Answers
Answer:
[tex]x=\pm \sqrt{21}/7[/tex]
Step-by-step explanation:
We can add 9 to both sides of the equation to get [tex]21x^2=9[/tex].
We can divide both sides of the equation by 21 to get [tex]x^2=9/21[/tex].
We take the square root of both sides of the equation to get [tex]x=\pm \sqrt{9/21}[/tex].
However, that isn't in the form we need.
We know that [tex]\sqrt{9/21}=\sqrt{9}/\sqrt{21}=3/\sqrt{21}=3\sqrt{21}/(\sqrt{21}*\sqrt{21})=3\sqrt{21}/21=\sqrt{21}/7[/tex]
so the answer is really [tex]x=\pm \sqrt{21}/7[/tex] and we're done!
Related Questions
Pls help :) need asap :)
Answers
Answer:
Step-by-step explanation:
It is not a function, a vertical line passes through two graphed points.
(-1,3) and (-1,2)
4) Ashley's Bikes rents bikes for S13 plus $5
per hour. Mary paid $38 to rent a bike.
For how many
hours did she rent the bike?
Answers
Answer:
6 hours.
Step-by-step explanation:
1st hour - 13
2nd hour - add 5 = 18
3rd hour - 23
4th hour - 28
5th hour - 33
6th hour - 38 (which is the end total)
a cylindrical tank with radius 7 m is being filled with water at a rate of 4 m3/min. how fast is the height of the water increasing?
Answers
Answer:
0.026 m / min.
Step-by-step explanation:
Volume V = π7^2h
V = 49πh
dV/dh = 49π
Rate that the volume is increasing is 4 m3/min.
So dV/dt = 4
dV/dt = dh/dt * dV/dh
4 = dh/dt * 49π
dh/dt = 4/49π
= 0.026 m / min.
The required height of the water increase is given as 0.026 m/min.
Given that,
A cylindrical tank with a radius of 7 m is being filled with water at a rate of 4 m3/min, how fast is the height of the water increasing is to be determined
Volume is defined as the ratio of the mass of an object to its density.
Here,
The volume of the cylinder =πr²h
Substitute the value in the above formula
Volume V = π7²h
V = 49πh
V/h = 49π - - - - - - - (1)
Rate of the filling the tank is given,
V/t = 4
V = 4t
Substitute this in equation 1
4t / h = 49π
h / t = 0.026 m/s.
Thus, the required height of the water increase is given as 0.026 m/min.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ5
The graph shows the function f(x) = x^2 in blue and another function g(x) in red. which of the following could the equation for g(x)?
Answers
g(x)=1/5x² is the equation for blue graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The equation of the red quadratic graph is f(x)=x²
This is the parent quadratic function or the base of the quadratic functions.
This red quadratic graph has been dilated by a certain scale factor to obtain the blue graph.
Recall that, when the scale factor is a fraction, such that 0<k<1 the graph is stretched horizontally.
The dilated graph then becomes wider than the parent function.
From the given function equations, the possible value of k can only be k=1/5
Therefore the blue graph has equation g(x)=1/5x²
Hence, g(x)=1/5x² is the equation for blue graph.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
A Bike rental place rents bikes for $22 plus $8 per hour. Mary paid $67 to rent a bike. Write and solve an equation to represent how many hours she rented the bike.
Answers
Answer:
8x+22=67
Step-by-step explanation:
5)
4
3
2
1
3
-2
-1
1
- 1
2
3 4
2
3
-4
-6
Find the slope of the line graphed.
My Answer:
Answers
Answer:
The slope is (2/5) or 0.40
Step-by-step explanation:
Slope is the rise of the line (y axis) over run (x axis). Take any two points. I picked (0,-2) and (5,0). The run is the change in x, which is (5 - 1) or 5. The rise for this change in x is (0 -(-2)) = 2. Rise/Run = 2/5 or 0.40.
i need help can some one help
Answers
Answer:
18/24 or 75%
Step-by-step explanation:
Okay so you already know that he got 16/24 which means that there were 8 questions that were wrong because 24-16= 8
So he has 16 points that we know of and 8 questions that he got wrong.
If he lost 1/4 of a point when he got it incorrect 1/4= 0.25
0.25 x 8 = 2points
So he got to points
16+ 2= 18 so now it is 18/24
If you have to show Out for 100% it would be 75%
Hope it helped!
