What is the equation of the line that passes through the points 1/2/3 and (-1,-1
a.y=-6x+5
b.Y=5/6X-1/6
C.Y=2/3X+1/5
D.y=6/5x+1/5
Answer:
(1, 2/3) (-1, -1) are the points. use the slope formula to find the slope y2-y1/x2-x1
(-1 - 2/3) / (-1 -1) (answer both sides of the division side)
-5/3 / -2 (divide)
slope = 5/6 (the slope)
plug in values you know into point-slope form (y -y1) = m(x-x1)
y - (-1) = 5/6 (x - (-1) (i chose the easier point to plug in. two neg. make a pos. )
y +1 = 5/6 (x +1) (use the distributive property)
y +1 = 5/6x+5/6 (subtract 1 from both sides)
y = 5/6x - 1/6 or B (this is the equation)
Step-by-step explanation:
I hope this helped :))
The diameter of a cylindrical water tank is 10ft and its height is 11 ft what's the volume of the tank used value 3.14and round to the nearest whole number
Answer:
863.5 ft³
Step-by-step explanation:
Given that :
Diameter, d = 10 ft
Height, h = 11 feets
Radius of tank, r = d/ 2 = 10ft / 2 = 5 ft
The volume of a cylinder is calculated using the relation :
Volume = πr²h
Volume = 3.14 * 5^2 * 11
Volume = 3.14 * 25 * 11
Volume = 863.5ft³
PLS HELP ASAP
Use a graph to solve the following
243=3^x+^3
Answer:
They all have equal bases.
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
x=5
hope this helps !!:)
Step-by-step explanation:
Please help!! Show your work!! Will mark brainliest!!
Answer:
17 degrees because 180-163=17
Step-by-step explanation:
let the picture be named as above picture:
angle D +163=180 (linear pair)
D=180-163
D=17⁰
Sum of exterior angle of polygon is 360⁰.
148+50+17+90+angleC=360
198+107+angleC=360
305+angleC=360
angleC=360-305
angleC=55⁰
NEED HELP ASASPPP
A study reported that about half of high school seniors study for upcoming math tests. To find out if this applies to seniors at Garfield High School, an SRS of 30 seniors was asked if they study for their math tests. Nineteen responded "Yes.”
A dotplot is provided showing the results of 40 trials of this simulation.
A dotplot titled seniors who study for math tests have number of seniors who responded yes on the x-axis, and frequency on the y-axis. 12, 2; 13, 5; 14, 6; 15, 11; 16, 9; 17, 4; 18, 2; 9, 0; 20, 1.
Does this provide convincing evidence that seniors at Garfield High School study more than the report stated?
No, there is an outlier at 20.
No, there were outcomes as low as 12.
Yes, only one trial had a result of 19 or larger.
Yes, more than half of the simulated results are over 15.
Answer:
Yes, only one trial had a result of 19 or larger.
Step-by-step explanation:
The claim reported is that only about half of high school seniors study for upcoming math test. However, at Garfield a sizeable number of the 30 surveyed observation gave a symmetrical distribution about the study pattern of their high school seniors with only one trial a frequency of yes greater than or equal to 19
The sum of two numbers is 120. Three times
their difference is 48. What are the numbers?
TERS A.5(C) A.1(A), A1(B)
F. 16, 120
G 36, 52
H 52,68
J 68, 84
Pleasss help thank you :)
Answer:
The answer is 68 and 52
Step-by-step explanation:
x + y = 120
3(x - y ) = 48
We have 3x + 3y = 360
and 3x - 3y = 48
Adding we have the following:
6x = 408
x = 68
y = 120-48 = 52
which expression is equivalent to (3a+7) (2a-5)?
If you want me to simplify this is the answer.... 6a^2-a-35
What is the y intercept of the following equation 3x-2y=4
Answer:
(0, -2)
i am pretty sure this is the answer
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and 11 3/4 feet. Find the length (in ft) of the fence needed to enclose the garden. (Enter your answer as a simplified mixed number.)
Given :
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and
11 3/4 feet.
To Find :
The length (in ft) of the fence needed to enclose the garden.
Solution :
First simplifying the given mixed numbers :
8 1/3 = 25/3 feet
17 1/4 = 69/4 feet
17 1/2 = 35/2 feet
11 3/4 = 47/4 feet
Now, length of fence needed to enclose the garden is :
[tex]L = \dfrac{25}{3}+ \dfrac{69}{4}+ \dfrac{35}{2}+ \dfrac{47}{4}\\\\L = \dfrac{(25\times 4)+ ( 69\times 3) + ( 35\times 6) + (47 \times 3 )}{12}\\\\L = \dfrac{658}{12}\ feet[/tex]
Hence, this is the required solution.
