Graph the following piecewise function and then find the domain.


[6,9)

(6,9]

(-4,9)

Answer:

X-intercept: (-7, 0)

Y-intercept: (0, -14/4)

Step-by-step explanation:

To find the intercepts plugin 0 for one variable and solve

2x+3(0)=-14

x=-7

2(0)+3y=-14

y=-14/3

Answer:

100,000>56,313 56, 56,313<100,000

Answer:

5 and 13

Step-by-step explanation:

To evaluate (w ￮ u)(8) , evaluate u(8) then substitute the value obtained into w(x) , that is

u(8) = = 8 + 9 = 17 , then

w(17) = [tex]\sqrt{17+8}[/tex] = [tex]\sqrt{25}[/tex] = 5

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

To evaluate (u ￮ w )(8) , evaluate w(8) then substitute the value obtained into u(x) , that is

w(8) = [tex]\sqrt{8+8}[/tex] = [tex]\sqrt{16}[/tex] = 4 , then

u(4) = 4 + 9 = 13

Answer:

Step-by-step explanation:

[tex]u(x)=x+9\\\\w(x)=\sqrt{x+8} \\\\(wou)(x)=u(w(x))=u(\sqrt{x+8} )=\sqrt{x+8}+9\\(wou)(8)= \sqrt{8+8}+9=4+9=13\\\\\\(uow)(x)=w(u(x))=w(x+9)=\sqrt{x+9+8}=\sqrt{x+17}\\(wou)(8)= \sqrt{8+17}=\sqrt{25}=5\\\\[/tex]

Step-by-step explanation:

As x increases. f(x) increases so their is a positive linear association.

Answer: (1, 2)

Concept:

There are three general ways to solve systems of equations:

Since the question has specific requirements, we are going to use elimination

Solve:

Given expressions

x + 5y = 11

-x + 4y = 7

Add both equations together to elimination [x] variable

(x + 5y) + (-x + 4y) = 11 + 7

x - x + 5y + 4y = 18

9y = 18

Divide 9 on both sides

9y / 9 = 18 / 9

[tex]\boxed{y=2}[/tex]

Find the x value

x + 5y = 11 ⇔ Given equation

x + 5(2) = 11 ⇔ Substitute values of y

x + 10 = 11 ⇔ Simplify by multiplication

x + 10 - 10 = 11 - 10 ⇔ Subtract 10 on both sides

[tex]\boxed{x=1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Stack the two equations and add them together as if they were multi-digit numbers. That will eliminate the x and then you can solve for the y. Knowing y you can then go back and solve for x.

Step-by-step explanation:

x + 5y = 11

-x + 4y = 7

---------------- "Add" the equations above to get the equation below.

9y = 18

Now you can divide both sides by 9 to see that y is equal to 2.

Now that you know that y = 2 you can substitute y in either of the two original equations. I'll use the first.

x + 5(2)= 11

x + 10 = 11

x = 1

Answer:

It is y = -4x + 9

Step-by-step explanation:

General equation of a line:

[tex]y = mx + c[/tex]

For a y-intercept, c :

consider point (2, 1):

y is 1, x is 2 and m is -4

[tex]y = mx + c \\ 1 = (2 \times - 4) + c \\ 1 = - 8 + c \\ c = 1 + 8 \\ c = 9[/tex]

therefore, equation is:

[tex]y = - 4x + 9[/tex]

The complete form of the equation is y = - 4x + 9

The slope intercept form of the line is given as:

y = - 4x + c

Where c = intercept , we need to calculate, c

Take any given value of y and x and substitute into the equation, the solve for c

Take x = 1, y = 5

5 = - 4(1) + c

5 = - 4 + c

Add 4 to both sides

5 + 4 = - 4 + c + 4

9 = c

Hence, the complete form of the equation is y = - 4x + 9

Learn more : https://brainly.com/question/20976827?referrer=searchResults

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

[tex]\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0[/tex]

Therefore, by the series divergence test, the series [tex]\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}[/tex] diverges.

EDIT: To VectorFundament120, if [tex](x_n)_{n\in\mathbb N}[/tex] is a sequence, both [tex]\lim x_n[/tex] and [tex]\lim_{n\to\infty}x_n[/tex] are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

Answer:

[tex]\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2} = \text{div}[/tex]

General Formulas and Concepts:

Calculus

Limits

Series Convergence Tests

Step-by-step explanation:

*Note:

Always apply the nth Term Test as the first test to use for convergence.

Rules:

Step 1: Define

Identify

[tex]\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2}[/tex]

Step 2: Find Convergence

∴ by the nth Term Test, the series diverges.

Topic: AP Calculus BC (Calculus I + II)

Unit: Convergence Tests

Answer:

12500 - 10190 = 2310 ft.

Step-by-step explanation:

Answer:

length*breadth*height

Answer:

Step-by-step explanation:

Coordinates of the points C and D:

The point E has coordinates of (x, y).

The point E is at 3/4 of CD from C and 1/4 of CD from the point D.

Find coordinates of E:

The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: [tex]R: (500, \infty)[/tex]

Given that:

[tex]Phone = \$500[/tex]

[tex]Monthly\ Plan = \$60[/tex]

Let the number of months be t. So, the function C(t) is calculated as follows:

[tex]C(t) = Phone + Monthly\ Plan \times t[/tex]

[tex]C(t) = 500 + 60 \times t[/tex]

[tex]C(t) = 500 + 60t[/tex]

The range is calculated as follows:

The smallest possible value of t is 0 i.e. when no monthly subscription is done.

