A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (5,3). Find the slope of the linear function. Write the slope in fraction form.​

Answers

Answer 1

Answer:

x - 5y = - 10

Step-by-step explanation:

y = mx + b (b is y-intercept)

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~

x + 4y = 8 ⇔ y = [tex]-\frac{1}{4}[/tex] x + 2 ⇒ y-intercept is 2 and coordinates of y-intercept are (0, 2)

(5, 3)

m = [tex]\frac{3-2}{5-0}[/tex] = [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex] x + 2 (slope-intercept form)

x - 5y = - 10 (standard form)


Related Questions

give the quadrant each set of coordinates lies in

1 , 5
-2 , 4
-3 , 2
4 , -4

Answers

1) Quadrant 1
2) Quadrant 2
3) Quadrant 2
4) Quadrant 4
quadrant 1
quadrant 2
quadrant 2
quadrant 4

Manuel se ha gastado 2/8 partes de la paga en ropa y 1/12 parte en dulces. ¿Qué fracción de la paga le queda?, ¿Si le dieron 45€ de paga, cuanto ha gastado y cuanto le queda?.

Answers

Responder:

2/3; 30 €

Explicación paso a paso:

Fracción gastada en ropa = 2/8

Fracción gastada en dulces = 1/12

Fracción restante:

1 - (Fracción gastada en ropa + fracción gastada en dulces)

1 - (2/8 + 1/12)

L. C. M de 8 y 12 = 24

1 - (6 + 2) / 24

1 - 8/24

1 - 1/3

= (3 - 1) / 3

= 2/3

Si la paga era de 45;

Cantidad restante: 2/3 de 45

= 90/3

= 30 €

i need help on this one

Answers

Answer:

gfgfgfgfgfg

Step-by-step explanation:

Answer:

X= -4

Step-by-step explanation:

Please help!! I’ve been stuck on 3 & 4!

Answers

f(x) is f(x)=30x+40
g(x) is g(x)=35x+5

last twi answers are

250$ to deliver 7 cubic yards of pea stone

18/24 greater than or less than 55%

Answers

18/24= 75%
75% is greater than 55%

Answer:

I think 55°% is less

Find an expression which represents the difference when (-3x-4y) is subtracted from (x+6y) in simplest terms

Answers

9514 1404 393

Answer:

  4x +10y

Step-by-step explanation:

Indicate the subtraction, use the distributive property, collect terms.

  (x +6y) -(-3x -4y) = x +6y +3x +4y

  = (x +3x) +(6y +4y)

  = 4x +10y

Answer:

2y - 4x

Step-by-step explanation:

equation: x + 6y - 3x - 4y

combine like terms: x -3x + 6y - 4y

add/subtract: -4x + 2y

switch: 2y - 4x

I hope this helped, please mark Brainliest, thank you so much!!

Passes through (-6,-1) and is parallel to y=-2/3x+1

Answers

Answer:

y=-2/3x-6

Step-by-step explanation:

y=mx+b

m=-2/3

y-y=m(x-x1)

y-(-1)=-2/3(x-(-6))

y+1=-2/3x-4

-1 -1

y=-2/3x-5

Answer:

[tex]y=-\frac{2}{3}x -5[/tex]

Step-by-step explanation:

Slope-intercept form:

[tex]y=mx+b\\\\y=(slope)x+(y-intercept)[/tex]

m is the slopeb is the y-interceptx and y are corresponding coordinate points (x,y)

When two lines are parallel, their slopes are the same. Take the slope from the given equation and insert into the new:

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

Now find the y-intercept. For this, insert the given coordinate points and the slope into the equation to solve for b:

[tex](-6_{x},-1_{y})\\\\-1=-\frac{2}{3} (-6)+b[/tex]

Simplify multiplication using the rule [tex]\frac{a}{b} *c=\frac{ac}{b}[/tex] :

[tex]-1=-\frac{2(-6)}{3} +b\\\\-1=-\frac{-12}{3} +b\\\\-1=\frac{12}{3} +b\\\\-1=4+b[/tex]

Use inverse operations to isolate the variable. Subtract 4 from both sides:

[tex]-1-4=4-4+b\\\\-5=b[/tex]

The y-intercept is -5. Insert:

[tex]y=-\frac{2}{3}x -5[/tex]

:Done

HELP NOW 15 Points!!!!!!!
Which expression is not equivalent to the other three?
2x + 2+ 2x + 3x – 8
4 + 7x – 2
–2 + 5x + 2x – 4
8x – x – 6

Answers

4 + 7x - 2
That is the different one.

