Write an equation in point slope form of the line graphed below. (Use the right hand point)
Answers
Answer:
y+1=1/2(x-1)
Step-by-step explanation:
The point is (1,-1) and the slope is 1/2, so you plug in the number in the blanks y-___=___(x-___). The y in the first the slope in the second and the x in the third.
The equation is in slope-intercept form y = -x/4 -3/4
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
A graph of the line.
Assuming the graph measurement is 1 unit.
Then we interpreted two points (-1, 1) and (3, 0).
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
y - 1 = (-1/4)(x + 1)
y - 1 = -x/4 -1/4
y = -x/4 -3/4
Therefore, the equation is y = -x/4 -3/4
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Related Questions
Simplify the expression
Answers
Answer:
B
Step-by-step explanation:
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]
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A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. Without
looking, what is the probability that Fiona pulls out a marble that is not white?
Answers
Answer:
85%
Step-by-step explanation:
The probability that Fiona pulls out a marble that is not white from a bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.
What is the probability of an event?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.
A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. The total number of marbles in the bowl is,
[tex]n=5+2+10+3\\n=20[/tex]
The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,
[tex]P=\dfrac{3}{20}[/tex]
The probability that Fiona pulls out a marble that is not white is,
[tex]P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}[/tex]
Thus, the probability that Fiona pulls out a marble that is not white from a bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.
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cost of an oil change: $14.50
mark up 50%
Answers
Answer:
$21.75
Step-by-step explanation:
Convert 50% markup into decimal
1.5
then calculate
14.50 × 1.5
21.75
Cost of oil change with markup is $21.75
Hope this helps!
Have a nice day!
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Pls consider marking my answer as Brainliest! It would mean a lot!
If f(1) = 1, what is f(3)?
Answers
Answer:
would be 3
Step-by-step explanation:
if 1 is 1 ,3 would be 3 ;-;
1. What is the slope of the line that contains the
points (13, -2) and (3,-2)?
A.-2/5
B.0
C.-5/2
D. undefined
Answers
Answer:
the answer is B
Step-by-step explanation:
Answer:
b. the slope is 0
Step-by-step explanation:
If two angles are adjacent, then they have a common ray
Answers
Answer:
There are some special relationships between "pairs" of angles. Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. (They share a vertex and side, but do not overlap.) ... A Linear Pair is two adjacent angles whose non-common sides form opposite rays.
Step-by-step explanation:
Covert 45 1/2 % to a fraction
Answers
need help pease its due at 11;59pm today explian
Answers
Answer:
65
Step-by-step explanation:
you add all the numbers inside.
80+35= 115
You have to make sure it equals to 180 to find angle 1.
Therefore, 180-115=65.
Can someone help me with this please???
Answers
Step-by-step explanation:
hope this could help you!!! Good luck!!
The teacher separated her group of 28 students into 2 groups. One group has 4 more than twice as many students as the other group. How many students are in each group?
Answers
Answer:
one group has 12. one has 16. 12 + 16 = 28. 16 is 4 more than 12
Kieran made 42 pizzas while working 7 hours at Sam's. If Kieran has made
60 pizzas so far, how many hours has he been working at Sam's today?
Answers
Answer:
answer is 10hours
42pizzas= 7hours
60pizzas =xhours
x hours =(60*7)/42
x hours = 10 hours
PLEASE ANSWER QUICKLY ITS TIMED
A sphere has a diameter of 10 in. What is the volume of the sphere?
A. V=125/3 in cubed
B. V=500/3 in cubed
C. V=500/3 pi cubed
D. V= 4000/3 pi cubed
Answers
Answer:
V≈523.6in³
d Diameter
Step-by-step explanation:
so its b
2\3n = -12 what value of n makes this equation true
Answers
Answer:
-0.055555555555556
Step-by-step explanation:
Every Friday, Jesse puts $3 into his piggy bank. is it discrete or continuous?
Answers
Answer:
I would think continuous if she does it constantly every friday night
Step-by-step explanation:
Answer:
continuious
Step-by-step explanation:
A rectangle has a length that is 4 ft more
than its width. What are the length and
width of the rectangle if the rectangle has
a perimeter of 48 ft?
Answers
Answer:
length = 14 width = 10
Step-by-step explanation:
48/4=12
10+10+14+14=48
Length = L = 14 ft
P = perimeter = 48 ft
Explanation:
P rectangle = 2L+ 2W
L = W + 4
P = 48
Substitute into formula:
P rectangle = 2L + 2W
48 = 2( W + 4 ) + 2W
48 = 2W + 8 + 2 W
48= 4W + 8
48 - 8 = 4W
40 = 4W
W = 40/4 = 10
W = 10
The rectangle has a length that is 4 ft more than its width : L = W + 4
Substitute : L = 10 + 4 = 14
L = 14 ft
I hope this help!!!
The photo shows an overhead view of airport runways. Determine whether each pair of lines appear to be parallel or perpendicular
Parallel or perpendicular
Lines 2 and 3
Lines 1 and 3
Lines 1 and 2
Answers
Answer:
Lines 2 and 3
Step-by-step explanation:
Lines 2 and 3 are parallel lines.
Lines 1 and 3 are perpendicular lines.
The lines 1 and 2 are perpendicular lines.
What are parallel lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.
Given:
The photo shows an overhead view of airport runways.
Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.
Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.
From the diagram,
Lines 2 and 3 are parallel lines.
Lines 1 and 3 are perpendicular lines.
The lines 1 and 2 are perpendicular lines.
