Answer:
-2+2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Since we have the value of x, 3+2[tex]\sqrt{2}[/tex], we can plug that value into the new equation.
We would recieve (3+2[tex]\sqrt{2}[/tex]-1)/3+2[tex]\sqrt{2}[/tex]
Which could simplify to -2+2[tex]\sqrt{2}[/tex]
[tex]x-\dfrac 1x\\\\\\=3+2\sqrt 2- \dfrac 1{3+2\sqrt 2}\\\\\\=3+2\sqrt 2 - \dfrac{3-2\sqrt2}{\left(3+2\sqrt 2\right) \left(3-2\sqrt 2 \right)}\\\\\\=3+2\sqrt 2 -\dfrac{3-2\sqrt 2}{3^2 - \left(2\sqrt 2 \right)^2}\\ \\\\=3+2\sqrt 2-\dfrac{3-2\sqrt2}{9-8}\\\\\\=3+2\sqrt 2-3+2\sqrt 2\\\\\\=4\sqrt2[/tex]
Can anyone help been stuck for a while
Question:
Can anyone help been stuck for a while
Answer:
[tex]\frac{5}{11}[/tex]
Step-by-step explanation:
30 regular flavors.
25 watermelon flavors.
Add them both and you get:
55.
Turn that into a fraction:
[tex]\frac{25}{55}[/tex]
The reason the numorator is 25 is because there are 25 watermelon flavors and 55 flavors total.
Find the GCD (or HCF) of numerator and denominator.
The GCD of 25 and 55 is 5.
Divide both the numerator and denominator by the GCD
25 ÷ 5 = 5
55 ÷ 5 = 11
Reduced fraction:
[tex]\frac{5}{11}[/tex]
Therefore, [tex]\frac{25}{55}[/tex] simplified to lowest terms is:
[tex]\frac{5}{11}[/tex]
Therefore, the answer is: [tex]\frac{5}{11} \\[/tex]
FIRST ONE TO ANSWER CORRECTLY WILL BE BRAINLIEST
Jamie and Billy each think of a polynomial. Each of their polynomials is monic, has degree 3, and has the same positive constant term and the same coefficient of x. The product of their polynomials is x^6 +2x^5 +2x^4 +18x^3 + 33x^2+40x+16.
b)What is the coefficient of x of jamie's polynomial?
c)what are the two polynomials?
Answer:
b) the coefficient of x of jamie's polynomial is 5 .
c) The two polynomials are :
x³ + 4x² + 5x + 4
x³ - 2x² + 5x + 4
Step-by-step explanation:
consider these two Monic polynomials of degree 3:
P : x³ + ax² + bx² + c
Q : x³ + a₁x² + bx² + c
P × Q = x⁶+ (a+a₁)x⁵ + (aa₁+2b)x⁴ + (ab+a₁b+2c)x³ + (ac+a₁c+b²)x² +2bcx + c²
Now we compare the coefficients of P × Q and x⁶ + 2x⁵ +2x⁴ + 18x³ + 33x² + 40x + 16
b)
c² = 16 ⇒ c = 4 (c is positive)
2bc = 40 ⇒ 8b = 40 ⇒ b = 5 then the coefficient of x of jamie's polynomial is 5 .
c)
In order to find a and a₁ we need to solve this system:
a+a₁ = 2 a+a₁ = 2
⇔
aa₁+2b = 2 aa₁ = -8
Solve the system and you’ll get :
a = 4 and a₁ = -2 or a = -2 and a₁ = 4
Let’s choose a = 4 and a₁ = -2 then
the two polynomials are respectively:
P : x³ + ax² + bx² + c = x³ + 4x² + 5x + 4
Q : x³ + a₁x² + bx² + c = x³ - 2x² + 5x + 4
Attempt 2
A student randomly selects two buttons from a box containing 32 red buttons, 48 blue buttons, 44 green buttons, and 51
yellow buttons. Compute the probability, as a decimal ratio with four decimal places, of selecting two red buttons.
The probability of drawing two red buttons is:
P = 0.0326
How to get the probability?There are:
32 red buttons.48 blue buttons.44 green buttons.51 yellow buttons.So there are a total of 32 + 48 + 44 + 51 = 175
We assume that all the buttons have the same probability to being randomly drawn.
For the first button, the probability of drawing a red one is equal to the quotient between the number of red buttons and the total number of buttons:
p = 32/175
For the second button the probability is computed in the same way, but now there are 31 red buttons and 174 buttons in total, so we have:
q = 31/174
Finally, the joint probability is given by the product between p and q, this gives:
p*q = (32/175)*(31/174) = 0.0326
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
Would a Linear, Quadratic, or Exponential model best fit?
Henry opened a bank accountwith $500. Then he deposited $100 every month.
A.Linear
B.Quadratic
C.Exponential
D.None of the Above
anyone knows the answer?!
Show how to add 2 1/2+ 4/5 using the number line below
Answer:
Start at 2 1/2 plot that. Then go to 3 3/10 which is 3 right of the whole number 3 and plot it. Lastly, draw lines or bumps to represent going from 2 1/2 to 3 3/10.
