Answer:
9, 11, 13
Step-by-step explanation:
We can rephrase an odd number into an algebraic equation of (2n+1)
Therefore, 3 consecutive odd numbers would be written as:
(2n+1), (2n+3), (2n+5)
We can then rewrite the question as:
3 x (2n+1) = 2 x (2n+5) + 1
Work out the equation to find n:
6n + 3 = 4n + 10 + 1
(minus 4n from both sides)
2n + 3 = 11
(minus 3 from both sides)
2n = 8
(divide both sides by 2 to get)
n = 4
To find the original 3 consecutive numbers, we just input (4) into (2n+1), (2n+3), (2n+5) to get:
(8+1), (8+3), (8+5)
= 9, 11 and 13
Answer:
see attached
Step-by-step explanation:
The answer is in below picture
The council tax bill before the increase is £1240
The equation that represents the percentage increase in council tax bill is :
percentage increase x t = £62
Where t represents the initial council tax bill - council tax bill before the 5% increase
5% x t = £62
0.05 x t = £62
Divide both sides of the equation by 0.05
t = £62 / 0.05 = £1240
To check if the answer derived is correct : 5% x 1240 = 62.
A similar question was answered here: brainly.com/question/12066598?referrer=searchResults
Answer:
f(x) = - 8
Explanation:
The given function is
f(x) =2x^2 -4x -6
The first step is to find the derivative of the function. Recall, if
y = ax^b
y' = abx^(b - 1)
Thus,
f'(x) = 4x - 4
We would equate f'(x) to zero and solve for x. We have
4x - 4 = 0
4x = 4
x = 4/4
x = 1
We would substitute x = 1 into the original function and solve for f(x) or y. It becomes
f(1) =2(1)^2 -4(1) - 6 = 2 - 4 - 6
f(1) = - 8
Thus, the minimum value is f(x) = - 8
