Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x + 4y = 8

Answers

Answer 1

Answer:

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

Step-by-step explanation:

First subtract 6 from both sides:

[tex]6x+4y=8[/tex]

-6            -6

New equation becomes:

[tex]4y-6=8[/tex]

Divide all by 4:

4     -6      8

---    ---      ---

4       4       4

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

Hence, the final answer is [tex]y=-\frac{3}{2}+2[/tex]


Related Questions

during the first half of the year there were 54 students in the schools bicycling club. in the second half of the year the club had 68 members. find the percent of increase in club membership to the nearest whole percent

Answers

Answer:

To the nearest whole percent is 26%

Step-by-step explanation:

First half of the year = 54 students

Second half of the year = 68 members

find the percent of increase in club membership to the nearest whole percent ?

% increase in club membership = (new member - old member) / old member × 100

= (68 - 54) / 54 × 100

= 14 / 54 × 100

= 0.259 × 100

= 25.9 %

To the nearest whole percent is 26%

a line passes through the points ( -4,3) and (0,0). what is the slope of the line?

Answers

Answer:

The slope is -3/4 or -0.75

Step-by-step explanation:

You can solve this using the slope of a line formula:

[tex]m=\frac{rise}{run}=\frac{y_{2}-y_1 }{x_2-x_1}[/tex]

m = slope

[tex](x_1,y_1)[/tex] = coordinates of first point in the line

[tex](x_2,y_2)[/tex] = coordinates of second point in the line

Now all you have to do is plug your numbers in and solve!

The product of the digits of 3214 is 24. How many distinct four-digit positive integers are such that the product of their digits equals 12

Answers

Using the arrangements formula, it is found that there are 72 distinct four-digit positive integers are such that the product of their digits equals 12.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, considering that the numbers are arranged, we have that there are:

4! 4-digit numbers involving a six, a two and two ones that result in a product of 12.4! 4-digit numbers involving a four, a three and two ones that result in a product of 12.4! 4-digit numbers involving a three , two twos and a one that result in a product of 12.

Hence:

T = 3 x 4! = 3 x 24 = 72.

There are 72 distinct four-digit positive integers are such that the product of their digits equals 12.

More can be learned about the arrangements formula at https://brainly.com/question/24648661

What is the answer someone help me?

Answers

Complementary is equal to 90 degrees so
Angle FGK & Angle GKL are complementary

solve for w: 3w + 4w = 14 simplify your answer as much as possible.​

Answers

Answer:

W=2

Step-by-step explanation:

Let's solve your equation step-by-step.

3w+4w=14

Step 1: Simplify both sides of the equation.

3w+4w=14(3w+4w)=14

(Combine Like Terms)7w=14/7w=14

Step 2: Divide both sides by 7.

7w7=14/7

Your answer comes out at, w=2

If u need some more help just comment down below and ill try to help u some more:p

Given f(x) = 3x-1 and g(x)=2x-3, for which value of x does g(x)=f(2)? Ox=3/2 Ox-2 Ox=5/2 Ox=4​

Answers

Answer: x = 4

====================================================

Work Shown:

First find f(2)

f(x) = 3x-1

f(2) = 3(2)-1 ... replace every x with 2

f(2) = 6-1

f(2) = 5

--------------

The equation g(x) = f(2) is the same as g(x) = 5 since f(2) = 5

g(x) = 2x-3

5 = 2x-3 .... replace g(x) with 5

2x-3 = 5

2x = 5+3 ... add 3 to both sides

2x = 8

x = 8/2 .... divide both sides by 2

x = 4

The value of x that satisfies the equation g(x) = f(2) is x = 4.

What is a function?

A relation is a function if it has only One y-value for each x-value.

We are given two functions f(x) and g(x), and we need to find the value of x that satisfies g(x) = f(2).

We know that f(x) = 3x - 1, so f(2) = 3(2) - 1 = 5.

