We have a piecewise function consisting of a parabolic graph and a linear graph.
When the parabolic graph of 
is elevated by 6 units, the new equation becomes
.
Given that the parabola aligns with this requirement, its equation can be expressed as
The parabola extends to x=3, where there is an open circle at this point. Thus, we need to use a less than sign.
Next, the line's equation is determined as 
Since there is a solid dot, we must employ the greater than or equal to sign.
Consequently, the piecewise function's equation is derived as
C is the right choice.
This can be accomplished through simple subtraction. Starting with 12-5 we obtain 7 for the animal stickers. Next, for the flowers, 14-5 yields 9. Finally, 9 + 7 results in a total of 16. Therefore, the final answer is 16!
Begin by disregarding the inequality symbol and substituting it with an '=' sign. After that, determine the x- and y-intercepts.
15x + 10y = 1,100
x-intercept:
15x + 0 = 1,100
x = 1,100/15 = 73.33
y-intercept:
0 + 10y = 1,100
y = 1,100/10 = 110
Now, plot the points (73.33,0) and (0,110). Given that the inequality symbol is ≥, representing equality, connect these points using a solid line.
Next, let's identify a point on the graph, for instance, the origin (0,0). Use this point in the equation.
15x + 10y ≥ 1,100
15(0) + 10(0)? 1,100
0? 1,100
0 < 1,100
This makes the ≥ statement false. As a result, the alternate area defined by the line is the solution. Consequently, shade that region. The resulting graph is displayed in the attached image.
Response:
P(largest or smallest) = 0.30 + 0.20 - 0.15
Detailed explanation
You add the probabilities of choosing the largest and smallest without double counting the chance of selecting both.