Answer:

4+7x-2

Step-by-step explanation:

i dont know how nit is the anwser put i got it right

f(x)=2x+3 g(x)=x-4 Find (f+g)(2)
Please help asappp

Answers

Answer:

(f+g)(2)=5

Step-by-step explanation:

Subsitute 2 in for x in both functions. Then add the answers of the functions together.

Use the information on the right to determine which students will have positive z-scores. Aaliyah, who completed the exam in 55 minutes Benjamin, who completed the exam in 86 minutes Cynthia, who completed the exam in 72 minutes

Answers

Answer:

B and C, Benjamin and Cynthia.

Step-by-step explanation:

Next part (Cynthia's score) is 0.2

Answer:

Here's all the answers to the assignment! This is here to help future people in order to get a good grade on e2020! :)

Use the information on the right to determine which students will have positive z-scores.

Answer(s):

B) Benjamin, who completed the exam in 86 minutes

C) Cynthia, who completed the exam in 72 minutes

Cynthia’s z-score is

Answer) 0.2

A newborn who weighs 2,500 g or less has a low birth weight. Use the information on the right to find the z-score of a 2,500 g baby.

Answer) -2

What is the z-score of a newborn who weighs 4,000 g?

Answer) 1

What weight would give a newborn a z-score of −0.75?

Answer) 3125

In the United States, birth weights of newborn babies are approximately normally distributed with a mean of ? = 3,500 g and a standard deviation of ? = 500 g.

According to the empirical rule, 68% of all newborn babies in the United States weigh between

Answer(s) 3000 g and 4000 g

95% of all newborn babies in the United States weigh between

Answer(s) 2500 g and 4500 g.

99.7% of all newborn babies in the United States weigh between

Answer(s) 2000 g and 5000 g.

According to the empirical rule, 68% of 7-year-old children are between  

Answer(s) 47  inches and  51  inches tall.

95% of 7-year-old children are between  

Answer(s) 45  inches and  53  inches tall.

99.7% of 7-year-old children are between  

Answer(s) 43 inches and 55  inches tall.

Use the information given in the table on the right to complete each of the following statements.

Brenda is 50 inches tall. Her z-score is

Answer)  0.5

Zach has a z-score of –1.5. His height is  

Answer) 46  inches.  

Approximately 16 % of 7-year-old children are taller than 51 inches.

In the United States, birth weights of newborn babies are approximately normally distributed with a mean of  μ = 3,500 g and a standard deviation of  σ = 500 g.

What percent of babies born in the United States are classified as having a low birth weight (< 2,500 g)? Explain how you got your answer.

(Answers)

The z-score for 2,500 g is –2.

According to the empirical rule, 95% of babies have a birth weight of between 2,500 g and 4,500 g.

5% of babies have a birth weight of less than 2,500 g or greater than 4,500 g.

Normal distributions are symmetric, so 2.5% of babies weigh less than 2,500g.

every 5 days alma rides her skateboard in the park every 4 days she bikes to her best friends house how often does alma do both

Answers

Answer:

In what time frame. It asks how often she does both but does that mean in a week or another span of time?

Step-by-step explanation:

Write the equation of the line in slope intercept form given:
m = -6, b = 0

Answers

y = -6x

slope intercept form is y=mx+b, I’m sure you just plug in the numbers

which measurement is a reasonable height for a child? Explain your choice
A.
[tex]1.39 \times {10}^{2} cm[/tex]
B.
[tex]8.3 \times {10}^{5} cm[/tex]
C.
[tex]1.48 \times {10}^{1} m[/tex]

Answers

Answer:

A

Step-by-step explanation:

because a is 139cm and child is 139 cm not 830000 or not 1.48

A for sure
If you multiple 1.39 times 10 squared you get 139cm which is about 54in.


