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3 years ago

15

Find the limit of the function algebraically. alt='limit as x approaches zero of quantity negative seven plus x divided by x squ

ared.'

1 answer:

Pavlova-9 [17]3 years ago

5 0

Answer:

lim x->0 (-8+x)/x^2

just plug in x = 0

(-8+0)/0

now this fraction is a negative number divided by 0.

So, it equals -infinity.

The limit value is infact -infinity,

so the given option, "Does Not Exit" is the best choice.

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Help! Please !!!<br> <3

MatroZZZ [7]

Move the decimal over 5 times when it's a positive interval notation:

200,000

660,000

4 0

3 years ago

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

2 years ago

If x is 4 then y is

Eduardwww [97]

Answer:

2

Step-by-step explanation:

if x is 4 then y is 2 unlesss uknwo

6 0

3 years ago

Help! answer options included

lawyer [7]

Answer:

Y = [-6 6 6 -6]

Step-by-step explanation:

From the given matrices

If X - 2Y = Z

b - 2c = a ... 1

a -2d = c ...2

4+2a = 16.... 3

a + 2b = b .... 4

From3 ;

2a = 16-4

2a = 12

a = 6

From 4;

a + 2b - b = 0

a+b = 0

a = -b

6 = -b

b = -6

From1;

b - 2c = a

-6 - 2c = 6

-2c = 12

c = -6

also

a - 2d = c

6-2d = -6

-2d = -6-6

-2d = -12

d = 6

Hence the matrices Y = [-6 6 6 -6]

4 0

2 years ago

Which of the following functions is graphed below.

Valentin [98]

Answer: Option A

$y=\left \{ {{x^2 +2;\ \ x$

Step-by-step explanation:

In the graph we have a piecewise function composed of a parabola and a line.

The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.

The equation of this parabola is $y = x ^ 2 +2$

Then we have an equation line $y = -x + 2
$

Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."

(this is $x< 1$ )

Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .

(this is $x\geq 1$ )

Then the function is:

$y=\left \{ {{x^2 +2;\ \ x$

7 0

2 years ago