Contains (5,8) and is parallel to the graph of 2x + 3y = 9.

Contains (5,8) And Is Parallel To The Graph Of 2x + 3y = 9.

Answers

Answer 1
2x+3y=9
3y=9-2x
y=-2/3x+3

Slope is -2/3

8=-2/3(5)+m
Answer: y=-2/3x+34/3

Please mark brainliest thanks

Answer 2

Answer:

[tex]\displaystyle y = -\frac{2}{3} x + \frac{34}{3} \text{ or } 2x + 3y =34[/tex]

Step-by-step explanation:

We want to find the equation of a line that contains the point (5, 8) and is parallel to the graph of:

[tex]\displaystyle 2x + 3y = 9[/tex]

Recall that parallel lines have equal slopes.

Find the slope of the given graph by rewriting it in slope-intercept form:

[tex]\displaystyle \begin{aligned} 2x + 3y & = 9 \\ \\ 3y & = -2x + 9 \\ \\ y & = -\frac{2}{3} x + 3 \end{aligned}[/tex]

Hence, the slope of the given graph is -2/3. Therefore, the slope of our new line must also be -2/3.

Since we now have a slope and a point, we can consider using the point-slope form:

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

Substitution yields:

[tex]\displaystyle y - (8) = -\frac{2}{3}(x -( 5))[/tex]

We can simplify this into slope-intercept form:

[tex]\displaystyle \begin{aligned} y - 8 & = -\frac{2}{3} x + \frac{10}{3} \\ \\ y & = -\frac{2}{3} x + \frac{34}{3}\end{aligned}[/tex]

Or, into standard form:

[tex]\displaystyle \begin{aligned} y & = -\frac{2}{3}x + \frac{34}{3} \\ \\ 3y & = -2x + 34 \\ \\ 2x + 3y & = 34 \end{aligned}[/tex]


Related Questions

What is the inverse of the function?
f(x) = 3^x + 1

f^-1(x)= log3 (x) +1
f^-1(x)= log3(x)-1

f^-1(x)=log3(x+1)

f^-1(x)=log3(x-1)

Answers

Answer:

f^-1(x)=logs3(x+1)

Step-by-step explanation:

Let y=f(x)

[tex]\\ \rm\Rrightarrow y=3^x+1[/tex]

Interchange

[tex]\\ \rm\Rrightarrow x=3^y+1[/tex]

[tex]\\ \rm\Rrightarrow lnx=ln(3^y+1)[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{ln(y-1)}{ln3}[/tex]

Again interchange

[tex]\\ \rm\Rrightarrow f^{-1}(x)=\dfrac{ln(x-1)}{ln3}[/tex]

Find the quotient or 4/5 and 6/7 give ur answer as a fraction in simplest form

Answers

Answer:

14/15

Step-by-step explanation:

Let me know if i got it right if not I'm sorry :(

The required quotient would be 14/ 15 which is a fraction.

What is the Quotient?

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

We have been given that two numbers are 4/5 and 6/7

To determine the quotient or 4/5 and 6/7

⇒ 4/5 ÷  6/7

⇒ 4/5 / 6/7

Reciprocal the term of denominator,

⇒ 4/5 × 7/6

Apply the multiplication operation,

⇒ 28 / 30

Reduce the above fraction to the simplest form

⇒ 14/ 15

Therefore, the required quotient would be 14/ 15 which is a fraction.

Learn more about the quotient here:

brainly.com/question/27796160

#SPJ2

MC)
The equation represents Function A, and the graph represents Function B:
Function A
f(x) = 6x-1
Function B
4
3
2
1
- 2
-3
-4
-5
-6
Which equation best compares the slopes of the two functions?
Previous Question

Answers

Take 2points on graph

(0,1)(1,4)

[tex]\\ \sf\longmapsto slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{4-1}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=3[/tex]

Calvina Miller makes a car payment of $214.50 every month. Her car
loan is for 5 years. How much will she pay in 5 years?

Answers

12,870 dollars. Let me know if you want me to show my work.

Mikael has a loan of $40 000.
He pays 1.6% simple interest for six months
How much interest does he pay altogether?

Answers

Step-by-step explanation:

Based on the given conditions,

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}[/tex]

[tex]Reduce the fraction: 2 \times320

[tex]Reduce the fraction: 2 \times320Calculate the product orquotient: 640[tex]

Answer 640

Answer:

[tex]\sf\longmapsto \: 640[/tex]

Step-by-step explanation:

Based on given cases:

[tex] \sf \: Formulate: 1.6\% \times 40000 \times 12 \div 12[/tex]

Reduce the fraction:

[tex] \sf \longmapsto \: \dfrac{2 \times 40000}{125}[/tex]

[tex] \sf \longmapsto \: 320 \times 2[/tex]

Calculate the product/quotient:

[tex] \sf\longmapsto \: 640[/tex]


What is the distance between -33 and -18.5 on a number line

Answers

Step-by-step explanation:

The distance between two numbers in a number line is obtained by subtract the two numbers. The order of the subtraction starts with the number a bigger value followed by the number with the smaller value. For example,

x

and

y

are the two numbers and

x

y

, then the correct order should be

x

y

.

