Write a linear function through the points (0,9) and (1,27)

Answers

Answer 1

Answer:

y = 18x + 9

Explanation:

(0,9), (1,27)

slope:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf \dfrac{27-9}{1-0}[/tex]

[tex]\sf 18[/tex]

equation:

y - y₁ = m ( x - x₁)

y - 9 = 18 ( x - 0 )

y = 18x + 9

Answer 2

Answer:

y= [tex]\frac{1}{18}[/tex]x + 9

Step-by-step explanation:

(0,9) , (1,27)

([tex]x_{2}[/tex]-[tex]x_{1}[/tex])÷([tex]y_{2}[/tex]-[tex]y_{1}[/tex]) = slope

[tex]x_{2}[/tex]=1    [tex]x_{1}[/tex]=0    [tex]y_{2}[/tex]=27    [tex]y_{1}[/tex]=9

(1-0)÷(27-9) = 1/18

m = slope = 1/18

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

y-9= [tex]\frac{1}{18}[/tex] (x-0)

y-9 = [tex]\frac{1}{18}[/tex]x

y= [tex]\frac{1}{18}[/tex]x + 9


Related Questions

294 students went on a field trip. Five buses were filled and 14 students travelled in cars. How many students were in each bus?

Answers

Answer:

294 - 14 = 280 ÷ 5 = 56

In conclusion, there were 56 Students in each Bus.

Which event has a probability of 50%?

getting heads when tossing a coin

randomly selecting a red tile from a bag with 1 red tile and 3 blue tiles

rolling a 1 when rolling a number cube with faces numbered from 1 to 6

randomly selecting a vowel from the letters in the alphabet

Answers

Answer:

getting heads when tossing a coin

Step-by-step explanation:

there are only 2 options, heads or tails, and there's an equal chance of getting both.

Answer: A) getting heads when tossing a coin

The average amount of ozone in several cities across Pennsylvania was correlated with the average number of asthma cases in those cities. What type of study is this

Answers

Answer:

Ecological study

Step-by-step explanation:

If the square below is enlarged by a scale factor of 2, what will be the area of the new square?

Answers

Answer:

There is no square picture attached.

SEE BELOW FOR MORE

Step-by-step explanation:

Although, the area will be multiplied by 4.

For example, if the side values are 2,

The area is 4.

But if we enlarge it by a scale factor of two, the side values will be 4.

The area will be 16.

Can u explain this 4 me?

Answers

Got you bro

=(0.04 -+ 0.1 +0.28) x100 /
= 0.42 x 100%
=42%



Factor the trinomial below.
x2 - 14x + 45
O A. (x-3)(x + 15)
O B. (x - 5)(x-9)
O C. (x-3)(x-15)
O D. (x - 5)(x + 9)

Answers

Answer:

The choice B. (x - 5)(x-9)

Your teacher announced a 50-point math quiz for tomorrow. The quiz will have 15 questions with word problems worth 4 points each and some open response questions worth 3 points each. Find the number of each type of question. You may use any of the methods to solve. Check your answer.

Answers

Answer:

5  word problems(4points each)      &      10 open (3 points each)

Step-by-step explanation:

O= open response

W= word problems

  W+O =15

4W + 3O = 50

multiply the first by -3 to eliminate O

-3W -3O = -45

4W  + 3O = 50

  AD BOTH

W = 5    ( 5 questions word problems)

O= 10   ( 10 questions open response)

  5x4 = 20

10x3 = 30

      20 + 30 = 50 points

4 1/6 + 5 2/3

Enter your answer as a mixed number in simplest form

Answers

Answer:

above is the solution to the question

помогите начертить радиус вписанной окружности пжпжпж

Answers

Если вы выбираете центр A, то радиус 3 сантиметра, если вы выбираете центр C, то радиус составляет 2 сантиметра, пожалуйста, отметьте меня как самого мозгового

A right pyramid has a regular hexagon as a base. The slant height is 20, and the perimeter of its base is 10. What is the lateral surface area of the pyramid

Answers

Answer:

100 unit^2

Step-by-step explanation:

lateral surface area of right pyramid = .5*p*s

p = perimeter

s = slant ht

LS = 100 unit^2

If $g(x) = 3x + 7$ and $f(x) = 5x - 9$, what is the value of $f(g(8))$?

