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Lynna [10]
3 years ago
7

10, 4. -2, -8 in an explicit formula

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

Answer:

16 - 6n

Step-by-step explanation:

10 , 4 , -2 , - 8 .....

This is arithmetic sequence

first term = 10

Common difference = 2nd term - first term

                          d    = 4 - 10

                            d = -6

nth term = a₁ + (n -1)d

              = 10 + (n - 1)*(-6)

             = 10 + n*(-6) - 1*(-6)

             = 10 - 6n + 6

             = 10 + 6 - 6n

             = 16 - 6n

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aalyn [17]

First you need to subtract 750-600= 150.

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6 0
3 years ago
Consider the following graph of h(x) , a piecewise function, and determine the following answers in interval notation.
erica [24]

Answer:

Use the digram in a double rift format to make out the number of the far number

Step-by-step explanation:

i told you

3 0
3 years ago
What is the gcf of 15 and 10
Zielflug [23.3K]
The gcf of 15 and 10 is 5
7 0
3 years ago
Read 2 more answers
A basketball player that shoots 80% from the free throw line attempts two free throws. The notation for conditional probability
taurus [48]

Answer:

P(made 2nd attempt|made 1st attempt)=P(made 2nd attempt)

Step-by-step explanation:

Here given that a basketball player that shoots 80% from the free throw line attempts two free throws.

If x is the no of shoots he makes (say) then we find that each throw is independent of the other.

In other words, because he made successful first attempt, his chances for second attempt will not change

Prob for success in each attempt remains the same as 0.80

Hence I throw is independent of II throw.

When A and B are independent,then we have

P(A/B) = P(A)

Hence answer is

P(made 2nd attempt|made 1st attempt)=P(made 2nd attempt)


8 0
3 years ago
SHOW ALL WORK BUT KEE IT SIMPLE AND EASY TO UNDERSTAND:)
7nadin3 [17]
To do this problem, you need to use a process called completing the square. Let me explain:  

To complete the square on the function f(x) = x² + 8x +13, first group the first two terms in (  )  and leave some space at the end as follows:
f(x) = (x² + 8x          ) + 13  Now our next step is to fill in the space and adjust our expression on the right hand side of the function.  To do this, we take half of the middle number 8 and then square it:  so 4² = 16 and we fill in our space inside the ( ) with this value 16;   
f(x) = (x² + 8x + 16) + 13  now what we have done is to increase the overall value of our expression on the right by 16, but we want the overall value to remain the same.  To fix this we simply need to subtract 16 at the end like this:  f(x) = (x² + 8x + 16) + 13 -16   we can simplify and get the following.
f(x) = (x² + 8x + 16) - 3   At this point we're almost done.. All we need to do now is to rewrite the what is in the parentheses in a slightly different form.  Here is what it will look like:  f(x) = (x + 4)² - 3  notice all I did was take the sum of the square root of x² and the square root of 16 originally in the (  ) to get then new expression inside the ( ) and then square that  ( )²

Now this is a nice form to have because you can get the vertex straight from this form.. IN FACT this is called vertex form or (h,k) form for short.  In general the form is f(x) = a(x - h)² + k  don't worry about the 'a'  for now.. you might see that in our case it is just 1 and will not effect our equation.  You only have to consider this if the original leading coefficient of the quadratic is not 1 to begin with...

So you can see that our vertex is (-4,-3)  
Hope this is helpful, but if you have questions let me know.
5 0
3 years ago
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