Answer and Explanation:

Become a Study.com member to unlock this answer! Create your account

Given the numbers

7

and

11

on the number line, find the distance between the two numbers.

Solution:

Since

7

is...

13.5

absolute value ig

what is the x and y intercept of 18x-3y=15

Answers

Answer:

18(0) -3y = 15

-3y=15

now divide-3 from both sides

y= 15/-3

reduced is -5

y int = (0,-5)

18x-3(0)=15

18x=15

divide the 18 from both sides

x=15/18

reduced is 5/6

x int = 5/6

will mark brainlest answer the question in the picture linked below
and explain as well

Answers

Answer:

¹⁰√4

Step-by-step explanation:

4^(2/5*1/4)

4^(1/10)

¹⁰√4

Let a, b, and c be real numbers where a . b*C+0. Which of the following functions could represent the graph
below?
ASAP PLS

Answers

Answer:

                   

Step-by-step explanation:

Prime numbers have, less than two factors, more than two factors, exactly two factors, less than or equal to two factors.​

Answers

Answer:

exactly 2

Step-by-step explanation:

Prime numbers, the way I was taught to answer this question, has less than 2 factors. The reason is that 1 is considered a factor. However, I think the definition has changed and a prime has exactly two factors -- 1 and itself. 11 is a prime number: only 11 and 1 will divide into it.

Answer:

C exactly two factors.

Step-by-step explanation:

its 2 factors since 1 is considered a factor and 11 is a prime number so it be 2.

place the boxes in the correct location this Math problem 15 points

Answers

Answer:

but where is the question please type your full questions

Do you have a picture

8) What is the area of a polygon with vertices
A(-2,4), B(4,4), C(7,0) and D(-5,0)?
(A) 48
(B) 42.5
(C) 36
(D) 24

Answers

Answer:

[C] 36.

Step-by-step explanation:

the given polygon is trapezoid, where its bases are AB and CD.

The required area can be calculated using the formula: A=0.5(AB+CD)*h, where h - height of the ABCD.

The lengths are: AB=6; CD=12; h=4, then the required area:

A=0.5(6+12)*4=36

do
any one need points​

Answers

Thanks for the points appreciate it hope you have a good day

Determine the domain and the range of the function.
f = {(4, 8),(19,-3),(33, 8),(54,3)}
The domain is {}.

Answers

Answer:

By definition: domain is set of x coordinates = {4, 19, 33, 54}, By definition: range is set of y coordinates = {8, -3, 8, 3} = {8, -3, 3}  

Step-by-step explanation:

Simplify the radicals below.

Answers

Answer:

2(∛6 )

Step-by-step explanation:

∛12 × ∛ 4 = [tex]\sqrt[3]{12*4}[/tex] = ∛48 =  [tex]\sqrt[3]{2^{3} *6}[/tex] = 2(∛6 )

The sum of 3 consecutive numbers is 126. Find the numbers.

Answers

Answer:

Hello!!

The sum of 3 constructive numbers is 126. The three constructive numbers are...

[tex]41+42+43=126[/tex]

Hope this helps!!

Edward opens a new account and makes a deposit of $150. He then makes withdrawals of $10, $20 and $25, before depositing $30 more. What is the new balance?​

Answers

The new balance is $125
Explanation)
150-10-20-25 = 95
95 + 30 = 125
150 - 10 - 20 - 25 + 30 = 125
the new balance is $125 :)

PLEASE ANSWER THIS ROTATIONAL SYMMETRY QUESTION ITS 6TH GRADE I WILL GIVE U THANKS AND BRAINLIEST

Answers

Answer:

See below:

Step-by-step explanation:

The first one is 4 since if we turn if 90 degrees 4 times we will get the same shape 4 times.

The second one is 1 since we will only get it after a 360 degree rotation once,

The third one is once since we wont ever get the same shape since the arrow but only after a 360 degree rotation.

The fourth one is only once since we cant rotate a 3 sided object in 4 ways, hence its only once

The fifth one is twice since it will be the same at 180 and 360 degrees.

From 2 Points:
(1,5) & (-2,3)
The formula to find the slope between these two points is
(1-5)/(-2-3)
(1--2)/(5-3)
(5-3)/(1--2)

Answers

Answer:

(5 - 3)/(1 - (-2))

Step-by-step explanation:

The formula for finding the slope is

y₂ - y₁/x₂ - x₁

In this case, we have two points so the way we’re supposed to find the slope is

3 - 5/-2 - 1 or 5 - 3/1 - (-2)

Then the correct answer is (5 - 3)/(1 - (-2))

Find the properties of the parabola with the equation (x - 1)^2 = (y - 1). Leave answers in fractional form.

