Answer:
Step-by-step explanation:
we have
we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to 
In this problem we have the axis of symmetry 
so
the x-coordinate of the vertex is equal to 
therefore
For 
-----> one unit to the right of the vertex
Find the value of 
For 
-----> one unit to the left of the vertex
Find the value of 
Remember that
------> the x-coordinates are at the same distance from the axis of symmetry
so
------> solve for b
Answer:
7/3
Explanation:
The slope of the line is equal to the rise/run, or in other words, the number of units the line travels upwards over the number of units the line travels to the right.
We can identify the slope using any two points on the line. Here, we can use the two points that are marked on the picture. The second point is 7 units above the first and 3 units to the right of the first, so the slope of the line is equal to 7/3.
Another way to calculate the slope of the line is the use this formula:
(y2-y1)/(x2-x1)
The first point is at the coordinate (1,-4) and second point is at the coordinate (4,3). When we plug these two coordinates into the equation, we get this:
(y2-y1)/(x2-x1)
->(3-(-4))/(4-1)
When we simply the fraction, we would get 7/3 and that would give us the slope.
I hope this helps!
You could actually find the compositions and thus have something to compare. You haven't shared the list of possible answer choices.
(f+g)(x) = 5x - 3 + x + 4 = 6x + 1
(f-g)(x) = 5x - 3 - x - 4 = 4x - 7
(f*g)(x) = (5x-3)((x+4) = 5x^2 + 20x - 3x - 12 = 5x^2 + 17x - 12
There are also the quotient (f/g)(x) and the compositions f(g(x)) and g(f(x)).
WRite them out.
Then you could arbitrarily select x values, such as 2, 10, etc., subst. them into each composition and determine which output is greatest.
Answer:
ans of y is 3 because 12-3=9
The difference between the two polynomials is 11x²3y³ - 4xy².
<h3>What is the Difference between the Polynomials?</h3>
The difference between two polynomials is the result you get by subtracting one from the other.
Thus:
= (4x²2y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)
= 4x²2y³ + 2xy² – 2y + 7x²y³ - 6xy² + 2y
= 11x²3y³ - 4xy²
Learn more about polynomials on:
brainly.com/question/2833285
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