So, we have:

[tex]C(0) = 500 + 60\times 0= 500 + 0 = 500[/tex]

And the highest is [tex]\infty[/tex] i.e. for a large value of t

So, we have:

[tex]C(\infty) = 500 + 60\times \infty= 500 + \infty = \infty[/tex]

Hence, the range of the function is:

[tex]R: (500, \infty)[/tex]

Read more about range of functions at:

https://brainly.com/question/13824428

Answer:

The first one: 10*10*10*10*10*10

Step-by-step explanation:

This is because the power of a number is how many times you multiply it by itself (example: [tex]2^{4}[/tex] = 2*2*2*2 because the power is 4 which means you multiply the base by itself 4 times, in this case the base is 2)

Answer:

A. 10 · 10 · 10 · 10 · 10 · 10

Step-by-step explanation:

[tex]10^6[/tex] is just 10 times itself, 6 times.

Answer:

[tex]sum \: of \: exterior \: angle \: for \: a \: quadrilateral= 360 \\ x + 5x - 5 + 4x + 20 + 4x - 5 = 360 \\ x \: terms \: togather \\ x + 5x + 4x + 4x - 5 - 5 + 20 = 360 \\ 14x + 10 = 360 \\ 14x = 350 \\ x = 25 \\ thank \: you[/tex]

Answer:

Step-by-step explanation:

Let the price is x.

Set the equation and solve for x:

Answer:

$119.7

Step-by-step explanation:

Shipping is typically taken after tax so we can subtract shipping and find the tax.

141 - 15 = 126

126 * 0.05 = 6.3

Now we can subtract to find what she spent on items.

126 - 6.3 = 119.7

Best of Luck!

Answer:

Step-by-step explanation:

2y = 3-2x

y = -x + 3/2

Slope of line = coefficient of x = -1

Answer:

4.37 (repeated)

Step-by-step explanation:

Answer:

[tex]\frac{131}{30}[/tex]

Step-by-step explanation:

1. Convert the decimal into a fraction by writing our number above a fraction line without the decimal sign.

2. Count the decimal places. Below the fraction lines write the multiple of 10 with that many zeros so that would be [tex]\frac{17}{10}[/tex]

3. Now write all numerators above the lcd (least common denominator) 30. So that would be [tex]\frac{51 + 60 + 20}{30}[/tex]

4. Calculate the sum of the positive numbers. The result is [tex]\frac{131}{30}[/tex]

5. Answer is [tex]\frac{131}{30}[/tex]

Answer:

[tex]radius \: of \: first \: circle \: = \frac{3}{2} = 1.5cm \\ radius \: of \: \: second = \frac{4}{2} = 2cm \\ radius \: of \: third = \frac{6}{2} = 3cm \\ then \: ab \: length \\ = radius \: of \: first + diameter \: of \: second \: +r adius \: of \: third \\ = 1.5 + 4 + 3 \\ = 1.5 + 7 \\ = 8.5 cm\\ thank \: you[/tex]

Answer:

a

Step-by-step explanation:

Answer:

1 cup equals 16 tablespoons you have 2 cups so that is 32 tablespoons so you can make 16 servings. I think :)

hope this helps

Answer: 2:5

Step-by-step explanation:

To find the ratio, we need to find the greatest common factor and divide both of the dimensions by the greatest common factor. In this case 12 is the greatest common factor.

24/12=2

60/12=5

Therefore, the ration that expresses the scale used to create this dimension is 2:5.

Answer:

8

Step-by-step explanation:

the relationship of one "unit" (bolt) of cloth to 47 people makes this number (47 people) also an unit.

to answer the question we need to find out, how many units fit into the target.

how do we do that ? by division.

when we divide a/b, then we are actually asking, how many times does b fit into a.

so, how many bolts are needed for 376 people ?

well, how often does 47 fit into 376 ? how often can we build groups of 47 people out of the 376 ?

the answer

376 / 47 = 8

so, 8 bolts are needed.

Answer:

1 bolts = 47 people

so, 47+47+47+47+47+47+47+47= 376 people

The answer is 8 bolts

Step-by-step explanation:

[tex]\displaystyle \lim_{h \to 0} \dfrac{[-4(x + h) - 1] - (-4x - 1)}{h}[/tex]

[tex]\displaystyle \:\:\:\:\:\:\:\:\:=\lim_{h \to 0}\dfrac{-4h}{h}[/tex]

[tex]\:\:\:\:\:\:\:\:\:=-4[/tex]

Answer:

yes

Step-by-step explanation:

Each input has one corresponding output.

Answer:

(6, 6)

Step-by-step explanation:

T (-1, 2) = move down 1, right 2

(1, 4) turns into (3, 3)

Dilation scale factor = 2

Multiply x and y value by 2

(3, 3) = (6, 6)

Answer:

hey

here is the attachment of your question

Answer:

[tex]thank \: you[/tex]

Answer:

{x : x Σ N, x<15}

Step-by-step explanation:

Set of all natural number less than 14 = {x : x Σ N, x<15}

Answer:

Solution=96°+x+35°

=x+96°+35°

=x=96°-35°

=x=61°