Write an absolute value inequality to represent each situation.

Two friends are hiking in Death Valley National Park. Their elevation ranges

from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie

Point. Let x represent their elevation in feet.

Answers

Answer:

║ x - 231 ║ ≤ 459

Step-by-step explanation:

Since we have 228 ft below sea level, this is x' = -228 ft. Also,  we have 690 ft above sea level, this is x" = 690 ft.

Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.

To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.

So, ideal value = [690 + (-228)]/2 = 462/2 = 231.

We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 =  [690 + 228)]/2 = 918/2 = 459.

Subtracting 231 from each value of the inequality we have

-228 - 231 ≤ x - 231 ≤ 690 - 231

-459 ≤ x - 231 ≤ 459

Since we have in magnitude the values on the left and right side of the inequality,

So ║ x - 231 ║ ≤ 459

Find the measure of each angle (help me please)

Answers

Answer:

<1=39 degrees

<2=141 degrees

Step-by-step explanation:

Detailed ans is in attachment

hope it helps:)

plz mark as brainliest

Answer:

x-38+x+64=180(supplementry angle)

2x+26=180

2x=180-26

2x=154

x=154÷2

x=77

Again,1st angle

x-38

77-38

39

2nd angle,

x+64

77+64

141

Find the measure of each numbered angle.

angle 1 is
angle 2 is
angle 3 is

Answers

Answer: 360

253

Step-by-step explanation:

Which of the following best explains the value of Sine StartFraction pi Over 3 EndFraction on the unit circle below?
A unit circle is shown. A radius with length 1 has an angle measure of StartFraction pi Over 3 EndFraction
sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the vertical distance from the x-axis on the graph.
sine StartFraction pi Over 3 EndFraction = StartFraction adjacent Over hypotenuse EndFraction = StartFraction adjacent Over 1 EndFraction Equals adjacent
The length adjacent to the angle is the vertical distance from the x-axis on the graph.
Sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFraction = StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the horizontal distance from the y-axis on the graph.
Sine StartFraction pi Over 3 EndFraction = StartFraction adjacent Over hypotenuse EndFraction = StartFraction adjacent Over 1 EndFraction Equals adjacent
The length adjacent to the angle is the horizontal distance from the y-axis on the graph.

Answers

Answer:

a. sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction  Equals opposite

The length opposite the angle is the vertical distance from the x-axis on the graph.

Step-by-step explanation:

sin (π/3) = opposite/hypotenuse = opposite/1; The length opposite the angle is the vertical distance from the x-axis on the graph.

What is the trigonometric ratio of unit circle?

Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.

The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).

Also, the terminal side intersect the circle at (x, y). Thus;

sin (π/3) = opposite/hypotenuse = opposite/1

Thus;

sin (π/3) = opposite

Also, the length opposite the angle is the vertical distance from the x-axis on the graph.

Read more about Unit circle at; https://brainly.com/question/4637991

what slope line passes through the points (-5,3) and (-3,8)

Answers

Answer:

5/2

Step-by-step explanation:

i aint never seen two pretty best friends, its always one em gotta be ugly

The slope of the line passing through (-5,3) and (-3,8) is 5/2.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

To find the slope of a line passing through two given points, we use the formula:

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

where m is the slope and[tex](x_1, y_1) ~and ~(x_2, y_2)[/tex] are the coordinates of the two points.

Plugging in the values given, we get:

[tex]m = \frac{8-3}{-3-(-5)} = \frac{5}{2}$$[/tex]

Therefore,

The slope of the line passing through (-5,3) and (-3,8) is 5/2.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Charlie graphs the equation y= –12x+2 .



Select all statements about Charlie's graph that are true.




The graph is a straight line.

The line does not pass through the origin.

The line passes through the point (0, –2) .

The slope of the line is 12 .

