Answers
Answer:
decimal form: 7.46410161 or the exact form: x = 4 + 2 √ 3
Step-by-step explanation:
Answer:
4 + 2√3
Step-by-step explanation:
x - 2 = √4x
Domain: √4x ≥ 0 ⇒ x - 2 ≥ 0 ⇒ x ≥ 2
(x - 2)² = (√4x)²
x² - 4x + 4 = 4x
x² - 8x + 4 = 0
D = (- 8)² - 4(1)(4) = 48 = (4√3)²
[tex]x_{1}[/tex] = [tex]\frac{8+4\sqrt{3} }{2}[/tex] = 4 + 2√3 ≈ 7.4641
[tex]x_{2}[/tex] = [tex]\frac{8-4\sqrt{3} }{2}[/tex] = 4 - 2√3 ≈ 0.5359 < 2 ⇒ [tex]x_{2}[/tex] is extraneous root
Related Questions
Evaluate the expression below if x = -2, y=3, and z= -4
8xy
Answers
Answer:64
Step-by-step explanation:8(-2)(-4)
64
In ΔXYZ the sides YZ = x, XZ = y, and YZ = z, and x>y>z. Which angle of the triangle can have measure of 60º?
Answers
Answer:
Following are the solution to this question:
Step-by-step explanation:
In the query, there is an error. This will find Angle YXZ and the angle YZX.
The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.
[tex]\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\[/tex]
[tex]\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}[/tex]
please help! thank you.
Answers
Answer:
The first one is right
Step-by-step explanation:
The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Find the translation rule and coordinates of U'.
Answers
Answer:
The original coordinate of
R is (-5, -5)
The new coordinate of
R is (-11, -11)
The translation rule is ( x - 6, y - 6)
The original coordinate of
U is (-5, 1)
The new coordinate of
U is (-5 - 6, 1 - 6)
which is
(-11, -5)
U' = (-11, -5)
Answer:
(x, y) --> (x – 6, y – 6); (–11, –5)
Step-by-step explanation:
Subtract 6 from both the x and y coordinates of U to get (-11, -5).
10. An electric scooter manufacturer estimates that the cost C in dollars) of producing x
scooters is given by C(x) = 600+ 0.05x + 0.0002x%. Find the production level, to the nearest
unit, that will minimize the average cost Č(x) per unit.
A. 1733 scooters
B.
1250 scooters
C. 600 scooters
D.
1500 scooters
Answers
Answer:
A. 1733 scooters
Step-by-step explanation:
To get x for minimum value of C bar, set derivative = 0
We Find our x.
C(x) = 600+ 0.05x + 0.0002x^2
We need average cos per unit
So divide by x both sides
C(x) / x = 600/x + 0.05x + 0.0002x
c(x)/c = Ç(x)
Therefore, Ç(x) = 600/x + 0.05x + 0.0002x
Now differentiate both side with x
dÇ(x)/dx = 600/x^2 + 0 + 0.0002
To find x for minimum Ç(x)
Set dÇ(x)/dx = 0 => -600/x^2 + 0.0002 = 0
=> x^2 = 600/0.0002
x^2 =3000000
x = √3000000
x = 1732.05
x = 1733
The local high school is selling candy bars and soda at a fundraiser. The candy bars sells for eighty-four cents and each soda costs $1.35. After the fundraiser was over , the students made $63.84 from the candy bars and $70. 20 from the soda
1. How many candy bars did they sell?
2. How many sodas did they sell?
3. What was the total amount of money made by the high school?
Answers
Answer:
1 84 cents i hope this helped
BRAINIEST, THANKS, AND 5 STAR RATING what is the equation of the line in slope intercept form?
Answers
Answer:
y = -300x
Step-by-step explanation:
The y-intercept passes through 0, in this case, we don't have to include the y intercept to the equation. The slope is -300, or vertical/horizontal (rise/run, the formula for finding slope <<) We just include the slope if there is no y intercept. So, y = -300x is the equation!
