Answers
Answer:
[tex] x = \frac{3}{2} + \frac{ \sqrt{5} }{2} ; \: \: x = \frac{3}{2} - \frac{ \sqrt{5} }{2} [/tex]
Step-by-step explanation:
[tex]1 + \frac{1}{ {x}^{2} } = \frac{3}{x} \\ \\ \frac{ {x}^{2} + 1 }{ {x}^{2} } = \frac{3}{x} \\ \\ {x}^{2} + 1 = \frac{3 {x}^{2} }{x} \\ \\ {x}^{2} + 1 = 3x \\ \\ {x}^{2} - 3x + 1 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 1 \\ b = - 3 \\ c = 1 \\ \\ x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x = \frac{ - ( - 3) \pm \sqrt{ {( - 3)}^{2} - 4 \times 1 \times 1} }{2 \times 1} \\ \\ x = \frac{ 3 \pm \sqrt{ {9 - 4}} }{2} \\ \\ x = \frac{ 3 \pm \sqrt{ {5}} }{2} \\ \\ x = \frac{3}{2} + \frac{ \sqrt{5} }{2} ; \: \: x = \frac{3}{2} - \frac{ \sqrt{5} }{2} [/tex]
Related Questions
HELP ME PLS EVERYTHING IS IN THE PICTURE
Answers
Its C
;ldwkelrnflejqvnjqefndfkvfeqvjdeklvjefoijfdvnsk;ldfhipoafsojfdshlgr
Giving 20 points please help
Answers
Step-by-step explanation:
for each top equation, there is a y value and an x value. You could plug in the bottom equation for y in the top equation since y=5x+23. Then you do order of operations and get your y-value. Then you do order of operations again and get your x-value. then its ordered pair, (x,y)
Right? I am so sorry if I am wrong <3
divide 81 -x^2 y^2 by (9-xy) (3 + xy)
Answers
Answer:
When we divide 81 -x²y² by (9-xy) (3 + xy), we determine the expression is:
[tex]\frac{81-x^2y^2}{\left(9-xy\right)\left(3+xy\right)}=\frac{9+xy}{3+xy}[/tex]
Step-by-step explanation:
Let us divide 81 -x²y² by (9-xy) (3 + xy)
so
Given the expression
[tex]\frac{81-x^2y^2}{\left(9-xy\right)\left(3+xy\right)}[/tex]
Factor -x²y² + 81 = (9+xy) (9-xy)
[tex]\frac{81-x^2y^2}{\left(9-xy\right)\left(3+xy\right)}=\frac{\left(9+xy\right)\left(9-xy\right)}{\left(9-xy\right)\left(3+xy\right)}[/tex]
Cancel the common term: 9-xy
[tex]=\frac{9+xy}{3+xy}[/tex]
Therefore, when we divide 81 -x²y² by (9-xy) (3 + xy), we determine the expression is:
[tex]\frac{81-x^2y^2}{\left(9-xy\right)\left(3+xy\right)}=\frac{9+xy}{3+xy}[/tex]
Compare the decimals using >, <, or =
.65
.8
Answers
Answer:
.65<.8
Step-by-step explanation:
.65 is less than .8
Answer
The answer is .8
Step-by-step explanation:
how do i graph y=x-6
Answers
Replace x with a FE numbers, solve for y then use the x and y values for points on the graph.
Y = x -6
X = 7
Y = 7-6
Y = 1
Point (7,1)
X = 10
Y = 10-6
Y = 4
Point(10,4)
9/12 +3/12 =?
A. 1
B. 6/12
C. 11/12
D.1/2
Answers
9/12 + 3/12 = 12/12 = 1
Therefore, 1 is your answer.
Answer:
Solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.
Option A is correct answer.
Step-by-step explanation:
We need to solve [tex]\frac{9}{12}+\frac{3}{12}[/tex]
For solving fractions we need to take LCM of denominators.
