<h3>
Answer: 4865</h3>
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Explanation:
The sequence {3,11,19,...} is arithmetic since we are adding 8 to each term to get the next one
etc. This means the common difference is d = 8.
The first term is a = 3
Let's use this formula
S = n*(2*a + d(n - 1) )/2
so we can find the sum of the first n terms. In this case, n = 35
So,
S = n*(2*a + d(n - 1) )/2
S = 35*(2*3 + 8(35 - 1) )/2
S = 35*(6 + 8(34))/2
S = 35*(6 + 272)/2
S = 35*(278)/2
S = 35*139
S = 4865
Answer:
Factor x^2−8x−48 using the AC method.
(x−2) (x+4)
Answer:
Option (2). Increasing x > 0; decreasing x < 0
Step-by-step explanation:
Equation of the parabola having vertex (0, 3) will be,
y = (x - 0)² + 3
y = x² + 3
To check the function is increasing or decreasing in the given intervals we will find the derivative of the function,
y' = 2x
For x < 0 Or x = -1
y' = 2(-1)
= -2 < 0
Therefore, function is decreasing in x < 0
For x > 0 Or x = 1
y' = 2(1) + 3
= 5 > 0
Therefore, function is increasing in x > 0
Option (2) is the answer.
Answer:
x = 2
Step-by-step explanation:
180= 90 + 57 + Z
Z = 180 - 90 - 57
Z = 33
33 = 7X + 19
7X = 33 - 19
7X = 14
X = 2
