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jekas [21]
3 years ago
5

Part 1.] Does the graph have even symmetry, odd symmetry, or neither?

Mathematics
1 answer:
QveST [7]3 years ago
4 0
Part 1
The graph has even symmetry.  You can see that because it is symmetric with respect to the y-axis.
Functions that have even symmetry have the following property:
f(x)=f(-x)
Part 2
To answer this we can simply check if the property we mentioned earlier holds for this function.
sin(\frac{\pi}{2})\ne sin(-\frac{\pi}{2})
We can see that sine does not have even symmetry. 
In fact, sine function has the following property: 
sin(x)=-sin(x)
This is called odd symetry.
Part 3
Take a look at the function that you attached in the picture. We know that function has even symmetry. 
Reflection over x-axis and <span>180° rotation around the origin would give us -f(x). We would not end up with the same function, so these two are out. 
</span><span>90° rotation around the origin would mean we swapped x <span>and y</span> so that one is out too. R</span><span>eflection over the line y=x is a property of functions that have an odd symmetry.
We are left with reflection around y-axis and, as mentioned before, this is the property of evenly symmetric functions.</span>
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What is a quadratic function?
ycow [4]
C - F(x)= 5x^2-4x+5

Quadratic function equations have an x raised to the second power and makes a parabola when graphed. B could potentially also be right depending on who you ask because x is being raised to the second power but since the equation says 0x it means there is no x to be raised to the second power so i would say C.
3 0
3 years ago
Bert earns $35,000 gross annual salary. In Bert's jurisdiction there is a progressive tax system with rules as follows: Any amou
Bogdan [553]

Answer:

7.5

Step-by-step explanation:

Given;

  • Bert earns $35,000 gross annual salary
  • Any amounts earned up to $20,000 are taxed at x%
  • Any amounts earned beyond $20,000 are taxed at 20%
  • Bert pays $4,500 per annum in income tax

To find x

Amount earned beyond $20,000

= $35,000 - $20,000

= $15,000

That is the amount to be taxed at 20%

Therefore,

x% × 20000 + 20% × 15000 = 4500

200x + 3000 = 4500

200x = 4500 - 3000

200x = 1500

x = 1500/200

x = 7.5

5 0
3 years ago
Please answer this correctly
irinina [24]

26 = orchestra

11 + 13 = 24 = choir

26 x 2 = 52 = band

52 + 24 + 26 = 102 people in all the following on top.

Hope this helped!

Nate

4 0
3 years ago
Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG ind
Gemiola [76]

Answer:

(a)

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

(b)

i.

1\ girl = \{GBB, BBG, BGB\}

P(1\ girl) = 0.375

ii.

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

P(Atleast\ 2 \ girls) = 0.5

iii.

No\ girl = \{BBB\}

P(No\ girl) = 0.125

Step-by-step explanation:

Given

Children = 3

B = Boys

G = Girls

Solving (a): List all possible elements using set-roster notation.

The possible elements are:

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

And the number of elements are:

n(S) = 8

Solving (bi) Exactly 1 girl

From the list of possible elements, we have:

1\ girl = \{GBB, BBG, BGB\}

And the number of the list is;

n(1\ girl) = 3

The probability is calculated as;

P(1\ girl) = \frac{n(1\ girl)}{n(S)}

P(1\ girl) = \frac{3}{8}

P(1\ girl) = 0.375

Solving (bi) At least 2 are girls

From the list of possible elements, we have:

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

And the number of the list is;

n(Atleast\ 2 \ girls) = 4

The probability is calculated as;

P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}

P(Atleast\ 2 \ girls) = \frac{4}{8}

P(Atleast\ 2 \ girls) = 0.5

Solving (biii) No girl

From the list of possible elements, we have:

No\ girl = \{BBB\}

And the number of the list is;

n(No\ girl) = 1

The probability is calculated as;

P(No\ girl) = \frac{n(No\ girl)}{n(S)}

P(No\ girl) = \frac{1}{8}

P(No\ girl) = 0.125

7 0
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Please help with all and show work
AnnyKZ [126]
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10)> cause 1 lb is 16 oz, multiply 16 by 25 which is 400, which is greater than 384 cups
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