Step-by-step explanation:
The Simplest way (This includes the graphing part but I advise you to use the addition steps first)
I always like to convert mixed numbers into decimals.
2 1/2 is 2.5 and 4/5 is 0.8.
2.5 + 0.8 = 3.3 which is 3 3/10
Graph:
2 1/2 should be in the middle of the whole numbers 2 and 3.
That is your starting point.
Now to add 4/5 which is 0.8 you could do 2.5 + 0.8 = 3.3
You need to find your ending point.
Your ending point should be 3 tickmarks to the right of 3.
Now, you could draw hop marks or arrows starting from 2 1/2 to 4/5
Addition Steps:
First, convert 2 1/2 to an improper fraction.
2x2 + 1 = numerator.
4+1 = 5
5/2 is 2 1/2.
Now you need to find a common denominator for 2 and 5.
This should be 10.
Multiply 5/2 by 5/5
Multiply 4/5 by 2/2
25/10 and 8/10 should be the answers
Now do 25+8 but keep the denominator 10.
25+8 is 33/10.
You could convert it to 3.3 which is 3 3/10
3 3/10 is on your number line.
Which point is located at -0.135−0.135minus, 0, point, 135?
Answer:
Point D
Step-by-step explanation:
Each jump os 0.01 and as you go left it decreases in value but increases as it appearances. As we can see D is 3 and a half lines away from -0.1
Hope this helps and brainliest please
Answer:
point D
Step-by-step explanation:
as it increases its sums with 0.1
but in between the lines it sums up with 0.05.
What is the solution to the following system of linear equation?
y = -1x + 5
y = -1x + 2
Answer:
D. No solution
Step-by-step explanation:
Since, both the lines are going parallel to each other. Hence, there will be no solution.
which function represents this sequence (1,6) (2,18) (3,54) (4,162) (5,486)
Step-by-step explanation:
3 54 4 162 5 486
sorry if I'm wrong
A bag contains 8 red crayons 14 purple crayons 6 yellow crayons and 4 green crayons. A crayon is selected, then another is selected. Find each probability. P(green then red)
Answer:
red 8/32 = 1/4
purple 14 / 32 = 7/16
yellow 6/32 = 3/16
green 4 / 32 = 1/8
Step-by-step explanation:
if you add all the crayons together you get 32
you put each number over 32 and then divide it
HELP What is the approximate area of the shaded region created by segment BC?
simplify the expression below
5/6 (12p - 42)
Answer:
[tex]\boxed{\sf{10p-35}}[/tex]Step-by-step explanation:
Use the distributive property.
Distributive property:
A(B-C)=AB-AC A(B+C)=AB+AC[tex]\sf{\dfrac{5}{6}=(12p-42) }[/tex]
Multiply by expand.
[tex]\Longrightarrow: \sf{\dfrac{5}{6}\cdot \:12p-\dfrac{5}{6}\cdot \:42}[/tex]
Solve.
5/6*12p=10p
5/6*42=36
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract[tex]\sf{\dfrac{5}{6}\cdot \dfrac{42}{1}=\dfrac{5*42}{6} }[/tex]
Divide.
42/6=7
Multiply.
5*7=35
Subtract.
35-35=0
[tex]\Longrightarrow: \boxed{\sf{10p-35}}[/tex]
Therefore, the correct answer is 10p-35.
I hope this helps. Let me know if you have any questions.
Answer:
[tex]10p - 35[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]\frac{5}{6}(12p - 42)[/tex]
[tex](\frac{5}{6}*12p) + (\frac{5}{6} * (-42))[/tex]
[tex]\frac{60p}{6}-\frac{210}{6}[/tex]
Step 2: Simplify the expression
[tex]\frac{60p}{6}-\frac{210}{6}[/tex]
[tex]10p - 35[/tex]
Answer: [tex]10p - 35[/tex]
Find the value of each variable.
HELP
Answer:
1. x=10; y=10 x root 2
Step-by-step explanation:
This is a 45-45-90 triangle, so the legs of the right triangle have an equal length. The formula states that y=x root 2, which is 10, so 10 root 2. The other triangles are all 30-60-90 triangles.
Graham has $720 in a savings account that earns 1.5% annually. How much total will he have in 6 months?
Answer:
337,996.8 Philippine Peso Phpand here's a us
6,480 US Dollar USDAn explanation would be appreciated!!
A blueprint of a plot of land has a scale of cm to m. The length of land measures 15 cm on the blueprint. If l represents the length of the actual piece of land, what is l?
Answer:
Answer: l = 82.5
Step-by-step explanation:
11/2 x 15 = 82.5.
What is mCD. The answer is 60 but i need the work
Answer:
Arc cd = 60 degrees
Step-by-step explanation:
Angle E is an inscribed angle ....inscribed angle will intercept twice as many degrees of arc as the angle measure
angle measure = 62 twice as many degrees of arc = 124 (b-c-d)
bc = 64 so cd = 60 for the total of 124
PLEASE HELP!!!!
11.) A restaurant chain's owners are trying to decide if they want to open up a franchise in your
town. To help them decide, they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling
method? Explain.
