1.4375
<u>Step-by-step explanation:</u>
Step 1:
Let the given equation be 
To find X simplification of terms using BODMAS ( Brackets Orders Division Multiplication Addition Subtraction) is done as follows.
Step 2:
Let us expand the equation as 
Step 3:
Let us expand it further as 
Step 4:
To find X segregate X in one side and all other remaining terms in other side as follows

After the simplification the numerical value is

Step 5:
Keep X along one side and bring 48 to the denominator of another side to find X as follows

And the value of X is 1.4375
Answer:
Step-by-step explanation:
Given

Required
Determine the type of roots
Represent Discriminant with D; such that

D is calculated as thus

And it has the following sequence of results
When
then the roots of the quadratic equation are real but not equal
When
then the roots of the quadratic equation are real and equal
When
then the roots of the quadratic equation are complex or imaginary
Given that
; This means that
and base on the above analysis, we can conclude that the roots of the quadratic equation are complex or imaginary
S1=$70/20gal=$3.50 per gallon
s2=$33.50/(50/4)gal=$2.68 per gallon
s3=$48.75/(15+8)gal=$2.12 per gallon
So supplier #3 has the best deal.
Answer:
y = 3x - 16
Step-by-step explanation:
I just graphed the slope and went down 3 over to the left 1 and I found 16 was the intercept
The <em>quadratic</em> function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).
<h3>How to analyze quadratic equations</h3>
In this question we have a graph of a <em>quadratic</em> equation translated to another place of a <em>Cartesian</em> plane, whose form coincides with the <em>vertex</em> form of the equation of the parabola, whose form is:
g(x) = C · (x - h)² - k (1)
Where:
- (h, k) - Vertex coordinates
- C - Vertex constant
By direct comparison we notice that (h, k) = (5, 1) and C = 1. Now we proceed to check if the points (x, y) = (2, 10) and (x, y) = (8, 10) belong to the parabola.
x = 2
g(2) = (2 - 5)² + 1
g(2) = 10
x = 8
g(8) = (8 - 5)² + 1
g(8) = 10
The <em>quadratic</em> function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).
To learn more on parabolae: brainly.com/question/21685473
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