B(x) = |3-x|+1
b(10) means that we need to replace x by 10:
b(10) = |3-10|+1
As you can notice, 3-10 is between the lines of the absolute power. So if the answer is positive, you keep positive. If the answer is negative, you transform it to positive. |a| = a and |-a| = a. So |a|=|-a|.
So |3-10| = |-7| = |7| = 7.
b(10) = |3-10|+1 = 7 + 1 = 8.
So the value of b(10) when b(x)=|3-x|+1 is 8.
Hope this Helps! :)
The recursive formula of the sequence is aₙ = aₙ₋₁ - 30
<h3>How to determine the
recursive formula of the sequence?</h3>
From the question, we have the following sequence that can be used in our computation:
67 ,37 ,7, -23, -53
In the above sequence, we can see that the 30 is subtracted from the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ = aₙ₋₁ - 30
The above represents the recursive rule
Hence, the recursive rule of the function is aₙ = aₙ₋₁ - 30
Read more about sequence at
brainly.com/question/7882626
#SPJ1
Let the first number of the five we are looking for equal n.
Because the numbers are consecutive, the next four can be expressed as (n+1), (n+2), (n+3) and (n+4).
Our series of 5 numbers is therefore n,(n+1),(n+2),(n+3),(n+4).
We are told the sum of the squares of the first 3 is equal to the sum of the squares of the last 2 therefore:
n² + (n+1)² + (n+2)² = (n+3)² + (n+4)²
expand all the brackets to give
n² + n² + 2n + 1 + n² + 4n + 4 = n² + 6n + 9 + n² + 8n + 16
3n²+6n+5 = 2n²+14n+25
n²-8n-20=0
factorising this gives us
(n+2)(n-10) = 0 so the solutions are n=10 and n=-2
That means that n,(n+1),(n+2),(n+3),(n+4) could be [-2, -1, 0, 1 and 2] or [10, 11, 12, 13 and 14].
Since the question asks for whole numbers, and negative numbers are not classed as whole numbers, the numbers we want must be 10, 11, 12, 13 and 14.
You can check this on a calculator by doing 10² + 11² + 12² (=365) and 13² + 14² (=365).
Answer:
slope = - 4
Step-by-step explanation:
calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (4, - 9 ) and (x₂, y₂ ) = 1, 3 )
m = 
= 
= 
= - 4
Area of the sheet used to make the tank = total surface area of the cylinder = 2
r(r+h) = 2 x 22/7 x 63 x 263 = 104148 sq. cm.
