Henry's potato vine is growing like crazy! When he planted it, it was 2 inches long. Two weeks later it was 5 inches long. At 6 weeks, it was 11 inches long.

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Required:

Write an equation to represent this  situation

Let x represents the number of weeks and y represents the growth.

When he planted it:

[tex](x_1,y_1) = (0,2)[/tex]

Two weeks later:

[tex](x_2,y_2) = (2,5)[/tex]

At 6 weeks:

[tex](x_3,y_3) = (6,11)[/tex]

Start by calculating the slope (m)

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

[tex]m = \frac{5-2}{2-0}[/tex]

[tex]m = \frac{3}{2}[/tex]

Then calculate the equation using:

[tex]y - y_3 = m(x - x_3)[/tex]

[tex]y - 11 = \frac{3}{2}(x - 6)[/tex]

[tex]y - 11 = \frac{3}{2}x - 9[/tex]

Solve for y

[tex]y = \frac{3}{2}x - 9+11[/tex]

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


Related Questions

Which expression is equivalent to -8x^6/ 4x^-3

Answers

Answer:

Step-by-step explanation:

It’s 4x^3+(x2)(x-4)b.-4(x^3-2)+x...

Urgent please help!!

Answers

Answer:

Step-by-step explanation:

- (3/4)

ANSWER: -3/4


Steps:

Use the points (0,4) and (8,-2)

Do y-y/x-x

Replace the x and y in the formula

-2-4/8-0

= -6/8 then simplify

= -3/4

Write the slope-intercept form of the line that passes through the given point with the slope m. Through (3, 5) , m = -3/8

Answers

Answer:

I think this is my best solution for your question

Please help me I’m not good at math ❤️

Answers

0.78= 78%

13/20=0.65

7/25=28%

17/50=34%

The price p of pizza is $7.25 plus $0.70 for each t topping on the pizza write a function rule that represents the situation

Answers

The answer is

p=7.25+0.70t

Help me please I’d really appreciate it right now .

Answers

Answer:

sales tax is $0.6

total cost is $20.60

Step-by-step explanation:

20*0.03=0.6

20*1.03=20.6

HELP ME WITH MATH HOMEWORK

Answers

Step-by-step explanation:

Only option B shows a proportional relationship (y = 3x).

Answer:

D

Step-by-step explanation:

Y=3x-1 is written as the slope-intercept form y=mx+b don't let the -1 confuse you.

- ( x - 10 )² = -121 solve by using the square root property

Answers

Answer:

You would get 789BX

Step-by-step explanation:

Use a calculator

Answer:

x = 21, -1

Step-by-step explanation:

i used a math w a y

3^4/3^2 xczczcxcxcxcxcxcxc

Answers

Answer:

oop xc

Step-by-step explanation:

You can simplify fractions between powers of the same base as follows:

[tex]\dfrac{a^x}{a^y}=a^{x-y}[/tex]

So, in your case, you have

[tex]\dfrac{3^4}{3^2}=3^{4-2}=3^2=9[/tex]

Sorry if it's a bad picture I just need help asap​

Answers

Answer:

y=9

Step-by-step explanation:

they grow together by the same amount

Answer:

27/2...or 13.5 as a decimal

Step-by-step explanation:

the ratio of y and x is y/x or, 9/2 with 9 being the y and 2 being the x

the X changed to 3, so y/3 is the new ratio. Since we have another ratio, we can compare them to get the y

the equation : 9/2=y/3--2x=27--

x=27/2

What is the slope of this line?

Enter your answer as a whole or a fraction in simplest form.

Answers

Answer:

Step-by-step explanation:

(-2,0) (0, -2) = (-2 - 0)/(0 + 2) = -2/2= -1

y - 0 = -1(x + 2)

y = -x - 2

slope is -1

Jennifer claims that her bank account is growing at a greater rate of change than William’s bank account. Determine if Jennifer is correct and justify your reasoning.

Answers

Answer:

Jennifer is wrong

Step-by-step explanation:

Jennifer's bank account is growing at a rate of change 10 as per the given function

William’s bank account is growing at a rate of change 14 as per the table

Jennifer is wrong because 10 < 14

f(n) = n^3– 2n
g(n)= 2n + 2
Find (f •g)(n)

Answers

Answer:

[tex]\boxed{(f~.~g)(x) = 2n^4 + 2n^3 - 4n^2 -4n}[/tex]

.