Answers

Answer: 146

Step-by-step explanation:

At a bowling alley, there is a flat fee of
$
5.00
to rent shoes. In addition, it costs
$
1.25
for each game bowled.

Which equation shows the total cost (
c
) for the number of games (
g
) one bowls?


c
=
1.25
g
+
5
, c is equal to 1 point 2 5 g plus 5

c
=
1.25
g
+
5
g
, c is equal to 1 point 2 5 g plus 5 g,

c
=
5
g
+
1.25
, c is equal to 5 g plus 1 point 2 5

c
=
6.25
+
1.25
g

Answers

Answer:

Step-by-step explanation:

I don't understand the options as written, but the correct equation would be:

C = $5.00 + 1.25g,

where C is the total cost and g is the number of games played.

A cylinder has radius 2.5 meters. its volume is 50pi meters. Find its height.

Answers

Answer:

8

see image for work

I need help with 2(4/3)x8x15+280919 we couldn’t use calculator

Answers

Answer:

281,319.005

Step-by-step explanation:

Because 2 and 4/3=3 and 1/3

Because since the numerator= 4 and the denomeyer is 3 we can add another whole number so 2 and 4/3 can add  whole so 2 + 1=3 wholes with 1 left over so 3 1/3.

Next we do 3 1/3 x 8 which=26.667 also known as 26 2/3

Because 2/3=66.667.


Next we so 26 and 2/3 x 15=400.005

And last 400.005 + 280,919=281,319.005


Hope this helps have a great day:)

WILL RECEIVE BRAINLIEST

Mr. Campbell has a square garden with an area of 256 square feet. He wants to put a fence along 3 sides of the garden. How may feet of fencing will he need?

Answers

Answer:

48 feet of fencing!!

Step-by-step explanation:

hope this helps! God bless you! <33

Factorise
x^2 - x

Thank you! ​

Answers

Answer:

x(x-1)

Step-by-step explanation:

[tex]x^{2} -x[/tex]

look for what both functions share, they both share an x,

which you can factor out,

x(x-1)

and you have your answer :)

Which line is perpendicular to y=2x+3 and passes through the point (0, 5)


Question 2 options:

A) y=2x+5

B) y=5x+2

C) y=12x+3

D) y=−12x+5

Answers

The answer is b I think

Help!?!?!?! Brady had 12 cupcakes, if he wanted 4 cupcakes piled in each group, how many groups were there??

Answers

Answer:

3 groups

Step-by-step explanation:

12/4 is 3

Here’s a photo to help. All you had to do is divide!

SOMEONE HELP ME URGENTLY!!

Answers

Step-by-step explanation:

a. 6:24

b. 1:4

c. 2 = 8, 3 = 12, 4 = 16, 5 = 20, 6 = 24.

d. 6:4 :: 24: X => X = (4×24)/6 => X = 16

e. 4 times

f. by proportion.

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Answers

Answer:

x + 6

Step-by-step explanation:

Edit:

A moderator mentioned my answer had a mistake: turned out the question posted was incomplete. The complete question should read:

"

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

x – 6

x – 3

x + 1

x + 6

"

As shown in the same graph, f(x) cross the x-axis at x = -6, -3 and 0.

When a polynomial crosses the x-axis at x = a, (x - a) must be a factor.

So (x + 6), (x + 3) and x are factors of f(x).

Of the options, the correct answer is x + 6.

The complete question with verified answer is here: https://brainly.com/question/3875529

First let's check for zeros

Mark the x intercepts

-6,-3,0

The factors are

x+6x+3x

Find the smallest part when £40 is
shared in the ratio 3:1

Answers

You might have to simplify it 30:10

Haley and Sabrina are both training for a race.

Haley runs 4.2 miles each day.
Sabrina has been running as many miles each day as Haley.
Next week, Sabrina is going to increase the miles she runs each day by 25%.
Haley and Sabrina both train by running 6 days each week.
What is the total number of miles Sabrina will run next week to train for the race?