You were billed $28.50 for additional data usage on your cell phone at a rate of $9 per gigabyte. Three choices are correct ways to calculate the additional gigabytes, g, that you used. Which choice is NOT?
Answers
Answer:
b.) 9/g = 28.5
Step-by-step explanation:
a.) 9g = 28.5
b.) 9/g = 28.5
c.) 28.5 = 9 x g
d.) 28.5/9 = g
Total billing = $28.50
Rate = $9 per gigabyte
Calculate the additional gigabytes, g, that you used.
Additional gigabyte used, g = Total billing / Rate
g = $28.50 / $9
9g = 28.50
28.50 = 9 × g
g = 28.50 / 9
Option b.) 9/g = 28.5 is the incorrect way to calculate the additional gigabytes, g, that you used.
Answer:
9/g = 28.5
Step-by-step explanation:
It's attached to the image to show proof it's right
I HAVE A COMMON ASSESSMENT HELP PLZ!
The graphs of linear functions f(x) and g(x) are shown on the graph. What transformation is happening to transform f(x) to g(x)?
A. Reflection
B. Vertical Shrink
C. Vertical Stretch
D. Vertical Shift
Answers
Answer:
A. Reflection
Step-by-Step Explanation:
you're reflecting the line across the x-axis, and that transforms f(x) into g(x).
20 POINTS!!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST
Answers
Answer: your answer is 400 yd's and please pick me for brainliest
Step-by-step explanation:
40 × 10 = 400
9514 1404 393
Answer:
6x^2 +64x yd²
Step-by-step explanation:
The total horizontal width is ...
w = (x -2) +(3x) = 4x -2 . . . yards
So, the width of the downward-extending leg at right is ...
(4x -2) -(2x -2) = 2x
The total vertical height is ...
10 yds + 40 yds = 50 yds
So, the height of the downward-extending leg at right is ...
50 -3x . . . yards
__
Then the empty rectangle at upper right has an area of ...
A = LW = (3x yds)(10 yds) = 30x yd²
and the empty rectangle at lower left has an area of ...
A = LW = (2x -2 yds)(50 -3x yds) = -6x^2 +106x -100 yd²
__
The total area is the product of overall width and overall height, less the areas of the two empty rectangles:
A = (4x -2 yds)(50 yds) -30x yd² -(-6x^2 +106x -100) yd²
A = 6x^2 +64x yd² . . . . . area of the proposed parking lot
Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. Determine a system of equations that represents the given the situation. Let x be cost per pound of apples and let y be the cost per pound of bananas. Which equation represents the amount of money Lydia spent of apples and bananas? Which equation represents the amount of money Ari spent on apples and bananas?
Answers
Answer:
5x+3y=8.50 and 3x+2y=5.25
Step-by-step explanation:
because i got it correct
Answer:
b and c
Step-by-step explanation:
Gena wants to estimate the quotient of –21.87 divided by 4.79. Which expression shows the best expression to estimate the quotient using front-end estimation?
a) -21÷4
b) -21÷5
c) -20÷4
d) -20÷5
p.s, Daily question! What's your favorite song?
Answers
Answer: -20 divided by 4.
Step-by-step explanation: I'm also doing this. I also don't really want to answer daily.
Answer: -20/4 (OPTION C)
Step-by-step explanation:
you have to round then divide! i know this is late but i hope it will help others! i just did the quiz on edge so i figured i would let everyone know that option c was correct! BRAINLIEST?
Complete the table. Write each as a fraction, decimal, and percent. Fraction Decimal Percent 3% % 1.5 1% 13 20 2. 3 %
Answers
Answer:
Step-by-step explanation:
3% in a decimal is 0.03.
What is 100% as a fraction
Answers
Answer:
1/1
100% as a fraction can be written as 1/1, which can be "simplified" to 1. In other words, 100% is the whole.
Hope this helps ^-^
x three * 101 three = 2001012three
Answers
What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of p
Dennies and d dimes?
Answers
Answer:
32 cents? This is a weird phrased question!
