Brainliest for who can answer first!! (only the first one)
Solve the equation: √x = 3 - (1 / 4)x
Answers
Answer:
Let u = √x which gives u2= x and rewrite the given equation in terms of u
u = 3 - u 2 / 4
Multiply all terms by 4, simplify and write the above quadratic in standard form and solve it for u.
u 2 + 4 u - 12 = 0
Two solutions: u = - 6 and u = 2
Use the substitution used above u = √x to solve for x.
u = - 6 = √x has no solution
u = 2 = √x has solution x = 4
Below is shown the graph of the right side of the given equation when written with its right side equal to zero. The x intercept of the graph is the graphical solution to the equation as shown below.
Step-by-step explanation:
Answer: x = 4
Step-by-step explanation:
Given:
√x = 3 - (1 / 4)x
Rewrite:
[tex]\displaystyle \sqrt{x} = 3 - \frac{1}{4}x[/tex]
Square both sides:
[tex]\displaystyle (\sqrt{x} )^{2} = (3 - \frac{1}{4} x)^{2}[/tex]
[tex]\displaystyle x= \frac{1}{16}x^{2} -\frac{3}{2} +9[/tex]
Set the equation equal to 0:
[tex]\displaystyle \frac{-1}{16}x^{2} +\frac{5}{2} -9=0[/tex]
Use the quadratic formula:
[tex]\displaystyle x=\frac{-b\sqrt{b^{2} -4ac} }{2a}[/tex]
[tex]\displaystyle x=\frac{-(\frac{5}{2})\sqrt{(\frac{5}{2})^{2} -4(\frac{-1}{16} )(-9)} }{2(\frac{-1}{16} )}[/tex]
x = 4, 36
Plugging back into equation shows us only one answer works,
x = 4
Related Questions
Shari wants to learn more about tiger sharks. Which of the following is a statistical question Shari can ask?
Answers
Answer:
A
Step-by-step explanation:
That's the only question that is answered by statitistics
The cost of a pencil at the school store is $0.52. Which student provides the best estimate for the cost of 4 pencils?
Cora. 52 cents is about 50 cents. 4 plus 50 cents equals 4 dollars and 50 cents. Isaiah. 52 cents is about 50 cents. 4 times 50 cents equals 2 dollars. Rebea. 4 pencils is about 10 pencils. 10 plus 52 cents equals 10 dollars and 52 cents. Yolana. 4 pencils is about 10 pencils. 10 times 52 cents equals 5 dollars and 20 cents.
Cora
Isaiah
Rebecca
Yolanda
Answers
Answer:
isaiah
Step-by-step explanation:
4*.50=2 dollors
help asap pls
pls !!!!!!!!!!!!
Answers
295-250. 45
————— = ———— = 18%
250. 250
21 is 75% percent of what number?
Answers
Answer:
28
Step-by-step explanation:
21 is 75% percent of 28!
I hope this helps <3
Answer:
28
Step-by-step explanation:
i don't know how to explain it exactly
Someone pls help, I will choose brainliest. Solve for C.
Solve for C. 5²+5²=C²
Answers
Step-by-step explanation:
First step: square both 5s.
(1).........5^2 = 5 × 5 = 25
(2)........5^2 = 5 × 5 = 25
2nd step: add them.
C^2 = 25 + 25
3rd: put both sides under square root to find c by cancelling the square root sign [√] with square [ ( )^2 ].
√(C^2) = √(50)
C = 7.07
Answer:
C = 7.07
Step-by-step explanation:
If the other person doesn't mind, then can I have brainliest?
Answer both and explain how you got it then u get 30 points
chart shows how many solid,stripe and polka dot balloons there are
Answers
Answer:
First on 3/4
Step-by-step explanation:
second one 0.0
giving brainliest!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
3. Look at picture below ( Will be the red dot )
4. (7, 15)
5. (7, 6)
6. (9, 7)
This... is a complex problem. But here. I even plotted the point "Carter" for you.
4) In relation to the origin, the new point coordinates are (7,15).
5) He would have started at the coordinates (6,7).
6) He would have started at the coordinates (9,5)
I hope this helps you.
-Toremi
For the data set summarized in the boxplot, identify the interquartile range (IQR). A) 22 B) 32 C) 57 D) 75
Answers
Answer:
IQR = 22
Step-by-step explanation:
The interquartile range, or the IQR, is quartile 3 - quartile 1. The box in the middle contains quartile 1, median, and quartile 3. The median is the line inside the box, quartile 1 is the line to the left of the median, and quartile 3 is the line to the right of the median. In this case, the IQR is 70 - 48.
IQR = 22
I hope this helps and please mark me as brainliest!
The interquartile range of the data set summarized by the box plot is 22.
What is the interquartile range?
On the box in a box plot, the first line to the left represents the lower (first) quartile. 25% of the score represents the lower quartile. The third line on the box represents the upper (third) quartile.
