Which of the following statements is true?


The range is the set of all input values and is the independent variable.


The domain is the dependent variable and is determined by the range.


The independent variable varies as the dependent variable varies

The independent variable is the input value

Answer:

15 dots

Step-by-step explanation:

formula :: 1/2 x n ( n +1 )

fig 1 ; 1 /2 x 1 ( 1+1 ) = 1 dot

fig 2 :; 1/2 x 2 ( 2+1 ) = 3 dots

......

fig 5 :: 1/2 x 5 ( 5+1 ) = 15 dots

Answer: x=  

6

7

​

=1  

6

1

​

≈1.166666667

y=−  

9

14

​

=−1  

9

5

​

≈−1.555555556

Step-by-step explanation:

Answer:

[tex]A=4.5[/tex]

Step-by-step explanation:

The area between two curves over the interval [tex][a,b][/tex] is [tex]A=\int\limits^b_a {f(x)-g(x)} \, dx[/tex] where [tex]f(x)[/tex] is the upper function and [tex]g(x)[/tex] is the lower function.

Therefore:

[tex]A=\int\limits^3_0 {3x-x^2} \, dx[/tex]

[tex]A=\frac{3}{2}x^2-\frac{x^3}{3}\Big|_0^3[/tex]

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

[tex]A=\frac{3}{2}(9)-\frac{27}{3}[/tex]

[tex]A=\frac{27}{2}-\frac{27}{3}[/tex]

[tex]A=\frac{9}{2}[/tex]

[tex]A=4.5[/tex]

So, the area between [tex]f(x)=3x[/tex] and [tex]g(x)=x^2[/tex] on the interval [tex](0,3][/tex] is [tex]4.5[/tex] square units.

2,000 Sorry That Was I Know #carryonlearning

461.176470588

Explanation:

2×56=112

112×420=47040

---------------------------------

3×34=102

---------------------------------

47040÷102=461.176470588

Answer:

x = 4

Step-by-step explanation:

Use elimination method.

-----------------

3x + 5y = 10

-(1x + 5y) = -1(2)

-1x -5y = -2

------Simiplify------

2x = 8

x = 4

Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Nails that are more than 0.02 inches from the mean are unusable, hence:

[tex]Z = \frac{0.02}{\sigma}[/tex]

[tex]Z = \frac{0.02}{0.009}[/tex]

[tex]Z = 2.22[/tex]

The proportion is P(|Z| > 2.22), which is 2 multiplied by the p-value of Z = -2.22.

Z = -2.22 has a p-value of 0.0132.

2 x 0.0132 = 0.0264

0.0264 x 100% = 2.64%

2.64% of all the nails produced by this machine are unusable.

You can learn more about the normal distribution at https://brainly.com/question/24663213

The description of the intersection of plane A and plane B is line CD

From the question (see attachment for the diagram of both planes), we have the following highlights

Both planes meet at the line that joins points C and D.

Hence, the description of the intersection of plane A and plane B is line CD

Read more about planes and lines at:

https://brainly.com/question/13099718

Answer:

The first answer, CD, is correct.

Edg, 2023

Answer:

24 Square Inches

Step-by-step explanation:

[tex] {6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

The potential roots of the function are, [tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex]

And the accurate root is 3 it can be determined by using rules of the rational root equation.

Function; [tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45[/tex]

Which of the values shown are potential roots of the given equation?

Potential roots of the polynomial are all possible roots of f(x).

[tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45[/tex]

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

[tex]\rm p=\dfrac{All\ the \ positive}{Negative\ factors \ of\ 45}[/tex]

[tex]\rm q=\dfrac{All\ the \ positive}{Negative\ factors \ of\ 3}[/tex]

The factor of the term 45 are,

[tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45[/tex]

And The factor of 3 are,

[tex]\pm1, \ \pm3[/tex]

All the possible roots are,

[tex]\dfrac{p}{q} = \pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex]

Now check for all the rational roots which are possible for the given function,

[tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45\\\\ f(1) = 3(1)^3 - 13(1)^2 -3(1) + 45 = 3-13-3+45 = 32\neq 0\\\\ f(-1) = 3(-1)^3 - 13(-1)^2 -3(-1) + 45 =- 3-13+3+45 = 32\neq 0\\\\ f(3) = 3(3)^3 - 13(3)^2 -3(3) + 45 = 81-117-9+45 =0\\\\ f(-3) = 3(-3)^3 - 13(-3)^2 -3(-3) + 45 = -81+117+9+45 =-144\neq 0[/tex]

Therefore, x = 3 is the potential root of the given function.