Therefore, lines 2 and 3 are parallel lines and lines 1 and 3 and lines 1 and 2 are perpendicular lines.
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I need some help on this problem.
Answers
Answer:
It would be <XWY & <UTW.
3b) Two pizzas are made to the same dimensions. The only difference is that
Pizza 1 is cut into pieces at 30° angles and Pizza 2 is cut at 45° angles. They are
sold by the slice. The slices for Pizza 1 sell for $1.45/slice and the slices for Pizza 2
sell for $1.75/slice. What is the difference in total sales between Pizza 2 and Pizza
1?
Answers
Step-by-step explanation:
$0.30 because they only sell 30 cents less/more than each other
Solve for n 3m+2n=8 how do you do theseee?
Answers
What should be the first step to solve the equation?
2x + 9(x – 1) = 8(2x + 2) – 5
Combine like terms on each side of the equation.
Use the distributive property on each side of the equation.
Use the subtraction property of equality to subtract 5 from each side of the equation.
Use the addition property of equality to add 2x to each side of the equation.
Answers
Answer: B
(Use the distributive property on each side of the equation.)
Step-by-step explanation:
⚠️⚠️marking brainliest⚠️⚠️
It’s a math question :((
Answers
Answer:
slope: 3 y-intercept: 9
Step-by-step explanation: 19-10 is 9, and 6-3 is 3 9/3 is 3.
28-19 equals 9. 19-10 is 9, so 9 fills out that blank beside 10.
Answer:
slope is 3 and in the blank goes 1. and y intercepts line at y=1
Give 5 reasons explaining why math is your favorite subject.
Give 5 reasons why you dont like math.
Give 5 areas that math can help you now or in the future.
Answers
Answer:Math is important
Step-by-step explanation:
It could help you get into collage and get a good job and with that you could start your life.
Answer:
1.)
I love working with numbers
I love math because of what a challenge it is
I love math because I can become a engineer
I love math because I can also become a doctor with it
I love math because it is useful
2.)
I don't like math because of the word problems
I don't like math because it sometimes gets too easy
I don't like math because I usually have to help others
I don't like math because people call me a nerd
I don't like math because it makes me explain in words
3.)
when your in the store and it helps you with knowing how much your spending
lets you know about if the discount in the store is really good or bad
helps you with becoming certain things when you grow up
it will help you with most of your jobs
Will help others if you know it, you can share your knowledge
Step-by-step explanation:
brainlist pls :>
What is the slope intercept form of this line?
Answers
Answer:
the desired equation is y = (-3/4)x + 7
Step-by-step explanation:
If you start at (0, 7) and move along the line to (4, 4), you'll see that x increases by 4 (this is the 'run') and y decreases by 3 (this is the 'rise'). Thus, the slope of this line is m = rise/run = -3/4.
Let's use this m = -3/4 and the point (0, 7) to write the equation of this line.
(0, 7) is actually the y-intercept.
Thus, the desired equation is y = (-3/4)x + 7.
Write an inequality to determine when Apartment A will cost more than Aparment B: Johnny is searching for an apartment and has narrowed it down to two choices. Apartment A has a $300 security deposit and costs $800 each month. Apartment B has a $900 deposit and costs $500 each month.
Answers
Answer:
Apartment A will cost more than Aparment B after 2 months which means from the third month and above, Apartment A will cost more than Aparment B
Step-by-step explanation:
Write
Let the number of months be represented as y
Apartment A has a $300 security deposit and costs $800 each month.
$300 + $800 × y
300 + 800y
Apartment B has a $900 deposit and costs $500 each month
$900 + $500 × y
900 + 500y
An inequality to determine when Apartment A will cost more than Aparment B :
Apartment A > Apartment B
300 + 800y > 900 + 500y
300 + 800y = 900 + 500y
Collect like terms
800y - 500y = 900 - 300
300y = 600
y = 600/300
y = 2 months
Therefore Apartment A will cost more than Aparment B after 2 months which means from the third month and above, Apartment A will cost more than Aparment B
Exit ticket help please
Answers
Answer:
The answer is B
Step-by-step explanation:
I am learning the same thing somehow
Find the cos of angle c
A.3/5
B.6/5
C.5/3
D.1
Answers
N 0 Q. What are the solutions to the graphed system?
A. 0,-2
B. -2,0 and 2,0
C. 3,1
D. 0,-2 and 3,1
Answers
Answer:
Answer is D
Step-by-step explanation:
What is the image of (-5, 6) after a reflection over the line y = -2
Answers
Answer:
I'm pretty sure it would be (5,6)
Step-by-step explanation:
Reflecting a point over the Y-axis would change the x-coordinate, but not the y-coordinate
Write sec 325° in terms of the secant of'a positive acute angle.
Answers
Answer:
sec35°
Step-by-step explanation:
sec325° = sec(360 - 325)° = sec35°
The secant of a positive acute angle of sec 325° = sec 35° = 1.22077
What are Trigonometric Ratios?
Trigonometry values are all about the study of standard angles for a given triangle with respect to trigonometric ratios.The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Given data ,
The trigonometric ratio is = sec 325°
Now , to express the ratio in terms of a positive acute angle , we take the four quadrants of the graph and express the angle in the first quadrant.
And , 325° lies on the 4th Quadrant , where all cosines and secants are positive.
Therefore , sec 325° = sec ( 360° - 35° )
= sec ( 35° )
=1.22077
Hence , the secant of a positive acute angle of sec 325° = sec 35° = 1.22077
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