Answer:
x = 2.5 or -0.8
Step-by-step explanation:
Here, we are to use completing the square method to solve for the values of x
Firstly, we divide through by 4
= x^2 -7/4x -2 = 0
Now, we move the two term to the right hand side
x^2 -7/4x = 2
Now, we divide the coefficient of x by 2 and square it;
That would be;
(-7/4 * 1/2)^2 = 49/64
we now add this value to both sides of the equation
x^2 -7/4x + 49/64 = 2 + 49/64
The right hand side can be rewritten as;
(x-7/8)^2 = 177/64
taking the square root of both sides
x-7/8 = √(177/64)
x = 7/8 ± √(177/64)
x = 7/8 + √(177/74) or 7/8 - √(177/64)
= x = 2.53802 or -0.788017
Which to the nearest tenth is
x = 2.5 or -0.8
After the value of y is 4 does the exponential function definitely surpasses the linear function.
What is exponential function?
A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.
Given
Use the graphing calculator to graph these functions: y1= 2x ; y2= 2x2 ; y3 = 2x.
As we can see y1=2x is a linear function and y3=2^x is a exponential function.
The graphs of y1 and y3 meet at 2 points i.e. at (1,2) and (2,4)
When you graph the equations their point of intersection is (2,4).
Therefore, when y > 4, the exponential function surpasses the linear function.
To know more about linear function click the link given below.
brainly.com/question/6714976
Well, since you have the value of b, the first thing you want to do is substitute that value in for b.
5a - 10(3) = 45
10*3 = 30
5a - 30 = 45
Now, to get the variable by itself (a) you have to + 30 because you have to reverse the subtraction.
5a = 75
Now, you divide by 5 to finish getting a by itself.
a = 15
Hope this helps!