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The graph of the given quadratic equation will be along the y-axis and cuts the intercepts at x (-1,3) points.
<h3>What is a graph? </h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given quadratic equation is:-
y = x² - 2x - 3
So the value of x will be (-1,3) so the quadratic curve will cut the intercepts at x(-1,3). The graph of the quadratic equation is attached with an answer.
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Answer:
(0.5, 9 )
Step-by-step explanation:
Using the midpoint formula
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
with (x₁, y₁ ( = (3, 5) and (x₂, y₂ ) = ( - 2, 13 )
midpoint = [0.5(3 - 2), 0.5(5 + 13) ] = [0.5(1), 0.5(18) ] = (0.5, 9 )
Answer:
x = -2
Step-by-step explanation:
5x + 2(x - 4) = 5x + x - 10
First, we need to to multiply out the parathesis in the equation:
5x + 2(x - 4) = 5x + x - 10
5x + 2x - 8 = 5x + x - 10
Next, we can combine "like terms" to simplify the equation further:
5x + 2x - 8 = 5x + x - 10
7x - 8 = 6x - 10
Now we can isolate the variable "x" to one side:
7x - 8 = 6x - 10
x - 8 = -10
x = -2
To check our work, we can replace x with -2 in our original equation:
5x + 2(x - 4) = 5x + x - 10
5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10
-10 + 2 (-6) = -10 -2 - 10
-22 = -22
I hope this helps!
-TheBusinessMan
