(2x² - 8x - 10) ÷ 2 = 0
x² - 4x - 5 = 0
x² + x - 5x - 5 = 0
x(x+1) - 5(x+1) = 0
(x+1)(x-5) = 0
x+1 = 0 or x-5 = 0
x = -1 or x= 5
S = {-1;5}
The part of the quadratic formula that dictates whether the function is factorable or not is B. b^2 - 4ac. This determines the number of real, imaginary, negative and positive roots.
In the equation <span>2x^2 + 7x + 3,
we use the quadratic formula
x = -b +- sqrt (b2 -4ac) /2a = -7 +- </span><span>sqrt (49 -24) /4
the answers are x1 =-0.5 and x2 = -3.</span>
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Answer:
Step-by-step explanation:
<u>Simple Linear Regression
</u>
It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.
Let's compute the best-fit line for the data
First, we find the sums
Then, we compute the averages values
We will also compute the sums of the cross-products and the sum of the squares
We will compute Sxy and Sxx
The slope of the linear regression function is given by
The y-intercept ot the linear function is
Thus the best-fit line is
The correct option is the last one
<h2>Equations of Circles</h2>
Generally, you'd see the equation of a circle organized in the following format:
- is the center
- is the radius
To determine the equation given the center and the radius:
- Plug both pieces of information into the general equation
- Simplify
<h2>Solving the Question</h2>
We're given:
- Radius: 99
- Center: (-1,-8)
Plug the radius and center into the equation as r and (h,k):
<h2>Answer</h2>