Answer:
The maximum value is the 10's.
Step-by-step explanation:
Look at the chart and see which one has the most.
Answer:
y = - 3(x + 2)² + 12
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 2, 12), thus
y = a(x + 2)² + 12
To find a substitute (- 4, 0) into the equation
0 = a(- 2)² + 12, that is
4a + 12 = 0 ( subtract 12 from both sides )
4a = - 12 ( divide both sides by 4 )
a = - 3
y = - 3(x + 2)² + 12 ← equation in vertex form
Rule: second differences are 2.
Selection C is appropriate.
_____
First differences are the sequence of differences of the given numbers:
.. 3 -8 = -5
.. 0 -3 = -3
.. -1 -0 = -1
.. 0 -(-1) = 1
Second differences are the sequence of differences of these:
.. -3 -(-5) = 2
.. -1 -(-3) = 2
.. 1 -(-1) = 2
All of these are 2, so the sequence can be described by a *second* order polynomial (because *second* differences are a non-zero constant).
We conclude that the solution to the given linear equation is x = 15/13.
<h3>
How to solve that equation for x?</h3>
Here we have the linear equation:
13x - 4 = 11
And we want to solve this for x. To do so, we need to isolate x in one side of the equation.
We can start by adding 4 in both sides, so we get:
13x - 4 + 4 = 11 + 4
13x = 15
Now we can divide both sides by 13, so we get:
13x/3 = 15/13
x = 15/13
We conclude that the solution to the given linear equation is x = 15/13.
If you want to learn more about linear equations:
brainly.com/question/1884491
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