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2 years ago

Whats the answer to that

Mathematics

1 answer:

harina [27]2 years ago

3 0

Given a quadratic equation

$ax^2+bx+c=0$

The solutions are given by

$\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

In your case,

$a=1,\quad b=3,\quad c=1$

So, the solutions are

$\dfrac{-3\pm\sqrt{9-4}}{2}=\dfrac{-3\pm\sqrt{5}}{2}$

So, the two solutions are

$x_1 = \dfrac{-3+\sqrt{5}}{2},\quad x_2=\dfrac{-3-\sqrt{5}}{2}$

And they are approximated by

$x_1\approx -0.38,\quad x_2\approx -2.62$

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In a certain state, there are currently 5,902,060 acres of farmland. This area is decreasing at a rate of 4.3% every year. Selec

Luba_88 [7]

Answer:

y=5,902,060*(.957)^t

Step-by-step explanation:

Since the original amount would be decreasing and it's an exponential one, hence the "every year", we can determine that it's an exponential decay equation.

The exponential delay equation is y=A*(1-r)^t. The y is the remaining amount, A is the original amount, r is the rate in decimal form, and t is for years. "1-r" is for decreasing rates and "1+r" is for increasing rates.

First thing we need to do is turn the rate, 4.3%, from a percentage to a decimal. You can do this by moving the decimal two places to the right, which gives you 0.043.

Now plug the numbers into the equation.

y=5,902,060*(1-0.043)^t

Simplify what's inside the parenthesis and get your final equation.

y=5,902,060*(.957)^t

3 0

3 years ago

Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overd

Sergio039 [100]

Answer:

the amount after 3 weeks is $37.33

Step-by-step explanation:

Given that

His balance is -$48.82 i.e. overdraft

Now in order to get the positive balance, he plans to deposit the money of $28.55 per week

We need to find out the amount after 3 weeks

So,

= -$48.32 + $28.55 + $28.55 + $28.55

= $37.33

hence, the amount after 3 weeks is $37.33

3 0

3 years ago

Three consecutive even numbers have a sum where one half of that sum is between 90 and 105.

dexar [7]

$n;\ n+2;\ n+4-three\ consecutive\ even\ numbers\\\\90 \ \textless \ \dfrac{1}{2}(n+n+2+n+4) \ \textless \ 105\\\\90 \ \textless \ \dfrac{1}{2}(3n+6) \ \textless \ 105\ \ \ |multiply\ both\ sides\ by\ 2\\\\180 \ \textless \ 3n+6 \ \textless \ 210\ \ \ |subtract\ 6\ from\ both\ sides\\\\174 \ \textless \ 3n \ \textless \ 204\ \ \ |divide\ both\ sides\ by\ 3\\\\58 \ \textless \ n \ \textless \ 68\\\\Answer:\\60;\ 62;\ 64\ or\ 62;\ 64;\ 66;\ or\ 64;\ 66;\ 68\ or\ 66;\ 68;\ 70.$

5 0

2 years ago

Read 2 more answers

It takes 20 hours and $400 to interview a candidate, and it takes 120 hours and $3600 to train an employee. A company has less t

zavuch27 [327]

Let C denote the number of candidates they interview and E the number of employees they train.

If it takes 20 hours and $400 to interview a candidate, then it takes 20C hours and $400C to interview C candidates.

If it takes 120 hours and $3600 to train an employee, then it takes 120E hours and $3600E to train E employees.

Company has less than $95000, then 400C+3600E<95000.

Company wants to spend at most 470 hours, then $20C+120E\le
 470$ .

You obtain the system of two inequalities:


$\left \{ {{400C+3600E\ \textless \ 95000} \atop {20C+120E\le
 470}} \right. \\ \left \{ {{4C+36E\ \textless \ 950} \atop {C+6E\le 
23.5}} \right. \\ \left \{ {{4C+36E\ \textless \ 950} \atop {4C+24E\le 
94}} \right.$
Then you can solve this system according to your demands.

3 0

2 years ago

An engineering student is studying the effects of cryogenic treatments on a particular material. The treatment involves cooling

kvv77 [185]

The true statement about the graph from the attached image below is: The material's temperature reaches a minimum at 15 hours.

<h3>What is the parabolic graph of the quadratic equation?</h3>

The parabolic graph is a curved U-shaped graph that is established from a quadratic equation.

The parabola of the graph can be downward creating a maximum or upward (minimum).

From the given image, the correct interpretation shows that as a result of cryogenic treatment, the material's temperature reaches a minimum at 15 hours.

Learn more about parabolic graphs here:

brainly.com/question/33428

#SPJ1

8 0

2 years ago