A.
5
B.
18.3
C.
21
D.
47.25

Answers

the answer is 47.25. trust me, its pretty obvious

simplify each expression
5/4÷7/16
-10/13×5/11
9/11÷(-20/21)
-8/3÷(-5/18

Answers

Answer:

5/4÷7/16=20/7

-10/13 x 5/11=-50/143

9/11÷(-20/21)=-189/220

-8/3÷(-5/18)=-48/5

Step-by-step explanation:

hope this helped!!

100 POINTS EZ |

The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.

Answers

Area of the quadrilateral=1/2×diagonal×(sum of perpendiculars)

Put the values

Area:-

[tex]\\ \rm\Rrightarrow \dfrac{1}{2}(24)(8+13)[/tex]

[tex]\\ \rm\Rrightarrow 12(21)[/tex]

[tex]\\ \rm\Rrightarrow 252m^2[/tex]

Answer:

Step-by-step explanation:

Divide the quadrilateral field into two triangles by its diagonal.

Area of a triangle is given by the equation 1/2*base*height.

The top triangle's area = 1/2*24*13 = 156 m^2

The bottom triangle's area = 1/2*24*8 = 96 m^2

Combining, the area of the field = 156 + 96 = 252 m^2

need help with this problem. ​

Answers

Answer:

C) [tex]-\frac{47}{49}[/tex]

Step-by-step explanation:

By the cos double angle formula, we know [tex]\cos(2\theta)=2\cos^2\theta-1.[/tex] Substituting [tex]\cos \theta[/tex] into the formula, we get

[tex]\cos(2\theta)=2(-\frac{1}{7})^2-1\\~~~~~~~~~~=\frac{2}{49}-1\\~~~~~~~~~~=\boxed{-\frac{47}{49}}[/tex].

The answer is C.

rosa has a goal of running a total of 150 miles this month each day she ran for 6 miles . what expression could rosa use to determine how many miles she has left to run after running for d days

Answers

Answer:

miles left = 150 - 6d

Step-by-step explanation:

To create this expression, let 150 be the total number of miles she needs to run. If she runs 6 miles every day, the expression for miles she has left is the total miles - 6* how many days she has been running. Your final expression for miles she has left should be 150 - 6d.

Hopefully this helps- let me know if you have any questions!

Brice used a $100 bill to pay for a $65. 82 purchase. How much change should he get back?

Answers

$34.18




100.00-65.82= 34.18

A line passes through the points (3,16) and (6,19). Write a linear function rule in terms of x and y for this line.

Answers

Answer:

y=1x+13

Step-by-step explanation:

First find the slope of the line.  Slope is (y2-y1)/(x2-x1). Plug in 19 for y2, 16 for y1, 6 for x2, 3 for x1. So (19-16)/(6-3) is 3/3 or 1.  The slope of the line is 1.

take the equation y=mx+b and plug 1 in for the slope (m).  Then plug in one set of points.  Using (3,16) into y=1x+b, 16=1(3) + b.  Solve for b.  B is 13.  So the linear equation is y=1x+13.

0
Select all the equations that are equivalent to this equation.
1/4 (8X + 56) = 20
56 + 8X = 80
14 = 20 – 8x
2X + 14 =5

Answers

1/4(8x+56)=20
1/4(8x)+1/4(56)=20
2x+14=20
2x=20-14
2x=6
X=3

Which of the following is a factor of the expression 4x^2-2x-42?
Group of answer choices

2x-6

2x-7

x-3

4x-7

Answers

Answer:

[tex]4x ^{2} - 2x - 42 \\ 2(2 {x}^{2} - x - 21) \\ 2(2 {x}^{2} + 6x - 7x - 21) \\ 2(2x(x + 3) - 7(x + 3) \\ 2(2x - 7)(x + 3)[/tex]

Answer:

2x - 7

Step-by-step explanation:

4x² - 2x - 42 ( factor out 2 from each term )

= 2(2x² - x - 21) ← factor the quadratic

consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 21 = - 42 and sum = - 1

the factors are+ 6 and - 7

use these factors to split the x- term

2x² + 6x - 7x - 21 ( factor the first/second and third/fourth terms )

= 2x(x + 3) - 7(x + 3) ← factor out (x + 3) from each term

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

then

4x² - 2x - 42 = 2(x + 3)(2x - 7) ← in factored form

with 2x - 7 as a factor

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