Please help. I am really stuck on this little problem. I need to find the domain and Range for this graph.

Answer:

Option (2)

Step-by-step explanation:

From the table attached.

First column is representing the x-values (input values) and second column is representing the value of the function (output values).

For x = -6,

f(x) = 8

For x = 7,

f(x) = 3

For x = 4,

f(x) = -5

For x = 3,

f(x) = -2

For x = -5,

f(x) = 12

Therefore, f(x) = -2 is one of the output values.

Option (2) will be the correct option.

The value that is an output of the function among the options is -2.

A function relates an input to an output.

A function relates each element of a set with exactly one element of another set.

Therefore, the output are the dependent variable. They are also called range.

Generally, they are regarded as range, output or dependent variables.

Therefore, the output of the table is f(x) values which includes the following:

Hence, the output of the function in the option is -2.

learn more on functions here: https://brainly.com/question/26608835

Answer:

Pink, shiny cars were preferred by buyers at that time

Step-by-step explanation:

Rewriting the sentence, removing unnecessary words

Hello,

Answer is C

[tex]a_1=0.5=\dfrac{1}{2} \\\\a_2=-0.1=-\dfrac{1}{10} =a_1*(-\dfrac{2}{10} )=a_1*(-\dfrac{1}{5} )\\\\a_3=0.02=\dfrac{2}{10^2} =a_2*(-\dfrac{2}{10} )=a_2*(-\dfrac{1}{5} )=a_1*(-\dfrac{1}{5} )^2\\...\\a_n=a_1*(-\dfrac{1}{5} )^{n-1}\\\\\boxed{a_n=0.5*(-0.2)^{n-1}}\\[/tex]

Answer:

[tex]2 \times 4 \times 8 \times 50 \times 125 \\ \\ = 400000[/tex]

Answer:

15.24m

Step-by-step explanation:

1-foot=0,304m then 50-foot=0,304*50=15,2 m

the sum of triangle is 180:

[tex]y + 40 + y + 30 = 180 \\ 2y + 70 = 180 \\ 2y = 180 - 70 \\ 2y = 110 \\ y = \frac{110}{2} \\ y = 55[/tex]

Answer:

Step-by-step explanation:

Answer:

(b) [tex]x \ge -3[/tex]

Step-by-step explanation:

Given

[tex]g(x) = \sqrt{x + 3}[/tex]

Required

The domain

For [tex]g(x) = \sqrt{x + 3}[/tex] to be defined, the following must be true

[tex]\sqrt{x + 3} \ge 0[/tex]

Square both sides

[tex]x + 3 \ge 0[/tex]

Subtract 3 from both sides

[tex]x \ge -3[/tex]

Hence, the domain is:

(b) [tex]x \ge -3[/tex]

Answer:

then why are you asking?

Step-by-step explanation:

okay

Answer:

[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]

Step-by-step explanation:

The Point Slope formula is a algebraic formula used for

The formula is

[tex]{y - y _1} = m(x - x_1)[/tex]

We are given its slope and we know a pair of points

Note a y intercept is (0,b). Where b is any real number so our points are (0,2).

Plug it in the expression

[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]

Answer: 7(n + 4)

Step-by-step explanation:

I'm not sure how to explain this one, but I'll try:

Seven times the sum of a number, n, and four

7 times n + 4   (sum means addition)

Step-by-step explanation:

V = πr²h

V = 3 × 14² × 28

v = 16464cm³

Answer:

80 degrees

Step-by-step explanation:

First find the the angles N and L:

5x=3x+40

2x=40

x=20

m<N= 100 m<L=100

Now we know that the sum os all Interior angles of a parallelogram is 360

and you know that opposite sides are equal

hence,

2y= 360-2(100)   y being angle M (or o)

2y= 160

y=80

Answer:

The 2nd one

Step-by-step explanation:

Did the test

Answer:

$58.8 million

Step-by-step explanation:

43% of x = 25.3 million

.43x = 25300000

x = 25300000 ÷ .43

x = 58837209.30

x = 58.8 million

Answer:

Step-by-step explanation:

As you can see in the venn diagram that is attached below, The individuals that drink milk are in green, those that drink curd are in yellow, and those that drink both are in light blue. Since the sum of those that drink milk with those that drink curd is 110 and a total of 120 students were surveryed. Then this means that 10 of the students neither drink milk nor curd. These students are represented outside of the venn diagram but within the box of surveyed students.

Answer:

see explanation

Step-by-step explanation:

To verify cos²A + sin²A = 1 with A = 90° , then

cos²90° + sin²90°

= (0)² + (1)²

= 0 + 1

= 1

Answer:

Area of rectangular land = 1,440 cm².

