Answers
[tex]\frac{x^2}{3}-\frac{1}{2}=\frac{x}{3}[/tex]
Because there are 3 and 2 as the denominators. Find the lowest number that both 3 and 2 can divide without any quotients, which is 6.
Multiply all whole equation by 6.
[tex]\frac{x^2}{3}(6)-\frac{1}{2}(6)=\frac{x}{3}(6)\\2x^2-3=2x[/tex]
We should get like this. Then move 2x to subtract.
[tex]2x^2-2x-3=0[/tex]
Because the polynomial is a two-degree and a quadratic equation. We solve the value of x by either factoring, using the formula or completing the square.
But I'll use the Quadratic Formula instead as the factoring doesn't seem to work for the Quadratic Equation with square root answers.
[tex]x=\frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]
This is the formula of Quadratic Equation. Ignore the weird letter as it just randomly appears and can't be deleted.
[tex]x=\frac{-(-2)±\sqrt{(-2)^2-4(2)(-3)} }{2(2)} \\x=\frac{2±\sqrt{4+24} }{4} \\x=\frac{2±\sqrt{28} }{4}\\x=\frac{2±2\sqrt{7} }{4} \\x=\frac{1±\sqrt{7} }{2}[/tex]
Therefore, the answer is x = (1±√7)/2
Related Questions
in the expression -12+m-9m+13, name the coefficients
Answers
Answer:
-12
1
9
13
Step-by-step explanation:
its just the numbers in front of the variables
all you need is in the photo
please answer step by step
Answers
The quantities x and y in a ratio are called
Answers
Answer:
The graph relates the temperature change
y
(in degrees Fahrenheit) to the altitude change
x
(in thousands of feet).
a. Is the relationship proportional? Explain.
b. Write an equation of the line. Interpret the slope.
c. You are at the bottom of a mountain where the temperature is
74\F
. The top of the mountain is 5500 feet above you.
What is the temperature at the top of the mountain?
Step-by-step explanation:
The quantities in a ratio usually expressed in the x : y are called the terms of ratio.
The quantities represents the values of each quantity represented by the ratio expression.For instance ; given the the ratio of boy to girls in a class as 2 : 3. The values of x and y are 2 and 3 respectively.
Since they make up the values in the ratio expression, they are called the terms of ratio.
Therefore, the quantities x and y in a ratio are called terms of ratio.
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A speed skater covered 1500 meters in 150 seconds. What is his unit rate of speed?
Answers
Use the distributive property to remove the parentheses.
-2( -6x-3v + 5)
Answers
Answer:
12x+6v-10
Step-by-step explanation:
-2(-6x-3v+5)
distribute -2 to the -6x
12x
distribute -2 to -3v
6v
distrbute -2 to 5
-10
If x =14 which equations true
Answers
Answer:
where r the equations?
Answer:
3(12-x)=6
Step-by-step explanation:
hope that helps !!!!!!!!!!!!!!!!!
find an equation for line L
Answers
Explanation:
Line L is the horizontal line. Any point on this line has y coordinate y = 4, so the equation is simply y = 4.
You could say the equation is y = 0x+4, which shows the slope is 0. But I think y = 4 is the better answer.
Which strategy below would NOT get you an
accurate estimation of 33% of 146.7?
A) Round the percent and find 30% of 146.7
B) Round the number and find 33% of 150
C) Use benchmark percent and find 50%
of 146.7
D) Round the percent and number and
find 30% of 150
E) All of them would be an accurate
estimation,
Answers
Answer:
C) Use benchmark percent and find 50%
of 146.7Step-by-step explanation:
Accurate estimation of 33% of 146.7
A) Round the percent and find 30% of 146.7
Acceptable, rounded down the %B) Round the number and find 33% of 150
Acceptable, rounded up the numberC) Use benchmark percent and find 50%
of 146.7
NOT acceptable as 50% is too much for 33%D) Round the percent and number and
find 30% of 150
Acceptable, both % and the number roundedE) All of them would be an accurate estimation
No, option C onlyA satellite radio company charges a one time fee of $36 for installation. The company also charges $42 per month for use. based upon this information complete this table showing the total cost of using the satellite radio after each month listed.