Interquartile range = Q3 - Q1
70 - 48 = 22
To learn more about box plots, please check: https://brainly.com/question/27215146
The distance around Pauline’s block is 0.96 miles. Which student provides the best estimate for the number of miles she travels if she rides her bike abound the block 13 times? Enzo. 13 is close to 20. 20 plus 0.96 equals 20.96. Hong. 13 is close to 20. 20 times 0.96 equals 19.20. Maxime. 0.96 is about 1. 13 plus 1 equals 14. Xiu. 0.96 is about 1. 13 times 1 equals 13. Enzo Hong Maxime Xiu
Answers
Answer:
go to brainly.in and type in your question.
Step-by-step explanation:
The distance between two points on a map is 6,0 cm. Find the distance between the two points in real life if the scale of the map is 1:20 000.
Answers
x = 120000 (cm)
50 POINTS GIVING BRAINLIEST!
Answers
Answer:
m∠CAB = 90°
BD = 9
m∠ABC = 90°
arc AEC = 180°
AD = 14.5
Step-by-step explanation:
Question 1
The angle between the radius and a tangent to the circle is always 90°.
Therefore, as AC is the radius and AB is a tangent segment, m∠CAB=90°
As m∠CAB = 90°, we can use Pythagoras' Theorem to find BC (hypotenuse):
AC² + AB² = BC²
⇒ 8² + 15² = BC²
⇒ BC² = 289
⇒ BC = 17
As CD is the radius, CD = 8
Therefore, BD = BC - CD = 17 - 8 = 9
Question 2
If D is the center, then AC is the diameter. Angles at the circumference in a semicircle are always 90°. Therefore, m∠ABC = 90°
As AC is the diameter, arc AEC is half of the circle.
Therefore, arc AEC = 360° ÷ 2 = 180°
As m∠ABC = 90°, we can use Pythagoras' Theorem to find AC (hypotenuse):
BC² + AB² = AC²
⇒ 20² + 21² = AC²
⇒ AC² = 841
⇒ AC = 29
AD is the radius. A radius is half the diameter.
Therefore, AD = AC ÷ 2 = 29 ÷ 2 = 14.5
On June 1st, the value of an investment was $1400. During the month of June, the value decreased by 15%. During the month of July, the value increased by 10%. What was the value of the investment on August 1st?
Answers
Answer:
1330.
Step-by-step explanation:
15% - 10% = 5%
5% of 1400 is 70.
$1400 - $70 = 1330.
The investment had decreased in value.
What is 409 x 355676785675
Answers
Answer:
1.45471805E+14
Step-by-step explanation:
hi how are you doing!
============================================================
can i have brainiest answer please thanks friend
Answer:
145,471,805,341,075
See picture below for steps, I could not get it on paper because it was long.
I HAVE ANOTHER CLASS TODAY AND NEED TO FINISH IT RIGHT NOW (MAYBE 20 MIN MAX) SOMEBODY PLEASE HELP, ME! ANY ANNOYING OR FAKE ANSWERS WILL BE REPORTED AND I AM NOT JOKING ABOUT THIS!
Answers
Answer:
|x - 5| = 2
Step-by-step explanation:
Since we are not given a zero on the number line, we do the following:
Average = midpoint between two numbers on the number line
For this number line,
Average = 3 + 7 ÷ 2
Average = 5
Next we find how many units away are each number from the middle:
3 is 2 units away from 5
7 is 2 units away from 5
Units away = 2
Let's use the formula:
|x - average| = Units away
Substitute values into equation
|x - 5| = 2
Now we solve
Solve for x over the integers:
|x - 5| = 2
Split the equation into two possible equations:
x - 5 = 2 or x - 5 = -2
Add 5 to both sides:
x = -5 + 5 = 2 + 5 or x - 5 + 5 = -2 + 5
Answer:
x = 7 or x = 3
LOOK AT THE GRAPH AND NUMBER LINE
HELPPPPPPPP rotate figure jklm 180 degrees around the origin brainly
Answers
Answer:
see attached
Step-by-step explanation:
Turn the given picture upside down and you will see where the rotated figure ends up. Each point is reflected across the origin to a point that is the same distance from the origin.
__
Rotation 180° is the same as any of ...
reflection across the orginreflection across the y-axis, then across the x-axisreflection across the x-axis, then across the y-axisnegating both coordinates (x, y) ⇒ (-x, -y)Describe the relationships among the volumes of the solids. Which solid has the greatest volume? Which solid has the second greatest volume? Do any of the solids have the same volumes? Explain your reasoning. (Represent any volumes in terms of p.)
Answers
C and D, they have the same volume that is also the largest.
Assignment
1. The mark up price of a pair of shoes which costs $125.00 is 8.35%. a)What is the final price? If the tax is 6 1/2% How much will be paid for that pair of shoes?
2. A TV set costs $175. How much will the store get if the commission of the sales person is 12 1/2% ?
3. The bag that costs $86.50 was discounted $15.50. How much was paid for the bag? What was the discount rate?
4. The dress that Rhea bought costs $75.00. It was taxed $12.75. How much did she pay? How much was the tax rate?
Answers
Answer:
Look at photo
Step-by-step explanation:
Look at photo
Perform the following calculations. Express your answers in scientific notation.
