Answer:
390
Step-by-step explanation:
The formula of sum of arithmetic sequence is 
The number of this series are 2, 4, 6, 8, 10, 12, . . . . , 60.
The first term ( a ) = 2
The 30th even number is 60
The Tn is the term of the sequence
So the equation is
30/2 x ( 2 + 
)
= 60
30/2 x ( 2 + 60 )
30/2 x (62)
1860/2
390
To find the equation of a line that is parallel to your original equation and goes through a certain point on a graph, here's what you need to know:
First you need to find the slope of your original equation.
To do that, you need to convert it to slope intercept form (y = mx+b).
Add the x over, and then divide everything by 5 to get the y by itself.
Here's what that would look like (without the small steps that I mentioned):
-x + 5y = 25
5y = x + 25
y = 1/5x + 5
That's the original equation rewritten in slope intercept form.
The m represents the slope, so this equation's slope is 1/5.
Because you are given a point, and now you have a slope, the best and easiest route is using point slope form.
I've seen different versions of the equation base but I prefer y - y(sub1) = m(x - x(sub1))
But since I can't use subscripts in this, I'll use the one with h and k. The h is the x value of the point, and the k is the y value.
(h,k)
Then just substitute the values in and solve for y.
y - k = m(x - h)
y + 5 = 1/5(x + 5)
y + 5 = 1/5x + 1
y = 1/5x - 4
Your final answer is
y = 1/5x - 4
You can double check by using a graph. If the slopes are the same, the lines should be parallel.
I hope that helps. If anything didn't make sense, feel free to ask me.
Part 1We are given
. This can be rewritten as
.
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
The values of x are
Part 2Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a
quadratic function. Part 3.The first equation is
.
The second equation is
.
We have
Factoring, we have
Equating both factors to zero.
When the value of x is 6, the value of y is
When the value of x is -3, the value of y is
Therefore, the solutions are (6,38) or (-3,11)
Answer:
What is the question so we can answer
Answer:
Linear Decreasing
Step-by-step explanation:
Exponential graphs are curved, but this line is straight, so it's linear. It's decreasing since the graph moves from left to right, and as you can see, the line starts from the left tall but gradually goes lower as it goes towards the right.
