What is the value of the expression 9x^2-12x+4 when x=3

Mathematics

1 answer:

Inessa05 [86]3 years ago

4 0

Answer:

Step-by-step explanation:

When x=3,

= 9x^2-12x+4

= 9(3)^2-12(3)+4

=81-36+4

=49

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Step-by-step explanation:

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you spend at most $10 at the mall you want to buy a book that costs $6.75 and a cold drink how much can you spend on the drink?

Aneli [31]

You can make an equation: 6.75 + x = 10
6.75 is the amount you spend on the book, x is the amount you can spend on the drink, and 10 is the total cost.

Solve for x to find how much you can spend on the drink.
6.75 + x = 10
Subtract 6.75 from both sides to isolate x.

x = 3.25

You can spend $3.25 on the drink.

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3 years ago

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4 years ago

The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$