Answer:
A) 
B) 
C) 
Step-by-step explanation:
So we have the equation:
Let's write this in function notation. Thus:
A)
To flip a function over the x-axis, multiply the function by -1. Thus:
Simplify:
B) To flip a function over the y-axis, change the variable x to -x. Thus:
Simplify:
C) A reflection over the line y=x is synonymous with finding the inverse of the function.
To find the inverse, switch x and f(x) and solve for f(x):
Switch:
Subtract 4 from both sides:
Divide both sides by 5:
And we're done :)
3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191 those are some prime numbers :)
Answer it’s 14
Explanation
Look at the middle letters from the three of them ( BNO) always pick the middle letter (N) like look at this
Answer:
<em>The equation of the circle (x +1) )² +(y-(2))² = (2(√5))²</em>
<em> or </em>
<em>The equation of the circle x² + 2 x + y² - 4 y = 15</em>
<u>Step-by-step explanation:</u>
Given points end Points are p(-3,-2) and q( 1,6)
<em>The distance of two points formula</em>
P Q = 
P Q = 
P Q = 
<em>The diameter 'd' = 2 r</em>
2 r = √80
= 
= 
<em> r = 2√5</em>
<em>Mid-point of two end points </em>
<em> </em>
<em></em>
<em> = (-1 ,2)</em>
<em>Mid-point of two end points = center of the circle</em>
<em> (h,k) = (-1 , 2)</em>
The equation of the circle
(x -h )² +(y-k)² = r²
<em> (x -(-1) )² +(y-(2))² = (2(√5))²</em>
<em> x² + 2 x + 1 + y² - 4 y + 4 = 20</em>
<em> x² + 2 x + y² - 4 y = 20 -5</em>
<em> x² + 2 x + y² - 4 y = 15</em>
<u><em>Final answer</em></u><em>:-</em>
<em>The equation of the circle (x +1) )² +(y-(2))² = (2(√5))²</em>
<em> or </em>
<em>The equation of the circle x² + 2 x + y² - 4 y = 15</em>
<em> </em>
Answer:
a. $5.43
b. $141.25
c. $8.75
Step-by-step explanation:
First you find the total amount you it cost for all the items
$135.82 + 4% = $141.25
You give three $50 dollar bills
50 * 3 = 150
$150 is the amount you give
--------------------------------------
141.25 - 135.82 = 5.43
$5.43 is the amount of the sale price
---------------------------------------
To find the amount is cost for all the items you add the sales tax + the original price
$135.82 + 4% = $141.25
$141.25 is the amount including the tax
---------------------------------------
Subtract
150 - 141.25 = 8.75
So you will get $8.75 back
