<h2>
Answer:</h2>
<em><u>Number of possible sets = 4</u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
Number of Red marbles in the bag = 3
Number of Green marbles in the bag = 2
Number of Lavender marbles in the bag = 1
Number of Yellow marbles in the bag = 4
Number of Orange marbles in the bag = 5
So,
If we need to form a set having all the red marbles then,
We have 3 Red marbles and only the set of 4 is needed to be made.
For that,
We have <u>4 different options,</u>
1 Green + 3 Red
1 Lavender + 3 Red
1 Yellow + 3 Red
and,
1 Orange + 3 Red.
<em><u>Therefore, there are only 4 such cases which include all the Red marbles in them.</u></em>
<em><u></u></em>
Answer:closed
Step-by-step explanation:
Consider any point P(x, y) in the coordinate axis.
The reflection of this point across the y-axis is the point P'(-x, y).
(x, y) and (-x, y) are the 'mirror' images of each other, with the y'axis as the 'mirror'.
For example the coordinates of the image of P(4, 13) after the reflection across the y-axis is P'(-4, 13)
or, if P(-5, -9), then P'(5, -9)
Answer: if coordinates of V are (h, k), coordinates of V' are (-h, k)
F<span> + </span>g)(x<span>) = </span>f(x<span>) + </span>g(x); (f<span> - </span>g)(x<span>) = </span>f(x<span>) - </span>g(x): (f<span> · </span>g)(x<span>) = </span>f(x<span>) · </span>g(x<span>) ..., let </span>f(x) = 5x+2<span> and </span>g(x<span>) = </span><span>x2</span>-1. <span>4. </span>f(4)=5(4)+2<span>=22 and </span>g(4)=42-1=15 ... (fog)(x<span>) = </span>f<span> [ </span>g(x<span>) ] = </span>f<span> [ 4x2 ] = sqrt( </span><span>4.2</span><span> ) = </span>2<span> | </span>x<span> |; (</span>gof)(x<span>) = </span>g<span> [</span>f(x<span>) ] = </span>g [ s