Help now or your mom give u wedgie
Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of $14,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $56,000 down payment be?
find the value of the expression below x=2 3x
I NEED HELP WITH 8TH GRADE MATH
Answer:
Are you doing Pythagorean theorem?
If not, what is your unit topic?
Answer:
Step-by-step explanation:
3. 17
4. 24
5. 24.21
6. 40
7. 15.81
8. 16
Helpppp pllzzz & thx
In circle B, find x if m A = 3x + 9 and m B = 8x – 4.
The value of x is 11.
Central Angle Theorem :It states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.
From given figure, [tex]A=3x+9,B=8x-4[/tex]
[tex]\angle B=2\angle A\\\\8x-4=2(3x+9)\\\\8x-4=6x+18\\\\8x-6x=18+4\\\\2x=22\\\\x=22/2=11[/tex]
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Do y'all know which one it is if so tell me and plz explain why.
its equal to because if you do +50-50 and keep going it will always go back to 0. Hope this helps! :D
Answer:
C or Equal To
Step-by-step explanation:
The input was 0 at first
50 - 50 is 0
Hope this Helps
▼・ᴥ・▼
HALP! WORD PROBLEM 20 points: A store has reduced the price by $20. How large must the next discount be so the new price will be half of the original price? Express your answer as a percent to the nearest tenth.
Answer:
HALP word is wrong all word is but HALP is wrong.
Help me please find the slope and y-intercept
Answer:
Slope is 2.15
y-intercept is 2
Step-by-step explanation:
We need to find slope and y-intercept of the graph given.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Looking at the graph, we can find 2 points
Point 1 : (0,-2)
Point (2): (2,-2.3)
Now putting values and finding slope:
We have: [tex]x_1=0, y_1=-2, x_2=2, y_2=-2.3[/tex]
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2.3-(-2)}{2-0}\\ Slope=\frac{2.3+2}{2}\\ Slope=\frac{4.3}{2}\\Slope=2.15[/tex]
So, we get slope = 2.15
Now, finding y-intercept
y-intercept can be found if we put x =0
Looking at the graph, when x =0, y = 2
So, y-intercept is 2
2^46 is how many times as many as 2^42?
Answer:
16 times as many
Step-by-step explanation:
2^46 = 70368744177664 2^42 = 4398046511104 70368744177664/4398046511104 = 16
Write the equation of the line with the given information.
Slope: -2
y-intercept: 5
Answer:
your mom
Step-by-step explanation:
The two basic kinds of rulers are______
Jan 15, 8:40:40 AM
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-6x + 5y = 7
30x – 25y = -35
One Solution
Infinitely Many Solutions
Submit Answer
O No Solutions
?????????????????????????????
Answer:
92°=180°/y° I think this is correct
Please help!! 20 points!!! I don’t know if is d....
The narrator of Fever 1793 helps readers imagine Philadelphia summers by describing
1.church bells tolling.
2.mosquitoes, blowflies, and hornets buzzing.
3.visiting the newspaper office.
4.Eliza leaving for the Free African Society meeting.
Answer:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
The narrator of Fever 1793 helps compendiums imagine Philadelphia summers by describing about mosquitoes, blowflies, and hornets buzzing.
What's Narration?This refers to the liar of an event to talk about an event in the order of circumstance.
Given
The opening judgment of Fever 1793," From the moment Colette Ogilvie passed out, Philadelphia's church bells chimed continuous.
The narrator of Fever 1793 makes it easy for readers to picture her upbringing by expressing her love for the nation, describing how it felt to see her words printed, confessing to counting on her fingers, and describing how it felt to voice her anger with front-of-the-house service.
On the road corners, shots were fired, and a cannon was fired in the public forecourt to clear the air. In addition to that, hornets, blowflies, and mosquitoes swarmed about us continuous.
The noise was annoying." Illustration demonstrates how mosquitoes, blowflies, and hornets agonized Philadelphians with unheroic fever in 1793.
Learn more about Narration here:
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Determine if the function represented by the table is linear. Explain.
х -10 -14 -18-24
у 6 10 16 24
Answer:
The given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.
Step-by-step explanation:
Given the table
x -10 -14 -18 -24
y 6 10 16 24
A linear function has a constant change in x and a constant change in y values.In order to determine whether the table represents the linear function or not, we need to check whether there is constant change in x and y.
It is clear that there is a NO constant change in x
i.e. -14-(-10) = -4, -18-(-14) = -4, -24-(-18) = -6
It is clear that there is a NO constant change in y
i.e. 10-6=4, 16-10 = 6, 24-16 = 8
Therefore, the given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.
