Acertain bakery has found that the daily demand for bran muffins is startfraction 9600 over p endfraction 9600 p , where p is the price of a muffin in cents. the daily supply is 44pminus−200200. find the price at which supply and demand are equal.

Step-by-step explanation:

The bakery found out that the demand is

D = 9600 / p

Where P is the price of muffins in cents

Daily supply is give as

S=4p — 200 ( I believe it is a typo error, and that is why I used 4p - 200, due to the experience I have with site.)

We want to find the price at which the demand is equal to the supply

It is a very straight forward questions

Demand. = Supply

Then,

D = S

9600 / p = 4p - 200

Cross multiply

9600 = 4p² - 200p

Rearrange to form quadratic equation

4p² - 200p - 9600 = 0

Divide through by 4

p² - 50p - 2400 = 0

Check attachment for solution using formula method to solve quadratic equation

Using factorization

p² - 80p + 30p - 2400 = 0

p(p-80) + 30(p-80) = 0

(p+30)(p-80) = 0

So, it is either p+30 = 0. Or p-80=0

p = -30 or p = 80

Since the price can't be negative,

We are going to discard the negative price.

Then, the price is 80cents per muffins.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°