Step-by-step explanation:
What are the two methods of finding unit rate
Answers
Answer:
The Packing Cube method and something else I cant remember it.
Step-by-step explanation:
Find the slope of a line parallel to each given line.
y= -1/4x -4
pls help asap
Answers
Answer:
Slope is -1/4 or -.25
Step-by-step explanation:
y=mx+b
slope is "m" and always has to be infront of x.
What is the remainder when 4x3+8x−32 is divided by x+10?
Answers
the equation y-7/2=1/2(x-4) is weitteb in point-slope form. what is the intercept of the equation? PLEASE HELP
Answers
Answer:
1/2 is the answer.......
Mr. Johnson has a piece of pipe 5 1/3 feet long. He decides to cut it into 3 equal pieces to use in making a railing for his porch. How long should he cut each piece?
Answers
Answer: 1.78 repeating
Step-by-step explanation:
Answer:
1 7/9
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Mr. Jordan plans to leave the total of his savings to his four children. If they all are to receive the same amount of inheritance and the total savings that he has is $501,052.40, how much will each of them receive?
Answers
Answer:
$125,263.10
Step-by-step explanation:
In order to calculate the total amount that each one of the children will receive we simply need to divide Mr. Jordan's total savings by the total amount of children that he has. This will evenly divide his savings to the children so that each one has the exact same amount.
501,052.40 / 4 = 125,263.10
Therefore, each of the four children will receive a grand total of $125,263.10
Someone help me with this please !!!!!:(
Answers
Answer:
8.1.
Step-by-step explanation:
a^2+b^2=c^2
8^2+2^2=c^2
64+4
68
and you square root it and get 8.2 so i giras is 8.1
hope it helps.
Need help anyone know how to do this
Answers
0/2 = 0
Y Coordinate: (b + b)/2
2b/2 = b
Midpoint: (calculated x, calculated y)
In this case, the midpoint should be (0, b)
please help me with this, thank you so much!!
Answers
Answer:
a. 55.5
b. 12
Step-by-step explanation:
a. 94+17=111
180-111=69
2x+69=180
2x=111
x=55.5
b. 180-90=90
5x-7+x+25= 90
6x+18=90
6x=90-18
6x=72
x=12
Which graph shows a linear function?
Answers
Solve for y 4x+5y=20
Answers
Answer:
y = (20-4x)/5
Step-by-step explanation:
5y = 20 - 4x
y = (20-4x)/5
-3v-2=-2-8v+5v How many solutions? Will mark brainlest
Answers
Answer:
infinite solutions
Step-by-step explanation:
-3v-2=-2-8v+5v
Combine like terms
-3v-2 = -2 -3v
Add 3v to each side
-3v-2+3v = -2 -3v+3v
-2 = -2
Since this is always a true statement, there are infinite solutions
algebraic expression for 15 8/9 less than the product of 5 and a number b
Answers
Answer:
[tex]15\frac{8}{9}[/tex] < 5b
Step-by-step explanation:
15 8/9 less than the product of 5 and a number b
Product of 5 and a number b;
5 x b = 5b
Now,
[tex]15\frac{8}{9}[/tex] less than
[tex]15\frac{8}{9}[/tex] < 5b
The algebraic expression is [tex]15\frac{8}{9}[/tex] < 5b
When a number is less than another, the other number is greater.
please help
Hello,
I will mark brainliest to the one who answers
my question right and who does not copy what
someone else answered No cussing and
or Inappropriate words to get marked brainliest
Thanks,
brownarietta8
P.s please tell me if my screen looks pink
Answers
Answer:
1. subtract 9 from z- z-9
2. add 9 and z - z+9
3. divide 9 by z - 9/z
4. multiply 9 by z - 9z
Step-by-step explanation:
Your welcome!
Brainliest Appreciated!
Answer:
Subtract 9 from z z-9
Add 9 and z 9+ z
divide 9 by z 9/z
multiply 9 by z 9z
P.S you screen is not pink
Step-by-step explanation: