Answer: the function that has the smaller minimum is g(x), and the cordinates are (0,3)
Step-by-step explanation:
We have a function for f(x) and a table for g(x)
first, quadratic functions are symmetrical.
This means that if the minimum/maximum is located at x = x0, we will have that:
f(x0 + A) = f(x0 - A)
For any real value of A.
Then when we look at the table, we can see that:
g(-1) = 7
g(0) = 3
g(1) = 7
then the minimum of g(x) must be at x = 0, and we can see that the minimum value of g(x) is 3.
Now let's analyze f(x).
When we have a quadratic equation of the shape.
y = a*x^2 + b*x + c
the minimum/maximum will be located at:
x = -b/2a
In our function we have:
a = 3
b = 6
then the minimum is at:
X = -6/2*3 = -1
f(-1) = 3*(-1)^2 + 6*-1 + 7 = 3 - 6 + 7 = 3 + 1 = 4
Then the function that has the smaller minimum is g(x), and the cordinates are (0,3)
let y = x^2
4y^2 -21y + 20 = 0
solve for y
then substitute back in to get x
Answer:f=1800/d Inverse proportion function. Provided f is in pounds & d is in inches.
Step-by-step explanation: the relationship between f & d is inverse proportion.
A constant k has to be derived from the relationship.
If f is inversely proportional to d then f=k(1/d)
K= f X d
= 50 X 36
=> constant K=1800.
Area of a triangle = 1/2 x base x height
.
Area = 1/2 x 4 x 3 = 6 cm²
.
Answer: Area = 6 cm²
Answer:
1 is linear, 2 is linear, 3 is not linear, 4 is not linear
