25 hours and each hour he drives for 50 miles. Then you have to subtract 162.5 from 185.5 so that you get how far he drove from where he started. 185.5 - 162.5= 23. So he drove 23 miles south from where he started. I hope this helps.
5 - 8 would be a negative answer
think of it as a bank account if you $5 in the account and you take away $8, how much would you have after? $-3 so your answer would be -3
and same with -5-(-3)
this would be -2