please help me with this

Answer:

Please check the explanation.

Step-by-step explanation:

Question 1)

Input, x                            Output, y

0                                       0

1                                         4

2                                        8

3                                       12

It is clear that the values of input 'x' and output 'y' are changing in constant proportions. It means the rate of change must be constant. Thus, this represents a linear function.

Finding the slope between (0, 0) and (1, 2)

slope = m = y₂-y₁ / x₂-x₁

                 = (2-0) / (1-0)

                  = 2 / 1

                  = 2

Thus, the slope = m = 2

We know that the y-intercept can be obtained by setting x = 0 and solving for y.

It is clear at x = 0, y = 0

Thus, the y-intercept b = 0

We know that the slope-intercept form of linear equation

y = mx+b

substitute m = 2 and b = 0

y = 2x + 0

y = 2x

Thus, the equation that describes the equation is:

y = 2x

Question 2)

The output is eleven more than the input.

As 'y' represents the output.

'x' represents the input.

so

y = x+11

Question 3)

The output is the cube of the input.

As 'y' represents the output.

'x' represents the input.

so

y = x³

Question 4)

The output is one more than twice the input.

As 'y' represents the output.

'x' represents the input.

so

y = 2x+1

Question 5)

y = 7x

substitute x = -5

y = 7(-5)

y = -35

Answer:

36.66

Step-by-step explanation:

Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.

Answer:

36.66

Step-by-step explanation:

Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.

Answer:

It was originally sold at roughly $4.887

Step-by-step explanation:

1)  2.20/.45 ≈ 4.8

2) 4.8 x .45 = 2.16

3) 4.88 x .45 = 2.196

4) 4.887 x .45 = 2.19915

The original price of the ice cream is $4.8

Discounting a product means offering it at a lower price than the list price.

Given that, a carton of ice cream sold for $2.20 was on sale for 45% off.

Let the original price of the carton be x.

x*45% = 2.20

x = 2.20*100/45

x = 4.8

Hence, the original price of the ice cream is $4.8

For more references on Discount price, click;

https://brainly.com/question/19867145

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Answer:

1. It is not a fair game.

2. The game is not fair because the probability of winning and the probability of losing are not equal.  In a fair game, the probability of winning is equal to the probability of losing.  In this game, the probability of losing is 0.81 or 81%, while the probability of winning is 19% (100 - 81).

Step-by-step explanation:

Cost of playing the game one time = $3

Total number of bills in the box = 124 (100+20+3+1)

Chance of losing is represented by 100 of $1 bills = 100/124 = 0.81 or 81%

Chances of losing are represented by 20 of $5 bills, 3 of $20 bills, and 1 $100 bill = 0.19 or 19% (20/124 + 3/124 + 1/124).

Answer:

I really dont know

Step-by-step explanation:

Answer:

step below

Step-by-step explanation:

1. (0,9) (9,0) or (7,2) or (1,8)

2. m = rise/run = (0-9) / (9-0) = -1

3. y = mx + b   for point (9,0)

y intercept ( b) = y - mx = 0 - (-1)*9 = 9

4. equation for trend line: y = -x + 9

check use (7,2): 2 = -7 + 9

Step-by-step explanation:

Take John's sister's age as "x"

So, so twice his sister's age means = 2x

And 5 years more, means = 2x + 5

So finally John's age = 2x + 5

Answer:

y=2x+5

Step-by-step explanation:

Answer:

hii, ok so (3, 2)

Step-by-step explanation:

Just imagine the dot at (3, -4). Now just go up 6 units.  **i added a picture, its kinda junky, sorry**

Answer:

1. y= 2/5x+11

2. y=3x-15

2y-5x=9

Step-by-step explanation:

I did this already

Hey there!

The correct answer is adjacent.

The exact definition in the Oxford dictionary is "next to or adjoining something else."

Hope it helps and have a great day!

P.S. A picture of adjacent angles is below, you can see they are adjacent because they are connected.

Answer:

y =4(x-3)^2+2 => y=4x^2-24x+38

y=2(x-3)^2+4 => y=2x^2-12x+22

y=2(x+3)^2+4 => y= 2x^2+12x+22

Y= 4(x+3)^2+2 => y= 4x^2+24x+38

Step-by-step explanation:

Given :

When Colby was born, his parents invested $1,000 in a fund that paid an

annual interest of 8%.

To Find :

How old will Colby be when the investment is worth  at least $4,000 .

Solution :

Let, time taken is x years.

