Use point-slope form to write a linear equation to represent the growth of Claire over time. Then, simplify the equation and write it in slope-intercept form. Identify the y-intercept. Show your work.

Answers

Answer 1

Complete Question:

The growth of baby girl Claire is displayed in the graph below. (4, 22) (14, 30)

Answer:

Point Slope: [tex]y - 22 = 0.8(x - 4)[/tex]

Slope Intercept: [tex]y = 0.8x +18.8[/tex]

y intercept: [tex]b = 18.8[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (4,22)[/tex]

[tex](x_2,y_2) = (14,30)[/tex]

Solving (a) Point slope

Using point slope form, an equation is of the form

[tex](y_2 - y_1) = m(x_2 - x_1)[/tex]

First, we need to solve for slope (m):

Make m the subject

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substitute values for x and y

[tex]m = \frac{30 - 22}{14 - 4}[/tex]

[tex]m = \frac{8}{10}[/tex]

[tex]m = 0.8[/tex]

Next, we form a linear relationship

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

Where

[tex]m = 0.8[/tex] and [tex](x_1,y_1) = (4,22)[/tex]

[tex]y - 22 = 0.8(x - 4)[/tex]

Solving (b): Slope Intercept

[tex]y - 22 = 0.8(x - 4)[/tex]

Open Bracket

[tex]y - 22 = 0.8x - 3.2[/tex]

Add 22 to both sides

[tex]y - 22 +22= 0.8x - 3.2 + 22[/tex]

[tex]y = 0.8x +18.8[/tex]

Solving (c): The y intercept

The general form of an equation is:

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

Where b represents the y intercept

By comparison with [tex]y = 0.8x +18.8[/tex]

[tex]b = 18.8[/tex]

Answer 2

Answer:

34 x 6.45 because if you look at the numbers then u will find this


Related Questions

what is 1/7a+1/7 factored

Answers

Answer: a/7 + 1/7

Step-by-step explanation:

(a+1)/7 is the value of 1/7a+1/7

What is Fraction?

A fraction represents a part of a whole.

The given expression is 1/7a+1/7

One by seven times of a plus one by seven.

We can write this as a by seven plus one by seven as a is multiplied to the numerator.

a/7+1/7

Take seven as the LCM

(a+1)/7

Hence (a+1)/7 is the value of 1/7a+1/7

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

Please I need answers!!!!

Answers

C is your answer.....

Answer:

A. 90 + 13 + x = 180

Step-by-step explanation:

PMW is a straight line and it is made up of the 3 angles, TMW (13), RMT (90), and PMR (x), thus 90 + 13 + x = 180. To find x, you can just take 180 and minus the remaining angles (90 + 13) off it.

Find the slope of the line that passes through the points (5.2) and (3,7).

PLEASE HELP. ILL CASH-APP SOMEONE $35 if they answer this!!

Answers

Slope: -2.5

Work: I gather the two points on the line (Which was 5,2 and 3,7) and I used the slope equation. (Slope Equation is y2 - y1 / x2 - x1) After that, I got -5/2, and I divided it, and I got -2.5

PS: I don't need the $35, I'm just glad I can help you.

Answer:

The slope of the line going through those points, is −50

Step-by-step explanation:

Meaning the slope is going horizontal completely.

PLEASE ANSWER SOON! ILL GIVE BRAINLY FOR FIRST AND CORRECT ANSWER

Answers

Answer:

The answer is A

Find the constant rate of change for each graph

Answers

Answer:

so far of what i think it is. is that x axis is 5 ans the y axis is 18 if i am wrong sorry =>

Step-by-step explanation:

btw is this really high school math

please hurry ! determine whether these two triangles are similar, and if so what is the ratio of their sides?

Answers

No. Those triangles are not similar

Which expression is equivalent to this expression?

34(4h – 6)

Answers

Answer:

136h - 204

Step-by-step explanation:

1. Use GRAPHING to solve the systems of equations below. *
py = +1
= -2x + 1
y=x+1

A (0:1)
B(-1,0)
C(1,0)
D(0,1)

Answers

Answer:

it is A & D

Step-by-step explanation:

PLEASE HELP ME IS DUE TMR

a trader earns a profit of $6,000 in 1988 and a profit of $8,000 more than double that amounts in 2003. write and expression that represents this situation and find the profit for 2003

Answers

Answer:

p = 8000 + 2(6000)

20000

Step-by-step explanation:

Given that:

Profit in 1988 = 6000

Profit in 2003 = 8000 more Than double the profit made in 1998

Hence profit in 2003 (p) can be expressed as :

p = 8000 + 2(6000)

Hence profit in 2003

p = 8000 + 12000

p = 20,000

Busby County is rectangular. A map of the county on a coordinate plane shows the vertices of the county at (5, 8), (8, 8),(8,10),and (5,10). What if the coordinates were A(−2, 5), B(5, 5),C(5,−9),and D(−2,−9)? What would the perimeter of the county be?

Answers

Answer:

The answer is below

Step-by-step explanation:

Distance between two points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)\ on \ the\ coordinate\ plane[/tex]

[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The perimeter of rectangle = 2(length + breadth)

If the vertices are at (5, 8), (8, 8),(8,10),and (5,10), then:

[tex]length=\sqrt{(8-5)^2+(8-8)^2} =3\\\\breadth=\sqrt{(8-8)^2+(10-8)^2} =2[/tex]

The perimeter of the county would be = 2(length + breadth) = 2(3 + 2) = 10 unit

If the vertices are at A(−2, 5), B(5, 5),C(5,−9),and D(−2,−9), then:

[tex]breadth=|AB|=\sqrt{(5-(-2))^2+(5-5)^2} =7\\\\lenght=|BC|=\sqrt{(5-5)^2+(-9-5)^2} =14[/tex]

The perimeter of the county would be = 2(length + breadth) = 2(7 + 14) = 42 unit

Does anyone know the answer?

Answers

Answer:

c.

hope it helps.............

I pretty sure it C hope this helps

A space ship travels at 26 miles per hour and traveled continuously for 220 hours.
Enter the answer, in the form of xy, that represents how many miles the space ship traveled.

Answers

Answer:

The ship traveled 5720 miles

Step-by-step explanation:

You multiply the miles by the hour and you get the amount of miles per hour.

can someone help me real quick

it costs $4 to enter the fair. each ride costs $2.50. you have $21.50. how many rides can you go on?

(P.S. can you right the equation/ inequality, please)

Answers

Hello!

Equation: y = 2.50x + 47 rides.

We can write an expression to show this scenario. Write this in the equation format y = mx + b:

m = rate of change, or cost per ride

b = initial cost, or cost to enter the fair

y = 2.50x + 4

Solve for the amount of rides possible with $21.50:

21.50 = 2.50x + 4

Subtract 4 from both sides to isolate x:

17.50 = 2.50x

Divide both sides by 2.50:

17.50/2.50 = 7 rides.

Write an equation in slope-intercept form of the line that passes through (−5, 19) and (5, 13).

Answers

y = -3/5x + 16 hope this helps

Answer:

-3/5x+16

Step-by-step explanation:

Johnny Appleseed told me

Hypotenuse of 9 and 12

Answers

“15 feet” is your answer!


Determine the slope of the line that passes through (2, 2) and (5,8)

Answers

Answer:

5,2

Step-by-step explanation:

1. As the value of x increases, the value of f(x) (increases or decreases)?

2.The x-intercept is the point?

Answers

Answer:

the first one is just asking if x increases, does the line go up to down if you look from the graph? The y, or f(X) values will increase as X increases. X intercept means when does the line touched the X axis? From the graph the line touches it at (-3,0)

what is 3.73/33.46? the question is jose bought a magazine for 3.73 and some light bulbs for 4.78. he spent a total of 37.19. how much lightbulbs did he buy?

Answers

Answer:

He bought 7 lightbulbs.

Step-by-step explanation:

37.19 - 3.73 = 33.46

33.46/4.78=7

Pedro's check register showed a balance of $550.94. His bank statement listed three items that did not appear in his register: earned interest of $4.36, a service charge of $5.50, anD an ATM withdrawal of $150. Reconcile Pedro's check register.​

Answers

Answer:

Bob knows the amount of money in his account.

He avoids overdrawing the account.

He keeps track of where his money goes (budget).

He can spot any bank errors.

Step-by-step explanation:

Ben bought a digital camera for $90 the tax rate is 6% which proportion can be used to find the amount of tax ben will pay​

Answers

Answer:

x/90=6/100

Hope this helps :)

If the parents of your mom and dad are
your lolos and lolas of the first degree, and
the parents of your lolos and lolas are your
lolos and lolas of the second degree, and so
on, how many lolos and lolas do you have up
until the 6th degree?​

Answers

is this a serious question?

Janka si vložila 3200 eur na termínovaný účet s 1,2 úrokovou mierov koľko bude mať po 1 roku

Answers

Answer:

the present value is 3,162 euros

Step-by-step explanation:

The computation of the present value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

3,200 euros = Present value × (1 + 0.012)^1

3,200 euros =  Present value × 1.012^1

Present value is

= 3,200 euros ÷ 1.012

= 3,162 euros

Hence, the present value is 3,162 euros

Solve solving systems using substitution.

Answers

Answer:

your answer would be D

Step-by-step explanation:

Substitute the x= 3y-1 in place of the x in the second equation

Subtract Like terms

Add 3 to both sides

Divide by 3(the coeffcient of y)

Answer is 5


Please help! I’ll give brainliest to whoever gets it right!

Answers

Answer:

3.62

Step-by-step explanation:

I am big brain and very smort

Answer:

362/ 100 or 3 62/100

Step-by-step explanation:

A television channel shows 3 minutes of adverts in each half hour. How many minutes of adverts does it show from 8am to 11pm

Answers

Answer:

90 minutes

Step-by-step explanation:

Given that:

Duration of advert shown per half hour = 3 minutes

3 minutes per 30 minutes = 3 / 30

Number of minutes from 8am to 11pm = 15 hours = (15 * 60) = 900 minutes

3minutes per 30 minutes = x per 900 minutes

3/30 = x / 900

Croas multiply :

30x = 900 * 3

30x = 2700

x = 2700/30

x = 90

Hence, 90 minutes of advert between 8am to 11pm

Please solve!!
Will name Brainliest!

Answers

Answer:

See screenshot for graph and points - This is not a function because it fails the vertical line test.

Step-by-step explanation:

The vertical line test means that if you can draw a vertical line anywhere on the graph and it hits more than one part of the graph, then it isn't a function.

9. Byron wants to use the distributive property to rewrite the addition problem below
(48 + 36)
Select ALL expressions that are equivalent to the addition problem?
A. 4(12 +9)
B. 2(24 + 18)
C. 12(4 + 3)
D. 36(12 th1)

Answers

The correct answers are A,B,and c

Given g(x) = 6x + 4x - 9, what is the value of g(3)?
o7
o 21
o 39
o 25

Answers

The answer is 21!! pls mark brainliest

LOTS OF POINTS PLUS BRINAISTTTTTTTTTTTTTTTTTTTTTTTTT :) :))))))))))))))))))))))))))))))))))))))))))))))

Which of these expressions have negative values? Select all that apply.
2 + 2(-3)(7)
-2(27 ÷ 9)+4
(14 ÷ -2)(-6)
(4 - 10) - ( 8 ÷ ( -2))

HELP!

Answers

Answer:

1. 2. 4. all have negative answers

Step-by-step explanation:

2 + 2(-3)(7)= -40

-2(27 ÷ 9)+4= -2

(4 - 10) - ( 8 ÷ ( -2))= -2

Hope this helped!

Sam goes out to dinner and his original bill is $50.20, which of the options below is the better deal? How do the prices compare?

Answers

Answer:

whats the other option mate

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