Answers
Answer:
a = √5
b ∈ (−∞,∞)
Step-by-step explanation:
(7 + 3√5)/(3 + √5) - (7 - 3√5)/(3 - √5) = a + b√5
⇔ (7 + 3√5)(3 - √5)/(3 + √5)(3 -√5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5
⇔ (7 + 3√5)(3 - √5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5
⇔ 4√5/4 = a + b√5
⇔ √5 = a + b√5
⇔ b = (5 - a√5)/5
Replace b with (5 - a√5)/5
⇒ a + (5 - a√5)/5 = √5
⇔ a × 5 + (5 - a√5)(5)/5 = √5 × 5
⇔ a × 5 + 5 - a√5 = 5√5
⇔ a × 5 - √5 × a = 5√5 - 5
⇔ a(5 - √5) = 5√5 - 5
⇔ a = √5
Related Questions
to spend to much traveling and country the day she arrived the exchange rate was 1.4 country a dollars Per country B dollars if she exchange 500 country B dollars when she arrived how many country eight dollars she receive
Answers
Answer:
She receives 700 country A dollars.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
1.4 country a dollars Per country B dollar
She exchanges 500 country B dollars, so:
1.4 country A dollars - 1 country B dollar
x country A dollars - 500 country B dollars
Applying cross multiplication:
[tex]x = 1.4*500 = 700[/tex]
She receives 700 country A dollars.
Modal 9 10 11 14 19 22 27 29 21 18 11 6
Answers
Answer:
modal is 11. it's the correct answer
Please helpppppp i will mark brainlisttttt!!!!!!!
Answers
Answer:
90-53=37 so I'm pretty sure ur last angle is 37 also because 90+53+37=180
please help me im really struggling in math and the year is almost over im trying to get as much done as possible
Answers
Answer:
It would be 11, 23, and 33
Step-by-step explanation:
because, 2 side of the triangle should add up to greater than your other side of the triangle. And so on for each of the sides.
Which of the following is equal to 6 - (-5) ?
A -11
B 1
C 11
Answers
Answer:
c 11
Step-by-step explanation:
6-(-5)=6+5=11
Answer:
C.) 11
the two negatives cancel each other out just making it
6 + 5
Joseph is going on a trip and he needs to rent a car. He looks online and finds two companies that offer different pricing options for car rentals. Company A charges $0.25 per mile plus a $50 rental fee. Company B charges $0.45 per mile plus a $20 rental fee.
What is the maximum number of miles that Joseph can drive in order for Company B to be a better buy? The company charges only for whole number mileage (not fractional increments of miles driven).
A) 125 miles
B) 149 miles
C) 150 miles
D) 151 miles
Answers
Answer:
E.The price for travelling 150 miles is same for both company.
Step-by-step explanation:
We are given that Joseph is going on a trip and he needs to rent a car.
Company A
Charge $0.25 per mile plus $50 rental fee.
Company B charges 40.45 per mile plus $20 rental fee.
A.Total distance=150 miles
Company A
Charges for 150 miles=$37.5
Total charges=37.5+50=$87.5
Company B
Charges for 150 miles==$67.5
Total charge=20+67.5=$87.5
The price for travelling 150 miles is same for both company.
But if distance greater than 150 miles such 155 miles
Company A
Total charge=$88.75
Company B
Total charges=$89.75
Company A is better deal if Joseph more than 150 miles.
If distance 145 miles
Price form company A=$86.25
Price form company B=$85.25
Company B is better deal if Joseph travel less than 150 miles.
Hence, option E is true.
I hope this helps you <3333
0/1
2(x + 3) + 5y
when
x= 5 and y= 4
Answers
Answer:
36 is the answer here
Step-by-step explanation:
Well when you subsitute the given values
x=5
and
y=4
2(5+3)+5*4
Now solve it normally like what you would do with orders of operation
10+6+20
Left to right
36
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
5mm
Answers
Answer:
1. is 5mm like the diameter or the radius and 2. the formula is V=4 /3πr^3
Step-by-Step Explanation:
Determine whether the underlined numerical value is a parameter or a statistic. Explain your reasoning. for a certain movie 64.3% of the 112 members of the audience were females
Answers
Answer:
The given numerical value is a Parameter.
Step-by-step explanation:
Given - For a certain movie 64.3% of the 112 members of the audience were females.
To find - Determine whether the underlined numerical value is a parameter or a statistic.
Proof -
Given that, 64.3% of the 112 members of the audience were females.
Now,
64.3% of 112 = [tex]\frac{64.3}{100}*112[/tex] = 72.016
Since it is not a perfect number
And Human can not be in fraction
So,
The given numerical value is a Parameter.
Construct a histogram for the following data set: 11, 17, 13, 2, 22, 18, 16, 14, 16, 21, 17, 9, 9, 7, 3
Answers
What is the least common multiple of 4 and 10?
02
0 4
20
40
Answers
Answer:
the answer is 20
if f(x) = log3x then f(3) = __ and f(27) = __
Answers
Answer:
f(3)=log9 and f(27)=log81
Write a division problem that has a quotient of 9/10 .
At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or improper fraction. Neither the dividend nor the divisor can be 9/10 .
Answers
Answer:
Ill answer this if you answer mine , |a+5|, if a is <-5
Step-by-step explanation:
NEED DONE ASAP!!
