Please help!! Did he graph the equation correctly?

Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

$P(t) = 0.8t^{2} + 6t + 19000$

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

$P(t) = 0.8t^{2} + 6t + 19000$

$0.8t^{2} + 6t + 19000 = 34200$

$0.8t^{2} + 6t - 15200 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$0.8t^{2} + 6t - 15200 = 0$

So $a = 0.8, b = 6, c = -15200$

Then

$\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356$

$t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14$

$t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64$

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0

3 years ago

Everyone friend me Plz! Why not?<br> Btw What is 3{(x-5)+4}-8=31?

Lesechka [4]

Think about it think 6x5 or higher then you will get you answer by doing that

6 0

3 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

Pls answer this <br><br><br> 5 and _____ are reciprocal numbers.

Jet001 [13]

Answer:

1/5

Step-by-step explanation:

Reciprocal just means flipped you can put any whole number over 1 if it helps to see that

5/1 = 5

Since reciprocal is asking you to flip 5/1 meaning numerator becomes denominator and vice versa you end up with 1/5 being the reciprocal of 5

6 0

2 years ago

A 3-ounce serving of tuna provides 21 g of protein use equivalent ratios to find how many grams of protein are in 9 ounces of tu

cluponka [151]

Since 3 ounces=21 g of protein, you would multiply 21 g x 3, because 6 ounces would = 42g. using that principle 3×3 = 9 & 21×3 = 63.

4 0

3 years ago