Answers
Answer:
The sum of reciprocals is 2/3.
You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.
Step-by-step explanation:
a+b = 2
a*b = 3
1/a + 1/b = x
(a*b)*(1/a + 1/b) = (a*b)x
b + a = (a*b)(x)
2 = 3x
x = 2/3
b = 2 - a
a*(2 - a) = 3
-a^2 + 2a = 3
-a^2 + 2a - 3 = 0
a^2 - 2a + 3 = 0
let's solve the quadratic equation
a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0
(a - 1)^2 = -2
[tex]a_1 - 1 = \sqrt{2}i\\a_1 = 1+\sqrt{2}i\\\\a_2 - 1 = -\sqrt{2}i\\a_2 = 1 - \sqrt{2}i\\[/tex]
these options correspond to a and b from the original question.
Related Questions
*WILL MARK BRAINLIEST*
given the inequality 4x-y<=k-6, there is a minimum value of k in order for the point (5,0) to be part of a solution. what is the minimum value?
Answers
Answer:
26
Step-by-step explanation:
since the question asks for a value of k where the point (5, 0) is part of a solution, plug 5 into the x value and 0 into the y value:
4x-y<=k-6
4(5)-0<=k-6
20-0<=k-6
20<=k-6
26<=k
In this case, k can be equal to any number that is greater than or equal to 26 for the point (5, 0) to be a solution, but the question asks for the minimum value of k, meaning the smallest value. since the question asks for the smallest value, the answer we're looking for is 26.
lmk if this is wrong, hope it helps!!
The diameter of a circle is 9 in. Find its circumference in terms of pie
Answers
Answer:
C = 9π
Step-by-step explanation:
Please, use "pi" or "π"
The circumference of a circle of diameter 9 in is C = 9π
Tom made $273 for 13 hours of work.
At the same rate, how many hours would he have to work to make $105?
Answers
Answer:
5 hours
Step-by-step explanation:
$272 = 13h
/273 /273
$1= 0.4.......
*105 *105
105= 5
Answer:
5
Step-by-step explanation:
Henry rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the probability that he will roll a multiple of 2?
A certain bile
B unlikely
C an equal chance or 50-50 impossible
D impossible
Answers
Answer:
certain
Step-by-step explanation:
Jai rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the probability that he will roll a number between 1 and 6 (including 1 and 6)?
There are 6 possible outcomes for rolling a die numbered from 1 to 6: {1, 2, 3, 4, 5, 6}.
Within that set of outcomes, there are 6 possible ways of rolling a number between 1 and 6 (including 1 and 6): {1, 2, 3, 4, 5, 6}.
6 out of 6 is 1. When something will occur all the time, we say it is certain.
can someone please help me out on this
Answers
In a 15-sheet package of construction paper, there are 6 red sheets.
What is the probability that a randomly selected sheet will be red?
Write your answer as a fraction or whole number.
P(red)
Answers
Answer:
There is a 40% chance
Step-by-step explanation:
If 6 out of the 15 sheets were red, 6/15(100) gets the outcome of 40
Who is correct between the two of them?
Answers
Answer:
Neither.
Step-by-step explanation:
I am not completely sure, so make sure to also let other answer this before you trust me lol. I really hope this helps!!
for which value of c will the equation 2x - 5 = 2x - c have an infinite number of solutions? select all that appy
A 3
b 4
C 5
D 6
Answers
Answer:
d po
Step-by-step explanation:
i hope its help
carry on learning
one hundred people were asked about their favorite sport.
Part A
complete the two-way frequency table
Part B which of the following statements is true
Answers
Answer:categorical data listed on the left to complete the frequency table. Ways ... 100. B Jenna asked some randomly selected students whether they preferred dogs, cats, or other pets. ... part-time job. The results are shown in the two-way frequency table below. ... Two hundred students were asked about their favorite sport.
Step-by-step explanation:
A two-way table is a useful way to organize data that can be categorized by two variables. Suppose the school board asked 125 households if they would support a tax ... Make a table of the joint and marginal relative frequencies. ... The table shows the results of a survey of 100 randomly selected people entering an.
Soccer - Male; 19 Female; 31
Basketball - Male; 21 Female; 29
Total - Male; 40 Female; 60
What is a two-way frequency table?A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.
Given, one hundred people were asked about their favorite sport.
Since the Total number of humans is 50
And female who likes Soccer is 31
Thus, Male who likes Soccer = 50 - 31 = 19
Since the Total number of humans is 50
And female who likes Basketball is 29
Thus, Male who likes Basketball = 50 - 29 = 21
So,
Total males = 21 + 19 = 40
Total number of female = 29 + 31 = 60
about the two-way frequency table.False More males were surveyed than females. (since total male-to-female ratio is 2/3)
True More females like soccer.
True An equal number of people like soccer and basketball.
False Twice as many females as males like basketball.
Learn more about two-way frequency tables here:
https://brainly.com/question/29766382
#SPJ2
Complete question:
One hundred people were asked about their favorite sports.
A) Complete the two-way frequency table.
B) Indicate whether each of the following statements is "T"-True or "F"-False about the two-way frequency table.
__________________ More males were surveyed than females.
__________________ More females like soccer.
___________________ An equal number of people like soccer and basketball.
____________________ Twice as many females as males like basketball.
What is the surface area?
9 cm
9 cm
9 cm
square centimeters
Answers
Answer:
surface area of cube=6×side²
surface area of cube =6×(9cm)²
surface area of cube= 486cm²
OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-
Answers
Answer:
1.
7 x 30 is equal to 3 tens-
9 x 200 is equal to 2 hundreds-
2 x 5,000 is equal to 5 thousands-
6 x 7,000 is equal to 7 thousands-
Step-by-step explanation:
30/10 = 3
200/100 = 2
5,000/1,000 = 5
7,000/1,000 = 7
I love you it's gonna be okay :)
Find the Interquartile Range (IQR) of the following set of
data. (Round to the nearest whole number.)