The LCM of 12, 12 is 12
So, solving:
[tex]\frac{9}{12}+\frac{3}{12}\\=\frac{9*1+3*1}{12}\\=\frac{9+3}{12}\\=\frac{12}{12}\\=1[/tex]
So, solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.
Option A is correct answer.
.
Instructions: Find the actual distance if the map has a scale of 2 cm : 21 km. According to your Boss’ research, Manhattan and The Bronx are 8.6 cm apart on the map. What is their actual distance?
(Provide a clear explanation oh how you answered the problem,meaning step by step.If you can,please provide a image of how you answered the problem.)
Answers
Answer:
90.3 km
Step-by-step explanation:
2 cm: 21 km and the boss provides 8.6 cm for manhattan-bronx distance.
a ratio can also be written as a fraction
2/21 x 8.6/x or 2:21 and 8.6:x [cross multiply to solve for x]
2 x 8.6 = 2x = 180.6 = 2x = 180.6 reduces to x =90.3
21 x 2 2
robyn has 3 pans to bake brownies for her friend she pours 1/4 cup of chocolate chips into each pan how much chocolate chips does she need in all
Answers
Answer:
3/4
Step-by-step explanation:
If she has 3 pans and pours 1/4 in each that's 3/4
Answer:
3/4 cups of choclate chips
Step-by-step explanation:
1/4+1/4+1/4=3/4
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal. A rhombus ABCD is shown with diagonal AC equal to 17.2 feet and diagonal BD equal to 14.3 feet What is the area of the farm? (1 point) a 122.98 square feet b 126 square feet c 163.96 square feet d 189 square feet
Answers
Answer:
Personally, I think it is A.
Step-by-step explanation:
14.3 x 17.2 = 245.96
245.96 ÷ 2 is 122.98
The Answer is A)
Answer:
The answer is A
Step-by-step explanation:
I took the test and I got it right trust me!!
Hope I helped!!!
Leo reads 14 pages in 1/4 hour. What is the unit rate for pages per hour? For hours per page?
Answers
Answer:
56 pages per hour
Step-by-step explanation:
multiply 14 by 4 because 1/4 * 4 = 1
Which of the following statements about a negatively skewed distribution is true? a) The distribution of the data tails to the right of the median. b) The mean and median have the same value. c) The distribution of the data tails to the left of the median. d) The distribution of the data features two modes.
Answers
Answer: c) The distribution of the data tails to the left of the median
Step-by-step explanation:
In a scenario whereby the mean is more than the mode for a particular distribution, we can say that such distribution is said to be positively skewed.
Also, when the mean in the distribution is less than the mode, we can say that the distribution is said to be negatively skewed. For a negatively skewed distribution, it should be noted that on the left side, the tail of distribution is seem to be longer.
Therefore, the correct option is C "The distribution of the data tails to the left of the median".
The option C is correct.
Negatively skewed distribution:It is a type of distribution in which more values are concentrated on the right side of the distribution graph while the left tail of the distribution graph is longer.In a distribution that is negatively skewed, the mean of negatively skewed data will be less than the median. The distribution of the data tails to the left of the median. A negative skew is generally not good.So that Option C is correct.
Learn more about the probability distribution here:
https://brainly.com/question/2500166
During National Recycling Month, Mr. Yardley's class spent 4 weeks collecting empty cans
to recycle. During Week 2, the class collected 1,256 more cans than they did during
Week. Find the total number of cans Mr. Yardley's class collected in 4 weeks.
Answers
Answer:
don't know but hope you have a good new year
Answer:
- or +
Step-by-step explanation:
i don't know
Thomas starts a canned food collection with 2 cans of food. He challenges his friends to bring 4 cans on the second day, 8 cans on the third day, and 16 cans on the fourth day. Thomas and his friends plan to collect cans for 10 days. Which statement describes why the relation between the number of days and the cans collected is a function? Select each correct answer. Each day corresponds to a unique amount of cans in this relation. The graph of the relation would pass the horizontal line test. Each amount of cans corresponds to a unique day in this relation. The graph of the relation would pass the vertical line test.