Hence, The potential roots of the function are, [tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex].

For more details about Potential roots refer to the link given below.

https://brainly.com/question/25873992

Answer: ALL OF THEM

Step-by-step explanation:

Answer: last one

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

First you combine the like terms. next you add 7+23. After that you subtract 10 from both sides. You're left with 4x=20. divide the equation by 4 on each term. Then you're left with x=5.

Based on the information given, it can be deduced that the perimeter of the garden will be 56 feet.

Since the rectangular garden is surrounded by a 6ft-wide and 8ft-long and Sally wants to double the dimensions, the new dimensions will be 12ft and 16ft.

Perimeter of a rectangle = 2(l + w)

Perimeter = 2(12 + 16)

Perimeter = 2(28)

Perimeter = 56 feet.

Learn more about perimeter on:

https://brainly.com/question/24382052

Answer:

Step-by-step explanation:

When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"

Group together two terms, watch out for the negative signs!

x^3 + 2x^2-5x-10=0

(x^3 + 2x^2) - (5x+10)=0

Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.

x^2(x+2)-5(x+2)=0

Now you can factor out that (x+2) because it is both terms.

x^2(x + 2) - 5(x + 2)=0

~~~~ ~~~~

Pull these out.

What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)

(x + 2)(x^2 - 5) = 0

If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.

x = -2 and x = +- sqrt5

Answer:

The answer is B

Step-by-step explanation:

The answer would be B because the domain of a function is always all real numbers.

Answer:

48

Step-by-step explanation:

4 plus 8 is 12 and the ones digit is double the tens digit

Answer:

46 bc 250 -20 =230 and 230÷5= 46

Answer:

I think it's B.

Step-by-step explanation:

The absolute value of -56 is 56

the new sentence is 56____1561

A is not true because 56 is not bigger then 1561 if you count and put on number line

B is very true if you look at A. 56 is smaller than 1516

So, the answer is a

I hope this helped if it's wrong, plz blame me.

Ps.Brainlist would help a lot

Answer:

B

Step-by-step explanation:

The | | around -56 means absolute value or the total of the number, which in this case is 56, therefore 56 is less than 1561.

Answer:

50

Step-by-step explanation:

she pays 10 in a flat fees and 2 dollars a minute so you multiply the 2 by 20 and add 10

Answer:

3.7 and east.

Step-by-step explanation:

Answer:

3.7 and east

Hope this helps! Good luck!! :)

Answer:

um

Step-by-step explanation:

Answer:

Its white! atleast i think its white because your pfp has white clothes on

Answer:

4

Step-by-step explanation:

The graph of the function is attached in the solution.

A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.

Given is an equation, y = 2x-4, we need to determine its graph,

So, for the same, finding the coordinates,

y = 2x-4

Put x = 0

y = -4

(0, -4)

Put x = 1

y = -2

(1, -2)

Put the coordinates on the graph and the join them, the line obtained by this will represent the graph of the function given.

Hence. the graph of the function is a straight line.

Learn more about graphs, click;

https://brainly.com/question/17267403

#SPJ7

Answer:

Is the question worded properly?

I find the intersection of the two lines to be (5,1), which is not an answer option.

Step-by-step explanation:

We want the value of x that will produce a value of 1, which will be the point the curve crosses y = 1.  

log (10) = 1

Therefore 2x = 1, and x = 5

(5,1)

Answer:

Step-by-step explanation:

Choosing a white pen from box a

lmk if you're looking for point slope form but it's y =  2/5x - 3

Answer:

So Jennys Jean store charges the higher rate.

Step-by-step explanation:

Jeanys Jean store

Cost/pair = 20/1 = $20 per pair

Jeans warehouse

Cost/pairs = 36/2 = $18 per pair

So Jennys Jean store charges the higher rate.

Answer:

amplitude = 2

Step-by-step explanation:

Given sine in standard form

y = asinbx + c

amplitude = | a | , period = [tex]\frac{2\pi }{b}[/tex] , c is the vertical shift

Given

y = - 2sin(3x) + 6

amplitude = | - 2 | = 2