Y=2x+10
That is the eqasion, 2(it is the cost per card) and multpy be how many cards you want, then add 10 as base fee
Answer:
a. 4, 6
b. -72
c. (5, 3)
d. Graph A
Step-by-step explanation:
<h3>a.</h3>
To answer these questions, it is useful to start by factoring the equation.
y = -3x² +30x -72 . . . . given
y = -3(x² -10x +24) . . . . factor out leading coefficient
y = -3(x -4)(x -6)
The x-intercepts are the values of x that make the factors zero:
x = 4, 6
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<h3>b.</h3>
The y-intercept is the constant in the equation: -72.
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<h3>c.</h3>
We know the x-coordinate of the vertex is the midpoint between the x-intercepts: (4+6)/2 = 5. The y-coordinate can be found by evaluating y at that x-value.
y = -3(5 -4)(5 -6) = -3(1)(-1) = 3
The vertex is (5, 3).
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<h3>d.</h3>
The graph that has the correct vertex and x-intercepts is Graph A.
Answer:
expected loss of 4/30 ≈ 0.13 dollars
Step-by-step explanation:
profit = revenue - expenses
expected profit= expected revenue - expected expenses
how i solve this is by multiplying each revenue and expense by its probability and solving from there
revenue of gold = 5
revenue of silver = 2
revenue of black = 0
this exhausts all of our revenue options
total marbles = 2+8+20 = 30
# of gold marbles = 2
probability of gold = 2/30
# of silver marbles = 8
probability of silver = 8/30
# of black marbles = 20
probability of black = 20/30
expected revenue = sum of possible revenues multiplied by their probability
= 5 * 2/30 + 2 * 8/30 + 0 * 20/30 = 10/30 + 16/30 = 26/30
cost = 1 no matter what
expected profit = expected revenue - expected expenses
= 26/30 - 1
= -4/30
= an expected loss of 4/30
4/30 ≈ 0.13
1. -7×3t−7×−9
2. -21t−7×−9
3. -21t−(−63)
Answer:
-21t + 63