Austin swam 1.4 laps each minute. Ashley is Austin's older sister. She trains in the same pool and can swim 9 laps in 6 minutes. Is Ashley a faster swimmer than Austin? Question - how can you use the unit rate in minutes per lap to compare Ashley's speed to Austin?
Answer: Asley is faster than Austin.
Step-by-step explanation:
Given: Austin swam 1.4 laps each minute.
Asley's sister can swim 9 laps in 6 minutes.
i.e. the number of laps she can swim in each minute = [tex]\dfrac96 = 1.5[/tex]
1.5 > 1.4, i.e. Asley swim more laps than Austin in a minute.
Hence, Asley is faster than Austin.
In mintues per lap, speed of Austin = [tex]\dfrac1{1.4}=0.71\text{ minute per lap}[/tex]
Speed of Ashley = [tex]\dfrac{6}{9}=0.67\text{ minute per lap}[/tex]
Ashley took lesser time then austin per lap.
Hence, Ashley is faster than Austin.
if f(x) = 2x/x-5
find f-1(x)
Answer:
5x/x-2
Step-by-step explanation:
rewrite it as x=2y/y-5 to make y the subject
multiply by (y-5) on both sides to get x(y-5)=2y
simplify x(y-5)=2y to get xy - 5x = 2y.
in order to get y as a subject you would need to move all the (y)s to one side.
Which would leave you with xy - 2y = 5x. you can now make y the subject from here through factorisation : y(x-2)=5x.
Then to finish with y as a subject divide (x-2) on both sides to get the answer which is : y = 5x/x-2
Sorry if this is confusing but this is me explaining how my thought process works for this question.
The inverse of the function will be -
f⁻¹(x) = 5/(1 - 2/x)
What is inverse of function? What is a mathematical equation? What do you mean by domain and range of a function?In mathematics, the inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by [tex]{\displaystyle f^{-1}.}[/tex]A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given is f(x) = 2x/(x - 5)
We have -
y = 2x/(x - 5)
replace [x] with [y] as -
x = 2y/(y - 5)
Solving for y -
y/(y - 5) = x/2
(y - 5)/y = 2/x
(y /y - 5/y) = 2/x
(1 - 2/x) = 5/y
y = 5/(1 - 2/x)
f⁻¹(x) = 5/(1 - 2/x)
Therefore, the inverse of the function will be -
f⁻¹(x) = 5/(1 - 2/x)
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes. Over many past trips, what proportion (area) of times has the ferry reaches the island in A) less than 1 hour, 45 minutes? B) more than 2 hours, 5 minutes? C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Answer:
A) 0.10565
B) 0.33846
C)
Step-by-step explanation:
The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes.
Note that, all units must be in minutes
We solve this question using z score formula
= z = (x-μ)/σ
where
x is the raw score
μ is the population mean = 2 hours
Converting to minutes
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Mean = 120 minutes
σ is the population standard deviation = 12 minutes
Over many past trips, what proportion (area) of times has the ferry reaches the island in
A) less than 1 hour, 45 minutes?
Converting 1 hour 45 minutes to minutes
60 minutes = 1 hour
Hence:
60 + 45 minutes = 105 minutes
For x < 105 minutes
= 105 - 120/12
= -1.25
Probability value from Z-Table:
P(x<105) = 0.10565
B) more than 2 hours, 5 minutes?
Converting 2 hours 5 minutes to minutes
Hence:
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 5 minutes = 125 minutes
For x < 125 minutes
z = 125 - 120/12
z = 0.41667
Probability value from Z-Table:
P(x<125) = 0.66154
P(x>125) = 1 - P(x<125) = 0.33846
C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Converting 1 hour, 50 minutes to minutes
= 60 minutes = 1 hour
Hence:
60 + 50 minutes = 110 minutes
For x = 110 minutes
= 110 - 120/12
= -0.83333
Probability value from Z-Table:
P(x = 110) = 0.20233
Converting 2 hours, 20 minutes to minutes
= 1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 20 minutes = 140 minutes
For x = 140minutes
z = 140 - 120/12
= 1.66667
Probability value from Z-Table:
P(x = 140) = 0.95221
The points (0,5) and (1,9) fall on a particular line. What is its equation in slope-intercept
form?
Answer:
y = 4x + 5
Step-by-step explanation:
First let's find its slope.
(5-9)/(0-1) = 4.
So far, in the equation we have y=4x+b.
As for the y-intercept, the coordinate (0,5) is the y-intercept.
Therefore, the equation in slope intercept form would be y=4x+5.
If it takes eight men ten hours to build a wall, how long would it take four men?
Answer:
20 bc if 8 men took 10 hours then 4 men would take double the time
Answer:
ha ha is it math question seriously or riddle if riddle the wall is already built by men they non time is taken by men.
Find the solution to the equation 30x +7= 9. Give
your answer as a fraction.