A line has a slope of
1/4
and passes through the point (0.2,
4/5


Find the value of b, the y-intercept.


b = ???

Answers

Answer 1

Answer:

b = 3/4

Step-by-step explanation:

Using point slope: y - y1 = m(x - x1).

Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.

0.2 = 1/5, so 1/5 * 1/4 = 1/20

Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4

Answer 2

b = 3/4

Using point slope: y - y1 = m(x - x1).

Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.

0.2 = 1/5, so 1/5 * 1/4 = 1/20

Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4


Related Questions

An office building has three air conditioning units, one for each office. Each unit runs only when employees are
working. The tables below show the number of hours employees worked at each office over a three-month period
and the total air conditioning electric costs for the entire office for each month.
June
July
August
Number of Hours Worked
Unit A
Unit B
184
207
174
198
168
189
Unit C
276
264
242
w
Total Air Conditioning Electric Costs
June
$142.60
July
$135.96
August
$128.30
How much does it cost to run Unit A per hour?

Answers

Answer:0.22

Step-by-step explanation:

Answer:$0.22

Step-by-step explanation:

EDGE

how do you find the = in alterndte exterior angles

Answers

Answer:

To find alternate exterior angles, look at that outside space for each crossed line, on different sides of the transversal.

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

You have to find the transversal. Then you have to the interior and exterior angles, and then find it!

What is m<1?
Plzzz I need help

Answers

Answer:

130 bc its the alternate exterior angle of angle D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

interior angle for triangle is 180 if you want to find it you have to find interior angle for d and then 180-70-the interior angle for d and then you will get answer for b2 and then 180-b2 and you will get 120

what is the sum of the place values of the number 6,453​

Answers

Answer:

Thousands Hundreds Tens Ones

          6                      4                    5             3

Step-by-step explanation:

Number x Multiplier = Value

   6           x         1,000            6,000

   4           x           100              400  

   5           x            10                       50

   3           x             1                        3

Add up all of the values and you get 6,453.

write an expression for each phrase. *will give BRAINLIEST*

5 times the quantity x plus 6

&

32 divided by the quantity y+12

Answers

Answer:

5 times the quantity x plus 6

5x + 6

32 divided by the quantity y + 12

[tex]\frac{32}{y+12}[/tex]

Step-by-step explanation:

Pls do mark me brainliest:)

It can be interpreted in two ways:
32
y
+
12

or

32
y
+
12

Explanation:
The statement does really indicate clearly enough what is meant.
It could be interpreted as:
32
divided by,
y
plus
12

which would mean that
32
is divided by the sum of
y
and
12

32
y
+
12

OR
It could be read as
32
divided by
y
, plus
12

32
y
+

is X -3 + Y3 in the simplest form

Answers

Answer:

I believe it's Y but I'm not 100 percent sure

Franco read of a chapter of his history book in § of an hour. At this rate, how many chapters of his history book
can he read in 1 hour?

Answers

Answer:

1 7/8

Step-by-step explanation:

dont know lol but trust me

James went to the amusement park. He had $20. He spent $5.50 on a hamburger and
$1.25 on a bottle of apple juice. He spent the rest of the money on rides. Each ride costs
$.75. On how many rides did James go?
Please it’s urgent, write the steps.

Answers

Answer:

17

Step-by-step explanation:

5.50 + 1.25 = 6.75

20 - 6.75 = 13.25

13.25 / .75 = 17

he will have $0.50 left

Answer:

I know about your account Logridio.  I don't know if I should tell Ms. Rragami. ;)

Can anyone tell me what the correct answer for this is? Thank you.

Answers

Answer:

3x^2-5x-2

Step-by-step explanation:

(9x^3-18x^2-x+2)÷(3x-1)

[9x^2(x-2)-(x-2)]÷(3x-1)

[(x-2)×(9x^2-1)]÷(3x-1)

(x-2)×(3x-1)×(3x+1)÷(3x-1)

(x-2)×(3x+1)

3x^2-x-6x-2

3x^2-5x-2

What is the slope of the line that passes through the points (-8, -6) and (-18, 6) ? Write your answer in simplest form.

Answers

Answer:

y=12/10-15.6

Step-by-step explanation:

The slope of the line is [tex]-\frac{6}{5}[/tex].

To understand more, check below explanation.

Slope of line:

The slope of line passing through [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is computed as,

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

Given that , points are (-8, -6) and (-18, 6)

So that,

               [tex]Slope=\frac{6-(-6)}{-18-(-8)}\\ \\Slope=\frac{12}{-10}\\ \\Slope=-\frac{6}{5}[/tex]

Hence, the slope of the line is [tex]-\frac{6}{5}[/tex].

Learn more about the slope of line here:

https://brainly.com/question/3493733

What is 5g When is g Is 3?

Answers

Answer:

15

Step-by-step explanation:

5g

g becomes 3, so 5*3

=15

Answer:

15

Step-by-step explanation:

5g g=3

5(3)

15

Can anyone help?

Solve for x. SHOW YOUR WORK.

Answers

Answer:x=9

Are you in K12 as well ? If so do you have Mrs.Bisslessi I need help with Unit 4.07 the four spheres of earth

Step-by-step explanation:

4x+2=7x-25

2+25=7x-4x

27=3x

X=27 ÷3

X=9

Slove 4(5x-2)= 2(9x+3)

Answers

Answer:

x=7

Step-by-step explanation:

divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.

Answer:

x = 7

Step-by-step explanation:

Firstly, use the distributive property to distribute the 4 and the 2 respectively.

[tex]4(5x-2) = 2(9x+3)[/tex]

[tex]20x-8=18x+6[/tex]

Then, isolate the variable. Start by subtracting 18x from both sides.

[tex]2x - 8 = 6[/tex]

Add 8 to both sides.

[tex]2x = 14[/tex]

Divide both sides by 2.

[tex]x=7[/tex]

PLEASE HELP ME what are the slope and the y- intercept of the liner function that is represented by the graph.​

Answers

The second one . You go from the x axis which is horizontal then you go to the y axis which is the straight line . And look at the points . 4/3 is the answer .

estimate the value of 9.9²x1.79

Answers

Answer: Not necessarily an estimate but your answer should be 175.4379 in decimal form.

can someone help simplify this 6n+5(10n−7)

Answers

Answer:

21n-35

Step-by-step explanation:

6n+5(10n-7)

distribute 5

6n+15n-35

add 6 and 15

21n-35

you cant subtract 21 and -35 because they arent like terms

What is -5/8 + 3/4 ?

Answers

Answer:

0.125

Step-by-step explanation:

Find the approximate side length of a square game board with an area of 105 square inches

Answers

Answer:

I just did gor the points

Step-by-step explanation:

sorry

I think it is 10. As normally It would be 10.247 to 3dp. But I think you only need it to 1s.f so it should be 10

Line a is perpendicular to line b, and neither line is vertical. Which statement(s) below are TRUE? I: The slopes of line a and line b are the same. II: One line has a positive slope, the other line has a negative slope. III: Line a and line b will never intersect. IV: The slope of one of the lines is undefined.

Answers

Answer: One line has a positive slope, and the other has a negative slope.

Step-by-step explanation: When lines are perpendicular, that means their slopes are the exact opposite of each other because they intersect at a right angle.

The value of y varies directly with x. When y=30, x=0.75. What is the value of y when x=5.25?

Answers

Answer:

210

Step-by-step explanation:

According to this question, y varies directly with x. Mathematically, This means that:

y =kx

Where k is the constant variable

If y=30 and x=0.75, then k will be;

k = y/x

k = 30/0.75

k = 40

Since k = 40,

y = 40x

Therefore, when x=5.25, the value of y will be:

y = 40x

y = 40 × 5.25

y = 210.

Which of the following statements is FALSE?
All rectangles are parallelograms.
All kites are rectangles.
All parallelograms are quadrilaterals.
All squares are rhombuses.

Answers

ALL KITES ARE RECTANGLES

Answer:All kites are rectangles.

Step-by-step explanation: Just did the quiz

Jill spends $525 for monthly bills. Of this amount she spends 110 on her cell phone bill and 25% on her car payment. The remainder pays her utilities. How much money does she spend on utilities?

Answers

Answer:

283.75

Step-by-step explanation:

  525/4=131.25

131.25+110=241.25

525-241.25=283.75

Suppose brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt. The brine enters the tank at a rate of 5L/min. The mixture, kept uniform by stirring, is flowing out at the rate of 5 L/min. (The same conditions as in the previous problem). After 10 min, a leak develops in the tank and an additional liter per minute of mixture flows out of the tank.

(a) Find the concentration, in kilograms per liter, of salt in the tank after 10 min. [Hint: Let A denote thenumber of kilograms of salt in the tank at t minutes after the process begins and use the fact that rate of increase in A = rate of input - rate of exit.

(b) After 10 min, a leak develops in the tank and an additional liter per minute of mixture flows out of the tank. What will be the concentration, in kilograms per liter, of salt in the tank 20 min after the leak develops?

