you move left 2 units and right 9 units. you end at (4,5). where did you start?​

This is about understanding domain of a function.

The domain of the function is x is a set of positive integers.  

f(x) = 126/x

Where;

f(x) is the number of days it would take to complete a project with x number of workers

x is number of workers it will take to complete the project.

Domain is defined as the set of all possible input values for which the function is defined.

Let's try x = 0 workers.

f(x) = 126/0 ; this is undefined and so x cannot be zero.

Let's try x = 1 worker

f(x) = 126/1 = 126 days

Let's try x = 10 workers

f(x) = 126/10 = 12.6 days

Let's try x = 100 workers

f(x) = 126/100 = 1.26 days

We see that every positive integer is a possible value of x that can make the function defined. Since 0 and negative numbers will make the function invalid.

Thus, the domain of the function is x is a set of all positive integers.

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Answer: y=(-1/2)x+5.5

Step-by-step explanation:

y=2x+3

This equation is in the slope-intercept form y=mx+b

m is the slope.

b is the y-intercept, the value of y when x=0.

m=2

The slope of the perpendicular line is -1/2.

(y-y1)=m(x-x1)

(y-4)=(-1/2)(x-3)

y-4=(-1/2)x+1.5

add 4 to both sides

4+y-4=(-1/2)x+1.5+4

y=(-1/2)x+5.5

Answer:

y = -1/2x + 2

Step-by-step explanation:

The slope of a perpendicular line will be the opposite reciprocal (opposite sign, and reciprocal)

The line's slope is 2, so the perpendicular line's slope will be -1/2.

Now, we know part of the equation: y = -1/2x + b

Plug in the point given:

5 = -1/2(-6) + b

5 = 3 + b

2 = b

Now, we can plug in b into the equation:

y = -1/2x + 2

Answer:

1875 cm3

Step-by-step explanation:

20 * 20 * 5 - (5 * 5 * 5) = 1875 cm3

Answer:

1,875

Step-by-step explanation:

Answer:

[tex]x=\pm 7\text{ or } x=\pm i\sqrt{2}[/tex]

Step-by-step explanation:

We have the equation:

[tex]x^4-5x^2-14=0[/tex]

Since this is in quadratic form, we can consider using u-substitution. Thus, we will let:

[tex]u=x^2[/tex]

Then by substitution:

[tex]u^2-5x-14=0[/tex]

Now we can solve normally. Factor:

[tex](u-7)(u+2)=0[/tex]

Zero Product Property:

[tex]u=7\text{ or } u=-2[/tex]

Back-substitute:

[tex]x^2=7\text{ and } x^2=-2[/tex]

Take the square root of both sides. Since we are taking an even-root, we will need to add plus-minus:

[tex]x=\pm 7\text{ and }x=\sqrt{-2}[/tex]

Therefore, our solutions are:

[tex]x=\pm7\text{ and } x=\pm i\sqrt{2}[/tex]

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The amount left in the bank account is -$50.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount in the bank account = $150

Cost of the bike = $200

The amount left in the bank account.

= 150 - 200

= -$50

Thus,

The amount left in the bank account is -$50.

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Step-by-step explanation:

R is 4 times so the equation will be

32 = 4r

32/4 = r

8 = r

Answer:

We are talking about Complex numbers.

Considering [tex]\mathbb{C}[/tex] as the set of Complex numbers, we have

[tex]\Bbb{C}=\{a+bi\ : a, b \in\ \Bbb{R}\}[/tex]

A complex number is a number of the form [tex]a+bi[/tex]

as [tex]i^2=-1[/tex]

Answer:

x= 3 +√509/10

Or

x= 3 - √509/10

Step-by-step explanation:

Given:

5x2-3x = 25

Using completing the square method of solving quadratic equation

Step 1: Factor out the coefficient of the x^2 term.

5(x^2 - 3x/5) = 25

Step 2: Add a number that would complete the square inside the parenthesis and also add this to the other side of the equation.

Take (1/2) of (3/5)

1/2 × 3/5

= 3/10

Square 3/10

We have, 9/100

We have,

5(x^2 - 3x/5 + 9/100) = 25 + 9/100

Step 3: Simplify

x^2 - (3/5)x + 9/100 = 25 + 9/100

5(x^2 - 3x/5 + 9/100) = 5 + 9/20

Step 4:

factor the right side

(x - 3/10)^2 = 509/100

Take both roots

√ (x - 3/10)^2 = √509/100

x - 3/10 = ±√ [509/100]

x = [ 3 ±√509 ] / 10

x= 3+√509/10

Or

x= 3 - √509/10

Answer:

80

Step-by-step explanation:

0,   3,   8,   15,   24,  35,   48,   63,  80 which is the nth term

first step you have to find how many steps the sequence was going with.

examples= from 0 to 3 the steps were 3

                =from 3 to 8 the steps were 5

                = from 8 to 15 the steps were 7

you will recognize that the steps the sequence is going with is odd numbers.

so you will use the odd numbers until you find what you need. which leads you to 80 which is the nth number in the sequence.