Answers
Answer:
it is E hope you find this helpful
Answer:
A) 8 x 10^5
B) 8.2 x 10^7
C) 4.5 x 10^11
D) 9 x 10^6
E) 2.7 x 10^13
Explaination: The 10^ this means 10 to the power of any number that is meant to be there. Like 10^3 means 10 to the power of 3. just wanted you to know so you dont get confused
A triangle has an area of 54 centimeters squared. The height of the triangle is 12 centimeters. What is the base of the triangle?
Answer ASAP! and whoever gets it right can have brainliest
Answers
Answer: 9
Step-by-step explanation:
the formula for the area of a triangle is a=bh/2, since the area is 54 we would need to multiply it by 2 which would be 108 to reverse the division. then we would divide it by 12 which would be 9 to reverse the multiplication.
Answer:
[tex]beinggreat78~here.[/tex]
The base is 9
Multiply 9 by 12, which is 108, and divide by 12, which is a way of giving you 9.
for some reason brainly deleted this for not being "school related" even though it is so here's a repost, can anyone help me with this?
Answers
Answer:
1 tenth and 9 hundreds
Step-by-step explanation:
Ok so this is not a gud explanation but believe me that answer is correct
a tenth is 10% out of a hundred so thats 10/100 and since the 9 hundreds is already there 10/100+ 9/100= 19/100
Hope you have a gud day :)
I don't understand, pls help meeeeeee
Answers
Answer:
Solve for x first.
In order to solve for x, you must set up an equation where the two interior angles (1 and 2) are equal to the exterior angle (3).
Interior angles.
Angle 1 = 3x + 7Angle 2 = 2x + 24Exterior angle:
Angle 3 = 6x + 10Set up the equation:-
(3x + 7) + (2x + 24) = 6x + 10
Group and combine like terms;
(3x + 2x) + (7 + 24) = 6x + 10
5x + 31 = 6x + 10
Get rid of constants;
-10 -10
5x + 21 = 6x
-5x -5x
21 = x, the value of 'x' is 21°.
Now we plug in the value of x into angle 3's equation.
∠3 = 6x + 10
∠3 = 6(21) + 10
∠3 = 126 + 10
∠3 = 136°, ∠3 = 136°.
PLEASE HELP ASAP ILL GIVE BRAINLIEST IF CORRECT
Select from the drop-down menus to correctly complete each statement.
Quadrilateral ABCD can be mapped onto quadrilateral EFGH with a ___ followed by a ___. The figures are ___.
Answers
Answer:
The first blank is a dilation, which essentially means to shrink down in size. The second blank is transformation, to move the shape in place. The shapes are similar, since they are the same shape, but at a different size
Step-by-step explanation:
HOPE THIS HELPS IF IT DOESN'T CAN U TELL ME!!!!! :P
Never really understood this stuff. can somebody help me out? Please and thank you. (two different questions)
Answers
PLS HELP!! DUE TONIGHT!! 15 POINTS!!
Answers
Answer:
The answer is C
Answer:
the answer for this is c
Balloon dart probability question there r 2 pages
Answers
Answer:
4= 42.5%
5=87.5%
Step-by-step explanation:
i used a calculator yw
What is the sum of the factors of the trinomial 6x²-5x-6
Answers
Answer:
5x -1
Explanation:
6x²-5x-66x²-9x+4x-63x(2x-3)+2(2x-3)(3x+2)(2x-3)Factors are: (3x+2)(2x-3)
Thier sum:
(3x+2)+(2x-3)3x + 2x + 2 -35x -1Answer:
5x-1
Step-by-step explanation:
6x^2-5x-6
=6x^2-2x-3x-6
=(3x+2)(2x−3)
3x+2+2x-3
=5x-1
Anais placed 100 slips of paper, all equally sized and shaped, into a bag. Each slip was colored either red, blue, green, or orange. The red slips were numbered 1-25, the blue slips were numbered 26-40, the green slips were numbered 41-75, and the orange slips were numbered 76-100.
What is the probability that Anais pulls out a blue slip of paper?
A. 1/4
B. 3/20
C. 7/20
D. 2/5
Answers
Pls help! Show all work. Will reward the brainiest for da best answer.
The tires on a compact car are 18 inches in diameter.
a. How far does the car travel after the tires turn once? Use 3.14 as pi
b. How far does the car travel after 12 rotations of the tires? Use 3.14 as pi.
Answers
Answer:
1. 56.52 inches
2. 141,300 inches
Step-by-step explanation:
One turn of the tire is the circumference. Therefore, we have to find the circumference first. C = πd = 18π = 18 × 3.14 = 56.52 in
2500 rotations would be 2500 ⋅ 56.52 in = 141,300 in
I hope this helps and please mark me as brainliest!
hi its nice to meet you
Answers
Answer:
19.5
Step-by-step explanation:
165 divided by 8 is 19.5
Whoever gets it right can have brainliest but answer ASAP!
Answers
Answer:
3 1/3
Step-by-step explanation:
Multiply
2 1/2 * 1 1/3 = 20/6
Simplify
20/6 = 10/3 = 3 1/3
Answer:
20/6=10/3= 3 1/3
Step-by-step explanation:
3 1/3 =10/3 just simplifed
