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stira [4]
3 years ago
15

Antonio’s pizza charge $8.00 for a large pizza and $1.50 for each topping zine’s pizzeria charge $10.00 for a large pizza and $1

for each topping write and solve a system of equations to determine the number of topping for which the pizzas would cost the same what is what cost.
Mathematics
1 answer:
hichkok12 [17]3 years ago
5 0
In this problem you would set these two equations equal to each other.
$8+ $1.50x = $10+ $1x 
After this you would simplify the equation to isolate x (being the number of toppings you put on the pizzas) 

$8+ 1.50x =$10+ 1x
-8              -8
----------------------------
$1.50x = $2 + $1x
-1x             -1x
--------------------------- 
$.50x/.50 = $2/.50
_______________
x= 4 toppings and the pizzas would equal $14 total 

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2 years ago
Monthly sales of an SUV model are expected to increase at the rate of S′1t2 = -24t 1>3 SUVs per month, where t is time in mon
uysha [10]

The company will continue to manufacture this model for 19 months.

The question is ill-formatted. The understandable format is given below.

An SUV model's monthly sales are anticipated to rise at a rate of

S'(t)=-24^{1/3} SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.

Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?

Given S'(t)=-24^{1/3} ... ... (1)

Condition (1) at t=0; s(t) =1200

We find S(t)=300 then t=?

a) We find S(t)

from S'(t)=-24^{1/3}

\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\

On Integrating both sides

S(t)=-18t^{4/3}+c ~...~...~(2)

Now, at t=0 then S(t)=1200

So, from (2)

1200=0+c

⇒c=1200

\thereforefrom eq (2)

S(t)=-18t^{4/3}+1200 ~...~...~(3)

b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.

So, take S(t)=300

from eq (2) 300=-18t^{4/3}+1200

t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030

Hence the company will continue 18.8020 months.

Learn more about integration here-

brainly.com/question/18125359

#SPJ10

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Answer:

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Step-by-step explanation:

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3 years ago
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How does a quadratic function differ from that of a linear or exponential
salantis [7]
Hello,

A linear function is a polynomial function of degree 1
(1,2,3,4,5,6,....)
A quadratic function is a polynomial function of degree 2
(1,4,9,16,25,49,64,81,...)
A exponential function is not a polynomial function (we may imagine a infinity degree)
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3 years ago
This summer, Nora spent 8 days visiting her aunt and 2 weeks visiting her grandmother. In all, how many days did she spend visit
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Answer:

22

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1 week = 7 days

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