Show that the function is either continuous or discontinuous at the given value of x

f(x)= 3x-1/2x+6 at x = -3

Answer:

30/75  2/5

Step-by-step explanation:

there are 30 shaded squares, and a total of 75 squares. Therefore the fraction is 30/75.   This can be simplified to 2/5 if both sides are divided by fifteen.

To make a percentage, simply divide 2 by 5 which equals 0.4 = 40%

Answer:

(39,000 + 3t = 216000.)  t = 59000

Step-by-step explanation:

(How to find t) First, subtract 39000 from 216000. Divide that by 3. Your answer is 59000.

Answer:

Q1. [tex](-\frac{3}{2},0)[/tex]

Q2. (-16, 0)

Step-by-step explanation:

The midpoint of a line segment is given by the formula:

[tex]\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )}[/tex]

In the formula, [tex](x_1,y_1)[/tex] is the first endpoint while [tex](x_2,y_2)[/tex] is the second endpoint of the line segment.

__________

Q1. Substitute the given endpoints into the formula:

Midpoint

[tex]=(\frac{-5+2}{2} ,\frac{5-5}{2} )[/tex]

[tex]=(\frac{-3}{2} ,\frac{0}{2} )[/tex]

[tex]= \bf{(-\frac{3}{2} ,0)}[/tex]

__________

Q2. Let the other endpoint be (x, y).

Substitute the given midpoint and one endpoint:

(-6, 4)=[tex](\frac{x+4}{2} ,\frac{y+8}{2} )[/tex]

Comparing the x-coordinate:

[tex]\frac{x+4}{2} =-6[/tex]

Multiply both sides by 2:

x +4= -12

Subtract 4 from both sides:
x= -12 -4

x= -16

Comparing the y-coordinate:

[tex]\frac{y+8}{2} =4[/tex]

Multiply both sides by 2:

y +8= 8

Subtract 8 on both sides:

y= 8 -8

y= 0

The coordinates of the other endpoint is thus (-16, 0).

__________

For more questions on midpoint, check out: https://brainly.com/question/17247547

Step-by-step explanation:

your own work, please ...

my own work is

1.

the midpoint between 2 points (x1, y1) and (x2, y2) is

((x1 + x2)/2, (y1 + y2)/2)

so, our midpoint is

((-5 + 2)/2, (5 + -5)/2) = (-3/2, 0/2) = (-3/2, 0)

2.

we have

((x1 + 4)/2, (y1 + 8)/2) = (-6, 4)

so,

(x1 + 4)/2 = -6

x1 + 4 = -12

x1 = -16

(y1 + 8)/2 = 4

y1 + 8 = 8

y1 = 0

so, the other endpoint is (-16, 0).

Answer:

x ≤ 9

Step-by-step explanation:

Answer:

well, i think that it's l-2l + l9l

Step-by-step explanation:

hope its right:)

Answer:

well they're just copy pasting the questions from their essay response homework so...

Step-by-step explanation:

Answer:

Positive Integer

Step-by-step explanation:

An integer is a whole number.

462 is an integer and is positive.

Answer: positive integer

Step-by-step explanation:

Kinda obvious

Answer:

ticket for movie A = 35
ticket for movie B = 12

Step-by-step explanation:

Let A= is ticket  for movie A
Let A= is ticket  for movie B

We have A + B  = 47 (1)
4A + 5B = 200  (2)

From (1) multiply 5 in both side 5A + 5B = 47(5)= 235
                                                     4A + 5B =           200

So A = 35
   B= 47-35 = 12

I hope that help..

Answer: 0.67 unit

Step-by-step explanation:

Points are,

( 4 , 6 ) & ( 7 , 8 )

Distance= ( 8 - 6 )/( 7 - 4 )  = 0.67 unit

Answer:

8494.87 is the actual answer but the rounded version is 8494.9

Step-by-step explanation:

3.142×52^2=8494.866535

8494.9 nearest tenth

Answer:

43046721/4096

m4n4

Step-by-step explanation:

the output would be y because it is by itself on the left side of the equation symbol.