The y-intercept of the line is 2.

Answers

Answer:

The graph is a straight line.

The line does not pass through the origin.

The y-intercept of the line is 2.

Step-by-step explanation:

I know that it's a straight line because the equation is written in this format; y=mx+b (this is a linear equation meaning that it must be a straight line).  In that equation, m is our slope and b is our y-intercept with this information. I know that the y-intercept is 2 since this equation is this y= –12x+2 (the 2 replaced the b which is our y-intercept). The line does not pass through the origin because its y-intercept is 2 which means it's impossible for the line to pass through the origin. (I hope this makes sense)

Hope this helped you

Ixl help me please and thanks!!!!

Answers

Seeing that both triangles are side by side and share a side, we know that that side of both triangles is congruent.

Then when you look at the angles, you will see that one on each triangle has one curved line. This one curved line shows that these angles are congruent.

There is then the two curved lines you can find on both triangles as well. This shows that both those angles are congruent.

With this information, you should be able to tell that two angles of the triangles are congruent, and one side of both triangles are congruent, with the order that these are shown on the triangles being an angle, then a side, then another angle, the answer would be ASA, or angle, side angle.

Which of the following sequences is not a geometric sequence?

50, 25, 12.5, 6.25, …
6, -12, 24, -48, …
0, 2, 4, 6, …
-1, -3, -9, -27, …

Answers

Step-by-step explanation:

the third sequence(0,2,4,6) is not a geometrical sequence

this may help you(:

Answer:

0, 2, 4, 6, …  because the following sequence is arithmetic not geometric

Parker is in the business of manufacturing phones. He must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The equation C=175p+400 can be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the y-intercept of the equation and what is its interpretation in the context of the problem?

Answers

9514 1404 393

Answer:

  400; building and equipment fixed cost

Step-by-step explanation:

The cost equation has two terms. The constant term (400) is the daily fixed cost of building and equipment. The variable term (175p) represents the cost of producing p phones.

The y-intercept is 400. It is the daily fixed cost of the building and equipment.

Answer:

The y-intercept of the function is 400 which represents the fixed cost for rent and equipment.

Step-by-step explanation:

Since Parker must pay $400 even to make 0 phones, that means $400 is the fixed cost that Parker must pay for rent and equipment regardless of the number of phones produced.

Have a good day :)

Consider the line y = 2x–4.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Parallel slope = 2

This is because the original line has slope 2. Parallel lines have equal slopes.

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

Perpendicular slope = -1/2

The original slope 2 or 2/1 turns into -1/2 after flipping the fraction and the sign. Note the original slope and perpendicular slope multiply to -1. This is true for any pair of perpendicular lines where neither line is vertical.

Answer:

the slope of  the parallel line is 2x

the slope of line perpendicular is -1/2

Step-by-step explanation:

I need help with this question.

Answers

Answer:

[tex]\displaystyle S_{27}=675[/tex]

Step-by-step explanation:

The sum of N consecutive natural numbers is given by:

[tex]\displaystyle S_N=\frac{N}{2}(F+L)[/tex]

We need to find the sum of the natural numbers between 12 to 38.

To calculate the required sum we have F=12, L=38, but we don't have the value of N.

From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.

Substituting in the formula:

[tex]\displaystyle S_{27}=\frac{27}{2}(12+38)[/tex]

[tex]\displaystyle S_{27}=\frac{27}{2}(50)[/tex]

[tex]\displaystyle S_{27}=27*25[/tex]

[tex]\mathbf{\displaystyle S_{27}=675}[/tex]

Please help, explain if you know???????

Answers

Answer:

4.5 units²

Step-by-step explanation:

(b × h) (.5)

(3 × 3) (.5)

Some paint is made by mixing 3 cans of white paint to 7 cans of green paint. How many cans of white would you mix with 21 cans of green to keep the colour the same?

Answers

Well to get to the point
21 / 7= 3
So I then would multiply the 3 by 3 which would give me 9
And just to check your answer 7 x 3 is 21
So your answer would be 9

If the circumference of a circle is 41.8 feet, find the diameter of the circle.