Answers
Answer:
Table shown below
Step-by-step explanation:
Linear Modeling
It consists of finding and using the equation of a line to represent the behavior of a real situation in numerical terms.
We are given the model of the charges for a satellite radio company that charges a fixed fee of $36 for installation and a variable fee of $42 per month for use.
The model is written as:
C(m) = 36 + 42m
Where m is the number of months.
For m=1:
C(1) = 36 + 42(1)=$78
For m=2:
C(2) = 36 + 42(2)=$120
For m=3:
C(3) = 36 + 42(3)=$162
For m=4:
C(4) = 36 + 42(4)=$204
For m=5:
C(5) = 36 + 42(5)=$246
The calculations are resumed in the table shown below.
Find the unit rate.
6,840 customers in 45 days.
UNIT RATE:
customers per day.
Answers
Answer:
152
Step-by-step explanation:
6840 divided by 45 is 152
In the equation, f(x)=2x-4(x+1), what is the value of f(-14)?
A. 32
B. -32
C. 5
D. 24
Answers
Answer:
D. 24
Step-by-step explanation:
Plug in -14 to the equation:
f(x) = 2x - 4(x + 1)
f(-14) = 2(-14) - 4(-14 + 1)
Simplify:
f(-14) = -28 - 4(-13)
f(-14) = -28 + 52
f(-14) = 24
So, D is the correct answer.
Find the mode of the data set below.
{99, 88, 88, 91, 92, 100}
O 91.5
O 88
93
0 89.5
Answers
Hope this helps!
Answer:
The mode is 88 as you can see there the 88 occurs twice.
Step-by-step explanation:
I hope this helps
I just need to know what elevation did Winston reach during his deepest dive?
Answers
Answer: 20.2 * -2.5ft = -50.5ft
Hence, Winston reach -50.5 feet during his deepest dive.
If your question was this: On Wednesday at 9 a.m., Winston went diving. Near the beach, the ocean’s surface was at an elevation of -2.5 feet. During his deepest dive, Winston reached an elevation that was 20 1/5 times the elevation of the ocean’s surface. What elevation did Winston reach during his deepest dive? Then that should be your answer.... I had this question too, and this is what i got....
Hope this helps.... Stay safe and have a Merry Christmas!!!!!! :D
Who likes anime??
I like anime♀️......
Answers
Answer:
Me too
Step-by-step explanation:
Answer: i like anime
The vertice of AKI are K(-5,5), (2, 0), and M(-2,-4)
Answers
BONUS QUESTION: Earn up to 2 bonus points for this question.
I have a Starbucks reward account. I earn "stars" for every purchase I make. Then I can spend those stars to get free items. My usual drink costs me either $5.45 or 150 stars. Sometimes I get Pumpkin Bread, which costs either $3.15 or 50 stars.
Today I am going to get my usual drink and some Pumpkin Bread. Which item is the better one to use my stars on? Explain why you think that is the better option.
Answers
Answer: I would say try and use your 150 stars you’ll save more money for that day and earn more stars.
Step-by-step explanation:Hope this helps!
Please help me with this homework
Answers
Answer:
5. y= -2x+4
6. y= 1/3x-3
7. y= -5/2x+8
8. y= 3/4x+3
Step-by-step explanation:
these are the answers if you want me to explain tell me!
the file at he bottom
Answers
Answer:
I don't see anything
Step-by-step explanation:
6w+3+9-2n use w=3 and n=2
Answers
Answer:
26
Step-by-step explanation:
from what I got lol , your welcome and have a nice day
Solve the system of equations:
y= -x + 9
y = - 3x + 8
X=
Answers
you would substitute y with 0 to find x then you would put 9 in for x to find y then you would go back to the first equation and put -19 in for y and then solve for x and get 27
who wants to be my math tutor for rn plz? i'll give u extra points if u help me for awhile? whos willing to do it?? like actually tho??
Answers
What should the following equation be multiplied by in order to eliminate the fractions?