Answer:

80

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

First, find two points that fall on the line and are coordinates on the graph.

The two points I found were (3,5) and (10,11).

Use the slope formula to come up with the slope.

[tex]slope = \frac{change in y}{change in x}[/tex]  

slope = [tex]\frac{11-5}{10-3}[/tex] = [tex]\frac{6}{7}[/tex]

Divide total amount used by the amount in the rate:

27,000 / 750 = 36

Multiply that number by the rate:

36 x 1.98 = 71.28

The bill is $71.28

Answer:

Simple division..

divide 5 by 3,678

you'll get answer

0.00135943447

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

      Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[tex]5\ \div \ 3678[/tex]

[tex]= \frac{5}{3678}[/tex] (Decimal: 0.001359)

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

❀*May*❀

Answer:

x = -2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ;)

The value of the function (f+ g)(x) = 0 then x = -2.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Given:

f(x) = x² - 2x and g(x) = 6x + 4

As,  (f+g)(x) = 0

x² - 2x + 6x + 4 = 0

x² + 4x + 4 =0

x² + 2x + 2x + 4 = 0

x(x+2) + 2 (x +2 )= 0

(x + 2)(x+2) = 0

(x+ 2)²= 0

x+ 2= 0

x = -2

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Answer:

B. 6 + √26

Step-by-step explanation:

1. Make a right triangle using the line that goes from office to supermarket.

2. Use pythagorean thereom to find the distance of the longest side.

3. FInd the distance of the line segment going from supermarket to Marias House.

4. Add them together to get 6 + √26.

Answer:

B.

Step-by-step explanation:

1. Make a right triangle using the line that goes from office to supermarket.

2. Use Pythagorean theorem to find the distance of the longest side.

3. Find the distance of the line segment going from supermarket to Maria's House.

4. Add them together to get 6 + √26.

Answer:

Step-by-step explanation:

133

Answer:

-7

Step-by-step explanation:

-1.68j+1.24=13

-1.68j=13-1.24

-1.68j=11.76

j=11.76/-1.68

j=-7

Hi there! Hopefully this helps!

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

Answer: j = -7

You can also rewrite the equation(replace "j" with the answer):

-1.68(-7) + 1.24 = 13.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

How I solved it:

-1.68j + 1.24 = 13.

We subtract 1.24 from both sides.

-1.68j = 13 - 1.24

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

-1.68j = 13 - 1.24

We subtract 1.24 from 13 to get 11.76.

-1.68j = 11.76

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

-1.68j = 11.76

We then divide both sides by -1.68.

j = [tex]\frac{11.76}{-1.68}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~  

Expand [tex]\frac{11.76}{-1.68}[/tex] ≈ -7 by multiplying both the numerator and the denominator by 100.

j = [tex]\frac{1176}{-168}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Divide 1176 by -168 to get -7.

Answer:

(3² - 3) + (0x 2)

Step-by-step explanation

Answer:

132

Step-by-step explanation:

If US bisects the angle then

BUS = SUL

2x+10 = 3x-18

Subtract 2x from each side

2x+10 -2x = 3x-18-2x

10 = x-18

Add 18 to each side

10+18 =x

28 =x

We want to find BUL

BUL = BUS + SUL

      2x+10 + 3x-18

     5x-8

    5*28 -8

   140-8

   132

Answer:

m<BUL=132

Step-by-step explanation:

Since US bisects <BUL, we know that <BUS ≅ <SUL

This is based on the angle bisector definition.

Hence, we can set up an equation to solve for x.

<BUS≅<SUL

2x+10=3x-18

Subtract 10 from both sides

2x+10-10=3x-18-10

2x=3x-28

Subtract 3x from both sides

2x-3x=3x-3x-28

-x=-28

Divide both sides by -1

x=28

m<BUL is the sum of m<BUS and m<SUL

m<BUL=m<BUS+m<SUL

m<BUS=2x+10

m<SUL=3x-18

Plug it in

m<BUL=2x+10+3x-18

Combine like terms

m<BUL=5x-8

Plug in 28 for x

m<BUL=5(28)-8

m<BUL=140-8

m<BUL=132

Answer:

A. 24+24+120+160+200

Step-by-step explanation:

Surface area of the triangular prism= addition of the area of each shape that forms the prism

There are two triangles

Area of a triangle=1/2*base*height

=1/2*8*6

=1/2*48

=24

Area of two triangles=24+24

There are 3 rectangles with different dimensions

Back rectangle=length×width

=20×6

=120

Bottom rectangle=length ×width

=20x8

=160

Top rectangle=length × width

=20×10

=200

Surface area =Area of two triangles + Back rectangle + Bottom rectangle + Top rectangle

=24+24+120+160+200

Step-by-step explanation:

Since the original price is $47.96 and bill rate is 7%, $47.96 × 1.07 ≈ $51.32

Answer:

$51.32

The amount of sales tax for the bill if the rate is 7% will be $3.36.

The quantity of anything is stated as though it were a fraction of a hundred.

Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday.

The cost of the pizza and soft drinks before sales tax and tip was $47.96.

