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jeka57 [31]
3 years ago
14

One quadratic function has the formula h(x) = -x 2 + 4x - 2. Another quadratic function, g(x), has the graph shown below

Mathematics
2 answers:
jeyben [28]3 years ago
7 0
We are comparing maxima.  From the graph we know that the max of one graph is +2 at  x = -2.  What about the other graph?  Need to find the vertex to find the max.

Complete the square of <span>h(x) = -x^2 + 4x - 2:

</span>h(x) = -x^2 + 4x - 2 = -(x^2 - 4x) -2
= -(x^2 - 4x + 4 - 4) - 2
=-(x^2 - 4x + 4)       -2+4
= -(x-2)^2 + 2            The equation describing this parabola is y=-(x-2)^2 + 2, from which we know that the maximum value is 2, reached when x = 2.

The 2 graphs have the same max, one at x = -2 and one at x = + 2.
ale4655 [162]3 years ago
7 0

Answer:

Functions g and h have the same maximum of 2.

Step-by-step explanation:

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John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per sessio
avanturin [10]

Answer: c(x)=-2 x2 + 16x + 168

Step-by-step explanation: I hope this helps if im wrong im srry!

8 0
3 years ago
Read 2 more answers
If M is the set of all square of integers that are less than 100 and N is the set of all positive even numbers that are under 30
irina [24]

Answer:

a) M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

   N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

b) M ∩ N = {4 , 16 }

M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 , 26 , 28 ,

               36 , 49 , 64 , 81}

a) X = {e , i , g , h , t , y}

   W = {e , n , s , t , v , y}

b) X ∪ W = {e , i , g , h , n , s , t , v , y}

X ∩ W = {e , t , y}

Step-by-step explanation:

* Lets explain how to solve the problem

- We can find a square number by multiply the number by itself

a)

- M is the set of all square integers that are less than 100

∵ The integers from -9 to 9 has square less than 100

∴ M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

- N is the set of all positive even numbers that are under 30

∵ Even number any number divisible by 2

∵ They are positive numbers

∴ They start with 2 because zero is not a positive or negative

∴ N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

b)

- M ∩ N means the common numbers between set M and set N

∵ The common elements of M ∩ N are square and even less

   than 30

∴ M ∩ N = {4 , 16 }

- M ∪ N means all the elements in M and N without reputation

∴ M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 ,

  26 , 28 , 36 , 49 , 64 , 81}

a)

- X is the set of all letters of the word eighty

∵ The letters of word eighty are e i g h t y

∴ X = {e , i , g , h , t , y}

- W be the set of all letters of the word seventy

∵ The letters of word seventy are s e v e n t y

∵ We don't repeat any element in the set

∴ W = {e , n , s , t , v , y}

b)

- X ∪ W means all the elements in X and W without reputation

∴ X ∪ W = {e , i , g , h , n , s , t , v , y}

- X ∩ W means the common elements between set X and set W

∵ The common letters between X and W are e , t , y

∴ X ∩ W = {e , t , y}

3 0
3 years ago
What is the distance between -12 and 15?
motikmotik

Answer:

27

Step-by-step explanation:

to get the distance, add -12 and 15 which gets you 27

8 0
2 years ago
Read 2 more answers
Area of paralellogram with base 15cm and height12cm
azamat

Answer:

180 cm2

Area of a polyhedron:

15(=base)x12(=height)

=180cm2

btw parallelogram is a 2D pic how you can come out a ''base'' and ''height''? It should be called a polyhedron. Your question is weird.

If so, your ''area of parallelogram'' is 15cm2 since your question is hecking  weird.

Btw it's 15cm2 not 15

Please check ur question b4 u ask

7 0
3 years ago
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Write an equivalent fraction with the given denominator. 3/16 = ___ /48
natita [175]
You multiply 3/16 by 3 and you should get 9/48
4 0
3 years ago
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