Answer:
the first term is 4
Step-by-step explanation:
Given
G(3) = 36
G(6) = 972
Solution:
General formula for geometric series
G(x) = AB^x
From given data: G(6)/G(3) = 972/36 = 27
From formula: G(6)/G(3) = AB^6/(AB^3) = B^3
Therefore
B^3 = 27
B=3
Hence
G(1) = AB^1 = AB^3/B^2=36/3^2=36/9=4
Ans: the first term is 4
To find the equation of the line, we are going to use the point-slope form, which is listed below:
![(y - y_1) = m(x - x_1)](https://tex.z-dn.net/?f=%28y%20-%20y_1%29%20%3D%20m%28x%20-%20x_1%29)
is a point on the line
is the slope of the line
You may notice that we have a point, but no slope is given to us. However, the problem states that the line is parallel to the equation
, which means that it has the same slope as this line, which is 3. (Remember that this line is set up in
form, where
is the slope)
Thus, we can now insert our values into the point-slope formula to find the equation of our line.
![(y + 1) = 3(x - 4)](https://tex.z-dn.net/?f=%28y%20%2B%201%29%20%3D%203%28x%20-%204%29)
![(y + 1) = 3x - 12](https://tex.z-dn.net/?f=%28y%20%2B%201%29%20%3D%203x%20-%2012)
![y = 3x - 13](https://tex.z-dn.net/?f=y%20%3D%203x%20-%2013)
The problem made it clear that it didn't want the form
, so let's put it in standard form:
![y = 3x - 13](https://tex.z-dn.net/?f=y%20%3D%203x%20-%2013)
![3x - y = 13](https://tex.z-dn.net/?f=3x%20-%20y%20%3D%2013)
The equation of our line is
.
Answer: the base is 3
Step-by-step explanation: the exponent is the little number on the top right. the base is the bigger
Answer:
Edward can type 1000 words in 20 minutes
Step-by-step explanation:
to figure out how many words he types in a minute you divide 350/7 to get 50 words in a minute. than you multiply (*) it by 20 minute to get the answer.
They are inversely proportional hence v=s/t