Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
2 answers:
Answer:
Option (D) is correct.
No, They will not intersect.
Step-by-step explanation:
Given Points for g(x), (1,2) , (2,4) and (3,6)
Since g is a linear function then it must be in form of g(x) = mx +c where, c is constant and m is slope.
We first calculate the slope using,
Here, consider
Substitute above, we get slope as,
Thus, equation becomes g(x) = 2x + c ...(1)
For c plug the values in (1),
(1,2) ⇒ 2= 2 + c ⇒ c = 0
Thus, Equation of G(x) is 2x.
When we plot it it do not intersect f(x).
Thus, Option (D) is correct.
No, They will not intersect.
You might be interested in
<h3>Answer: Choice A</h3>
=====================================================
Explanation:
The fourth root of x is the same as x^(1/4)
I.e,
The same applies to x^10 as well
Multiply the exponents 10 and 1/4 to get 10/4
-----------------------
If we have an expression in the form x^(m/n), with m > n, then we can simplify it into an equivalent form as shown below
The 'a' and 'b' are found through dividing m/n
m/n = a remainder b
'a' is the quotient, b is the remainder
-----------------------
The general formula can easily be confusing, so let's replace m and n with the proper numbers. In this case, m = 10 and n = 4
m/n = 10/4 = 2 remainder 2
We have a = 2 and b = 2
So
turns into
which means