Answers

Answer:

= 6.65605095

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

The screenshot is the correct answer

Step-by-step explanation:

Jennifer walks 3/4 mile in 1/4 hour, and Gavin walks 1/8 mile in 1/12 hour. Part A. What is Jennifer's walking rate, in miles per hour? Part B. What is Gavin's walking rate, in miles per hour? Part C. Jennifer and Gavin both plan on walking 4.5 miles, and they want to finish at the same time. If Gavin starts walking at 1:00 pm, at what time should Jennifer start walking? Use words, numbers, and/or pictures to show your work. Write your answer(s) on the paper provided.

Answers

Answer:

Step-by-step explanation:

Part A: 3/4 divided by 1/4= 3/4 * 4/1 = 3, Jennifer walks 3 miles per hour.

Part B: 1/8 divided by 1/12= 1/8 * 12/1 = 1.5 or 1 and 1/2 miles per hour

For Part C I dont know, Sorry guys

Last year, Lashonda opened an investment account with $7200 . At the end of the year, the amount in the account had decreased by 24.5% .How much is this decrease in dollars? How much money was in her account at the end of last year?

Answers

Answer:

1. $17642. $5436

Step-by-step explanation:

Step one:

given data

Initial account balance=  $7200

we are told that the decrease was by 24.5%

Step two:

1. How much is this decrease in dollars?

let us solve for 24.5% of   $7200

=24.5/100*7200

=0.245*7200

=1764

the decrease is $1764

2. How much money was in her account at the end of last year?

the final account balance is

=7200-1764

=$5436

A​ scratch-off lottery ticket has 14 concealed spaces among which are 4 symbols saying​ "Win!". The person who bought the ticket scratches the black yucky stuff off 3​ spaces, winning an instant​ $10 if all three are winners.​ What's the probability of winning this​ game? I'm confused about this please help!

Answers

Answer:

Step-by-step explanation:

since this has something to do with chance im guessing maybe percentage of winnign this

so

4/14 x 100 so 28.57% probability of winning this game i believe

Exact answer as a fraction = 1/91

Approximate answer in decimal form = 0.010989

Approximate answer in percent form = 1.0989%

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

Explanation:

Let's think of the problem another way.

Let's say that we have 14 ping pong balls labeled 1 through 14. Furthermore, lets set up the first four balls {1,2,3,4} to be labeled with a star sticker. The rest don't have a star. The star stickers indicate a winning ball. All of the ping pong balls are then put into a bag where we will randomly pull out 3 of them. Replacements will not be made (ie the ball won't be put back). The goal is to get 3 star stickers in a row.

One possible combination is {1,2,7} which is close but not a winner since that 7 is there. Another possible combination is {5,8,12} which is not even close to a winner (since we didn't get 1,2,3 or 4).

---------

We have two questions we need to answer:

How many possible combinations are there? How many combinations are a winner?

We'll use the nCr combination formula

[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]

We use the combination formula, instead of the permutation formula, because order does not matter. Something like {1,2,7} is the same as {7,1,2}.

If you plug in n = 14 and r = 3, you should find that 14 C 3 = 364.

I'll list the steps in the attached image below (to save space here).

This means there are 364 different ways to play the game. In other words, there are 364 ways to pull out three ping pong balls.

---------

That wraps up question 1. Now onto question 2.

We have 4 winning balls and 3 slots to fill, so we will plug n = 4 and r = 3 into the combination formula. I'll skip the steps because they're fairly similar to earlier. You could also use Pascal's Triangle to help. Whichever method you use, you should find that 4 C 3 = 4.

note: we have 4 winning balls and 3 slots to fill, so you can think of it like "how many ways are there to not choose a ball?" and that answer would be 4.

So this means there are 4 ways to win the game.

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

In summary so far, we found

There are 364 ways to play the gameThere are 4 ways to win the game

This means the probability of winning is 4/364 = 1/91

Use your calculator to find that 1/91 = 0.010989 approximately which converts over to the approximate percentage of 1.0989%

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