Answer: Option D.
Step-by-step explanation:
this is a quadratic equation of the form:
y = ax^2 + bx + c
First, things you must see.
The graph opens up, so we must have thata a is greater than zero, so we can discard the first option.
Second, we can see that the vertex is located in x ≈ 70
The vertex of a quadratic equation is: x = -b/2a
so we have:
70 = -b/2a
let's try our options and see if we can discard other:
B:
-b/2a = 69.9/2 = 34.95
we can discard this option.
C:
-b/2a = 78/2 = 39 we can discard this option.
D:
-b/2a = 69.9/2*0.5 = 69.9
This is the only one that fits, so this is the correct option.
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Step-by-step explanation:
For a function of
, the average rate of change can be found as follows:

So, we only need two points to compute this value. So, in this problem we have a table with several points, but the problem establishes that the ARC we need to find is the one between two points, that is, when x=3 and x=4. In this problem,
is the function, so:

Answer:
$0.88
Step-by-step explanation:
cost per 1% = 22 ÷ 100 = 0.22
⇒ cost of 4% = 4 x 0.22 = 0.88
Or
4% = 4/100 = 0.04
⇒ 4% of 22 = 0.04 x 22 = 0.88
Step-by-step explanation:
An equilateral triangle has 3 equal sides. Since one side is 14 cm, then all sides are 14 cm. You multiply 4 by 3 and you get your answer.
14*3=42. The perimeter is 42cm.