12. Is there any bias in the following survey question? Explain.
Do you prefer delicious chocolate ice cream or boring vanilla ice cream?
Answer:
11. The sampling method is biased. This is because the researcher only interviews people coming out of the restaurant instead of people in the restaurant or walking on the street. This would be called convenience sampling.
12. There is bias in the question. The writer prefers chocolate over vanilla by the words used to describe the two flavors.
(Sorry if this was too late for you by the way.)
To rent a paint sprayer at the hardware store, there is a set fee and an hourly rate. The rental cost, c, can be determined using this equation when the paint sprayer is rented for h hours.
c = 35 + 6h
Which of these is the hourly rate?
I WILL MARK BRAINLIEST
To rent a paint sprayer at the hardware store, there is a set fee and an hourly rate. The rental cost, c, can be determined using this equation when the paint sprayer is rented for h hours.
c = 35 + 6h
Which of these is the hourly rate?
6
6h
35
35h
Answer:
6
Step-by-step explanation:
35 is the first fee, so you exclude that and so the answer would be 6
6.) Find the volume of the triangular prism
3in
20in
2in
Answer:
60 cubic inches
Step-by-step explanation:
volume of prism
= area of triangular base x length(or height)
= (1/2 x base of triangular base x height of triangular base) x length
= (1/2 x 2 x 3) x 20
= 60 cubic inches
hope this helps!
Two people are randomly chosen from an office with 4 managers and 8 office workers. If the first person, a manager, is not replaced, find the probability of choosing a second person who is an office worker.
Please help I'm desperate :(
Answer:
8/11 or 73%
Step-by-step explanation:
# of office workers to whole
Find the percentage of 8/11
Hopefully this helps, good luck!
(pls help)
Which of these graphs does not represent a function?
Answer:
d
Step-by-step explanation:
d is not a function as it doesn't have correct function potential in linear x and y axis
What is the measure of ZXYZ shown in the diagram below?
36°
114°
A. 36°
B. 39•
C. 75°
D. 78
Answer:
39 deg
Step-by-step explanation:
The measure of an exterior angle is equal to half the difference of the measure of intercepted arcs.
(114-36)/2 = 39 deg
PLS HELP ME I WILL GIVE 100
Answer:
13
Step-by-step explanation:
[tex] s = \sqrt{ {13}^{2} + {2}^{2} } = \sqrt{169 + 4} \sqrt{173} = 13.15[/tex]
[tex]t = \sqrt{ {13}^{2} + {2}^{2} + 2 {}^{2} } = \sqrt{177} = 13.30[/tex]
please helpppppppppppppppppppppp
Answer:
1/8 Hour(s) longer
Step-by-step explanation:
5/8-1/2= 1/8
Solve for x in the equation x squared minus 8 x 41 = 0.
Answer:
??
Step-by-step explanation:
well according to G it's x=4±5i lol
Step-by-step explanation:
I couldn't figure it out on my own had to G it. sorry if this doesn't help
Read this sentence from “A Spelunking Trip.”
They hastened into the cave and stood still until their eyes grew accustomed to the dim light.
Based on this sentence, what does accustomed mean?
A.fascinated by
B.unfamiliar with
C.used to
D.blind
Answer:
Used ti should be the correct answer
Step-by-step explanation:
Joe bought a house for $200,000. The value of the house can be represented by the formula V = 200,0
t represents the number of years since Joe purchased the home. About how many years will it take for
home to be worth more than twice its purchase price?
21
The value of the home after 21 years is 200,000(1.035)^21=411,886.29
20) Angel asked some of her friends to write down the types and number of pets they own. The bar graph shown here displays the information she received.
Angel predicts that the next friend she asks will not own a rabbit.
Which statement justifies Angel's prediction?
A) None of Angel's friends owns a rabbit.
B) There are more rabbits owned than birds.
C) There are fewer rabbits owned than any pet.
D) There are just as many birds owned as rabbits.
The surface area of a sphere is 200. 96 square centimeters. What is the approximate volume of the sphere? Use 3. 14 for pi
Answer:
200.96 (pi)= 631.33
200.96. (3.14)=631.01
Step-by-step explanation:
when you use (pi) the answer is 631.33
but if you use (3.14) the answer is 631.01
that's mean than the answer change
what is the correct answers NEED ANSWER ASAP
Answer:
Reflection over x-axis
Horizontal shift right 1
Vertical shift up 6
Step-by-step explanation:
see image to see how to find this infor in the equation.
Horizontal changes are in close to the x, but opposite of what you might think. Minus shifts RIGHT and plus shifts LEFT.
Answer:
Your answer:
Horizontal shift right 1.Vertical shift up 6.Reflect over the x-axis.Step-by-step explanation:
[tex]f(x)=x^2 , g(x)=-(x-1)^2+6[/tex]
[tex]y=-a(x-h)^2+k[/tex]
For g(x) our (h,k) = (1,6)
h - translate right/left, our h = 1 is right 1.
h - translate up/dqwn, our k = 6 is up 6.
If a = positive - no reflect x-axis. If a = negative - reflect x-axis.