Directrix

y = 5/4
x = 3/4
y = 3/4

Answers

Answer:

B

Step-by-step explanation:

I hope i helped and ur welcome

4/8 -2/8 = help me simplify the answer help plzz

Answers

4/8-2/8=2/8
Both the numerator and the denominator can be divided by 2

So 2/2=1
And 8/2=4

So the answer is 1/4

I hope this helps!

Answer:

the answer is 0.25

Step-by-step explanation:

hope that helps

Juanita is tying ribbon on gift bags. She has 24 feet of ribbon and each gift bag uses 0.75 foot of ribbon. The function

r = 24 -0.75g represents the amount of ribbon r Juanita has left after tying ribbon on g gift bags. Find the zero of the function. Describe

what this value means in the context of this situation

The zero of the function is at ___. This represents that after tying ribbon on ____ gift bags, Juanita will have ____ feet of ribbon left.

Answers

The zero of the function is at 32 gift bags. This represents that after tying ribbon on 32 gift bags, Juanita will have zero feet of ribbon left.

According to the question;

The function r = 24 -0.75g represents the amount of ribbon r Juanita has left after tying ribbon on g gift bags.

The zero of the function is at, r = 0.

Therefore;

0 = 24 -0.75g

g = 24/0.75

g = 32.

This value means that after tying 32 gift bags, Juanita will have zero feet of ribbon left.

Read more;

https://brainly.com/question/20828026

PLEASE HELP! I Would appreciate it

Answers

Quick answer: 0.2908, or %29.0816.

Long answer: So this question is a probability problem, so we take the number we’re looking for and divide it by the whole. Which in this case would be 285/980 Getting us 0.290816326530612 which can be rounded to 0.2908, or in percentage form %29.0816.

Please mark brainliest

What are the characteristics of the graph of the inequality x < 4.5?

The ray will move to the left.
It will use a closed circle.
It will use an open circle.
The ray will move to the right.

Answers

Answer:

see explanation

Step-by-step explanation:

Given x < 5

The graph will have an open circle at 5 indicating that x is not equal to 5, which would be a closed circle.

The ray will move to the left since values less than 5 are to the left of 5

Answer:Please see explanation

Step-by-step explanation:

What are the characteristics of the graph of the inequality x < 4.5?

The answer is The ray will move to the left.

It will use an open circle.

Please votes me 5 stars,1 heart,and mark as brainliest. Thanks

Please help me to làm bài

Answers

Answer

Xét f'(x)=0, tìm các giá trị x, lập bảng biến thiên

Đồ thị:

Step-by-step explanation:

5+5+5+5+2454+76492+69238120+65928

Answers

Answer:

5 + 5 + 5 + 5 + 2454 + 76492 + 69238120 + 65928 = 69383014

Step-by-step explanation:

69383014 is the answer, I used a calculator

Please let me know if Im incorrect

Answer:

5+5+5+5+2454+76492+69238120+65928=69383014

A manager announces that a sweater will go on sale every month at a discount of 25% less than the previous month’s price. If the sweater is at full (retail) price today, how many months from today will it take the price of that sweater to drop to half of today’s price

Answers

Answer:

2 months

Step-by-step explanation:

its at full price at 100%

if it goes down 25% it'll take 2 months to drop half of today's price because 25 x 2 = 50

half of 100

Answer fast, please!!

Answers

the answer is B!!!!

Nathan usually drinks 32 ounces of water per day. He read that he should drink 56 ounces of water per
day. If he starts drinking 56 ounces, what is the percent increase? Round to the nearest percent.

Answers

Answer:

57 percent

Step-by-step explanation:

36 divided by 56 equals .57142 which rounds to 57

-1/3x-1/6=2/9 solution

Answers

Answer:

-1  1/6

Step-by-step explanation:

Use a common denominator first to convert all the fractions so they can be easily added or subtracted.

Common denominator is 18 since 3, 6, and 9 can all evenly divide into 18

1/3 = 6/18

1/6 = 3/18

2/9 = 4/18

So now you have

-6/18x - 3/18 = 4/18

add 6/18x to both sides so you can make the number with the variable positive

6/18x - 6/18x - 3/18 = 4/18 + 6/18x simplifies to - 3/18 = 4/18 + 6/18x

subtract 4/18 from both sides

- 3/18 - 4/18 = 4/18 - 4/18 + 6/18x simplifies to - 7/18 = 6/18x

Divide both sides by 6/18 so x is alone on the one side

( - 7/18) / ( 6/18) = ( 6/18x) / ( 6/18)  simplifies to ( - 7/18) / ( 6/18) = x

When you divide a fraction by a fraction, the bottom fraction gets flipped over then you multiply the two new fractions straight across

so the new equation looks like this

- 7/18 times 18/6 and you multiply -7 x 18 = -126 and the bottom is 18 times 6 = 108    you now have  -126/108

x = -126/108  which simplifies to - 1  18/108  which can still be simplified more to -1  1 / 6   since 108 can be divided by 18 that gives you 6.

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