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nikdorinn [45]
3 years ago
10

By what transformation can the set representing the inverse of a function be found? 1) reflection in the origin 2) reflection in

the line y = x 3) rotation of 90o about the origin
Mathematics
1 answer:
Zina [86]3 years ago
3 0

Answer:

  2) reflection in the line y = x

Step-by-step explanation:

A function is transformed to its inverse by swapping the independent and dependent variables. Reflection in the line y = x does that.

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SOLVE EACH SYSTEM USING SUBSTITUTION
NNADVOKAT [17]
1. since the equations equal each other 
2x+19=x+7
-x        -x
x+19=7
  -19  -19
x= -12
sub into y= x+7
y= -12+7
y= -5

2. x+2y=-7
<span>x+y+23=0
i don't know what the second equation is equal to, i'll assume 0

2y=x-7
y=1/2x-7/2
sub this into x+y+23=0
x+1/2x-7/2+23=0
3/2x+39/2=0
       -39/2   -39/2
3/2x= -39/2
x=-39/2 / 3/2
x= -13
sub into y=1/2x-7/2
y=1/2(-13)-7/2
y= -10

3. </span>x+5y=2
<span>x=-4y+5
</span>sub x=-4y+5 into x+5y=2
-4y+5+5y=2
y+5=2
  -5  -5
y= -3
sub y =-3 into x =-4y+5
x=-4(-3)+5
x= 17

4. 3x+y=9
<span>y=-5x+9
</span>sub -5x+9 into 3x+y=9
3x+(-5x+9)=9
3x-5x+9=9
-2x+9=9
     -9  -9
-2x=0
x=0
sub into y=-5x+9
y=-5(0)+9
y=9

3 0
2 years ago
A magician has a collection of 52 cards, with 26 red and 26 black cards. Four of these cards are classified as 'special', and tw
Brums [2.3K]

Answer:

option B (28/52)

Step-by-step explanation:

from probability

P(A∪B)=P(A)+P(B)-P(A∩B)

where

P(A∪B) = probability that event A or B happen

P(A∩B) = probability that event A and B happen simultaneously

P(A) =  probability that event A happen

P(B) =  probability that event B happen

the probability that the card is special or red

P( special or red)= P(special) + P(red) - P( special and red)

since

P(special)= 4/52

P(red) = 26/52

P( special and red) = 2/52

therefore

P( special or red)= 4/52 + 26/52 -  2/52 = 28/52

P( special or red)= 28/52

(option B)

6 0
3 years ago
SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP JUST HELP ME PLEASE
Sonbull [250]

Answer:

there is a 1 to 15 relationship  between miles and gallons

Step-by-step explanation:

6 0
3 years ago
An incoming airplane is x miles due north from the control tower at an airport. A second incoming airplane is y miles due east o
MAVERICK [17]

Answer:

B. Square root

Step-by-step explanation:

using distance formula:

x = √z^2 - y^2

y = √z^2 - x^2

=> z = √x^2 + y^2

5 0
3 years ago
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How many different sandwiches can you make using one spread, one type of bread, and one type of meat?
kykrilka [37]
You can make 9 sandwiches
6 0
3 years ago
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