1) Since we have the slope, and one point we can find that linear equation using this point-slope formula. Plugging them we have:
2) Note that we had to add 1 to both sides, to keep the "y "on the left.
3) Therefore, y=-9x+10 is the answer.
12, 17, 22... find the 35th term
1 answer:
Answer:
a₃₅ = 182
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 17 - 12 = 22 - 17 = 5
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 12 and d = 5 , then
a₃₅ = 12 + (34 × 5) = 12 + 170 = 182
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Answer:
Option b
Step-by-step explanation:
The following system of linear equations is shown
These are two different slope lines.
We find the cut points of both lines with the axes.
Cut with the x axis. (y = 0)
Cut with the y axis. (x = 0)
...................................................................
Cut with the x axis. (y = 0)
Cut with the y axis. (x = 0)
The solution to this system will be a point for which it is fulfilled that:
In the image, different graphs with intersections are shown.
Locate among the options, one that shows the two lines of the system of equations according to their intersections with the x and y axes.
Option b is the only one that shows the graph of the lines
Then, The point of intersection of both lines in the graph is:
(-5, 13)
Therefore the solution of the system of equations is: (-5, 13)
You can verify this by replacing the point in the relationship
Equality is satisfied
Finally the answer is the option b
Answer:
Step-by-step explanation:
First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc
The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:
It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.
Plug in the information we have to get the equation for this sequence:
Then, you can solve for the 15th term:
Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.