Answers
Answer:
[tex]x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }[/tex]
[tex]\dfrac{9 \cdot x + 10}{3} = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3[/tex]
Therefore;
[tex]x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}[/tex]
Step-by-step explanation:
Given that we have;
[tex]x^2 - 2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} }[/tex]
[tex]x^2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} } + 2 = \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )[/tex]
[tex]x^2 = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )[/tex]
[tex]x = 3 ^{-\frac{1}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )^{\frac{1}{2} }[/tex]
[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]
[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]
[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]
[tex]x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }[/tex]
[tex]\dfrac{9 \cdot x + 10}{3} = 3 \cdot x + \dfrac{10}{3} = 3 \times \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } +\dfrac{10}{3} = \dfrac{ 3 ^{\frac{5}{3} } + 3 }{3 ^{\frac{1}{3} } } + \dfrac{10}{3}= \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } }[/tex]
[tex]\dfrac{9 \cdot x + 10}{3} =\dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } } = \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{5}{3} }+ 10 }{3 } } } = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3[/tex]
Therefore;
[tex]x^3 = \dfrac{9 \cdot x + 10}{3}[/tex]
[tex]x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}[/tex]
Related Questions
What is the solution to 2/3(9x-6)=4(x+2)+ 2 round to the nearest hundredth
Answers
Answer:
7
Step-by-step explanation:
First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3
Which gives you 2/3 (9x - 6)
Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3
then you divide 6/3 with 2
Getting 2 (3x - 2)
The use the distributive law
2 x 3x - 2 x 2
simplify the equation
6x - 4
expand 4 (x +2) + 2: 4x + 10
which then equals 6x-4=4x+10
add 4 to both sides
6x-4+4=4x+10+4
simplify
6x=4x+14
subtract 4x from both sides
simplify again
2x=14
divide both sides by 2
2x/2 = 14/2
simplify one last time and get the answer
x=7
will mark brainlest and giving 30 points
Which phrase best describes the relationship indicated by the scatter plot?
A.
constant correlation
B.
negative correlation
C.
positive correlation
D.
no correlation
Answers
Answer:
D
Step-by-step explanation:
Answer:
D, No correlation
Step-by-step explanation:
The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?
Answers
Answer:
56 feet
Step-by-step explanation:
The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?
From the above question, our ratio is given as:
Width : Length
5 : 7
Width = 40 feet ,
To solve for the Length, let us represent the length as x
Width/Length
= 5/7 = 40/x
Cross Multiply
5 × x = 7 × 40
x = 7 × 40/5
x = 56 feet
Hence: The length of the rectangular flower bed = 56 feet
Find Mack's debt-to-income ratio if his monthly expenses are $2850 and his monthly salary is $4000
PLS SHOW WORKKKK!!!
Will give brainillest to person that shows work :)
Answers
Answer:
debt-to-income ratio= 0.7125
Step-by-step explanation:
Giving the following information:
Monthly expenses= $2,850
Monthly income= $4,000
To calculate the debt-to-income ratio, we need to use the following formula:
debt-to-income ratio= monthly debt payment / gross monthly income
debt-to-income ratio= 2,850/4,000
debt-to-income ratio= 0.7125
As a percentage:
debt-to-income= 0.7125*100
debt-to-income= 71.25%
The debt-to-income ratio is the percentage of your income dedicated to paying your debts.
A local movie theater has an offer that for every seven movies you pay to go see, they will give you free passes for two other movies. If you paid to see 42 movies last year, how many free passes did you receive?
Answers
Answer:
i just need more points so sorry im not helping
Step-by-step explanation:
im just a blank bc it doesnt let me say it seventh grader
Answer: 12
Step-by-step explanation: 42/7 = 6 and u get 2 free passes so 6 x 2 = 12
What is the circumference of a circle with a diameter of 10 feet? Use 3.14 as π
Answers
Answer:
31.4
Step-by-step explanation:
Happy holidays and have a great break!
Walmart is having a huge 25 % off sale!!!
If the SALE PRICE for a PS4 is $300, what was the ORIGINAL PRICE?
Answers
9514 1404 393
Answer:
$400
Step-by-step explanation:
If the price after taking 25% off is $300, then $300 is 75% of the original price.
$300 = 0.75p
$300/0.75 = p = $400
The original price was $400.
_____
Check
0.25 × $400 = $100
$400 -100 = $300 . . . . the price after taking 25% off
What are the coordinates of point (-2, 4) after a 180 degree rotation?
Answers
Answer:
(2,-4)
Step-by-step explanation:
Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).
What rule should you use? help
Answers
Answer:
Sine
Step-by-step explanation:
Using the Law of Sines, you can solve triangles when given two angles and a side.
what is the equation for the line in slope-intercept form?
enter your answer in the box
Answers
Answer:
It might help u , plz Brain-list it
Step-by-step explanation:
The option is not given but still its clear from the graph
That its slope intercept form will be ,
X=0 (the point where it intersect x axis) and Y=0 (the point where it intersect y axis)
Answer:
y = 8x
Step-by-step explanation:
Hope this helps
(From k12)
If you dissolve 50g of sugar in 30g of water, what is the sugar concentration?
Answers
Answer: 62.5% water
100 * 50 / (50 + 30) = 100 times, then you do 50/80 and you get 62.5.
Answer:
62.5% or 62.5
Step-by-step explanation:
;)
24. One solution of the equation
2x2 - 7x+k=0 is x =-1. Find the value of k.
2
Answers
Answer:
this is the correct solution for your question
Answer:
The value of k is -4.
Step-by-step explanation:
In order to find the value of k, you have to substitite x = -1/2 into the equation :
[tex]2 {x}^{2} - 7x + k = 0[/tex]
[tex]let \: x = - \frac{1}{2} [/tex]
[tex]2 {( - \frac{1}{2} )}^{2} - 7( - \frac{1}{2} ) + k = 0[/tex]
[tex]2( \frac{1}{4} ) + \frac{7}{2} + k = 0[/tex]
[tex] \frac{1}{2} + \frac{7}{2} + k = 0[/tex]
[tex]4 + k = 0[/tex]
[tex]k = - 4[/tex]
14) Solve: 1/2x - 7 = 1/3 (x-12) *
Answers
Answer:
x=18
Step-by-step explanation:
Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.
4x+3y≥12
Answers
Answer:
The strategy is to find the x and y intercept of the given equation
Step-by-step explanation:
4x+3y≥12
In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;
x-intercept occurs at where y = 0
when y = 0
4x + 3(0)≥12
4x ≥12
x ≥12/4
x≥ 3
Also y intercept occurs at where x = 0
4x+3y≥12
4(0)+ 3y ≥12
3y≥12
y≥12/3
y≥4
Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation
 
Can someone pleaseee help if you’re correct I’ll
Give u brainlist !
Answers
Answer:
Step-by-step explanation:
The blank should be filled in with "Definition of Angle Bisector" because you're told that UW is a bisector of angles VUX and VWX which means that it splits those angles exactly in half.
12 is 90% of what number?
12% of 72 is what number?
Answers
Answer:
12 is 90% of what number? 13.33
12% of 72 is what number? 8.64
The ratio of the number of boys to girls the number of girls in the school 729 and there are 1248 students in the school how many girls are there
Answers
Answer:
1005 girls
Step-by-step explanation:
From the question we are given ratio of boys to girls as 7 : 29
Total ratio will be 7 + 29 = 36
Total students in the school = 1248 students
Number of girls in the school = 29/36 * 1248
Number of girls in the school = 29 * 35
Number of girls in the school = 1005
Hence the approximate total number of girls in the school is 1005 girls
Note that the ratio was assumed since we are not given in question
(-5,3) (-7, 0)
What’s the slope of the line containing the two points
Answers
Answer:
The slope is 3/2 or 1.5
Step-by-step explanation:
To find the slope, simply divide the rise by the run. The rise of this line can be found by subtracting one y coordinate by another (it doesn't matter which by which). The run can be found by subtracting one x coordinate by another (it doesn't matter which by which).
So, let's say, for the y coordinates, I choose to subtract 3 by 0. 3 - 0 = 3. 3 is your rise.
For the x coordinates, I can choose to subtract -5 by -7. -5 - (-7) = 2. 2 is your run.
The slope is rise/run, so your answer is 3/2, which, in decimal form, is 1.5.
Hope this helped!
Plsss help correct answer gets marked
Answers
Answer:
B
Step-by-step explanation:
there are 7 blocks in the whole
the green portion is 3/7
1/2 times 6/7 is equal to 3/7
the answer is B
pls help asap!!!!!!!!!!!!!
Answers
Answer:
Number 2
Step-by-step explanation:
I can explain if needed to, since you said asap ill tell u the answer rq
Hey Sorry I was not able to get the whole graph but it is the same on both sides except for the negative
If you answer this I will give Brainlyist
Answers
Answer:
The first one goes in between 1 and 2 because its a half and the other one goes on 2 because its 2.
Hope this helped, 0Drink0Milk0
Solve F(x) for the given domain.
F(x) = x 2 + 3x - 2
F(1) =
2
3
30
Answers
Answer:
f(1) = 2
Step-by-step explanation:
To find f(1), substitute x = 1 into f(x), that is
f(1) = 1² + 3(1) - 2 = 1 + 3 - 2 = 2
Plzzz I need helpppp
Algebra
Answers
HELP!Please answer these for me?:)))
Answers
Answer:
You didn’t explain what we had to do....
Step-by-step explanation:
I’m not really sure...I’m sorry
Ericka observed the total variation in the water level over 6.2 years to be −13.64 mm. She compared this to the average annual trend, which shows the water level rising 1.8 mm/year. Remember, she used 6.2 years as her time period. What is the difference between how much average water levels rose and how much the water level fell in the part of the river she observed?
__________millimeters
Answers
Answer:
In the area that she observed, the water level fell 13.64mm over 6.4 years, for an average annual rate of change of: -13.64 ÷ 6.2 = -2.2 mm/ year.
13857552359.3 rounded by it nearest whole number. I will give the brainliest. Please help!
Answers
Answer:
13857552359
Step-by-step explanation:
13857552359.3
3 is less than 5, so round down to 13857552359
Answer:
what is given: 13857552359.3
Ones: 13857552359
Tens: 13857552360
Hundreds: 13857552400
Thousands: 13857552000
Millions: 13858000000
Hint: Each of the numbers are different
P.S I put all of them because you didnt say which whole number you wanted
Hope this helped!
f(x) = |2x + 1| + 3
g(x) = -2
find (f + g)(x)
A.(f + g)(x) = |2x + 2|
B.(f + g)(x) = |2x| + 2
C.(f + g)(x) = |2x + 1| + 1
D.(f + g)(x) = |2x + 4| - 2
Answers
Answer:
(f + g)(x) = I2x + 1I + 1 ⇒ C
Step-by-step explanation:
Let us solve the question
∵ f(x) = I2x + 1I + 3
∵ g(x) = -2
→ We need to find (f + g)(x), which means add the two functions
∵ (f + g)(x) = f(x) + g(x)
→ Substitute the right side of each function on the right side
∴ (f + g)(x) = I2x + 1I + 3 + (-2)
→ Remember (+)(-) = (-)
∴ (f + g)(x) = I2x + 1I + 3 - 2
→ Add the like terms in the right side
∵ (f + g)(x) = I2x + 1I + (3 - 2)
∴ (f + g)(x) = I2x + 1I + 1
Tom buys a shirt for $22.00 plus 7% sales tax. His cousin buys a shirt for $18.00 plus 4% sales tax.
A how much do Tom and his cousin pay for the shirts ( show your work )
B who spent more on tax
Answers
B: Tom spent more on tax
(5x — 3y) (5х + 3у)
Answers
252−92
Answer up there
Answer:
[tex]25x^{2} - 9y^{2}[/tex]
Step-by-step explanation:
5x*5x=[tex]25x^{2}[/tex]
3y*3y= [tex]9y^{2}[/tex]
1. Marlin averages for his Social Studies class is listed below. If the teacher
weights homework at 20%, quizzes at 20%, tests at 45%, and the final exam
at 15%, what is Marlin's class average?
1)61%
2)71%
3)74%
4)82%