Answer:

Step-by-step explanation :The input-output table is able to “depict the relationship between different sectors of the national economy, and the structural connection of production and final demand in a consistent manner” (KSH, 2005, p. 5). A basic requirement of the table is symmetry, which means that sectoral output and use have to be equal.

im not sure though hope this kinda helps

Answer:

You distribute the 2xy and get

2xy(3xy + 5y - xy^2) = 6(x^2)(y^2) + 10xy^2 - 2(x^2)(y^3)

Answer:

118?

Step-by-step explanation:

This question is incomplete, the complete question is;

In order to determine an interval for the mean of a population with unknown standard deviation, a sample of 58 items is selected. The mean of the sample is determined to be 36. The associated number of degrees of freedom for reading the t value is :

a. 35.

b. 57.

c. 36.

d. 58.

Answer: Option b. 57 is the correct answer.

Step-by-step explanation:

Given that;

sample size n = 58

sample mean x" = 36

degrees of freedom for reading the t value is = ?

we know that;

Degree of freedom df = n - 1

where n is the sample size

so we substitute

Degree of freedom df = 58 - 1

Degree of freedom df = 57

Therefore Option b. 57 is the correct answer.

Answer:that's hard

Step-by-step explanation:

Answer:

y=[tex]\frac{1}{3}[/tex]x +4

Step-by-step explanation:

Answer:

c Sorry am not sure

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Im to lazy to do the math

Answer:

7/25

Step-by-step explanation:

Answer is C

Answer:

[tex]\huge\boxed{\dfrac{x^2+9^2}{x-3y}+\dfrac{6xy}{3y-x}=x-3y}[/tex]

Step-by-step explanation:

Domain:

[tex]x-3y\neq0\Rightarrow x\neq3y[/tex]

[tex]\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{3y-x}=\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{-(x-3y)}\\\\=\dfrac{x^2+9y^2}{x-3y}-\dfrac{6xy}{x-3y}=\dfrac{x^2+9y^2-6xy}{x-3y}\\\\=\dfrac{x^2-2(x)(3y)+(3y)^2}{3y-x}=\dfrac{(x-3y)^2}{3y-x}\\\\=\dfrac{\bigg[-1(3y-x)\bigg]^2}{3y-x}=\dfrac{(-1)^2(3y-x)^2}{3y-x}\\\\=\dfrac{1(x-3y)(x-3y)}{x-3y}=x-3y[/tex]

Used:

The distributive property: a(b + c) = ab + ac

(a - b)² = a² - 2ab + b²

Answer:

[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]

Step-by-step explanation:

The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

Where

r is radius of cone and h is its height

We need to solve the above formula for r.

Cross multiplying both sides of the given formula

[tex]3V=\pi r^ 2h[/tex]

Dividing both sides by πh.

[tex]\dfrac{3V}{\pi h}=\dfrac{\pi r^2 h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\r=\sqrt{\dfrac{3V}{\pi h}}[/tex]

So, the formula for r is [tex]\sqrt{\dfrac{3V}{\pi h}}[/tex]

Answer: Put the problem into Desmos Graphing Calculator

Step-by-step explanation:

Answer:

option D.

Step-by-step explanation:

average rate of change in steel production over the eight days=-0.15 tons per day

Step-by-step explanation:

The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons.

Production is dropped by 1.2 tons, so its negative

Average rate of change = Change in production / number of days

Average rate of change = -1.2/ 8= -0.15

so sorry -0.15

The reasonable range of the given function is given by {130, 260, 390, 520, .......}.

A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range simply refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.

In order to determine the reasonable range of the given function, we would create an input and output table to model the relationship between the range and domain as follows:

x         130x         y___

1          130(1)       130

2         130(2)      260

3         130(3)      390

4         130(4)      520

Therefore, the reasonable range of the given function is given by {130, 260, 390, 520, .......}.

Read more on reasonable range here: https://brainly.com/question/17319601

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Answer:

14x - 12y

Step-by-step explanation:

Let's write the sum:

(10x - 4y) + (4x -8y)

Because we're only doing addition and subtractaction, we can drop the  parentheses that aren't preceded by a minus sign, they don't change the order.

10x - 4y + 4x - 8y

as long as we don't change the sign preceding each component, we can reorder as we wish

10x + 4x - 4y - 8y

(10x + 4x) - (4y + 8y)

note that because we added a parenthesis preceded by a - the sign inside changed.

We perform additions inside of the parentheses:

10x + 4x = 14x

4y + 8y = 12y

and we arrive at the final result:

14x - 12y