Answer:
[tex]x=\frac{y-3}{2y-3}[/tex]
Step-by-step explanation:
[tex]y=2+\frac{1+x}{1-2x}[/tex]
First, subtract 2 from both sides:
[tex]y-2=\frac{1+x}{1-2x}[/tex]
Multiply both sides by (1 - 2x):
[tex]y-2(1-2x)=1+x\\y-2xy-2+4x=1+x[/tex]
Subtract 1, subtract x, and add 2xy to both sides:
[tex]y-3+3x=2xy[/tex]
Subtract 3x from both sides:
[tex]y-3=2xy-3x[/tex]
Factor out the x:
[tex]y-3=x(2y-3)[/tex]
Finally, divide both sides by (2y-3):
[tex]x=\frac{y-3}{2y-3}[/tex]
Keep in mind that this is undefined at y=1.5. The original equation is also undefined at 0.5.
A car's velocity is modeled by V(t)=0.5t^2 -8t +24 ,where the velocity is in feet per second and time is in seconds. When does the car come to a complete stop
12 seconds
8 seconds
4 seconds
2 seconds
The velocity of the car is the rate of change of distance over time.
The car comes to a complete stop at 12 seconds
The velocity function is given as:
[tex]\mathbf{V(t) = 0.5t^2 - 8t + 24}[/tex]
When the car comes to a complete stop, V(t) = 0.
So, we have:
[tex]\mathbf{0.5t^2 - 8t + 24 = 0}[/tex]
Expand
[tex]\mathbf{0.5t^2 - 6t - 2t + 24 = 0}[/tex]
Factorize
[tex]\mathbf{0.5t(t - 12) - 2(t - 12) = 0}[/tex]
Factor out t - 12
[tex]\mathbf{(0.5t - 2)(t - 12) = 0}[/tex]
Split
[tex]\mathbf{(0.5t - 2) =0\ or\ (t - 12) = 0}[/tex]
Solve for t
[tex]\mathbf{0.5t =2\ or\ t = 12}[/tex]
This gives
[tex]\mathbf{t =4\ or\ t = 12}[/tex]
12 > 4.
Hence, the car comes to a complete stop at 12 seconds
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HI I REALLY NEED HEP PLEASEE
Option 2. Both lines have the same slope but start at a different y-intercept so they would be parallel. The other choices are false as well.
fingernails grow about 0.0123 centimetres per day. write this rate in scientific nation
Answer:
1.23 x 10^-2
Joyce buys a bus pass for the month of march for $32.55.How much does the bus pass cost per day?
Answer 1.085
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The bus pass cost per day will be $1.05 per day.
What is the rate?The rate is the ratio of the amount of something to a certain unit.
For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
Parenthesis, Exponent, Multiplier, Division, Adding, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.
Joyce buys a bus pass for the month of March for $32.55.
In March month, there are 31 days. Then the bus pass cost per day is given by dividing the cost of $32.55 by 31.
⇒ $32.55 / 31
⇒ $1.05 per day
The bus pass cost per day will be $1.05 per day.
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PLEASE ANSWER THIS AS SOON AS POSSIBLE AND CORRECTLY
This table represents the number of inches, n, a plant grows after m, months in a new pot.
When graphed, all of the points in the table lie on the same line.
Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?
Question 1 options:
Slope = 2, y-Intercept = -4
Slope = -2, y-Intercept = -4
Slope = 1, y-Intercept = 2
Slope = -1, y-Intercept = 2
Answer:
Y-Intercept would be 2, Slope would be 1
Step-by-step explanation:
After substituting, what is the first operation performed when evaluating 5 + (9 x minus 3) divide 2 for x = 5?
Answer:
After substituting We multiply 5 with 9.
Step-by-step explanation:
Given Expression 5 + ( 9x - 3 ) ÷ 2
5 + ( 9 × 5 - 3 ) ÷ 2
5 + ( 45 - 3 ) ÷ 2
5 + ( 42 ) ÷ 2
5 + 21
26
Find the value of x
Answer:
11
Step-by-step explanation:
2x - 6 = 16 (Based on similarity)
2x = 16 + 6
2x = 22
x = 22/2
x = 11
Peter is 75.25 inches tall, but Steve is 1.75 inches taller. How tall is Steve? ?
Answer:
77 in.
Step-by-step explanation:
Peter: 75.25 in.
Steve: 75.25 in. + 1.75 in. = 77 in.
Place numbers in bubbles so each row adds up to 100.
16,18,20,22,24,26,28,28,32,36
The numbers given can be placed in the bubbles in each row to sum up to 100 as shown in Figure 2 attached below. (See attachment).
The diagram (Figure 1) attached below shows the bubbles to be filled with the given numbers such that in each row, four of the numbers placed in the bubbles will add up to 100.