So, the formula is :

[tex]P = A_o + \dfrac{A_o \times r\times t}{100}\\\\4000 = 1000 + \dfrac{1000\times 8\times t}{100} \\\\80t = 3000\\\\t = \dfrac{3000}{80} \ years\\\\t = 37.5\ years[/tex]

Therefore, Colby will be 37.5 years old.

The age of Colby will be [tex]37.5[/tex] years.

The amount after t years is given by,

                            [tex]A=P+(\frac{P*r*t}{100} )[/tex]

Where P is principal, r is rate and t is time in years.

Given that, [tex]A=4000,P=1000,r=8\%[/tex]

Substitute values in above equations.

                    [tex]4000=1000+\frac{1000*8*t}{100} \\\\\frac{1000*8*t}{100}=3000\\\\t=37.5years[/tex]

Learn more about the investment here:

https://brainly.com/question/25300925

Answer:

Step-by-step explanation:

think of this as a system of equations where the colors just represent a variable like x or y

I'll just arbitrarily set colors to some variable letter so we have

purple = x

green =y

blue =z

red = a

yellow = b

so we can now rewrite the 4 known equations of the system :)

Eq. 1)  x+y = 13

Eq. 2) 2y+2z=18

Eq. 3) 2x+3y=31

Eq. 4) z + 4a = 12

Eq. 5) a * y = b

so solve the 1st eq for y   =>  y =13-x    then plug that into the 3rd eq and slove for x =>  2x + 3(13-x) =31

2x + 39 -3x = 31

2x-3x = 31 - 39

-x = -8

x=8

plug 8 into Eq. 1 for x and solve for y

8+y = 13

y=5

plug y into Eq 1 and solve for z

2(5) +2z = 18

10 +2z = 18

2z = 8

z = 4

plug z into E1 4 and solve for a

4 + 4a = 12

4a = 8

a = 2

plug a and y into Eq 5 and solve b

2 * 5 = b

10=b

go to the drawing and plug in each of the color values that we put as variable letters above and get an A+ on your homework..  :)

Answer:

1. (-1)(x^2+x-6)

2. (-1)(x+3)(x-2)

Step-by-step explanation:

Factoring

It's given the trinomial

[tex]-x^2-x+6[/tex]

1. There is no common factor (given).

2. Factor out -1:

Each term is divided by -1:

[tex]\mathbf{(-1)(x^2+x-6)}[/tex]

3. Now we factor the remaining trinomial. We find two numbers whose sum is 1 and the product is -6. These are 3 and -2, thus the trinomial is:

(-1)(x+3)(x-2)

Answer:

3/8 of a pizza

Answer:

measure is the angle right- if so it's 76 each

180-28=152

152÷2=76

Answer:

I think this would be 2n+3

Step-by-step explanation:

I learned this in class and I think that since you Gerry has twice the number of CDs (n) + 3, it would be 2n+3. I'm in middle school though, so I don't know if in highschool there's another step, but I hope this helps! :)

Answer:

im here for the points

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

under 5 round down, 5 and up round up

Answer:

166

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:

percentage of sample proportion = 76%

sample size = 100

Given that the sample proportion estimate is unbaised of the population proportion, then the percentage of all American movie-goers who think popcorn is overpriced is = 76%. Also, the mean of the sampling distribution appears to be independent of the sample size. Then, the estimate of the percentage will equally remain the same regardless it is even a sample of size 10000.

Answer:

y = [tex]-\frac{1}{6}[/tex] x - 2

Step-by-step explanation:

Slopes of perpendicular lines are opposite reciprocals.

If AB ⊥ CD , then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

~~~~~~~~~~~

6x - y = 7 ⇔ y = 6x - 7

Slope of given line is 6

Slope of a perpendicular line is [tex]-\frac{1}{6}[/tex]

( - 6, - 1 )

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

y = [tex]-\frac{1}{6}[/tex] x - 2

Answer:

A.5

B.16

C.11

D.3

E.5

Step-by-step explanation:

Answer:

Slope = [tex] \frac{4}{3} [/tex]

Y-intercept = 5

Answer:

A - ASA

B - ASA

C - SAS

D - SSS

Step-by-step explanation:

I hope this helps you out!

Answer:

(D).

Step-by-step explanation:

[tex]A_{b}[/tex] = A + [tex]A_{s}[/tex]

(A). 12 + 16 > 20

(B). 10 + 18 < 30

(C). 4 + 5 < 12

(D). 8 + 16 = 24