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

A person with a mental age of 21 and a chronological age of 20 has an IQ of 105. What is the chronological age of a person with a mental age of 35 and an IQ of

Answers

Answer:

The answer is "25 years".

Step-by-step explanation:

In the question the value of IQ is missing that is = 140

Given value:

IQ= 140

MA=35

CA=?

Formula for calculating the chronological age:

[tex]\to CA = (\frac{MA}{IQ})\times 100[/tex]

          [tex]= (\frac{35}{140})\times 100\\\\ = \frac{35}{14}\times 10\\\\=2.5 \times 10\\\\= 25[/tex]

Shawn uses 45N of force to stop the cart 1 meter from running his foot over. How much work does he do?​

Answers

Answer:

[tex]\boxed {\boxed {\sf 45 \ Joules}}[/tex]

Step-by-step explanation:

Work can be found by multiplying the force by the distance traveled in the direction of the force.

[tex]W=F*d[/tex]

The force is 45 Newtons.

The distance traveled is 1 meter.

[tex]F=45 \ N \\d= 1 \ m[/tex]

Substitute the values into the formula.

[tex]W=45 \ N * 1 \ m[/tex]

Multiply.

[tex]W=45 \ N*m[/tex]

1 Newton meter is equal to 1 Joules.

Therefore our answer of 45 Newton meters is equal to 45 Joules.

[tex]W= 45 \ J[/tex]

The work done is 45 Joules.

Step-by-step explanation:

[tex]\sf Required\:Answer\begin{cases} \sf Force_(f)=45N \\ \sf Distance_(d)=1m \\ \sf As\:we\:know\:that \\ {\boxed{\sf Work_(w)=Force_(f)\times Distance_(d)}} \\ \sf W=45 \times 1Nm \\ \sf =45Nm \\ \longrightarrow {\underline{\boxed{\bf W=45Joule}}}\end {array}[/tex]

I need help. Please.

Answers

Answer: yes

Step-by-step explanation:

If you have the dots in different places that are moveing around have the quad’s multiple or divide that means it have there own function.

S = ut + 1/2 at squared


U = 10 a= -2 t = 1/2


What is the value of S?

Answers

Answer:

S = [tex]\frac{19}{4}[/tex]

Step-by-step explanation:

Given

S = ut + [tex]\frac{1}{2}[/tex] at² ← substitute given values into expression

S = (10 × [tex]\frac{1}{2}[/tex] ) + ([tex]\frac{1}{2}[/tex] × - 2 × ([tex]\frac{1}{2}[/tex] )² )

   = 5 + (- 1 × [tex]\frac{1}{4}[/tex] )

   = 5 + (- [tex]\frac{1}{4}[/tex] )

   = 5 - [tex]\frac{1}{4}[/tex]

    = [tex]\frac{19}{4}[/tex]

A recipe calls for a total of 3 and two-thirds cups flour and sugar. If the recipe calls for One-fourth cup of sugar, how much flour is needed?

Answers

Given:

A recipe calls for a total of 3 and two-thirds cups flour and sugar respectively.

To find:

The flour needed if the recipe calls for one-fourth cup of sugar.

Solution:

According to the question,

[tex]\dfrac{2}{3}[/tex] of sugar needs 3 cups of flour.

[tex]1[/tex] of sugar needs [tex]\dfrac{3}{2}\times 3[/tex] cups of flour.

[tex]\dfrac{1}{4}[/tex] of sugar needs [tex]\dfrac{1}{4}\times \dfrac{3}{2}\times 3[/tex] cups of flour.

Now,

[tex]\text{Required flour}=\dfrac{1}{4}\times \dfrac{3}{2}\times 3[/tex]

[tex]\text{Required flour}=\dfrac{9}{8}[/tex]

Therefore, the required flour is [tex]\dfrac{9}{8}[/tex] cups.

Henry puts 19 candies in each gift bag. He uses 551 candies. How many gift bags did he fill?