Hint:
Every row will have 4 numbers, 1 in each bubble which will give us 100.
The first row would be: 26 + 18 + 28 + 28 = 100The second row would be: 36 + 18 + 22 + 24 = 100The rest of the arrangement is shown in the figure 2 attached below. (See attachment).
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Evaluate the expression:
2/3-1/4+(-5/6)
Answer:
[tex] \\ \frac{2}{3} - \frac{1}{4} + \frac{( - 5)}{6} [/tex]
[tex] \\ = \frac{2}{3} - \frac{1}{4} - \frac{5}{6} [/tex]
[tex] \\ = \frac{8 - 3 - 10}{12} [/tex]
[tex] \\ = \frac{8 - 13}{12} [/tex]
[tex] \\ = \frac{ - 5}{12} [/tex]
Consider the number 9,953. Is this number divisible by 2, 3, 4, 5, 9, or 10? Provide justification for each number without using a calculator. Hint: If a number is not divisible by 2, then what other numbers is it also not divisible by?
Answer:
Divisible by none
Step-by-step explanation:
9,953 is odd
9+9+5+3 = 2 + 6 = 8 (not divisible)
53/4 is not a whole number
9,953 doesn't end with 5 or 0.
9 + 9 + 5 + 3 = 26 (not divisible by 9)
9,953 has no 0 at end.
You are welcome!
Kayden Kohl
8th Grade Student
The number 9,953 is divisible by neither of the digits 2, 3, 4, 5, 9, 10.
What is the importance of knowing divisibility rules?The importance of knowing divisibility rules is that we can determine whether a number is divisible by certain numbers generally from 1 to 20 or not without actually dividing.
Given, 9,953. Is this number divisible by 2, 3, 4, 5, 9, 10 or not.
A number is divisible by 2 if it's unit digit is divisible by 2.
A number is divisible by 3 if the sum of the digits is divisible by 3.
A number is divisible by 4 if the last two digits is divisible by 4.
A number is divisible by 5 if its unit digit is 5 or 0.
A number is divisible by 9 if the sum of the digits is divisible by 9.
A number is divisible by 10 if its unit digit is 0.
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what is the coordinates of the point?
Answer:
Step-by-step explanation:
3,2
Answer:
2,3 because the point is inside the origin or equivalent so the answer has to be 2,3
I WILL MARK BRAINEST!!!
#6 D and E please!
Answer:
Q1 = 13.5
Q3 = 17.5
Step-by-step explanation:
6d) ===============
12, 12, 13, 14, 14, 17, 17, 17, 17, 18, 19, 20
I counted 12 numbers in this set. The median is the middle number of a sorted set. It's also the 2nd quartile as it is 2 quarters in, or 50% in.
First, find the median. In an even-numbered set, that's the average of the 2 middle numbers. In this case, it's between 17 and 17:
12, 12, 13, 14, 14, 17 === 17, 17, 17, 18, 19, 20
Now the set is split into 2 sets with 6 numbers each. Now, find the median of each of those sets. Again, the median of an even-numbered set is the average of the 2 middle numbers.
To find the first quartile (Q1), find the median of the lower set.
12, 12, 13 === 14, 14, 17
The median here is the average of 13 and 14, so 13.5.
6e) ==============
Exactly the same process as above.
7, 12, 12, 13, 14, 14, 17, 17, 17, 18, 19, 20
12 numbers again.
7, 12, 12, 13, 14, 14 === 17, 17, 17, 18, 19, 20
Now, to find the third quartile, find the median of the upper set.
17, 17, 17 === 18, 19, 20
The median is the average of 17 and 18, or 17.5.
In the figure line m is parallel to line n if m angle 3 = (7x-10) and m angle 6=(5x+10) What are the measures of angle 3 and angle 6
Answer:
Than the other one is a good idea for the angle measured
Measures of angles 3 and 6 is 60°
What are parallel lines?Parallel lines are those straight lines that are always the same distance apart from each other.
Given that, line m is parallel to line n and m ∠ 3 = (7x-10) and m ∠ 6=(5x+10)
Since m ║ n then
m ∠ 3 = m ∠ 6
(7x-10) = (5x+10)
2x = 20
x = 10
m ∠ 3 = 7x-10 = 7*10 - 10 = 60°
m ∠ 6 = (5x+10) = 5*10 + 10 = 60°
Hence, Measures of angles 3 and 6 is 60°
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AYUDAAA PORFAVOOOOOOR!!
Answer:
4
Step-by-step explanation:
Answer:
La respuesta seria 3 espero que esto ayude
Step-by-step explanation:
Pls answer the question asap
I would go with Triangle
What is this symbol??
Answer:
plus and minus
Step-by-step explanation:
example : 3 ± 5 = 8 or -2
Hello!