Answers
Answer:
When he first starts with two cans he id doubling the number by multiplying the number by the power of 2. so every day it would be 2,4,8,16,32,64,128,256,512,1024. So they would have 1024 cans on the tenth day.
Step-by-step explanation:
Which of the following choices will simplity (8 - 5)2 - 19 + 42
Answers
Answer:
29
Step-by-step explanation:
Max is shopping for breakfast cereal at the supermarket. He wants to determine which two cereals are in a proportional relationship according to their cost-to-size ratio.
Answers
Answer:
A and cereal C have equivalent cost-to-size ratios of $0.21 per ounce, they are in a proportional relationship.
Step-by-step explanation:
Answer:
a c
Step-by-step explanation:
Emily split up the area of a rectangle to help her solve the division equation 5{,}360 \div 5=?5,360÷5=?5, comma, 360, divided by, 5, equals, question mark.
She splits the rectangle into parts that are easy to divide by 555:
Area model split into 4 parts, each with a width of 5 units. From top to bottom the parts have a height of A units and an area of 5,000 square units; a height of B units and an area of 300 square units; a height of C units and an area of 50 square units; a height of D and an area of 10 square units. A brace labeled H spans the top 4 parts.
Answers
Answer:
s
Step-by-step explanation:
Emily used an area model for 5,360 ÷ 5 split a rectangle into four parts: A=1,000, B=60, C=10, and D=2 units and total area = 5,360 after division the answer is 1,072.
To solve the division equation 5,360 ÷ 5, Emily used an area model split into 4 parts, each with a width of 5 units. Let's use the information provided to find the values of A, B, C, and D.
The area of the first part is 5,000 square units, and its width is 5 units. Therefore, the height of this part (A) is:
A = Area / Width
A = 5,000 / 5
A = 1,000 units
The area of the second part is 300 square units, and its width is 5 units. Therefore, the height of this part (B) is:
B = Area / Width
B = 300 / 5
B = 60 units
The area of the third part is 50 square units, and its width is 5 units. Therefore, the height of this part (C) is:
C = Area / Width
C = 50 / 5
C = 10 units
The area of the fourth part is 10 square units, and its width is 5 units. Therefore, the height of this part (D) is:
D = Area / Width
D = 10 / 5
D = 2 units
Now, we have the following values:
A = 1,000 units
B = 60 units
C = 10 units
D = 2 units
To find the total area of the rectangle, we sum up the areas of all four parts:
Total Area = 5,000 + 300 + 50 + 10 = 5,360 square units
Now, we can calculate the division 5,360 ÷ 5:
5,360 ÷ 5 = 1,072
Therefore, using area model the answer to the division equation is 1,072.
learn more about area here
brainly.com/question/19755342
#SPJ2
The perimeter of a rectangular construction site is 124 meters. The width is eight meters more than 5 times the length. Find the length and width of the construction site.
Show work
Answers
Answer:
The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.
The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.
2 lengths + 2 Widths = 54. Now, it's just a plug and chug.
2(3 + 3W) + 2W = 54.
6 + 6W + 2W = 54
8W = 48
W=6
L = 3 + 3(6) = 21
To double check: 2(21) + 2(6) = 42 + 12 = 54
The Width is 6 meters, and the Length is 21 meters.
The graph of the absolute value parent function, f(x) = |x|, is stretch horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
A. g(x) = 6|x|
B. g(x) = |x + 6|
C. g(x) = |1/6x|
D. g(x) = |6x|
Answers
Answer:
Step-by-step explanation:
(C). g(x) = | [tex]\frac{1}{6}[/tex] x |
WILL GIVE BRAINLIEST
A Jewelry artist is selling at an fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.00. The artist is selling the necklaces at $12 each.
