Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)
<h3>What are
equivalent functions?</h3>
Equivalent functions are different functions that have equal values when evaluated and compared
<h3>How to determin the equivalent function that best shows the x-intercepts on the graph?</h3>
The function is given as:
f(x) = 36x^2 - 1
Express 1 as 1^2
f(x) = 36x^2 - 1^2
Express 36x^2 as (6x)^2
f(x) = (6x)^2 - 1^2
Apply the difference of two squares.
This is represented as:
(a + b)(a - b) = a^2 - b^2
So, we have the following equation
f(x) = (6x - 1)(6x + 1)
Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)
Read more about equivalent function at:
brainly.com/question/2972832
#SPJ1
Answer:
Step-by-step explanation:
we know that
The area of the right triangle ABC is equal to
we have
substitute the values
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
therefore
The solution is
Answer: 44%
Step-by-step explanation:
For a circle of radius R, the area is written as:
A = pi*R^2
Where pi = 3.14
If we increase the radius by 20%, the new radius will be:
R´ = R + 0.20*R = 1.20*R
The new area will be:
A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2
= 1.44*pi*R^2
And pi*R^2 = A, the original area, then_
A´ = 1.44*A = A + 0.44*A
This means that the percentage in which the area increased is:
0.44*100% = 44%
Answer:
y = 0.8x + 0.5
Step-by-step explanation:
First, find the slope using two pairs of values, (0.5, 0.9) and (0.75, 1.1):
m = 0.8
Find y-intercept, b, by substituting x = 0.5, y = 0.9 and m = 0.8 into y = mx + b
Thus:
0.9 = (0.8)(0.5) + b
0.9 = 0.4 + b
0.9 - 0.4 = b
b = 0.5
To write the equation substitute m = 0.8, and b = 0.5 into y = mx + b.
Thus:
y = 0.8x + 0.5
