Answer:
3 and 9
if f(x)=x^2+13 and g(x)=12x-14
Step-by-step explanation:
So when we are looking for the intersection of two functions, we are trying to figure out when they are the same. When you think same, you should think equal (=).
So we want to find when f(x)=g(x) for x.
f(x)=g(x)
Let's get everything to one side.
Subtracting 12x and adding 14 to both sides.
I'm going to reorder the left hand side and also simplify the 13+14 part:
Now since the coefficent of x^2 is just 1 our job is to find two numbers that multiply to be 27 and add up to be -12.
Those numbers are -3 and -9 since -3(-9)=27 and -3+(-9)=-12.
So the factored form of our equation is
Since the product is 0, then at least one of the factors must be 0.
So we want to solve both x-3=0 and x-9=0.
x-3=0 can be solved by adding 3 on both sides. This gives us x=3.
x-9=9 can be solved by adding 9 on both sides. This gives us x=9.
The intersection of f and g happens at x=3 or x=9.
The age of Kwaku is 8 years old , Esi is 13 years old and Kojo is 26 years old.
<h3>What is an Equation ?</h3>
An equation is a statement that contains algebraic expressions equated by an equal sign with constants or other variables.
Let the age of Kwaku is x
Let the age of Esi is y
From the given data
The age of Kojo is 2y
y = x +5
Sum of their age = 47
2y = 2x +10
therefore the equation formed is
x + y +2y = 47
x + x+5 + 2x +10 = 47
4x +15 = 47
4x = 32
x = 8
y = 13
2y = 26
Therefore Kwaku is 8 years old , Esi is 13 years old and Kojo is 26 years old.
To know more about Equation
brainly.com/question/10413253
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To find a vertical asymptote set the denominator = to zero.
x + 2 = 0
x = -2
The vertical asymptote is at x= -2
Use this method it on the pg number 125 of ncert book
Answer:
1/10
Step-by-step explanation:
First, combine 4 - 11/3; the LCD here is 3, so we have 12/3 - 11/3, or 1/3.
Next, combine 4 - 2/3; we end up with 12/3 - 2/3, or 10/3.
Now the numerator 1/3, divided by the denominator 10/3, is 1/10.