The symbol + means "plus or minus"
It means we either add or subtract 4.
Example: 2+4=6 or -2
Hope it helps!
~Just a felicitous teen
#CarryOnLearning
[tex]SilentNature :-)[/tex]
7. Write an inequality that matches the graph shown.
Step-by-step explanation:
first, we define the line.
the slope is -3 (as for every increase of x by 1 unit, y changes by -3 units, which makes the slope -3/1 = -3).
the y-intercept is 2.
so, the line is
y = -3x + 2
now the graph shows that we need to define all y values that are below (and that means smaller than) the result values of the line function.
the line is not included.
therefore the inequality is
y < -3x + 2 or 3x + y < 2
PLZ HELP ASAP
Find the length of X
x = 5
explanation:
3 + 4.5 = 7.5 to get the side of the big triangle
set up a proportion
[tex]\frac{3}{7.5} =\frac{2}{x}[/tex]
3x=7.5(2)..........cross multiply
3x=15.................multiply
x=5.....................divide both sides by 3
Answer:
Step-by-step explanation:
[tex]\frac{3}{2} =\frac{7.5}{x} \\[/tex]
3x = 15
x = 5
nico wanted to determine the number of students in his school who buy school lunch. he walked around the cafeteria one lunch period looking to see whether every fifth person in the cafeteria purchased lunch or brought their own. which method did he use to collect his data? survey simulation experiment observational study
Answer:
Observation
Step-by-step explanation:
He walked around seeing if every fifth person bought lunch
Survey - Requires asking questions
Simulation - Needs prior data to make an estimation
Experiment - Testing something
Observation - Just observing and watching
Study - Looking up data
The method he used to collect his data is observational method.
When do we perform observational study, sample survey, controlled experiment, or random experiment?Observational study is usually chosen when the researches the system is likely to produce different result if interfered.
Sample survey is done if the population is too big to analyze or destructible as the analysis occurs.
Controlled experiment is done manually, specifically to deduce conclusions. Its steps are fixed.
Random experiment is done specifically to deduce conclusions, but it is done in a random manner.
We are given that;
He saw every fifth person in cafeteria
Now,
An observational study is a method of collecting data by observing and recording the behavior or characteristics of individuals or groups without interfering or manipulating any variables. Nico did not ask any questions or change any conditions, he just observed whether every fifth person in the cafeteria bought lunch or brought their own.
Therefore, by sampling the answer will be observational method.
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you lose one quarter, two dimes, and two nickels.
a. Write the amount as a decimal.
The amount as a decimal is ____.
b. Write the amount as a fraction in the simplest form.
The amount as a fraction is ____.
Answer: .55
55/100
Step-by-step explanation:
Find the perimeter.Simplify your answer.
Answer:
22w - 18
Step-by-step explanation:
To find the perimeter we have to add up all the sides
10w-10+w+1+10w-10+w+1
combine light terms
22w - 18 would be our answer
Answer:
2(10w-10)+2(w+1) =
20w-20+2w+2 =
22w-18
what is the value of x?
[tex] \large \text{answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
' X ' has no value, v should consider x has ' 1 '
What is the median?
And why
? Do you think so
Answer:
32 seconds
Step-by-step explanation:
The median is the exact middle of the data after putting the data in order. In this example, it would be 32 seconds.
23, 23, 28, 31, 32, 34, 47, 49, 56
3/4 + 1/2 + 1/3 sum to infinity
Answer:
18/12
Step-by-step explanation:
Answer:
5/3 or u could make it 5/4 since only 2 n 4 can have 2468 u cant put 4 back
Step-by-step explanation:
A high school athlete runs 1.00 ✕ 102 m in 13.65 s.
What is the velocity in m/s
What is the velocity in km/h?
answe:
102/13.65= 7.47m/s
then multoply by 3600 to get per hour
26.9 km/h
Which is better to buy 12 cans for $9.00 or 4 cans for $3.00.
SHOW YOUR WORK please
Answer:
Both are equal prices per can
Step-by-step explanation:
9/12 = 3/4 = .75 per can
3/4= .75 per can
What are the two pieces of information needed to write an equation, in slope-intercept
form, to model any linear relationship?
Answer:
Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.
Step-by-step explanation:
Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.
Answer:
The first piece of information you need is the slope number and the second piece of information you need is the y intercept
one angle of a right triangle measures 80degrees.what is the measure of the other acute angle
Answer:
10°Step-by-step explanation:
the sum of the internal angles of a triangle is 180 °, it is a right triangle so an angle is 90 °, you know another one and it is 80 °, from 180 ° you remove the two known angles and you have the measure of the unknown one.
180 - 90 - 80 =
10°
Please help quickly please
Answer
169
Step-by-step explanation: