The domain of both f(x) = x-6 and g(x) = x+6 is all real numbers. What is the domain of h(x)= f(x)/g(x) ?

Answer:

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

Step-by-step explanation:

Required

Equation of line

passes through [tex](6,2)[/tex]

In an equation of the form [tex]y =mx + b[/tex]; the slope is [tex]m[/tex]

So, by comparison;

The slope of [tex]y = 3x + 1[/tex] is: [tex]m =3[/tex]

From the question, we understand that the required equation is perpendicular to [tex]y = 3x + 1[/tex]

This means that its slope is:

[tex]m_2 =-\frac{1}{m}[/tex]

So, we have:

[tex]m_2 =-\frac{1}{3}[/tex]

The line equation is:

[tex]y = m_2(x - x_1) + y_1[/tex]

Where:

[tex](x_1,y_1) = (6,2)[/tex]

So, we have:

[tex]y = -\frac{1}{3}(x - 6) + 2[/tex]

[tex]y = -\frac{1}{3}x + 2 + 2[/tex]

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

Answer:

A = 0.25*j + 1

Step-by-step explanation:

The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.

Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling  j cups of orange juice.

The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.

The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;

A = 0.25*j + 1

Hope this helped.....

Answer:

5 points huh thats mean

Step-by-step explanation:

9514 1404 393

Answer:

  B.

Step-by-step explanation:

Use t=0 and t=2 and locate the graph with those two points on it. (We choose these because the horizontal grid is 2 years for each grid line.)

For t=0, C(0) = 50000(0.9^0) -2000 = 480000

For t=2, C(2) = 50000(0.9^2) -2000 = 40500 -2000 = 38500

The only graph that has y-intercept of 48000 and crosses (2, 38500) is the one shown in choice B.

Answer:

5:33 am

Step-by-step explanation:

You need to be at the airport at 7:30

Subtract 30 minutes for travel

7:30 -30 = 7:00

You need 1 hour and 27 minutes to get ready

Subtract 1 hour

7-1 =6:00 am

Subtract 27 minutes

6:00 am - 27 minutes

5: 60 - 27   ( Remember there are 60 minutes in 1 hour)

5:33 am

You need to get up at 5:33 am

Check

5:33 plus 1 hr 27 minutes = 7:00 am + 30 minutes travel = 7:30 am

Answer:

[tex]P(Good\ and\ Bad) = 12/49[/tex]

Step-by-step explanation:

Give

[tex]Good = 4[/tex]

[tex]Bad = 3[/tex]

Required

[tex]P(Good\ and\ Bad)[/tex]

This is calculated as:

[tex]P(Good\ and\ Bad) = P(Good) * P(Bad)[/tex]

So, we have:

[tex]P(Good\ and\ Bad) = n(Good)/Total * n(Bad)/Total[/tex]

[tex]P(Good\ and\ Bad) = 4/7 * 3/7[/tex]

[tex]P(Good\ and\ Bad) = 12/49[/tex]

Answer: 7290

Step-by-step explanation:

Three times is asking you to multiply the points before them by three. Level one, as we know is 10. Then, to get level two's points, you would multiply 10 by 3, to get 30, & so on.

Level One:10

Level Two: 10x3=30

Level Three: 30x3=90

Level Four: 90x3=270

Level Five: 270x3=810

Level Six: 810x3=2430

Level Seven: 2430x3= 7290

*** If you are still confused, comment on this question, & I will be happy to walk you through the whole question. ***

Answer:

7290 :)

Step-by-step explanation:

Took the quiz.

Answer:

30

Step-by-step explanation:

Answer: go on mathaway!!!

Step-by-step explanation:

This dosent really help with ur question but mathaway is free and got me through math

Answer:

ASA

Step-by-step explanation:

The two small angles which are the base angles of the small triangle in the middle are marked as equal.

The two large angles of the two triangles are also marked as conguent.

The base of the small triangle in the middle is common to both the larger triangles by the reflexive property (a line is always equal to itself). The line is between two sets of congruent angles. Therefore the two large triangles are congruent by ASA

Explanation:

It might help to peel the triangles apart as I have done so below.

We have two pairs of congruent angles, as shown by the distinct angle markers. Between the congruent angles, we have a pair of congruent sides.

The side (S) is between the angles (A), which is why we use ASA.

Note: SAA is slightly different where the congruent sides are not between the congruent angles.

Answer:

4.) A = 1/2 bh

1/2 x 3 x 6

= 9in

Let's start by writing the equation of a circle.

The center of the circle is (h, k), and the radius, r, is 4 so

we can simply plug these values into the formula.

So we have [(x) - (2)]² + [(y) - (-4)]² =  (7)².

Notice that I changed the parenthses that were in the original formula

to brackets so that we wouldn't have too many sets of parenthses

when plugging our values into the formula.