Answers

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

Calculating the salt concentration per liter of water we will find:

(a) [tex]0.288 kg/liter[/tex]

(b) [tex]0.061408 kg/liter[/tex]

The mass of salt entering the tank per minute:

[tex]X= (0.2)( 5) = 1 kg/minute[/tex]

The mass of salt exiting the tank per minute:

 [tex]\frac{5 * (5 + x)}{500}[/tex]

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;  

[tex]\frac{\Delta}{dt} = \frac{x - 5 * (5 + x)}{500}[/tex]

The increase, in mass, Δ, after an increase in time, dt, is therefore;

[tex]\Delta = (x - 5 * (5 + x)/500)dt[/tex]

Integrating with a graphing calculator, with limits 0 at 10, gives;  

[tex]\Delta = (99X - 5)/10[/tex]

Substituting x = 1 gives:

[tex](99)( 1 - 5)/10 = 9.4 kg[/tex]

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank). The concentration of the salt and water in the tank after 10 minutes:

[tex](5 + 9.4)/500 = (14.4)/500 = 0.288[/tex]

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter.

(b) With the added leak, we now have;

[tex]\frac{\Delta}{dt} = \frac{ (x - 6 ) (14.4 + x}{500} \\\Delta = \frac{(x - 6)(14.4 + x)}{500} dt[/tex]

Integrating with a graphing calculator, with limits 0 at 20, gives;

[tex]\int\limits^{20} _0 {\frac{(x - 6)(14.4 + x)}{500} dt}[/tex]

Where x = 1:

[tex]\Delta = 19.76(1) -3.456 = 16.304[/tex]

The increase in mass after an increase in = 16.304 kg. The total mass:

[tex]16.304 + 14.4 = 30.704 kg[/tex]

The concentration of the salt in the tank then becomes;

[tex]30.704/500 = 0.061408 kg/liter[/tex]

Learn more: brainly.com/question/11762787

Someone plz answer

the school jimmy goes to is selling tickets to a fall musical. om the first day of ticket sales the school sold 9 adult tickets and 14 child tickets for $101. The school took in $88 on the second day by selling 12 adult tickets and 7 critical tickets. What is the price each of one adult ticket and one child ticket.

Answers

Answer:

if my math is correct it is $4.39

Step-by-step explanation: do not fully trust this

Graph: Y-3 =1/2(x+2)

Answers

Answer:

It will pass in between (-8,0) on the x-axis and (0,4) on the y axis

Step-by-step explanation:

Here is the picture, if you ever need help go to desmos.com.

Karen is taking a standardized test. The more questions she answers correctly, the greater her final test score will be.


Which of the variables is independent and which is dependent?

Independent
[ Select ]

Dependent
[ Select ]

Answers

Step-by-step explanation:

independent is questions answered correct

dependent is final test sore.

i think

independent is the correct scores. dependent is the final score

(-5)- 2 x (-9) + 6
i need the answer asap

Answers

Add − 9 and 6.

[tex]- 5 - 2x, -3[/tex]

how do you Factor in algebra 2?

for example:
r^2-r-20
and
x^2+8x+12

Answers

(r-5)(r+4)

(x+6)(x+2)

Step-by-step explanation:

1 r^2 - 1 r - 20

multiply the first and third terms

-20 times 1 equals -20. take the -1

*what are two numbers that multiply together that equals -20 but add to equal -1?

-5 times 4 equals -20

-5 plus 4 equals -1

(r-5)(r+4)

1 x^2 + 8 x + 12

multiply the first and third terms

12 times 1 equals 12. take the 8

*what are two numbers that multiply together that equals 12 but add to equal 8?

6 times 2 equals 12

6 plus 2 equals 8

=(x+6)(x+2)

Callie reads 5 pages in 20 minutes. She spends the same amount of time per page.
How long will it take Callie to read 11 pages?
A.50 minutes
B.23 minutes
C.44 minutes
D.65 minutes

Answers

Answer:

44

Step-by-step explanation:

You said it

You want to rent a limousine for a trip to the city. The limo costs $700 for the night and $0.15 per mile. You want to spend less than $750 dollars. How many miles can the limo travel?

Answers

Answer: For $750 the limo can travel 333 miles rounded to the nearest mile.

Step-by-step explanation: The formula for solving this problem is:

is the total cost - $750 for this problem

is the fixed cost - $700 for this problem

is the variable rate cost - $0.15 per mile for this problem

is the number of miles traveled - what we are solving for in this problem.

Substituting and solving for

For $750 the limo can travel 333 miles rounded to the nearest mile.The formula for solving this problem is:

is the total cost - $750 for this problem

is the fixed cost - $700 for this problem

is the variable rate cost - $0.15 per mile for this problem

For $750 the limo can travel 333 miles rounded to the nearest mile.

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