Then the amount of sales tax for the bill if the rate is 7% will be

⇒ $47.96 x 0.07

⇒ $3.36

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Answer:

watch 11:39 . clock is 11:24 .    210m .    1mm .   12 degrees . 3/4hrs .    

Step-by-step explanation:

Step-by-step explanation:

10. It says the watch is 9 minutes fast and the time announced is 11:30 that will be 9 minutes added to the 11:30 which will give 11:39

Now, for the clock , it says the clock is 6 minutes slow, that will be 11:30 - 6 minutes the six minutes will be minused from the 30 minutes which will give 11:24

11. since it is 10 m above the ground and the full length is 220 m which part of is under the ground since we are given the length above the ground in order to find the length of the ground we say 220-10 which will give 210

so the distance of the bottom of the drill from there ground level is 210

12. x + 5

x - 3

to give their difference that will be 5+3 which will be 8

cross check

using 5 to represent x

5+5 =10

5-3 =2

the difference between them is 8 you can use another number to represent x but the difference will still be 8

13. To find the temperature if the frozen meat that will be 34 + 22 degree that gives 56

14. it says she was at the airport 1hr 30 minutes before the appointed time so if the plane was to take off by 9:00 that means she reached there 7:30 then it was 9:00 the plane was late again for 3/4 of hour late so 60 minutes makes up an hour that gives 60×3/4 that gives 45 meaning the plane was late for another 45 minutes how long does she wait that gives 1hr 30 minutes plus 45 minutes convert all to minutes =60 minutes + 30 minutes + 45 minutes which is 135 minutes convert to hour 2 minutes gives 120 seconds so 135-120 =15

so she waited at the airport for 2 hrs 15 minutes

15. since out of the 6400 Dani he paid his debt of 600 and gave it sola who has only 1900

that will be 6400-600 and 1900+600

so sola has 2500 while Dani has 5800

16. she can only pay back 40

B. (not sure)

17. meaning the sister owes 800 naira

b. by 1700+800 =2500

18. that gives 950000-97000 =853000

The decimal 0.1894528 is not a repeating decimal.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The numbers are first in fractions and then divided by the number to give a decimal number.

The given decimal number is “0.1894528. In the decimal number if the numbers are repeating then it is called the repeating decimal number if the numbers are not repeating then it is called a nonrepeating decimal number. Here the given decimal is nonrepeating decimal.

Therefore, the decimal 0.1894528 is not a repeating decimal.

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Answer: Tuesday, July 9 (correct me if I'm wrong)

Step-by-step explanation:

Jen goes every other day, so she goes every odd day.

Terry goes every third day, so Jen and Terry go together every six days.

Six days later is Sunday June 9, then Saturday June 15, then Friday Jun 21, then Thursday June 27, then Wednesday July 3.

Carlos only comes Mondays and Tuesday, so the next six days would be Tuesday July 9.

Answer:

This is a geometric sequence with a common ratio of -4

Step-by-step explanation:

Take the second term and divide by the first term

-4/1 = -4

Take the third term and divide by the second term

16/-4 = -4

Take the fourth term and divide by the third

-64/16 = -4

This is a geometric sequence with a common ratio of -4

Answer:

C. the mean increases more

Step-by-step explanation:

the mean is more affected by outliers because it is an average of all the numbers.

Answer:

C. the mean increases more

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rule for the sequence is

[tex]A(n) = 5. {2}^{x - 1} [/tex]

where x is the number of terms

For the first term

x = 1

That's

[tex]A(1) = 5. {2}^{1 - 1} [/tex]

[tex]A(1) = 5. {2}^{0} [/tex]

A(1) = 5(1)

For the fourth term

x = 4

[tex]A(4) = 5. {2}^{4 - 1} [/tex]

[tex]A(4) = 5. {2}^{3} [/tex]

A(4) = 5(8)

For the eighth term

x = 8

[tex]A(8) = 5. {2}^{8 - 1} [/tex]

[tex]A(8 ) = 5. {2}^{7} [/tex]

A(8) = 5(128)

Hope this helps you

Answer:

The first option.

Step-by-step explanation:

The first term of the sequence would be...

A(1) = -5 * 2^(1 - 1)

= -5 * 2^0

= -5 * 1

= -5

The fourth would be...

A(4) = -5 * 2^(4 - 1)

= -5 * 2^3

= -5 * 8

= -40

The eighth would be...

A(8) = -5 * 2^(8 - 1)

= -5 * 2^7

= -5 * 128

= -640

So, the correct answer is the first option.

Hope this helps!

Answer:

-9x + y = 43

Step-by-step explanation:

We can put the equation into y = mx + b form first, then change it to Ax + By = C

First, we can find the slope by doing rise/run (y2 - y1) / (x2 - x1)

(-2 - 7) / (-5 + 4)

-9/-1 = 9

We can put this into the equation y = mx + b, along with another point, to find b:

y = mx + b

7 = 9(-4) + b

7 = -36 + b

43 = b

Now, we know the equation will be y = 9x + 43, and we can rearrange this:

Subtract 9x from both sides:

-9x + y = 43 will be the equation of the line