Therefore, we need to find the value of x that makes g(x) equal to 5.

Setting g(x) equal to 5, we get:

2x - 3 = 5

Add 3 to both sides.

2x = 8

Divide both sides by 2:

x = 4

Therefore, the value of x that satisfies the equation g(x) = f(2) is x = 4.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

im givin away points to anyone even people who just want poinnts and dont put the answers so pls just do my question:Use rounding to estimate the product.

22.1 × 4.61

80
110
88
100

Answers

Answer:

110

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

Simplify cos(arctan-1)

Answers

Answer:

Step-by-step explanation:

area of the shape.
PLEASE

Answers

the area of this shape is 52

Evaluate p^2-q.
When p=3 and q= -4

Answers

Hey there!

p^2 - q

= 3^2 - -4

= 9 - -4

= 9 + 4

= 13


Therefore, your answer is: 13


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

what is the total of 107+88+193?

Answers

Answer:

388. If you need any more help let me know. Also if you googled that you would have gotten the same answer.

Step-by-step explanation:

Answer:

the answer is 388

Step-by-step explanation:

107+88+193=388

What is the slope of a line perpendicular to the line -2x + 9y = 8?

Answers

Answer:

-9/2

Step-by-step explanation:

To make a slope perpendicular, you must find the slope in a y = mx+b format where the slope is easy to find. Add 2x to the opposite side and then divide the entire right side of the equation by 9 to get y = 2/9x +8/9. A perpendicular slope is just a negative reciprocal of the slope, so make 2/9 negative and flip around the numerator and denominator to get a perpendicular slope of -9/2. Hope that helps!

A triangle has an area of 40 square inches. It's base is written as (x + 2) and it's height is written as (x + 4). Calculate the value of x and be sure to check for any extraneous (excluded) value.

Answers

-3 plus or minus square root of 41
See attached picture for explanation

What is an equation of the line that passes through the points (8, -5)(8,−5) and (8, -2)(8,−2)?

Answers

Answer:

This is undefined because the slope is 3/0, and you can't divide by 0

what is yhe slope of a line parallel to the line whose equation is 15x-6y=54 fully simplify ​

Answers

Answer:

m = 5/2

Step-by-step explanation:

use the slope intercept form y = mx + b to find the slope which is m

hope this helps

have a great day- TJ

Slope of the line parallel to 15x - 6y = 64 is [tex]\frac{3}{2}[/tex]

What is slope of a line?

Slope of a line is the tangent of the angle which the line makes with the

positive direction of x axis

If [tex]\theta[/tex] is the angle which the line makes with the positive direction of x axis, then slope of the line is given by

[tex]m = tan\theta[/tex]

If the line passes through ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex])

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

Here,

[tex]15x - 6y = 64\\6y = 15x -64\\y = \frac{15}{6}x - \frac{64}{6}\\y = \frac{3}{2}x - \frac{32}{3}\\[/tex]

Slope of this line = [tex]\frac{3}{2}[/tex]

Slopes of two parallel lines are same

Slope of the line parallel to the above line =  [tex]\frac{3}{2}[/tex]

To learn more about slope of a line, refer to the link-

https://brainly.com/question/3493733

#SPJ2

Will give brainliest, thanks, and 5 stars!
Please help me with this question and how I do it!

Answers

|| ▼ Answer ▼ ||

8 is correct!

|| ✪ Solution ✪ ||

[tex]g(x)=2x^{2}-8x+1[/tex]

Vertex of f(x) is:

[tex](x,y)=(2,1)[/tex]

Graph of g(x) is attached :

Vertex of g(x) is:

[tex](x,y)=(2,-7)[/tex]

Y- value of vertex f(x) subtract from Y-value of g(x)

[tex]=1-(-7)[/tex]

[tex]=1+7[/tex]

[tex]1+7=8[/tex]

Hope this Helps!

If you have any queries please ask.