Solve. Show your steps
A.3x2 + 4 = 52
B.x2 - 121 = 0
C.(b + 4)2 = 49
Answers
Answer:
A. 3x^2 + 4 = 52
3x^2 = 52 - 4
3x^2 = 48
x^2 = 48/3
x^2 = 16
x = [tex]\sqrt{16}[/tex]
x = 4
B. x^2 - 121 = 0
x^2 = 121
x = [tex]\sqrt{121}[/tex]
x = 11
C. (b + 4 )2 = 49
2b + 8 = 49
2b = 49 - 8
2b = 41
b = 41/2
solve the following equation 1÷x=2
Answers
Answer:
Your answer would be x = 1/2
Step-by-step explanation:
1/x = 2
You would divide x on both sides...then they would cancel each other out.
But now you're left with...
1 = x•2
So, re-order the terms so constants are on the left
1 = 2x
Divide 2 on both sides...
Now you're left with
1/2=x or more practically it would be x = 1/2
Hope this helps!
One dice and one coin are tossed. What is probability that you will see HEAD on coin and dice will show a number
more than 4. Answer should be in reduced fraction format.
Answers
Answer:
1/6
Step-by-step explanation:
1/2 multiplied by 1/3
help please! i need this rn
NO LINK PLEASE
Answers
Answer:
hey dude option b is the correct answer
because it says the amount of guitars is ould be 2 less than the amount of violins
write the equation of lines shown on the graph.
Answers
Answer: um look it up or cause i dont know how to get out of answering this cause i clicked answer so this is here my bad
Step-by-step explanation:
two girls want to share 1 1/2 granola bars so that each one gets the same amount. how much will each girl get.
Answers
Answer:
3/4
Step-by-step explanation:
Each one of them will get 3/4 or 0.75
Answer:
3/4 or 0.75
Step-by-step explanation:
1 1/2 divided by 2 is 3/4 or 0.75
Check:
3/4+3/4=6/4=1 1/2
Hope this helps! Have a nice day :)
Please help urgent full explanation or short either one
Answers
Answer:
5 X 6= 30 divided by 3 = 10 -2 = 8
Step-by-step explanation:
the symbols you will insert from left to right will be X, ÷,- for the equation to make sense
Answer:
[tex]5 \times 6 \div 3 - 2[/tex]
Step-by-step explanation:
PEMDAS
first multiply 5 by 6 = 30
then divide by 3 = 10
subtract 2 = 8
what is this cuz i need help
Answers
What is the volume of the triangular prism 3.2 CM 5.4 CM 6 CM
Answers
Answer:
You must tell me which is the base , width , and height please and thank you
Step-by-step explanation:
Include a picture if you have one too
Determine the value of S in the equation 5s +3/2=9/4
Answers
Answer:
The value of s in the above equation
s = 0.15
reduce 2 hours 15 minutes 11 seconds to seconds
Answers
Answer:
8,111 Seconds
Step-by-step explanation:
The gas consumption of a vehicle varles directly as the distance traveled. If a
certain vehicle uses 15 gallons to travel 263 mlies, how many miles would it travel
on 9 gallions of gas?
Answers
Answer:
It would travel 157,8 miles with 9 gallons of gas.
Step-by-step explanation:
15 gallons / 263 miles
= 3 gallons / 52,6 miles
= 9 gallons / 157,8 miles.
5.
13 points
A piece of jewelry that regularly costs $120 is on sale for $96. What is the percent of decrease in the
price of the jewelry piece?
A 15%
B 20%
C 18%
D 30%
Answers
Answer:
The answer is B
Step-by-step explanation:
Find the solution of the following equation whose argument is strictly between 90° and 180°.
Answers
Answer:
180degreesStep-by-step explanation:
Given the complex value
z² = -81i
z = (-81i)^1/2
Get the argument of -81i
theta = arctan(y/x)
theta = arctan(-81/0)
theta = -90degrees
theta = -π/2
Since tan is negative in the secind quadrant
theta = π - π/2
theta = π/2
According to demoivres theorem
theta = 1/2 * π/2
theta = π
theta = 180degrees
jiao is a chinese student visiting family in the united states. she spent $79 on dinner for her family one evening. if the exchange rate that day is UDS to CNY = 6.51, approximately how much money did she spend in CNY?
A 12
B 125
C 495
D 857
Answers
Answer:
That day Jiao spent $CNY 514.29.
Step-by-step explanation:
Given that Jiao is a Chinese student visiting family in the United States, and she spent $ 79 on dinner for her family one evening, if the exchange rate that day is UDS to CNY = 6.51, to determine approximately how much money did she spend in CNY the following calculation must be performed:
79 x 6.51 = X
514.29 = X
Therefore, that day Jiao spent $ CNY 514.29.
Find the area of the pomposite figure
Answers
Answer:
1 ft
Step-by-step explanation:
if its wrong let me know
Answer:
Hello! answer: area = 649
Step-by-step explanation:
Formula for area of squares: base × height
Formula for area of triangles: base × height ÷ 2
15 × 22 = 330 330 ÷ 2 = 165 22 × 22 = 484
165 + 484 = 649 therefore the area is 649
value is 12, mean is 20, and standard deviation is 2.8
Answers
Lets find the upperlimit and lower limit of data .
Lower limit=Mean-SD=20-2.8=17.2Upper limit=Mean+SD=20+2.8=22.8Hence the value 12 isn't included in data
Step-by-step explanation:
Lower limit= Mean-Standard Deviation=17.2
Upper limit=Mean+ Standard Deviation= 22.8
Hence, 12 isn't included in data