The inequality 12n>145+4n represents the situation in which the artist a profit.
Answers
Answer:
She will make a profit of one dollar because the cost of operation and production is 203 dollars in total and selling 17 necklaces she will make 204 dollars
Edit: b) She will need to sell exactly seventeen necklaces
Step-by-step explanation: Hope this helps!
Helppppppppp pleaseeee ASAP
Answers
Answer:
y = (x + 4)^2 - 3
Use Foil to solve (x + 4):
(x + 4)(x + 4) = x^2 + 8x + 16
Plug it back into original equation:
y = x^2 + 8x + 16 - 3
y = x^2 + 8x + 13 is the answer :)
round 211,647 to the nearest thousand
Answers
Answer:
...
Step-by-step explanation:
The number 211,647 rounded to the nearest thousand is 212,000. Hopefully this helps!
Answer:
212,000
Step-by-step explanation:
If we are rounding to the nearest thousand, lets take the first two digits and hide them. If we are rounding 1647 to the nearest thousand, it would be 2100. Then, add the first two digits back and now it is 212,000.
Madeline lives on a farm. Each time it rains, she uses a rain gauge (captures rain)to measure how much rain has fallen. She records the following rain measurements (in inches): 1.9, 0.6, 1/2, 1/10.
Write the rainfall amounts from least to greatest using sticky notes.
Answers
Answer:
1/10, 1/2, 0.6, 1.9
Step-by-step explanation:
1/10 is equivalent to 0.1 and 1/2 is the same as 0.5, thus making your order 1/10, 1/2, 0.6, 1.9
7 + k/4= 9
what does k=?
Answers
Answer: k=8
Step-by-step explanation: So your equation is 7+k/4=9. Remember, the goal of this problem is to isolate the k. The first thing you should do is subtract 7 from both sides. You should get k/4=2. Then, multiply both sides by 4 to isolate the k. You should get k=8. Hope this helps!
What is graph theory? Math
Answers
3.55 x 89≈ What is it close to plz help im clueless
Answers
Answer:
315.95 or 316
Step-by-step explanation:
If you multiply it you get 315.95 but that kind of equal sign signifies and the approximate sum so 316.
Find two prime numbers whose sum and difference are prime numbers. Pls help.
Answers
Answer:
2 and 3
2+3 = 5
3-2 = 1
is the number
2+3=5
3-2=1
is the number
Work our the size of angle x.
Answers
Answer:
13°
Step-by-step explanation:
180-98=82
82+85=167
180-167= 13
x= 13°
What is the slop of the line contains points (1,1) and (5,-5) write a answer as friction as simplest from (hint 2/1 should be simplified to 2)
Answers
Answer:
[tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
Given parameters:
Points = (1,1) and (5,-5)
Unknown:
Slope = ?
Solution:
The slope of the a line is the ratio of the rise of a line to its run.
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
x1 = 1
y1 = 1
x2 = 5
y2 = -5
Insert the parameters and solve;
Slope = [tex]\frac{-5 - 1}{5-1}[/tex] = [tex]\frac{-6}{4}[/tex] = [tex]-\frac{3}{2}[/tex]
Alec's dad is 36 years old. His age is 3 times Alec's age.
Answers
Answer:
12
Step-by-step explanation:
Just divide 36 by 3 and you get 12.
12
Because
You
One -tenth of books are picture books 2/10 are story books and half are science fiction and remainings are encyclopaedia what fraction are encyclopaedia
Answers
Answer:
1/5 of books are encyclopediaStep-by-step explanation:
Remaining fraction:
1 - (1/10 + 2/10 + 5/10) = 1 - 8/10 = 2/10 =1/51/5 of books are encyclopedia
Answer:
Let the total fraction of books be 1, then;
[tex]1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }[/tex]
Therefore, 1/5th of the books are encyclopaedia.