Answer:
61 , 63 , 65 , 67
Step-by-step explanation:
Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:
(x) + (x + 2) + (x + 4) (x + 6) = 256
First, simplify. Combine all like terms:
x + x + x + x + 2 + 4 + 6 = 256
4x + 12 = 256
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides of the equation:
4x + 12 (-12) = 256 (-12)
4x = 256 - 12
4x = 144
Next, divide 4 from both sides of the equation:
(4x)/4 = (144)/4
x = 144/4
x = 61
61 is your first number. Find the next 3 consecutive numbers:
x = 61
x + 2 = 63
x + 4 = 65
x + 6 = 67
Check:
61 + 63 + 65 + 67 = 256
256 = 256
~
Sum of infinite series of a GS is a1 / (1-r)
so here it is 65 / (1 - 1/6) = 65 / 5/6 = 65*6 / 5 = 78 answer
Answer:
x = 39.1
Step-by-step explanation:
mean = average off all the numbers =
sum of the numbers / amount of numbers.
35 = sum of the #'s / # of #'s
35 = 100.9 + x / 4
35 × 4 = 100.9 + x / 4 × 4
140 = 100.9 + x
140 – 100.9 = 100.9 + x – 100.9
39.1 = x
x = 39.1
The factors of 96 are 3,5,7
Answer:
See attachment.
Step-by-step explanation:
f(x) = 6x - 3
y = 6x - 2
Switch out x for y.
x = 6y - 2
Solve for y.
x + 2 = 6y
= y
Graph.