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.
By putting the x on one side then solve it
Answer:
line a and b are parallel
line c is not perpendicular because it is not 3
step-by-step explanation:
if the slope is the same it is parallel
if the slope is the complete opposite it is perpendicular
lines a and b are parallel with a slope of -1/3
(0, 5) (3, 4)
m = 4 - 5 / 3 - 0
m = -1 / 3
m = -1/3
(-1, 1) (2, 0)
m = 0 - 1 / 2 + 1
m = -1 / 3
m = -1/3
line c is perpendicular to lines a and b the slope is
(0, 0) (2, 5)
m = 5 - 0 / 2 - 0
m = 5/2
2.5
Answer:
Step-by-step explanation:
Given that EM company produces two types of laptop computer bags.
Let regular version produced be R and deluxe version be D
Total capital required
= 
Total labor hours required
=
Sales revenue = 
Solving the two constraints we have
10D 
140
D can be atmost 14 and hence R can be 49
Otherwise if D is made 0, R = 65 maximum
If R is made 0, D maximum is 46
Thus corner points are (65,0) (0.,46) or (49,14)
Sales revenue for (65,0) = 2990
(0,46) is 2530
(49,14) is 3024
Maximum when R =14 and D is 49
Answer:
Step-by-step explanation:
The number 2 goes into both 12 and 14.
Step-by-step explanation:
12 ÷ 2 is 6 and 14 ÷2 is 7 . You can't really simplify 14 by any other whole number besides 2 or 7 .
