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Alja [10]
3 years ago
12

What's the vertex and is it a max or min

Mathematics
2 answers:
MrRa [10]3 years ago
5 0
A vertex can be the max or min. The vertex is the highest point or lowest point of a function.
ivann1987 [24]3 years ago
4 0

Answer:

the vertex is (-2,0), and the max or min is (-2,0)

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I cannot solve this. I don't know how.
Pani-rosa [81]
<h3>Answer:</h3>
  • f(q) = q² -2q +3
  • f(x+h) = (x+h)² -2(x+h) +3
  • (f(x+h) -f(x))/h = 2x -2 +h
<h3>Step-by-step explanation:</h3>

The notation f(x) means you have a function that has been given the name f, and it makes use of the variable x. The variable in the parentheses is called the "argument" of the function f.

(a) To find f(q), you put q everywhere x is in the function equation. This is called evaluating the function for an argument of "q". In the following, note that we have simply changed x to q. (It's really that simple.)

... f(q) = q² -2q +3

(b) As in the previous case, we replace x with (x+h) everywhere.

... f(x+h) = (x+h)² -2(x+h) +3

You can multiply it out, but there appears to be no need to do so for this part of the question.

(c) The intent here is that f(x+h) and f(x) will be replaced by their values and the whole thing simplified. This requires you  expand the expression you see in part (b), subtract f(x), collect terms, and divide the whole thing by h. You have to make use of what you know about multiplying binomials.

We can do it in parts:

... f(x+h) = (x+h)² -2(x+h) +3

... = (x² +2xh +h²) + (-2x -2h) +3

Separating the h terms, this looks like ...

... = (x² -2x +3) + (2xh -2h +h²)

Now, we can finish the numerator part of the expression by subtracting f(x):

... f(x+h) -f(x) = (x² -2x +3) +(2xh -2h +h²) -(x² -2x +3)

You can see that the stuff in the first parentheses matches that in the last parentheses, so when we subtract the latter from the former, we get zero. We are left with only the terms containing h.

... f(x+h) -f(x) = 2xh -2h +h²

To finish up this problem, we need to divide this numerator value by the denominator h.

... (f(x+h) -f(x))/h = (2xh -2h +h²)/h

... = (2xh)/h -(2h)/h +h²/h

... = 2x -2 +h . . . . . this is the value of the expression

... (f(x+h) -f(x))/h = 2x -2 +h

4 0
3 years ago
Please help me, I will be so thankful ​
worty [1.4K]

Answer:

Step-by-step explanation:

g(-4) = 4   ,  x < -2

g(-2) = (x - 1)²     ; -2≤x< 1

        = (-2-1)²

         = (-3)²

g(-2) = 9

g(0) = (x -1)²      ;  -2 ≤ x < 1

      = (0 -1)²

       = (-1)²

       = 1

8 0
2 years ago
Is the point P (2,8) on the inside or outside of the circle described with equation x^2+y^2=100?
kykrilka [37]

Points (x,y) on the circle satisfy x^2+y^2=100.

Points inside the circle satisfy x^2+y^2.

Points outside the circle satisfy x^2+y^2>100.

We have

2^2+8^2=4+64=68

so the point (2, 8) lies inside the circle.

6 0
3 years ago
Question Help!<br><br> Factor the trinomial completely.<br><br> x squared + 2x -8
blsea [12.9K]
X^2 + 2x -8
The factors of 8 are 2 and 4, and to get 2x we need 2 and 4 to either add up to or subtract to result in 2.
4 - 2 = 2. We also know this is right because 4 x -2 = -8. So the answer is:
(x + 4)(x - 2)
5 0
3 years ago
Ariana borrows $300 on a 6-year loan. she is charged 5% simple interest per year. How much interest is she charged for 6 years?
Aloiza [94]
So first we need to find how much is 5% of 300 , which we can discover by dividing 30p by 100 and multiplying by 5.
300÷100 ×5 = 15
So every year she pays $15 of interests
To find out how much she'll pay in 6 years pf interest , we just need to multiply 15 by 6
which is 90.
Then just add 90 to the original loan (300) to discover the total she will pay:

After 6 years, Ariane is charged $90 in interest. She pays a total amount of $390.
4 0
3 years ago
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