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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 the unit rate for 108 diapers for 25.18 dollars
Alenkasestr [34]
<span><span>1.       </span>Question: Find the Unit rate for 108 diapers for 25.18 dollars.
Let’s analyze the given question. In a total of 108 diapers for 25.18 dollars.
Thus we need to find the amount of every 1 diaper then.
=> 108 diapers – is the total number of items
=> 25.18 dollars -  the total amount paid
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4 0
3 years ago
Solve lim x-&gt;0 (1+sinx)/cosx
morpeh [17]

Answer:

1

Step-by-step explanation:

(1+sinx)/cosx

(1+sin0)/cos0

(1+0)/1

1/1

1

:. Lim x->0 =1

4 0
3 years ago
Solve the system:<br> 2.5(x−3y)−3=−3x+0.5 3(x+6y)+4=9y+19
Aleksandr-060686 [28]

Answer:

The value of x and y that satisfy the equations is x = 2 and y = 1

Step-by-step explanation:

Given

2.5(x−3y)−3=−3x+0.5

3(x+6y)+4=9y+19

Required.

Find x and y

We start by opening all brackets

2.5(x−3y)−3=−3x+0.5 becomes

2.5x - 7.5y - 3 = -3x + 0.5

Collect like terms

2.5x + 3x - 7.5y = 3 + 0.5

5.5x - 7.5y = 3.5 ---- Equation 1

In similar vein, 3(x+6y)+4=9y+19 becomes

3x + 18y + 4 = 9y + 19

Collect like terms

3x + 18y - 9y = 19 - 4

3x + 9y = 15

Multiply through by ⅓

⅓ * 3x + ⅓ * 9y = ⅓ * 15

x + 3y = 5

Make x the subject of formula

x = 5 - 3y

Substitute 5 - 3y for x in equation 1

5.5(5 - 3y) - 7.5y = 3.5

27.5 - 16.5y - 7.5y = 3.5

27.5 - 24y = 3.5

Collect like terms

-24y = 3.5 - 27.5

-24y = -24

Divide through by - 24

y = 1

Recall that x = 5 - 3y.

Substitute 1 for y in this equation

x = 5 - 3(1)

x = 5 - 3

x = 2

Hence, x = 2 and y = 1

3 0
2 years ago
A spinner with 9 congruent sections is labeled 1-9. The probability of spinning a 1 or a 9 is 2/9. What is the probability of no
Alecsey [184]

Answer:

7/9 which is the opposite of 2/9

Step-by-step explanation:

3 0
3 years ago
When solving a system of two linear equations
soldier1979 [14.2K]

Answer:

When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.

Step-by-step explanation:

Got this from google hope it helps

7 0
2 years ago
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