Answers

Answer:

29

Step-by-step explanation:

551/19=29

A recipe states that 5 servings of peanuts have 1,250 calories. Write an equation to represent the relationship between the number of calories (c) and thenumber of servings of peanuts

Answers

dont care idiot hahahahahahahahahah

The figures below are similar. Find the length of the missing side.
7
91
91
11
7
х
4
52
X=

Answers

Answer:

63 is this right?

Step-by-step explanation:

10 x 9 = 90

so 7 x 9 = 63

hey bro's help me!!​

Answers

Answer:

3x+10

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

the probability is 1/2

Your Point
Here is your ordered pair plotted as a point, together
with the linear equation 2
(If you can't see your point, maybe you didn't type it
correctly, or maybe it's outside the graph window.)
Is your ordered pair correct? How do you know?
Yes
NO
a Explain your thinking
Submit

Answers

Answer:

I know my ordered pair is correct because it's on the line.

Yes, the ordered pairs are accurate as estimated by our theoretical calculations.

What is the graph?

A graph, which is a mathematical representation of a network, describes the relationship between lines and points. A graph is made up of a few points and the arcs that connect them. Neither the location of the points nor the length of the lines matters.

Given that, the equation of a line is y=x+2.

Substitute x=0, 1, 2, 3, 4, 5 and 6 in the equation y=x+2, we get

y = 2, 3, 4, 5, 6, and so on.

So, the coordinate points are (0, 2), (1, 3), (2, 4), (3, 5) and (4, 6).

In the obtained graph, we got the points (0, 2), (1, 3) and (2, 4), they are accurate as we calculated.

Yes, the ordered pairs are accurate as estimated by our theoretical calculations.

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

Here is your ordered pair plotted as a point, together with the linear equation y=x+2

(If you can't see your point, maybe you didn't type it

correctly, or maybe it's outside the graph window.)

Is your ordered pair correct? How do you know?

Celeste is making fruit baskets for her service club to.
take to a local hospital. The directions say to fill the
boxes using 5 apples for every 6 oranges. Celeste is
filling her baskets with 2 apples for every 3 oranges.
Is Celeste using the correct ratio of apples to oranges?

Answers

Answer:

c

Step-by-step explanation:

The figure was created by repeatedly reflecting triangle NMP. A figure is created by continuously reflecting triangle N M P. The length of side N M is 6 inches, the length of side M P is 4 inches, and the length of side N P is 8 inches. What is the perimeter of the figure? 36 in. 42 in. 44 in. 48 in.

Answers

Answer:

42in

Step-by-step explanation:

just took quiz

Answer:

42 100% edg

Step-by-step explanation:

as we can see form the digram if you put it in a more relistic way 42 would dend up there for 42

Which expression is equivalent to 6x2 – 19x – 55?

Answers

Answer:  (x - 5)(6x + 11)

Step-by-step explanation:

Let's factorie the given expression using middle term splitting method.

Thus, we have ;

=> 6x² - 19x - 55

=> 6x² - 30x + 11x - 55

=> 6x(x - 5) + 11(x - 5)

=> (x - 5)(6x + 11)

Hence,

The equivalent expression of 6x² - 19x - 55 is :

(x - 5)(6x + 11).

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

I will give brainliest if u actually answer please I'm in a hurry ​

Answers

Answer:

the first one is c 2x+y=7/ the second one y=2x+7

Step-by-step explanation:

y= -2x +7 so slope good

subtract 10 for the x variable -3 so 5,-3 and your good.

use y2-y1 over x2-x1 and you find 2x and see that 0,7 is slope.

84 is 35% of which of the following value

Answers

Answer:

28.56

Step-by-step explanation:

Feel free to give brainliest.

Have a great day!


1) The sum of two consecutive integers is greater than 21. Find the smallest possible values for the integers.

Answers

i can help

i think it is 10 and 11

The smallest possible values for the integers will be 11 and 12.

What exactly is simplification?

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

Let the two consecutive integers will be x and y.

From the given conditions the sum of two consecutive integers is greater than 21;

x+y>21

11 and 12 are the only two consecutive digits has the sum of 21.

11+12>21

22>21

Hence, the smallest possible values for the integers will be 11 and 12.

