Answers
Answer:
((2 x^2 + 1)^2)/(x^2)
Step-by-step explanation:
Simplify the following:
(2 x + 1/x)^2
Hint: | Put the fractions in 2 x + 1/x over a common denominator.
Put each term in 2 x + 1/x over the common denominator x: 2 x + 1/x = (2 x^2)/x + 1/x:
((2 x^2)/x + 1/x)^2
Hint: | Combine (2 x^2)/x + 1/x into a single fraction.
(2 x^2)/x + 1/x = (2 x^2 + 1)/x:
((2 x^2 + 1)/x)^2
Hint: | Distribute exponents over quotients in ((2 x^2 + 1)/x)^2.
Multiply each exponent in (2 x^2 + 1)/x by 2:
Answer: ((2 x^2 + 1)^2)/(x^2)
Related Questions
To support a local senior citizens center, a student club sent a flyer home to the n students in the school. The flyer said, "Please bring in money to support the senior citizens center. Paper money and coins accepted!" Their goal is to raise T dollars. Match each quantity to an expression, an equation, or an inequality that describes it. A: the dollar amount the club would have if they reached half of their goal 1: B: the dollar amount the club would have if every student at the school donated 50 cents to the cause 2: C: the dollar amount the club could donate if they made $50 more than their goal 3: D: the dollar amount the club would still need to raise to reach its goal after every student at the school donated 50 cents 4: E: the dollar amount the club would have if half of the students at the school each gave 50 cents 5: Which statement matches with T + 50?
Answers
Answer:
the dollar amount the club would have if they reached half of their goal T + 50
the dollar amount the club would have if every student at the school donated 50 cents to the cause 0,5T
the dollar amount the club could donate if they made $50 more than their goal 0.25n
the dollar amount the club would still need to raise to reach its goal after every student at the school donated 50 cents 0.5n
the dollar amount the club would have if half of the students at the school each gave 50 cents T - 0.5n
Step-by-step explanation:
the dollar amount the club would have if they reached half of their goal T + 50
the dollar amount the club would have if every student at the school donated 50 cents to the cause 0,5T
the dollar amount the club could donate if they made $50 more than their goal 0.25n
the dollar amount the club would still need to raise to reach its goal after every student at the school donated 50 cents 0.5n
the dollar amount the club would have if half of the students at the school each gave 50 cents T - 0.5n
You have a piggy bank with $4 in it. Every month you get an allowance and add $5 to the piggy bank. Which of the following equations represent the amount of money in the bank after "x" months?
Answers
X represent how many months you keep adding $5 to your bank.
Check:
4+5(1) = 9 dollars first month
4+5(2)= 14 dollars second month
4+5(3)= 19 dollars third month
And so on...
Hope that helps!
[tex] \frac{2}{4} + \frac{1}{3} [/tex]
I'm not sure how to do it
Answers
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\frac{2}{4}+\frac{1}{3}\\Find a common denominator\\2*3=6\\4*3=12\\1*4=4\\3*4=12\\\frac{6}{12}+\frac{4}{12}\\6+4=10\\\frac{10}{12}=\frac{5}{6}[/tex]
1) Solve this system of linear equations by elimination.
2x+4y=8
3x=12+4y
*x=4,y=0
*x=3,y=1
*x=3,y=0
*x=4,y=1
please answer step by step
Answers
Step-by-step explanation:
2x+4y=8
3x-4y=12
2x+4y+3x-4y=8+12
cancel +4y and -4y
therefore 2x+3x=20
5x=20
x=20/5
x=4
Sibstituting x=4 in 2x+4y=8
2x+4y=8
2*4+4y=8
8+4y=8
4y=8-8
y=0/4
y=0
x=4
y=0
There are 38 students involved in planning the homecoming parade. Of these students,
15 are boys and 23 are girls. If three members are selected to lead the parade, find the
probability that all three are girls.
Answers
Answer:
60.5% chance
Step-by-step explanation:
it is 23/38, since there are 23 girls and 38 ppl in total
If three members are selected to lead the parade, 23/38 is the probability that all three are girls.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
The number of students involved in planning the homecoming parade are thirty eight 38.
Among these thirty eight students, there are fifteen number of boys 15 and Twenty three number of girls (23).
Given a condition that If three members are selected to lead the parade,
We need to find the probability of all three girls.
The number of students =P(B)=38
The number of girls=P(A)=23
The probability of all three girls is P(A)/P(B)
23/38
Hence 23/38 is the probability that all three are girls.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
HELP PLEASE QUICKLY!! Please
Answers
Which expression is equivalent to 10f - 5f + 8 +6g +4
Answers
Answer:5f+6g+12
Step-by-step explanation:
Just did it and got it right
The value of equivalent expression is,
⇒ 5f + 6g + 12
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 10f - 5f + 8 + 6g + 4
Now, We can simplify as,
⇒ 10f - 5f + 8 + 6g + 4
Combine like terms,
⇒ 5f + 6g + 12
Thus, The equivalent expression is,
⇒ 5f + 6g + 12
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ5
An airplane travels 780 miles in 4 hours. Make a table and graph to show the mileage for 2,8, and 12 hours. Is there a direct variation? Explain.
PLS HELP ME ON THIS QUESTION!!
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
As an airplane travels 780 miles in 4 hours.
We need to determine the table and graph to show the mileage for 2,8 and 12 hours.
as
The airplane covers the distance in 4 hours: 780 miles
so
The airplane covers miles in 1 hour will be: 780/4 = 195 miles
Hence, the table can be calculated as:
Hours Distance Mileage in Miles
[tex]2[/tex] [tex]2\times195\:=\:390[/tex] miles
[tex]8[/tex] [tex]8\times195 = 1560[/tex] miles
[tex]12[/tex] [tex]12\times195 = 2340[/tex] miles
It is clear from the table that it is a direct variation as the constant is 195 miles per hour.
Please check the attached graph. The graph clearly indicates a direct variation.
20. Which of the following lines is parallel to the
line 4x + y = 5?
A. y = 4x - 2
B. y =
= 4x + 9
C. y =
1
X +8
4
1
D. y=-**-1
Answers
What is the solution to the system shown below?
Answers
x² – 3x-7
x+2
Divide the following using synthetic division
Answers
Answer:
x-5+ [tex]\frac{3}{x+2}[/tex]
Step-by-step explanation:
If x+2 is a factor, -2 is a zero. So we can put -2 in the left-hand corner of your synthetic division, bring the coefficients down so you'll have a set up like this:
-2 | 1 -3 -7
____________
1. bring down the 1:
-2 | 1 -3 -7
____________
1
2. multiply that by -2 and enter the result underneath 3:
-2 | 1 -3 -7
-2
___________
1
a. then, add through:
-2 | 1 -3 -7
-2
___________
1 -5
3. Do the same for -5 (multiply by the zero -2), enter that underneath -7 and add through:
-2 | 1 -3 -7
-2 10
___________
1 -5 3
Now, reassign the coefficients to their x. Because we already factored out an x with the zero, the 1 is assigned to 'x' rather than back to '[tex]x^{2}[/tex]'. The '-5' will not have an x attached. '3' is your remainder and cannot be divided out any further, so it will be written as [tex]\frac{3}{x+2}[/tex]. Finally, just put them back together to get x-5+[tex]\frac{3}{x+2}[/tex].
Hope this helped!
4. Lizette said this is correct. Is she right? Explain your answer to this question for
full credit! *
63 x 36
36 = 18
Your answer
Answers
Answer:
Please check the explanation!
Step-by-step explanation:
Given the expression what Lizzet said was correct
[tex]6^3\times \:\:3^6=18^8[/tex]
No, she is not right. Let me solve the expression
Let us solve the expression
[tex]6^3\times \:\:3^6[/tex]
[tex]=\left(3\times \:2\right)^3\times \:3^6[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\:\:\:\left(ab\right)^c=a^cb^c[/tex]
[tex]=3^3\times \:2^3\times \:3^6[/tex] ∵ [tex]\left(3\times \:2\right)^3=3^3\times \:2^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\:\:a^b\times \:\:a^c=a^{b+c}[/tex]
[tex]=2^3\times \:3^{3+6}[/tex] ∵ [tex]3^3\times \:3^6=\:3^{3+6}[/tex]
[tex]=2^3\times \:3^9[/tex]
Therefore, the correct expression will be:
[tex]6^3\times \:\:3^6=2^3\times \:\:3^9[/tex]
which can be further simplified such as:
[tex]6^3\times \:\:3^6=2^3\times \:\:3^9[/tex]
[tex]=8\times \:19683[/tex]
[tex]=157464[/tex]
What is the Estimating Root of 770? Like what is the square root of 770 in between.
Answers
Answer:
Step-by-step explanation:
square root of 770 is 27.748873851
in between would be.... square root of 25= 5
square root of 36= 6
SLOPE PLZ !!!!!!!!!!!
Answers
Answer:
-3/4
Step-by-step explanation:
Rise / run
Hope this helps. Pls give brainliest.
write 2350 milliion in standard form
Answers
Answer:
2,350,000,000
Step-by-step explanation:
Answer:The number form of 2350 million is 2350000000. It can also be abbreviated as 2350M.
Step-by-step explanation:
A truck’s position relative to a car’s position is -60 feet. The car and the truck move in the same direction, but the car moves 5 feet per second faster for 8 seconds. What operations could be used to find the truck’s relative position after 8 seconds? Explain
Answers
Answer:
I think its false
Step-by-step explanation:
the car went 8 second faster
Help me do not understand
Answers
Answer:
The slope is 4/60. Simplified is 1/15
Step-by-step explanation:
Rise over run :)
(2,60) and (6,120) are your points
120-60 60
———— = ——— = 15
6-2 4
Therefore, your slope is 15 or 15/1
This means the money earned increases by $15 for each hour worked
Hope this helps! :)
Express 0.5 as a fraction
Answers
Answer:
the answer is 1/2
Step-by-step explanation:
Step 1 of 2: Convert decimal to fraction.
Convert decimal to fraction
0.5 = 5/ 10
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
5 / 10
then divide ( 5 ÷ 5 ) over ( 10 ÷ 5 )
5 ÷ 5
10 ÷ 5
=1 /2
~PLZ mark brainliest~
(17) 60% of what is 24?
Answers
Answer:
Step-by-step explanation:
24*60%= 14.4
Answer:
14.4
Step-by-step explanation
3/5 x 24
3/5 x 24/1
3/5 x 24/1=3x24
5 x 1
= 3 x 24
5 x 1
72
5 x 1
72/5
what you do after that is you divide 72 and 5
72/5 = 14.4
so you answer is 14.4
hope this is right
To make a long distance call, your phone company charges
$1.50 to make the connection, and an additional $0.10 for
every minute that you are on the line once connected.
A) Write an equation for the price of a long-distance call, p, in
terms of the length of the call in minutes, m
B) You lost your August bill, but you know how much you paid for
the month. Write a function that will help you determine the length
of the long-distance call based on the total cost of your bill.
Answers
1. Graph the equation y=-3/2x+1 2. Write the equation of the line in slope intercept form
Answers
Answer:
The equation is already in slope intercept form, -3/2 is the slope and 12 is the y intercept.
Is this a trick question?
Step-by-step explanation:
May I have brainliest please? :)
5. Translate into an equation. Negative seven less than the product of a
number and negative two is negative seven.
2 points
Answers
Answer:
-7-x+-2=-7
Step-by-step explanation:
Negative Seven Less than a product= -7-x
adding negative two= -7-x+-2
this equation equals -7
the equation put together is= -7-x+-2=-7
Hope this helps
What is the slope of the line shown below?
Answers
Answer:
[tex]m=-\frac{2}{3}[/tex]
Step-by-step explanation:
Taking any two points on the line to find the slope
(6, -3)(-6, 5)Let us find the slope between the two points we took from the line graph
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(6,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-6,\:5\right)[/tex]
[tex]m=\frac{5-\left(-3\right)}{-6-6}[/tex]
[tex]m=-\frac{2}{3}[/tex]
HELP HELP HELP HELP HELP ME HELP ME
Answers
Answer:
30
Step-by-step explanation:
Plz help me with this
Answers
Answer:
the answer will be this
Helpppppppppppppppppp
Answers
Answer:
43°
Step-by-step explanation:
1. You need to create an equation: 3c+64+5c+82=90°
(Why 90°?)- this is a right triangle as you can see the little square
2. Then combine like terms
8c+146=90°
3. Subtract 146 from both sides
4. 8c=-56
5. Then divide 8 from both sides
C= -7
6. Then plug in -7 in 3c+64 and solve!
7. The final answer is 43
Find the slope of a line that is perpendicular to the line
y = -1/8x +3
Answers
Answer:
The slope of a line that is perpendicular to the line
y = -1/8x +3 will be: 8
Step-by-step explanation:
Given the equation
y = -1/8x +3
comparing the equation with the slope-intercept form
[tex]y=mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is -1/8.
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{-1}{8}}=8[/tex] ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]
Therefore, the slope of a line that is perpendicular to the line
y = -1/8x +3 will be: 8
5_6 x2_7
What is the answer to
5 2
_ x _
2 5 =
Answers
Answer:
if you’re talking about
5(x)6*2(x)7 then the answer is 420x^2
if it’s
5/6*2/7 the answer is 5/21 ~ 0.238095
Step-by-step explanation:
52/x=25 the answer is 52/25= 2 2/25 ~ 2.08
Please explan what your talking about next time
Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons. What is the correct portion to solve this problem?
Answers
Answer:
3/4=n/8
Step-by-step explanation:
An equation to represent the given scenario is 3/4 = n/8. Therefore, option A is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, mix 3 liters of water with 4 lemons to make lemonade.
Let n be the number of liters of water mixed with 8 lemons.
So, an equation is 3/4 = n/8
3/1 = n/2
n=6
Therefore, option A is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Branist will be rewarded.15% of 290 is what
Answers
Answer:
43.5
Step-by-step explanation:
Hope this helps! Consider Brainiest!
Answer:
43.5
Step-by-step explanation:
15%= 15/100
=0.15 × 290
= 43.5