The equation of the function g(x) is g(x) = x - 1
<h3>How to determine the
equation of the
function g(x)?</h3>
The given parameters are:
f(x) = x - 5
The above function f(x) is translated left by 4 units
So, we have
g(x) = f(x + 4)
This gives
f(x + 4) = x + 4- 5
Evaluate the sum
f(x + 4) = x - 1
So, we have:
g(x) = x - 1
Hence, the equation of the function g(x) is g(x) = x - 1
Read more about function transformation at:
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You can because you already know the number is 3 and the blank number is n
Answer: x = 4 and x = -3/2
Procedure:
1) Given: 2x^2 - 5x - 12 = 0
2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0
3) Rearrange: (2x)^2 -5(2x) - 24 = 0
4) Notice that the common factor is (2x)
5) Set the parenthesis with the common factor inside:
(2x ) (2x ) =0
6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)
(2x - )(2x + ) = 0
7) find two numbers that sum up - 5x and its product is -24.
- 8 + 3 = - 5
(-8)(+3) = -24
=> the numbers in the factors are -8 and +3
(2x - 8) (2x + 3) = 0
That is the factored equation. Now you can solve
8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4
b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2
Answer: the two solutions are x = 4 and x = -3/2
Answer:
last Monday is 27
Step-by-step explanation:
perfect square: 4, 9 , 16
2nd Thursday is a day >5 and < 14 day from the begining of the month, therefore the only day fit the criteria is 9th of the month.
last Monday is 27
Sun Mon Tue Wen Thu Fri Sat
9 10 11
12 13 14 15 16 17 18
.........................................................
26 27