Perimeter of rectangular land = 152 cm

Step-by-step explanation:

Given:

Length of rectangular land = 36 cm

Width of rectangular land = 40 cm

Find:

Area of rectangular land

Perimeter of rectangular land

Computation:

Area of rectangle = length x width

Area of rectangular land = 36 x 40

Area of rectangular land = 1,440 cm²

Perimeter of rectangle = 2[l + b]

Perimeter of rectangular land = 2[36 + 40]

Perimeter of rectangular land = 2[76]

Perimeter of rectangular land = 152 cm

Answer:

y = -4x + 2

Step-by-step explanation:

Given the following data;

Points (x1, y1) = (0, 2)

Perpendicular line = y = ¼x + 5

To find the equation of the straight line passing;

Mathematically, the equation of a straight line is given by the formula: y = mx + c

Where;

From the question, we can deduce that the slope (m) of the perpendicular line is ¼.

y = ¼x + 5 = mx + c

Since the points are perpendicular to the equation of line, it must have a slope that is its negative reciprocal because the slopes of perpendicular lines are negative reciprocals of each other.

Therefore, ¼ = -4

Next, we would write the equation of the straight line using the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - 2 = -4(x - 0)

y - 2 = -4x - 0

y - 2 = -4x

y = -4x + 2

Hi there!

[tex]\large\boxed{f''(x) = 2 - \frac{4}{x^{3}}}[/tex]

[tex]f(x) = x^2 - \frac{2}{x}[/tex]

Recall the power rule:

[tex]\frac{dy}{dx} x^n = nx^{n-1}[/tex]

Rewrite the function for ease of differentiation:

[tex]f(x) =x^2 - 2x^{-1}[/tex]

Use the power rule:

[tex]f'(x) = 2x + 2x^{-2}[/tex]

Take the derivative once more:

[tex]f''(x) = 2 - 4x^{-3}[/tex]

Rewrite:

[tex]f''(x) = 2 - \frac{4}{x^{3}}[/tex]

Answer:

6/7 inches

Step-by-step explanation:

If 7 stamps fit perfectly, we can find the width of each stamp by dividing the width of the frame by 7:

= 6/7

So, the width of each stamp is 6/7 inches

Hello,

[tex]f^{-1}(6)=5[/tex]

Answer:

Step-by-step explanation:

Rule defining the reflection across the line x = -2 has been given as,

[tex]r_{x=-2}[/tex]

Line x = -2 will work as a mirror for the given triangle J, K, L.

That means distance of the vertices J, K and L and image points J', K' and L' will be equidistant from the line x = -2,

Vertices of the image triangle J'K'L' will be,

J' → (-5, 2)

K' → (-3, 2)

L' → (-4, 1)

Answer:

The answer is "What is important for me to understand?".

Step-by-step explanation:

It is because it is based also on the conclusion that the word in the text read the Jac can draw. Essentially, the particular excerpt read by Jac in his coding book explains that, whether old or new, all older techniques used in the past, compared with the new factorization methods, in truth all shortcuts in mathematics are not feasible and hence all steps have to occur. This implies Jac has to discover what really is important, what he must comprehend, and whether whatever tactics he is using are old and new. The same would be valid of life itself; irrespective of how he chooses to live his life, there are times where shortcuts cannot be used.

Answer:

a. you risk losing your job

b. you expose your company to litigation by violating the software agreement.

Step-by-step explanation:

Doing this puts our job at a risk and it also exposes the company that you work for to litigation. Legally, there is an agreement that puts a limit to the total number of licenses that should be in use. When you use more licenses than you should, this could be regarded as theft. Normally the best thing that you should do is to ask purchasing that they make payments for another 10 licenses. It is very likely that this software company would know of this violation. as the users try to register this software, the software company could get knowledge of this. The activations are not to be shared.

(1) False. [tex]\{0\}\in\mathscr{U}[/tex] is saying "the set containing only 0 (that is, {0}) is an element of [tex]\mathscr U[/tex]", but this is not the case. [tex]\mathscr U[/tex] is the set containing only 0 and 1.

(2) True. [tex]\{0\}\subset\mathscr{U}[/tex] means "the set {0} is a subset of [tex]\mathscr{U}[/tex]". 0 itself is an element of [tex]\mathscr U[/tex], so {0} is indeed a subset of [tex]\mathscr U[/tex].

(3) True. 0 is clearly an element of [tex]\mathscr U[/tex].

(4) False. This statement says "0 is a subset of [tex]\mathscr U[/tex]" but 0 itself is not a set, it's a number.

Hello!

(1/3)^2x = (1/3)^x+14 <=>

<=> 2x = x + 14 <=>

<=> 2x - x = 14 <=>

<=> x = 14

Good luck! :)