$75, $69, $82, $90, $75, $73, $108, $79, $80
HELP ASAP PLEASE
Answers
Answer:
39
Step-by-step explanation:
put them in order least to greatest, then subtract 108-69=39
Probability mathematic
Answers
Answer:
1/9
Step-by-step explanation:
Probability = Expected outcome/Total outcome
From the given pi chart,
Total outcome = 360degrees (since the total angle in a circle is 360 degrees)
Since we to find the probability of scoring a 5, we can see that the angle when he scores a 5 is 40degrees, hence;
Expected outcome = 40degrees
Pr(scoring a 5) = 40/360
Pr(scoring a 5) = 1/9
Hence the probability of scoring a 5 is 1/9
Answer:
1/9
Step-by-step explanation:
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Divide the number of events by the number of possible outcomes.
How many $ pound hamburgers can be made from 2 1 pounds of ground beef?
Answers
Answer:
5.25 dalors
Step-by-step explanation:
Callculate the problem
The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the range?
Answers
what is 3 forths - 3 eigths
Answers
Answer:
3/8
Step-by-step explanation:
3/4 is equivalent to 6/8 to we can change the problem to
6/8 - 3/8 which equals 3/8
The product of 2 numbers is negative 48. If one of the numbers 16, what is the missing number?
Answers
Answer:
i think it might be -3
Step-by-step explanation:
16*-3 gives you -48
This is volume of spheres.
Can anyone give me this step by step?
Due tonight..
Answers
Answer:
Step-by-step explanation:
4/3(pi)(r)^3
4/3(pi)(0.8m)^3 (converted the cm to m)
then you can simplify it based on wither the answer is in Number*pi or just a number.
Hope this helps!
Can someone please help me in this!!
ASAP
Answers
What is m∠X to the nearest degree
A. 44
B. 36
C. 46
D. 34
Answers
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer......
A. 44Hope it helps!
Mark me brainliest pls.....
Follow me! :)
Find the mean cost of video games: $38, $67, $55, $ 49, $62
Answers
Answer:
$54.20
Step-by-step explanation:
Add all the numbers & divide by how many numbers are listed
Kayla rolls two fair number cubes each numbered 1 through 6. She needs to roll a sum of 9 or more to win a game. She rolls the number cubes one at a time. She rolls a 5 with the first number cube.
What is the probability that Kayla will win the game?
Answers
Answer:
1/6
Step-by-step explanation:
Starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12). After simplification, the final result is 1/6.
Beverly is making peanut butter-banana bread. She always doubles the amount of nuts and peanut butter chips. The total amount of chips and nuts after doubling is 4 1/2 cups. The recipe says one and a half cups of peanut butter chips, an unknown number of cups of nuts, and three very ripe bananas. Write and solve an equation to find the original amount of nuts, x, in the recipe.
ONLY WANT EQUATION
Answers
Answer: 0.75 or three-fourth of a cup of nuts
Step-by-step explanation:
What is the value of 0.2 to the third power
Answers
Answer:
I think it is 0.008
Step-by-step explanation:
Explanation: multiply base (0.2) by itself 3 times
0.2 x 0.2 x 0.2 = 0.008
Goodluck
Mika bought 4 cases of pop for $26. How many cases can she buy for $91?
Answers
Answer:
14
Step-by-step explanation:
find out how much for 1 case
1 case = 26/4
1 case = 6.5
91/6.5 = 14
14 cases
Answer:
14
Step-by-step explanation:
With $26 she can buy 4 cases
With $1 she can buy 4÷26 cases
With $91 she can buy (4÷26)×91
=2/13×91
=14
what is the formula for finding area in a triangle
Answers
Answer:
Base times Height divided by 2 or 1/2b*h
Step-by-step explanation:
Answer:
multiply the base times the height and then divide your answer by two or A=1/2bh were b=base and h=height
Step-by-step explanation:
A recipe calls for 1 1/2 c chopped dates, 3/4 c water, 1 1/2 c sugar, 1/2 c chopped nuts, 2/3 c butter, and 3 c flour to be mixed together in a bowl. When these ingredients are combined, how many cups will there be altogether?
Answers
Answer:
7 9/12
Step-by-step explanation:
1 1/2 + 3/4 + 1 1/2 + 1/2 + 2/3 + 3 =
add together with pairs
3 + 3 1/2 + 1 5/12
add again
6 1/2 + 1 3/12
7 9/12
(I think it's right not 100% percent sure but 95%)
anyways hope this helped :))
Through ten games of basketball this season, Elijah has made 2 out of 15 of his free- throws. Which word or phrase describes the probability that Elijah will hit his next free throw?
O likely
O certain
O unlikely
O an equal chance or 50-50
Answers
Answer:
Unlikely
Step-by-step explanation:
I mean Sheeeeeeesh
his free throw rate is only 13%
A garden center has 150 fruit trees to sell.
1/10 of the trees are lemon trees.
2/5 of the trees are orange trees.
1/3 of the trees are peach trees.
The rest are pear trees.
How many trees are pear trees?
Answers
Answer:25 pear trees
Step-by-step explanation:
15/150
60/150
50/150
15+60+50=125
150-125=25
What is the value of r in the following diagram.
9
6
Answers
Answer:
r = 3.75
Step-by-step explanation:
Using Pythagoras' identity in the right triangle ABC
AC² = BC² + AB²
(r + 6)² = r² + 9²
r² + 12r + 36 = r² + 81 ( subtract r² from both sides )
12r + 36 = 81 ( subtract 36 from both sides )
12r = 45 ( divide both sides by 12 )
r = 3.75