Answer:
g(x) = x² + 5x + 2
Step-by-step explanation:
If a function is f(x) = x²
And this function is shifted 4 units left then the rule to be followed is,
g(x) = f(x + 4)
Following the same rule,
For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,
g(x) = f(x + 4)
g(x) = (x + 4)² - 3(x + 4) - 2
= x² + 8x + 16 - 3x - 12 - 2
= x² + 5x + 2
Therefore, g(x) = x² + 5x + 2 will be the transformed function.
Answer:
A. 282
Step-by-step explanation:
A trick I know is if you add all the digits of the number and they add up to a multiple of 3, it is divisible by 3.
282:
2 + 8 + 2 = 12
187:
1 + 8 + 7 = 16
385:
3 + 8 + 5 = 16
412:
4 + 1 + 2 = 7
Answer:
The distance is 8 units because if you start at (-5,2) you will have to go up 8 units to get to (-5,10)
Step-by-step explanation:
Proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction. I googled this so it may not be correct
Answer:
x = 
Step-by-step explanation:
Given
+ 
= 1
Multiply through by ab to clear the fractions
bx + ax = ab ← factor out x from each term on the left side
x(b + a) = ab ← divide both sides by (b + a)
x =
