Answer:
The answer in the attached figure
Step-by-step explanation:
we have the parent function

case 1) <u>Reflected across the x-axis</u>
we know that
The rule of the transformation is
(x,y)------> (x,-y)
so


case 2) <u>Reflected across the y-axis</u>
we know that
The rule of the transformation is
(x,y)------> (-x,y)
so


case 3) Translated left by 1 unit
we know that
The rule of the transformation is
(x,y)------> (x-1,y)
so

case 4) Translated right by 1 unit
we know that
The rule of the transformation is
(x,y)------> (x+1,y)
so

case 5) Translated down by 1 unit
we know that
The rule of the transformation is
(x,y)------> (x,y-1)
so


case 6) Translated up by 1 unit
we know that
The rule of the transformation is
(x,y)------> (x,y+1)
so


Let's simplify step-by-step.
2(3x+5)−4(x−1)
Distribute:
=(2)(3x)+(2)(5)+(−4)(x)+(−4)(−1)
=6x+10+−4x+4
Combine Like Terms:
=6x+10+−4x+4
=(6x+−4x)+(10+4)
=2x+14
Answer:
=2x+14
Answer:
<h2>0.035</h2>
Step-by-step explanation:
This problem is on probabilty since there are a number of entries to be selected from which are 85 entries, the chances of winning one of the prices if selected is
the number of entries you have/ total number of entries
given that the total entry is 85
and that you have one entry
Since there are three gift baskets you have three chances to win one.
hence there will be a total of three draws, and after each draw, there won't be a replacement of the previous winner (as the winners are three distinct persons).
Hence the probability of winning a draw for the gift basket is
=1st draw+2nd draw+3rd draw
= 1/85+1/84+1/83
= 0.0117+0.0119+0.012
= 0.035
Hey there!
To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.
Let the line that we are trying to determine its equation be
and the line that is parallel to
be
.
passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:
⇒Subtitute the values :

.
Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:
Slope-Intercept Form:
We know that the coordinates of the point (0 , -3) verify the equation since it is on the line
. Now, replace y with -3 and x with 0:

Therefore, the equation of the line
is 
▪️Learn more about finding the equation of a line that is parallel to another one here:
↣brainly.com/question/27497166
We will owes 0 dollars cause 164 multiply by 12 = 1968