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S_A_V [24]
2 years ago
14

Please help screen shot bellow.

Mathematics
2 answers:
Goshia [24]2 years ago
8 0

-1/4

This will remain its absolute value

tresset_1 [31]2 years ago
6 0

Answer:

absolute value is the oppistie of the number so if it is positive is will turn negative so i think the answer is C

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Shakespear's Pizza sells 1 comma 100 large Vegi Pizzas per week for ​$16 a pizza. When the owner offers a​ $5 discount, the week
zimovet [89]

Answer:

(a) A(x) = 100x + 1100

(b) x = 2.5 USD

(c) A(x) = 100x + 1100 and x = -1.5 USD

Step-by-step explanation:

(a) Since there's a linear relation between weekly sales A(x) and the discount, we can model it as the following expression

A(x) = mx + b

where x is the discount, m is the slope and b is the intersect of the linear equation. We can solve for slope first

m = \frac{s_2 - s_1}{x_2 - x_1} = \frac{1600 - 1100}{5 - 0} = \frac{500}{5} = 100

To solve for b, we can just plug in m = 100, x = 0 and A(0) = 1100

1100 = 100*0 + b

b = 1100

Therefore A(x) = 100x + 1100

With discount x, the actual price would then be p - x. Where p is the original undiscounted pricing ($16 in this case)

And with sale A(x), the revenue would then be

R = (p - x)A(x) = (p - x)*(100x + 1100)

R = 100xp + 1100p - 100x^2 - 1100x

R = -100x^2 + (100p - 1100)x + 1100p

To find the maximum value of this, we can take the 1st derivative and set it to 0

R' = -200x + 100p - 1100 = 0

200x = 100p - 1100

x = \frac{100p - 1100}{200} = 0.5p - 5.5

when p = $16 then x = 0.5*16 - 5.5 = 8 - 5.5 = 2.5 USD

(c) when the price p is $8 then A(x) would sill be 100x + 1100 because it doesn't depend on p, but the discount. But to maximize the revenue, x will need to be

0.5p - 5.5 = 0.5*8 - 5.5 = 4 - 5.5 = -1.5 USD

So the Pizza owner would need to raise the price by 1.5 USD because originally the pizza is already inexpensive.

4 0
2 years ago
A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find the proba
mario62 [17]

The probability of selecting a blue marble is <u>3/14</u>. Hence, <u>option D</u> is the right choice.

The probability of any event is the chance of the occurrence of that event. It is given as the ratio of the number of favorable outcomes to the event to the total number of outcomes possible in the experiment.

If we consider an event A, the number of favorable outcomes to event A be n, and the total number of outcomes be S, then the probability of event A is given as:

P(A) = n/S.

Let us take the event of selecting a blue marble from the experiment of selecting a marble randomly from the bag be A.

The number of outcomes favorable to event A (n) = 3 {3 blue marbles}.

The total number of outcomes (S) = 14 {Total number of marbles in the bag = 4 red + 3 blue + 7 green = 14 marbles}.

Therefore, the probability of selecting a blue marble is,

P(A) = n/S = 3/14.

Hence, <u>option D</u> is the right choice.

Learn more about the probability of an event at

brainly.com/question/7965468

#SPJ10

4 0
2 years ago
If 12 cars are needed to get 36 students to the end of the road with their packs, how many cars will be needed to get 9 students
Solnce55 [7]

Answer:

3 cars

Step-by-step explanation:

3*3 = 9

7 0
3 years ago
You Just received a 6 percent raise in allowance or an increase of 312.00 per year how much per year were you earning before the
Alona [7]

before the raise you were earning 100% of "x", we also know that 6% of "x" is 312, since that is what you've got in the raise, therefore

\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 312&6 \end{array}\implies \cfrac{x}{312}=\cfrac{100}{6}\implies \cfrac{x}{312}=\cfrac{50}{3} \\\\\\ 3x=15600\implies x = \cfrac{15600}{3}\implies \boxed{x = 5200}

6 0
2 years ago
Examples of equivalent mixed numbers
Sloan [31]
2/4 and 1/2

5/10 and 1/2

1/3 and 2/6

40/90 and 4/9
3 0
3 years ago
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