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2 years ago

The fox population in a certain region has a relative growth rate of 5 percent per year. It is estimated that

Mathematics

1 answer:

Wewaii [24]2 years ago

3 0

Use the function from part a to estimate the fox population in the year 2006.round to the nearest fox

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Ricardo's Appliance is having a 35% off sale on

Salsk061 [2.6K]

the answerrrrrrr is

356.85

8 0

3 years ago

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

What is the vertex of the graph of the function f(x) = x² + 8x - 2?

chubhunter [2.5K]

Answer:

(4, -18)

Step-by-step explanation:

First Use this formula for the x -axis -b/2a

-8/2(1) is -4

Then plug in -4 to the equation

(-4)^2+8(-4)-2 = -18

6 0

2 years ago

The number 0.1111... repeats forever; therefore, it is irrational. True or False.

Rasek [7]

Answer is True. We cannot write it in rational form where both numbers are finite integers. In this case we cannot represent this number as fraction of finite integers therefore it is irrational.

6 0

3 years ago

Read 2 more answers

Graph the linear equation.find three points that solve the equation, then plot on the graph x-y=1

Anarel [89]

Answer: (0,-1) , (1,0), (2,1) hope this can help you.

Step-by-step explanation:

4 0

3 years ago