Answer:
f(x) = 3x - 7
Step-by-step explanation:
Let the independent variable of a function is 'y' and dependent variable 'x'.
Therefore, function will be in the form of y = ax - b
Now statement given in the question states that "The output is 7 more than 3 times the input."
That means y is 7 less than 3 times of x.
y = 3x - 7
Rewrite this equation in the form of a function.
f(x) = 3x - 7
The Mathematical statement which includes addition, subtraction and multiplication:
→4+8x(18+5)+18+(8x4x5)+0x(5+3)
= 4 + 8 × 18 + 8 × 5 + 18 +(32 × 5) + 0 × 5 + 0 × 3 → [ Using distributive property which is , a × (b +c)= a × b + a × c, and (p × q × r)= [ (p × q) × r]
= 4 + 144 + 40 + 18 + 160 + 0 + 0
= 148 + 58 + 160 → [ Using addition property of natural numbers, as you can add natural numbers in any order]
= 206 + 160
= 366
Answer:
to know the average of the data set
Step-by-step explantion:
i dont know :)
Answer:
a₄ = - 
Step-by-step explanation:
In a geometric sequence, the common ratio r is calculated as
r = 
= 
, substitute values
= 
( cross- multiply )
(2x + 2)² = x(3x + 3) ← expand both sides
4x² + 8x + 4 = 3x² + 3x ( subtract 3x² + 3x from both sides )
x² + 5x + 4 = 0 ← in standard form
(x + 1)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 4 = 0 ⇒ x = - 4
However x ≠ - 1 as this would make the denominator of the second term equal to zero and therefore undefined.
Thus x = - 4 and
r = 
= 
= 
= 
Then
a₁ = - 4
a₂ = - 4 × = - 6
a₃ = - 6 × = - 9
a₄ = - 9 × = -
See picture for solution steps and answer.
