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Trava [24]
2 years ago
14

Find the value of x​

Mathematics
1 answer:
a_sh-v [17]2 years ago
3 0

4x - 7 = 3x + 9

x = 16

they're equal because they are opposites by the vertex.

<em />

<em>hope it helps :)</em>

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A travel agent currently has 80 people signed up for a tour. The price of a ticket is $5000 per person. The agency has chartered
Nikolay [14]
So hmm let's take a peek at the cost first

so, they chartered the plane for 150 folks with a fixed cost of 250,000
now, incidental fees are 300 per person, if we use the quantity "x", for how many folks, then if "x" persons are booked, then incidental fees are 300x

so, more than likely an insurance agency is charging them 300x for coverage

anyway, thus the cost C(x) = 250,000 + 300x

now, the Revenue R(x), is simple is jut price * quantity

well, the price, thus far we know is 5000 for 80 folks, but it can be lowered by 30 to get one more person, thus increasing profits

so... let's see what the price say y(x) is  \bf \begin{array}{ccllll}&#10;quantity(x)&price(y)\\&#10;-----&-----\\&#10;80&5000\\&#10;81&4970\\&#10;82&4940\\&#10;83&4910&#10;\end{array}\\\\&#10;-----------------------------\\\\

\bf \begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;&({{ 80}}\quad ,&{{ 5000}})\quad &#10;%   (c,d)&#10;&({{ 83}}\quad ,&{{ 4910}})&#10;\end{array}&#10;\\\quad \\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-90}{3}\implies -30&#10;\\ \quad \\\\&#10;% point-slope intercept&#10;y-{{ 5000}}={{ -30}}(x-{{ 80}})\implies y=-30x+2400+5000\\&#10;\left.\qquad   \right. \uparrow\\&#10;\textit{point-slope form}&#10;\\\\\\&#10;y=-30x+7400

so.. now we know y(x) = -30x+7400

now, Revenue is just price * quantity
the price y(x) is -30x+7400, the quantity is "x"

that simply means R(x) = -30x²+7400x


now, for the profit P(x)

the profit is simple, that is just incoming revenue minus costs, whatever is left, is profit
so P(x) = R(x) - C(x)

P(x) = (7400x - 30x²) - (250,000+300x)

P(x) = -30x² + 7100x - 250,000

now, where does it get maximized? namely, where's the maximum for P(x)?

well \bf \cfrac{dp}{dx}=-60x+7100

and as you can see, if you zero out the derivative, there's only 1 critical point, run a first-derivative test on it, to see if its a maximum
7 0
3 years ago
Susan used 9 5/8 kilowatts of electricity to power her house for 5 1/2 hours. ON average, how many kilowatts did Susan use per h
REY [17]
The answer would be 1.75
6 0
3 years ago
3500ca = 1fp
MAXImum [283]

Answer: 1fp = 525 minutes

           35fp = 18,375 minutes

<u>Step-by-step explanation:</u>

Solve this using conversions

\dfrac{30\ minutes}{200\ ca } \times \dfrac{3500\ ca}{1\ fp}= 525\ minutes\ per\ fp

For 35 fp, multiply 35 fp by 525 minutes per 1 fp = 18,375

5 0
3 years ago
I need help with my science about cells​
Alina [70]

Answer:

a. pancreas

other body part is related to urinary system except pancreas as it is related to digestive

b. heart

it is a part of circulatory system whereas other are digestive

c. vagina

as it is female reproductive system

Step-by-step explanation:

3 0
3 years ago
Helpp plz its due tomorrow
Leviafan [203]
For #1: The most people got a score of 8
5 0
3 years ago
Read 2 more answers
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