The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:
S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.
Answer:
The range is f(x) ≥ 0
Step-by-step explanation:
The range of the function is defined as the set of values of the dependent variable for which the function is defined.
Here the function f(x) = 1/2 √x is defined for all values of x which are greater than or equal to zero or we can say all non-negative real numbers.
So, the range is f(x) ≥ 0
Step-by-step explanation:
8x+8−3(x+4)−7(2−x)
8x+8−(3x+12)−7(2−x)
8x+8−(3x+12)−(14−7x)
8x+8−3x−12−14+7x
(8x−3x+7x)+(8−12−14)
12x-18
Answer:
Option 2: AAS is the right answer
Step-by-step explanation:
In the diagram, two triangles are given with two angle measurements and one non-included side.
It can also be seen that the respective angles of both triangles have same measurement and the non-included side is also congruent.
AAS Postulate:
"AAS postulate states that when two angles and one excluded side are congruent in two triangles then the triangles are congruent."
Hence,
Option 2: AAS is the right answer
Eli has 7 bottles of water.
He will buy more bottles of water from the store. The store has 8 cases in
stock and each case contains 24 bottles of water. The store will not sell
partial cases. The function that models the number of bottles of water Eli will
have after his purchase is f(c)=24c+7, where c is the number of cases of water
he buys.
<span>The practical domain of the
function is all positive integer because c represents the number of case, and
there is no negative number of case and it is not sold in partial so only
positive intger can satisfy the given function.</span>