Ellie has been training for the Cedar Ridge Off-Road Race. The first week she trained, she ran 3 days and took the same two routes each day: 2. 5 miles on a path in the woods in the morning and a longer route at the park in the afternoon. By the end of the week, Ellie had run a total of 24 miles. Which equation can you use to find how many miles, x, Ellie ran each afternoon?

Answers

The distance that Ellie ran each afternoon is 5.5 miles for a whole week.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the distance that Ellie ran each afternoon, since she ran 24 miles, hence:

3(2.5 + x) = 24

7.5 + 3x = 24

x = 5.5 miles

The distance that Ellie ran each afternoon is 5.5 miles for a whole week.

Find out more on equation at: https://brainly.com/question/2972832

PLEASE HELP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

54

Step-by-step explanation:

What is the answer? Please help I need it today.

Answers

Answer:

0.141 in³

explanation:

[tex]\sf \bold{volume \ of \ rectangular \ prism = length * width * height }[/tex]

using the formula:

[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{1}{2} * \dfrac{3}{4} * \dfrac{3}{8} }[/tex]

[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{9}{64} \ in^3[/tex]

[tex]\sf {volume \ of \ rectangular \ prism = 0.140625 \ in^3[/tex]

[tex]\sf {volume \ of \ rectangular \ prism = 0.141 \ in^3[/tex]

Please HELP im begging anyone Question 6 options:

The Edwards family spends $800 per month on groceries for their family. If this is 18% of their monthly budget, then what is their monthly budget?


Round to the nearest cent (hundredths place).

I suck at math so like yeah and i really need this good grade please

Answers

Answer:

$444.44

Step-by-step explanation:

Let the monthly budget of Edward family be $x.

-> 18% of x = 800

-> 0.18x = 800

-> x = 800/0.18

-> x = 444.44

Thus, the monthly budget of Edward family is $444.44.

A house-painting company charges $350 plus $15 per hour. Another company charges $275 plus $20 per hour. Write an equation that represents when both companies will cost the same amount.

How long will the job be when both companies charge the same amount?

Answers

Answer:

350 + 15x = 275 + 20x where x = 15

Step-by-step explanation:

350 + 15x = 275 + 20x

350 - 275 = 20x - 15x

75 = 5x

75/5 = 5x/5

15 = x

350 + 15(15) = 275 + 20(15)

350+225 = 275+300

575 = 575

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.

Step-by-step explanation:

[tex]\dfrac{ b }{ 3 } +1 > 0[/tex]

Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.

[tex]b+3 > 0[/tex]

Subtract 3 from both sides. Anything subtracted from zero turns into a negative number.

[tex]b+3-3 > 0-3[/tex]

Simplify

[tex]b > -3[/tex]

Now we need to graph it:

Inequalities can be shown on a number line. Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).

Symbol Meaning

> Greater than

> Greater than or equal to

< Less than

< Less than or equal to

We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.

Also look at the picture

0.00000804 scientific notation

Answers

here’s is the answer: 8.04x10^-6

In a circle, a central angle of 2.5 radians intercepts an arc
of 15 inches. Find the area of the circle to the nearest tenth.

Answers

Answer:

19.63 in2

Step-by-step explanation:

2.5 squared is 6.25. Then you times it by 3.14 giving you 19.625 rounded to 19.63. Hope this helps!

The square below represents one whole.

What percent is represented by the shaded area?

Answers

Answer:

I think it is 13%

Step-by-step explanation:

I think this since there are 100 Square Units so if there are 13 shaded it would be [tex]\frac{13}{100}[/tex] which equals to 13%

IF THIS IS WRONG IM SOO SUPER DUPER VERY SORRY

Liz makes and sells necklaces. It costs her $40 for the supplie s to make 50 necklaces. How much must she sell each one for in order to make a profit of at least $250?

Answers

Using proportions, it is found that she must sell each necklace for at least $5.80 in order to make a profit of at least $250.