To learn more about the simplification, refer to:

https://brainly.com/question/23509407

#SPJ2

Give the Domain and Range for each of the following.
f(x) = {(-2,0); (3,8); (-5, 10); (0,3)}

Answers

Answer:

The Domain are -2,3,-5,0

The Range are 0,8,10,3

Can Anybody help please?

Answers

Step-by-step explanation:

CA is the another name of of AC

Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she sees the third mile marker ,she realizes that she has been biking for 30 minutes. What is the rate at which she is riding?

Answers

Answer:

hence, she is riding [tex]\frac{2}{15}[/tex] miles per minute

Step-by-step explanation:

The computation of the rate at which she is riding is shown below:

Given that

Rita covered 1 mile in 15 minutes.

And, her covered 3 miles in 30 minutes.

Now

Let us assume the number of miles covered would be in x minutes

So for one miles the point would be (15,1)

And for three miles, the point is (30,3)

Now the slope of the line is

m equal to

[tex]\frac{y_2 - y_1}{x_2 - x_1} \\\\\frac{3 - 1}{30 - 15} \\\\\frac{2}{15}[/tex]

hence, she is riding [tex]\frac{2}{15}[/tex] miles per minute

plz solve anyone question​

Answers

Here you go. Should be solved

is a 4 sided polygon a rectangle

Answers

Answer: A rectangle is a 4-sided polygon where all four of its angles are right angles. Normally, the longer side is called the length and the shorter side is called the width. If all the sides are of equal length then it will be called a square. Area of rectangle = length × width.

Exlpination: A polygon is a closed figure with three or more straight sides. For example, a triangle is a polygon with three sides, a rectangle is a polygon with four sides, and a pentagon is a polygon with five sides.

Answer:

its a rectangle yea have a nice time

The points (20, 80) and (30, 120) form a proportional relationship. What is the slope of the line that passes through these points?

Answers

Slope = (y2-y1)/(x2-x1)
(120-80)/(30-20)
= (90)/(10) = 9
The slope is 9

Help me with this problem

Answers

Answer:

D. SSS

Step-by-step explanation:

Both sides are shown equal and it shares a side so that side is equal. Side Side Side.

Answer:

SSS

Step-by-step explanation:

Triangles are congruent by SSS postulate of congruence.

1
2
3
23. Short Answer--- Emily slid down She
the sliding board at the park. A. top
Where did Emily have the most bott
potential energy? B. Where did
Emily have the most kinetic
energy?.
I need help with this plz

Answers

Answer:

Most kinetic energy on the top


M
6x-18
3x
J
B
K
Find the value of x

Answers

Answer: The value of x is 0.5?

Step-by-step explanation:

A small-town newspaper examines its daily circulation. Last week, it sold 200 newspapers daily. This week, it sold 186 newspapers daily. Part A: What is the percent decrease in the newspaper's circulation since last week? Part B: If circulation decreases by the same percent next week, what will the daily circulation be?

Answers

Answer:

7%

173

Step-by-step explanation:

Given that :

Daily sales last week = 200

Daily sales this week = 186

% decrease in newspaper circulation :

(Decrease / initial amount) * 100%

((200 - 186) / 200) * 100%

(14 / 200) * 100%

0.07 * 100%

= 7%

Part B: If circulation decreases by the same percent next week, what will the daily circulation be?

7% decrease the following week :

(100% - 7%) of 186

93% * 186

0.93 * 186

= 172.98

= 173

Please help me with my homework!!!!

Answers

Answer:

1. m = 5    2. v = -19    3.  x = 10

4. x = 3     5. x = 32     6. x = -50

Step-by-step explanation:

My mom told me I know everything :D

Question 13 (1 point)
03.OSLO
What is the volume of a sphere with a radius of 6 inches?
1120 cubic inches
2880 cubic inches
2900 cubic inches
3000 cubic inches

Answers

Answer:

V=904.78 in^3

Step-by-step explanation:

V=4/3pir^3=4/3.pi.6^3=904.77868in^3

Hey my old account is ilikebug it got into minus points somehow so this is my new account

Answers

Answer: Hi hope your new account doesn't malfunction.

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