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3 years ago

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33 POINTS!!! Use the following data to determine the type of function (linear, quadratic, exponential) that best fits the data s

et. (1, 2) (5, 7) (9, 8) (3, 4) (4, 5) (2, 3)

1 answer:

uranmaximum [27]3 years ago

7 0

Answer:

The quadratic curve has the best correlation to the given data.

Step-by-step explanation:

Enter the data into a spreadsheet or graphing calculator and try the different regression options to see which gives the highest R-value. Here, the quadratic regression does that.

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

3 years ago

Your Aunt Matilda passes away and leaves you with the tidy sum of $50,000. You find a bank that will pay you 5.15 % per year com

ohaa [14]

Answer:

Deduction in the step-by-step explanation

Step-by-step explanation:

If a P0=50.000 deposit is compound every instant, the ammount in the account can be modeled as:

$P(t) = P_{0}*e^{it}$

If you pull out d dollars a year, the equation becomes:

$P(t) = P_{0}*e^{it}-d*t$

If we derive this equation in terms of t, we have

$P(t) = P_{0}*e^{it}-d*t\\dP/dt=d(P_{0}*e^{it})/dt-d(d*t)/dt\\dP/dt=i*P_{0}*e^{it}-d\\$

The first term can be transformed like this:

$i*P_{0}*e^{it} = i*P(t)$

So replacing in the differential equation, we have

$dP/dt=i*P_{0}*e^{it}-d\\dP/dt=i*P(t)-d$

Rearranging

$dP/dt-i*P(t)=-d$

5 0

3 years ago

25 points ???? ASAP PLEASE HELP

ArbitrLikvidat [17]

Answer:

next Slopes are 4 and 20

Step-by-step explanation:

they are

3 0

2 years ago

Read 2 more answers

I had to hire a plumber to come fix a leaky pipe. The first day he worked 3 hours and charged me $450. The next day he came back

Dahasolnce [82]

Answer:

?

Step-by-step explanation:

6 0

3 years ago

Pls help! I will give you brainliest answer

dexar [7]

Answer:

whats the question?

Step-by-step explanation:

3 0

3 years ago