Victor's Video Arcade pays its employees $7.95 per hour for weekday hours and $9.25 per hour for weekend hours. How much will an employe
working six consecutive days for seven hours per day if the employee starts working on a Monday? $_.00
rations with Rational Numbers (Calculator Inactive)
tor's Video Arcade pays its employees $7.95 per hour for weekday hours and $9.25 per hour for weekend hours. How much will an employe
working six consecutive days for seven hours per day if the employee starts working on a Monday? $ X 463
V 343.00on 1
on with Rational Numbers (Calculator Inactive)
Video Arcade pays its employees $7.95 per hour for weekday hours and $9.25 per hour for weekend hours. How much will an employee earn
king six consecutive days for seven hours per day if the employee starts working on a Monday? $_.00
ions with Rational Numbers (Calculator Inactive)
; Video Arcade pays its employees $7.95 per hour for weekday hours and $9.25 per hour for weekend hours. How much will an employee earn working six consecutive days for seven hours per day if the employee starts working on a Monday?
Answers
Answer:
i can't understand ur question
Connie Hamm demonstrates microwave ovens at a home décor center . She is paid $35.00 per demonstration for the first 10 demonstrations and $ 45.00 for each demonstration over 10. Also , for every microwave sold , she earns $ 20.55 . What is Hamm's commission on a day in which she makes 12 demonstrations and 4 sales ?
Answers
$35.00 x 10 = $350
$45.00 x 2 = $90
$20.55 x 4 = $82.20
350+90+82.20 = $522.20
Pleaseeee help asappp!
Answers
Answer: A and C
Step-by-step explanation:
plugging the ordered pairs into the suction on a graph is a good way to find them!
Answer:
I answered in comments but it was the first and last one :)
Step-by-step explanation:
At HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $17 per member and the number of members is 81 when annual membership fee is $24 per member. As the operator of the gym, you found out that number of members (q) and membership fee (p) have a linear relationship.
A) At what membership price, p, is the revenue maximized?
p=$??. Round your answer to 2 decimal places.
B) What is the maximum annual revenue?
R=$??. Round your answer to 2 decimal places.
Note: Round all coefficients of your revenue function to 2 decimal places.
Answers
The price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.
Since at HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $ 17 per member and the number of members is 81 when annual membership fee is $ 24 per member, and the number of members and membership fee have a linear relationship, to determine at what membership price is the maximized revenue, and what is the maximum annual revenue, the following calculations must be performed:
17 x 83 = 1411 24 x 81 = 1944 31 x 79 = 2449 38 x 77 = 2926 66 x 69 = 4554 73 x 67 = 4891 80 x 65 = 5200 94 x 61 = 5734 101 x 59 = 5959 122 x 53 = 6466 129 x 51 = 6579 150 x 45 = 6750 157 x 43 = 6751 164 x 41 = 6724
Therefore, the price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.
Learn more in https://brainly.com/question/11663530
Which table represents a linear function.
Answers
Answer:
The one you have selected is correct.
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
its b
If -13(q+4) is equal to 7q+16 what’s is q
Answers
Answer:
q = - 3.4
Step-by-step explanation:
- 13(q + 4) = 7q + 16 ← distribute parenthesis on left side
- 13q - 52 = 7q + 16 ( subtract 7q from both sides )
- 20q - 52 = 16 ( add 52 to both sides )
- 20q = 68 ( divide both sides by - 20 )
q = - 3.4
The metric system is based on multiples of 100. Please select the best answer from the choices provided A.True B.False
Answers
Answer:
true
Step-by-step explanation:
i think
20/48=40/48 which proportions is true?
Answers
Answer:
is it multiple choice what are the options??
There are many possible answers to this question, there is not enough information.
But I can figure this much.
20/48 = 40/48
[FALSE]
I’m generally not sure about how to solve this. I have more questions posted like this one if you would like to help! If anyone see’s this and would like to answer, please do as fast as possible.
Answers
Answer:
Below.
Step-by-step explanation:
First a reflection over the y-axis takes:
The point A (2, 0) to (-2, 0).
B goes to (-4,2) and C goes to (-6,0).
Then the rotation moves:
(-2,0) to A' (0, -2)
(-4, 2) to B' (-2, -4)
(-6,0) to C' (0, -6)
Find the y- intercept of the function represented by the graph?
Answers
Answer:
3 cause that's where the line is touching the y axis
Step-by-step explanation:
PLEASE HELP ANSWER THIS QUESTION
(ILL GIVE BRAINLIEST TO THE BEST ANSWER TOO)
In Earth's southern hemisphere, the summer season is from December to March and winter is from June to September. The table shows the highest temperatures recorded at the South Pole for three different months.
Graph model:
South Pole Temperatures
Month Highest temperature (°F)
January 6
June –24
November –2
Each month's highest recorded temperature is plotted on the number line.
