Answer:
y=3/4x-6
Step-by-step explanation:
u have to use the y2-y1/x2-x1 to fid the slope which is 3/4
then use slope intercept form which is y=mx+b to find if the equation has a y-intercept, plug in on point into the slope intercept form -12=3/4(-8)+b and u would get 6.
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 = ???
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
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
y^2+3y^2-6y+y^{3-8y}
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.
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.
help me againn, will give brainliest.
Answer:
6
Step-by-step explanation:
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
Answer:
44
Step-by-step explanation:
You said it
The value of y varies directly with x. When y=30, x=0.75. What is the value of y when x=5.25?
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.
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?
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
PLEASE HELP ME what are the slope and the y- intercept of the liner function that is represented by the graph.
5. What is the slope of the line whose equation is
2y = 3x +4
A. 3
B. 2
C. 3/2
D. 2/3
the slop of the line is 2/3, you always have to put x on denominator and y is numerator
can someone help simplify this 6n+5(10n−7)
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
A manufacturer allows a discount of 30% on the list of prices of goods bought by wholesalers. Calculate the discount allowed on the following prices.
a) 800,000
b) 1,000,000
Answer:
a) 10 percent of 800,000 is 80,000
80,000*3=240,000
They will allow a discount of 240,000, making the price 560,000.
b) 10 percent of 1,000,000 is 100,000
100,000*3=300,000
They will allow a discount of 300,000, making the price, 700,000.
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.
Answer:
if my math is correct it is $4.39
Step-by-step explanation: do not fully trust this
Please help I’ll
Give you brainiest!❤️
And please solve it too thanks!
Answer:
y=2x +14
Step-by-step explanation:
y-8 = 2x + 6
y = 2x + 6 + 8
y= 2x + 14
What is m<1?
Plzzz I need help
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
(-5)- 2 x (-9) + 6
i need the answer asap
Add − 9 and 6.
[tex]- 5 - 2x, -3[/tex]
17+(−8)+(−8) help plweasee
Answer:
1
Step-by-step explanation:
17+(-8)+(-8)
9+(-8)
1
What is 5g When is g Is 3?
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
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes? *
5 points
10 meters
20 meters
100 meters
200 meters
Is the following equation proportional? y = 6x + 2 *
5 points
Yes
No
(sorry its two questions)
Answer:
100 meters 20/5=100
Not sure about the second one
hope this helps
Step-by-step explanation:
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 ]
Step-by-step explanation:
independent is questions answered correct
dependent is final test sore.
i think
write an expression for each phrase. *will give BRAINLIEST*
5 times the quantity x plus 6
&
32 divided by the quantity y+12
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:)
how do you Factor in algebra 2?
for example:
r^2-r-20
and
x^2+8x+12
(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)
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.
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. ;)
Graph: Y-3 =1/2(x+2)
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.
Can anyone tell me what the correct answer for this is? Thank you.
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.
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
estimate the value of 9.9²x1.79
Slove 4(5x-2)= 2(9x+3)
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]
answerrrr plssssssssssssssssssssssssssssssssssss
Answer:
c
Step-by-step explanation:
because like it would happen in real life yk and the others dong make sense at all
tell me if its right
Answer:
c)scene
according to me
Budget Rental Car charges an initial fee of $20 plus an additional $30 per day to rent a car. Enterprise Rental Car charges an initial fee of $36 plus $28 per day. For what number of days is the total cost charged by the companies the same?
I need an answer ASAP!! :)
Answer:
8 days
Step-by-step explanation:
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?
Answer:
283.75
Step-by-step explanation:
525/4=131.25
131.25+110=241.25
525-241.25=283.75