2 1 1 + 2 / 3 = 2 3 4 + - -
Answers
234+x= 211 2/3
we want to find the difference between 234 and 212 because 212 is the nearest whole number to 211 2/3
234-212=22
your answer would be 22 1/3
Please give me the answer from 1 to 10 and tell me how you get it please in a notebook
Answers
wow that's a lot lol
1. slope = 0
2. slope = -5
3. slope = 5
4. slope = 0
5. slope= -1
6. slope = -1/2
7. slope = 3
8. slope = -1/10
9. slope = 1/2
10. slope = -1/2
Explanation :
I won't explain every question because that'll take forever but I can explain one step by step.
An example is number 5
You have the points, ( -4 , 5 ) ( 1 , 0 )
You need to use the SLOPE FORMULA
So first put an x1 and y1 below the points -4 and 5.
then put x2 and y2 below the points 1 and 0
the slope formula is m = y2-y1/x2-x1
plug in the numbers which will look like
0-5/1+4
It's plus 4 instead of -4 because a negative and negatives gives you a postivie
Simplify and you get m = -1
HELP ASAP
Betsy cut up 5 apples to make a pie. In total there were 35 apple seeds. On average, how many seeds were there per apple?
Answers
Answer:
7
Step-by-step explanation:
Which is more 2 yards or 40 inches
Answers
2 yards = 72 inches
Solution: 2 yards is more
Which choice correctly describes this event? I will roll a die and land on 1 and 3.
A) Impossible
B) Unlikely
C) Likely
D) Certain
Answers
This is impossible in 1 roll
the probability is zero
HELP ME PLEASE i need help
Answers
9514 1404 393
Answer:
∠x = 30°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the arc it subtends. Angle BAC is half the measure of arc BC.
Arc ABC is a semicircle, so measures 180°. Of that, arc AB is 120°, so the remainder, 180° -120° = 60° is the measure of arc AB.
Angle x is half that, or 60°/2 = 30°.
The measure of angle x is 30°.
Rewrite each explicit formula in the form of a function.
Part A
an= 19 - 7(n-1)
f(n) =
Part B
an= 1.5 +4.2 (n - 1)
f (n) =
Answers
Answer:
[tex]f(n) = 26- 7n[/tex] --- (a)
[tex]f(n) = 5.7- 4.2n[/tex] ---- (b)
Step-by-step explanation:
Given
[tex]a_n = 19 - 7(n-1)[/tex]
[tex]a_n = 1.5 - 4.2(n-1)[/tex]
Required
Rewrite as a function
[tex]a_n = 19 - 7(n-1)[/tex]
Rewrite
[tex]f(n) = 19 - 7(n-1)[/tex]
Open bracket
[tex]f(n) = 19 - 7n+7[/tex]
Collect Like Terms
[tex]f(n) = 19 +7- 7n[/tex]
[tex]f(n) = 26- 7n[/tex]
[tex]a_n = 1.5 - 4.2(n-1)[/tex]
Rewrite
[tex]f(n) = 1.5 - 4.2(n-1)[/tex]
Open bracket
[tex]f(n) = 1.5 - 4.2n+4.2[/tex]
Collect Like Terms
[tex]f(n) = 1.5 +4.2- 4.2n[/tex]
[tex]f(n) = 5.7- 4.2n[/tex]
The cost of dinner for Lorenzo and his 3 friends was $45.96.
Part A. How much did each person pay if they shared the cost equally?
Part B. Write an equation to model the solution to the problem.
Enter the correct answers in the boxes.
A. $ =
B. Equation =
Answers
Answer:
The friends split the bill at 15.32$
Step-by-step explanation:
So to find how much each paid you would take the bill total and divide it by the amount of people in this case three
And for the equation it would be 45.96/3=15.32$
The equation to model the solution to the problem would be; 3x = 45.96. the friends split the bill at 15.32 dollars.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.
Given that the dinner for Lorenzo and his 3 friends costs $45.96.
To determine how much each paid would take the bill total
Therefore, we will divide it by the number of people in this case three
3x = 45.96
x = 45.96/3
x = 15.32$
And for the equation would be; 3x = 45.96
Learn more about equations here;
https://brainly.com/question/25180086
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A roll of nickels is worth $2.00. Write and solve an equation to determine the number of nickels in a roll.'
ASAPPPPPPPP
Answers
X=40
X is the number of nickels