4. Which month had the coldest of the three temperatures? Explain.
Answers
Same question here answered by me with proper explanation.Visit the link below for your ans
https://brainly.com/question/24967986?
Miles and Ella have an equal number of stickers. They find ________more stickers which brings the total number of stickers to ________.How many stickers do Miles and Ella ha
Answers
Answer:
I just made my own numbers I put 6 in the first black and 18 in the next. the boxes just say what happened
Step-by-step explanation:
Miles and Ella have an equal number of stickers. They find ____6____more stickers which brings the total number of stickers to ____18____.How many stickers do Miles and Ella ha
MILES AND ELLAS STICKERS
FOUND STICKERS
TOTAL STICKERS
please i don’t wanna fail just give me the right answer thanks<3
Answers
Answer:
number of photos: 8, 12, 20, 28, 40
time (minutes): 2, 3, 5, 7, 10
Step-by-step explanation:
Can someone please help me solve for x
Answers
Answer:
x = 8
Step-by-step explanation:
These two angles both containing an x are equal. They are called vertically opposite angles.
2x + 62 = 5x + 38 Subtract 2x from both sides
2x-2x + 62 = 5x -2x + 38 Combine
62 = 3x + 38 Subtract 38 from both sides
62 - 38 = 3x - 38 + 38 Combine
24 = 3x Divide both sides by 3
24/3 = 3x/3 Combine
8 = x
Can someone help me do this
Answers
180 = 50 + (16x + 4) + (14x + 6)
180 = 30x + 60
120 = 30x
x = 4
First, we can see that the top angle is 130°, that means the other side of the angle is 50° because that straight line must equal 180°.
Next, we know that the inside of a triangle must equal 180°. We know that one of the angle’s is 50°, that means we need to plug in the numbers and solve the other angles until the total of all three angles is 180°.
If we plug in 4 for x, this is what we get…
14(4) + 6 = 62°
16(4) + 4 = 68°
Now we know all three angles, but we can add to check…
50° + 62° + 68° = 180°
Therefore, x = 4!
You use a garden hose to fill a wading pool. If the water level rises 13 centimeters every 5 minutes and you record the data point of (10,y), what is the value of y? Use slope to justify your answer.
Answers
Determine whether the ordered pair is a solution of the linear equation y = 11r - 4 (0 -4)
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
Yes, it is a solution.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
I am assuming that 'r' is supposed to be 'x'.
⸻⸻⸻⸻
[tex]y=11r-4\\------------\\\rightarrow -4 = 11(0) - 4\\\\\rightarrow -4 = 0 -4\\\\\rightarrow \boxed{-4=-4}[/tex]
⸻⸻⸻⸻
The ordered pair is a solution. You can also tell that it is a solution because the equation given is in slope-intercept form, and '-4' is in b's spot.
⸻⸻⸻⸻
[tex]y = mx+b[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Can someone help me out please.
Answers
Step-by-step explanation:
You need to reflect the shape along the line
For BRAINILY please help
Answers
Answer:
z=55 degree
Step-by-step explanation:
because the sides are equal let say the numbers x
2x+70=180
2x=180-70
2x=110
x=55
branlist please
The ratio of hotdogs to hamburgers sold at the picnic was 3:4. If 98 dinners were sold, how many were hamburgers?
Answers
Answer:
56 Burgers
Step-by-step explanation:
First, add the 3 + 4 for a total of 7, because the total of the ratio will equal the total amount of "the dinners sold".
Then divide 98/7, which will give you 14.
Then in the ration 3:4, 4 represent burgers so multiply 14 x 4.
Which gives you 56 burgers.
Hope This Helps
solve for X.
-3 + 6 = 2x - 24
a: -30
b: -6
c: 6
d: 30
Answers
Answer:
The answer should be 13.5. but it was not given.
Step-by-step explanation:
[tex] - 3 + 6 = 2x - 24 \\ 3 = 2x - 24 \\ 24 + 3 = 2x \\ 27 = 3x \\ \frac{27}{3} = x \\ 13.5 = x \\ [/tex]
cqn you please help me out
Answers
Answer:
I mightc be able to help you out.
i bought a 5 pack of wite t shirts for 26$ what is the price per shirt
Answers
Answer:
exhausted shirt is $5.20.
Answer:
5.2
Step-by-step explanation:
over here they said that for 5 t-shiets it is 26$
so,
for 1 t-shirt it will be 26÷5= 5.2
so price per t-shir will be 5.20$
PLS MARK BRAINLIEST