Step-by-step explanation:

We know that

[tex]f(n) = n^3 - 2n[/tex]

[tex]g(n) = 2n + 2[/tex]

.

So

[tex](f~.~g)(x) = f(n)~.~g(n)[/tex]

[tex](f~.~g)(x) = (n^3-2n)(2n + 2)[/tex]

[tex](f~.~g)(x) = n^3(2n + 2) - 2n(2n + 2)[/tex]

[tex](f~.~g)(x) = 2n^4 + 2n^3 - 4n^2 -4n[/tex]

Answer:

2jj2j wnqj qkwk abaia aow w wka a9w wjw a8uaaia sks sis s8siwobsisi shkahza a

Step-by-step explanation:

bs ak la ya s dyua youa au ab fusn aigska

EEEEeee Can someone help?

Answers

Answer:

5.61 billion dollars.

Step-by-step explanation:

4.61+1.03=5.61

Answer:

0.223

Step-by-step explanation:

Change the divisor 4.61 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

103 ÷ 461 = 0.223

and therefore:

1.03 ÷ 4.61 = 0.223

Both calculated to 3 decimal places.

PLEASE HELP!!!! PRQ = ?

Answers

PRQ=VXW

I think! I hope this helps!

What is the price for the amount of fuel that Roselyn will use for the entire drive?

Answers

Answer:

$15

Step-by-step explanation:

Total distance to be covered = 150km

Fuel efficiency = 6 km per l

150 / 6 = 25

Total fuel cost needed (including existing fuel) = Fuel needed x cost per l fuel

= 25 x 0.6

= 15

Find the solution for the system of linear equations by substitution:
y = x
y = 2x − 4

Answers

Answer:

Asi takhle

..........

The area of a square can be represented by the expression x10. Which monomial represents a side of the square? x2 x5 x20 x100

Answers

The side of the square is [tex]x^5[/tex].

Area of square

area of a square = (side)² = a²,

Exponent properties[tex](a^m)^n = a^{m+n}[/tex][tex](\sqrt a)^n = a^{(-2+n)}[/tex]

Given to us

area of a square = [tex]x^{10}[/tex]

Side of the Square

Equating it with the general formula of square

[tex]\rm {Area\ of\ square}={Area\ of\ square}[/tex]

[tex]x^{10} = a^2[/tex]

Taking square root on both sides,

[tex]\sqrt{x^{10}} = \sqrt{a^2}\\\\a=\sqrt{x^{10}}[/tex]

[tex]a = x^5[/tex]

Hence, the side of the square is [tex]x^5[/tex].

Learn more about the Area of square:

https://brainly.com/question/1658516

The monomial which represents a side of the square is; x⁵

Area of a square

The area of a square is a 2-dimensional quantity and can be evaluated by the formula;

Area = l².

Hence, the length of the sides of the square is;

l = √A.

According to the question, the given area is x¹⁰.

Therefore, the length of each side is;

l = √x¹⁰ = (x¹⁰)^1/2

l = x⁵.

Read more on area of a square;

https://brainly.com/question/16758129

Find the common difference for the sequence shown.



56, 49, 42, 35, ...

Answers

Answer:

7

Step-by-step explanation:

7 I think ..........

What is the equation of the line that has a slope of -4 and goes through (-1,6)? O A. y+ 6 = -4(x + 1) OB. y+6= -4(x - 1) OC. y-6 = -4(x + 1) OD.y-6 = -4(x - 1)​

Answers

Answer:

hi I dont now is this will help you but use M A T H W A Y it will give you the step b step info and the answere

Hope it help

Step-by-step explanation:

Find the area of the red triangle.
Also explain.

Answers

Answer:

The answer is 9

Step-by-step explanation:

So In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, add 79 and 10 and subsequently subtracting 72 and 8 to get 9.

Answer:u

Step-by-step explanation:

Sam and liam raced each other up and down the hill. Sam's avrage speed up hill was 1 mph, and his avrage speed down hill is 9 mph. Liam ran up and down the hill with the same speed 2 mph.If the path from the bottom of the hill is 1 mile long, how much time did it take the boys to finish-and who is the winner?

Answers

Answer:

a. i. 1.11 h ii. 1 h. b. Liam

Step-by-step explanation:

a.

i. Sam's time

We know distance d = vt where v = speed and t = time.

Since our distance here is the length of the path, d = 1 mile.

For Sam, his speed up the hill is v = 1 mph, so, the time it takes him to go uphill is t = d/v = 1 mi/1 mph = 1 h.

He goes down hill at a speed of v = 9 mph, so the time it takes him to go down hill is t = d/v = 1 mi/9 mph = 1/9 h = 0.11 h

So, the total time it takes him to complete the trip is t = 1 h + 0.11 h = 1.11 h

ii. Liam's time

For Liam, his speed both uphill and downhill is v = 2 mph, so, the time it takes to cover each trip is t = d/v = 1 mi/2 mph = 0.5 h.

So for both uphill and downhill trip, the total time is t' = 2 × 0.5 h = 1 h

b. Since Liam's time t' = 1 h < Sam's time t = 1.11 h, that is t' = 1h < t = 1.11 h, Liam is the winner.

2/3 a -1/6=1/3
Solve the equation

Answers

Step-by-step explanation:

a=3/4

In △ABC, AB = 13.2m, BC = 6.9m and ∠ACB = 90°. H lies on AC such that ∠BHC = 46°. Find (i) ∠ABH (ii) The length of AH

Answers

Answer:

(i) ∠ABH = 14.46⁰

(ii) The length of AH = 4.6 m

Step-by-step explanation:

From the image uploaded;

Consider △ABC;

the length of b is calculated by applying Pythagoras theorem as follows;

b² = c² - a²

b² = (13.2)² - (6.9)²

b² = 126.63

b = √126.63

b = 11.25 m

Also, ∠ABC is calculated as;

[tex]Cos \ B = \frac{a^2+c^2-b^2}{2ac} \\\\Cos \ B = \frac{(6.9)^2+(13.2)^2-(11.25)^2}{2(6.9 \times13.2)}\\\\ Cos \ B = \frac{95.288}{182.16} \\\\ Cos \ B = 0.5219 \\\\B = Cos ^{-1} (0.5231)\\\\B = 58.46 ^o[/tex]

Consider △CBH, ∠CBH is calculated as;

∠CBH = 90⁰ - 46⁰ = 44⁰

(i) ∠ABH will be calculated as;

∠ABH = θ

θ + 44⁰ = ∠ABC

θ + 44⁰ = 58.46⁰

θ = 58.46⁰  - 44⁰

θ = 14.46⁰

Thus, ∠ABH = 14.46⁰

(ii) The length of AH

length HC is calculated as;

[tex]tan \ 46^o =\frac{6.9}{HC} \\\\HC = \frac{6.9}{tan \ 46^o } \\\\HC = 6.66 \ m[/tex]

length of AH = CA - HC

x = b - HC

x = 11.25 - 6.66

x = 4.6 m

length of AH = 4.6 m

Please help me for brainest

Answers

Answer:

It’s 8.8 so just leave it in that order

Step-by-step explanation:

Answer:8.8

Step-by-step explanation:

a giraffe is 16 feet tall and casts a shadow of 24 feet. if Dustin casts a shadow of 9 3/5 feet how tall is he?

Answers

Answer:

12.4 feet

 Proportion of giraffe's height vs the height of its shadow = 16/24 = 2/3

If Dustin's height is x feet tall, then the proportion of his height and the height of his shadow (93/5 feet)should be the same as that of the giraffe, which is 2/3

 

so,

x/93/5 = 2/3

Multiplying both sides with 93/5

 

x = 2/3 * 93/5

x = 62/5 =12.4

what is the equation for the line in slope-intercept form?

enter your answer in the box​

Answers

Answer:

It might help u , plz Brain-list it

Step-by-step explanation:

The option is not given but still its clear from the graph

That its slope intercept form will be ,

X=0  (the point where it intersect x axis) and Y=0  (the point where it intersect y axis)  

Answer:

y = 8x

Step-by-step explanation:

Hope this helps

(From k12)

Jason can travel 23 3/4 miles in 2/3 of an hour. what is his speed in mph​

Answers

Answer:

I agree buster. I can't even run that far.

Step-by-step explanation:

HELP PLS QUICK!!!!!!


Put the following in order from smallest to largest


0.2, 1/2 60%

Answers

Answer:

From smallest to largest

0.2, 1/2, 60%

Step-by-step explanation:

:)

Answer:

0.2, 1/2, 0.6/60%

Step-by-step explanation:

Question 1 (10points)

Help :)

Answers

Answer:

um B

Step-by-step explanation:

???????

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