Finally, we simplify inside the brackets.

So we have (x - 2)² + (y + 4)² = 49.

Now, I changed the brackets back to parenthses in the final answer.

Answer: y=x

Step-by-step explanation:

Answer:

$5900

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Simple Interest Rate Formula: A = P(1 + rt)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 5000

r = 3% = 0.03

t = 6

Step 2: Find Interest

Answer:

x = 12

Step-by-step explanation:

The sides are congruent

5x - 17 = 3x + 7

Subtract 3x from both sides

2x - 17 = 7

Add 17 to both sides

2x = 24

Divide both sides by 2

x = 12

Answer:

X=0.8

Step-by-step explanation:

First collect all the light terms '7' and '17' '-17+7=-10'

And '3x' and' 5x' '3x+5x=8x'

So if you put this as an equation you will have '8x=-10'

Next you do 8 divided -10

Then you get 0.8

Answer: 6 fewer than a number

Answer:

I. k = -8

II. y = -96

Step-by-step explanation:

Given the mathematical expression and data;

y = 24

x = -3

y = kx (y varies directly as x).

To find the constant of proportionality k;

y = kx

Substituting the values into the expression, we have;

24 = k(-3)

24 = -3k

k = -24/3

k = -8

Next, to find the value of y when x = 12

y = kx

Substituting the values, we have;

y = -8 * 12

y = -96

Answer:

x = (17 - 5y)/2

y = (17 - 2x)/5

Step-by-step explanation:

nothing else can be done here.

if you are looking for actual numbers as solution, then you have forgotten to put something important here.

to solve a system with 2 variables we need 2 equations. it cannot be solved with only 1 equation.

Answer:

B.I (x) and h (x) are inverse function

B

Answer:

each number you pick has a 1 in 25 chance

this equates to a 4% chance of winning for each individual ball

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{y = 4x - 1}[/tex]

[tex]\large\text{If x= -3, then substitute it into the given equation}[/tex]

[tex]\large\textsf{y = 4(-3) - 1}[/tex]

[tex]\large\textsf{4(-3) = \boxed{\bf -12}}[/tex]

[tex]\large\textsf{y = -12 - 1}[/tex]

[tex]\large\textsf{-12 - 1 = y}[/tex]

[tex]\large\textsf{-12 - 1 = \boxed{\bf -13}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -13}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex] \quad \quad \quad \quad\tt{y = 4x - 1}[/tex]

[tex] \quad \quad \quad \quad\tt{y = 4( - 3) - 1}[/tex]

[tex] \quad \quad \quad \quad\tt{y = (- 12)- 1}[/tex]

[tex] \quad \quad \quad \quad\tt{y = - 13}[/tex]

[tex] \quad \quad \quad \quad \boxed{\tt \color{green}{y = - 13}}[/tex]

______

#LetsStudy

Answer:

x<6

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

[tex] \displaystyle d) 36 \: {in}^{2} [/tex]

Step-by-step explanation:

the polygon can be separated in two parts

let's figure out the area of the rectangle

recall that,

given that,

thus substitute:

simplify multiplication:

let's figure out the area of the triangle

remember that,

[tex] \displaystyle A_{ \rm triangle} = \frac{1}{2} \times b\times h[/tex]

substitute the value of b and h:

[tex] \displaystyle A_{ \rm triangle} = \frac{1}{2} \times 9\times 2[/tex]

reduce fraction:

[tex] \displaystyle A_{ \rm triangle} = 9[/tex]

now the area of the polygon would be the total area of the rectangle and triangle thus

[tex] \displaystyle A_{ \rm polygon} = 27 + 9[/tex]

simplify addition:

[tex] \displaystyle A_{ \rm polygon} = 36[/tex]

hence our answer is D)

Answer:

C

Step-by-step explanation:

Your welcome! :) Good luck!

Answer:

-420

Step-by-step explanation:

let the two consecutive integers be

x and (x + 1)

The product of two consecutive integers is 420

x(x + 1) = 420

Distribute

x² + x = 420

Subtract 420 from both sides

x² + x - 420 = 0

The constant is

-420

Answer:

2

Step-by-step explanation:

14·[tex]\frac{1}{7}[/tex]=2

Answer:

2

Step-by-step explanation: 1/7th's of 14 is 2.

1/7 x 14 = 2.

Answer:

4/5 is ur answer

Step-by-step explanation:

ok just like the last one but this one is COS

ok so we know that COS is A/H

A= adjacent and ofc H= hypotenuse

so lets see its the COS of a which means it will be A/H

A= 4 and the H=5

Answer:

$1.37 (1.368333)

Step-by-step explanation:

6 divided by 8.21

Answer:

area = 2.3 x 2.8

area is 6.44 meters

Step-by-step explanation:

area is length multiplied by width