What is a proportion?

A proportion is a fraction of a total amount

In this problem, it costs her $40 to make 50 necklaces. She wants a profit of at least $250, hence the 50 necklaces should sell for at least $250 + $40 = $290.

Hence, the minimum price for each one is given by:

$290/50 = $5.80.

She must sell each necklace for at least $5.80 in order to make a profit of at least $250.

More can be learned about proportions at https://brainly.com/question/24372153

Swimming Pool On a certain hot​ summer's day. 445 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $945.75. How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

170 kids

368 adults

Step-by-step explanation:

If PT=u and QS=u–28, what is the value of u?

Answers

Answer:

u = 56

Step-by-step explanation:

the midsegment QS is half the length of the third side PT , that is

QS = [tex]\frac{1}{2}[/tex] PT ( substitute values )

u - 28 = [tex]\frac{1}{2}[/tex] u ( multiply through by 2 to clear the fraction )

2u - 56 = u ( subtract u from both sides )

u - 56 = 0 ( add 56 to both sides )

u = 56

find all solutions for a triangle with a = 12 b=10 c=6

Answers

Answer:

60

Step-by-step explanation:

Multiply the sum of sixteen and four and the difference of negative two and negative seventeen. Select the correct answer.

Answers

p.s im not sure but i’ll try to help
the sum of 16 and 4 should be 20. and the difference between -2 and -17 should be -19. Multiplying 20 and -19 should give u -380
Other Questions
PLEASE HELPPPPP! Im so bad at math its not funny ________ refers to the amount of force a muscle, or group of muscles, is capable of exerting in one contraction. PLEASE HELP ASAP 50 PTS I NEED TO GIVE MY HOMEWORK Find the magnitude of the vector .WILL GIVE BRAINLIEST Which of the following objects has the greatest kinetic energy? baseball flying through the air at 90 miles per houra baseball flying through the air at 45 miles per hourO a baseball flying through the alr at 20 miles per houra baseball sitting on the ground What place on the earth has the highest air pressure? What is its elevation and air pressure? In the figure below, the angles with measures (2x) and (3x) lie along the same line./400(2x)(3x)What is the value of x? Show your work. The school store has 1500 pencils in stock and sells an average of 20pencils per day. The manager reorders when the number of pencils in stock is 460.Write an equation that can be used to determine in how many days the manager will have to reorder pencils. There are 4,315 pistachios in the bulk bin at the grocery store. Maria wants to split the pistachios into 40 packages so that each package has the same number of pistachios with none left over. Which explains whether or not it is possible? It is possible to split the pistachios into 40 packages because each package will contain 107 pistachios. It is possible to split the pistachios into 40 packages because each package will contain 108 pistachios. It is not possible to split the pistachios into 40 packages. It would be possible if there were a total of 4,280 pistachios. It is not possible to split the pistachios into 40 packages. It would be possible if there were a total of 4,380 pistachios. What do we need to know to convert SI units for any measurement? what about this?Which of these best explains the distribution of natural resources? A. Resources are distributed evenly across Earth's systems. B. Resources are distributed where they are needed by humans. C. Resources are distributed unevenly and often must be moved for human use. D. Resources are located in areas where they can be transported without damage to the environment. How did I get this wrong???? What is the gravitational force cause The __________ is hammer-shaped bone of the middle ear that is attached to the inner surface of the eardrum.A.malleusB.incusC.tympanumD.stapes Which rectangular cake gives you more to eat a vanilla cake measuring 8 in x 11 in x 13 in or a chocolate cake measuring 9 1in x 12in x 2 in? summarize the five aspect of professional and academic language Which is a parallelogram? For points A B C D How does a childs writing change as they learn more about print number of SO42- ions in 20.4 g Cr2(SO4)3 HELP PLEASE!!!!!! + 100 POINTS which of the following does not conduct electricity easily1. silver2. plastic3. copper4. salt water