The sum of two real numbers is 8 and their product is 14. What is the sum of their reciprocals?

Answers

Answer 1

Answer:

Step-by-step explanation:Let our two numbers be a and b . Then we can see that a+b=8 and ab=15 . Now consider

(a+b)3=a3+3a2b+3ab2+b3 by the binomial expansion. Now we have all the information to solve this, observe since a+b=8 and ab=15 . We have

(8)3=a3+3ab(a)+3ab(b)+b3

a3+b3+3ab(a)+3ab(b)=83

a3+b3+3ab(a+b)=83

a3+b3=83−3ab(a+b)

a3+b3=83−3(15)(8)=512−360=152

You can also observe that 3 and 5 fulfill those conditions so, then 33+53=27+125=152 . Which is our result.

Related Questions

(I'LL GIVE BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS MEEEE!!! :D)

Which expression results in a sum or difference of eight and eleven twenty fourths?

A) six and two twelves plus two and one half

B) four and one eighth plus four and one third

C) ten and five sixth minus two and three quarters

D) nine and two thirds minus one and there eighths

(Here is an image if needed) :

Answers

Answer:

a) 8 and two thirds

b) 4 and 11/24

c) 8 and 1/12

d)8 and 7/24

Step-by-step explanation:

Answer:

Step-by-step explanation:

Question 5 of 8
Put these substances in order of density with the most dense first and the
least dense last.
1 iron
Trubber
cotton ball
Ti helium

Answers

Answer:

centru. toc htc. toc cf. activ. cfc fgfvxv. chvv

“t is greater than zero and less than or equal to 5”
Complete the following steps to receive full credit for this question:
• The inequality translated in numerical form
• The solution graphed on a number line
• The solution in interval notation

Answers

Answer:

Numerical Form: 0 < t ≤ 5

not doing number line

interval notation: (0,5]

Step-by-step explanation:

find the rate of change (2,15.50) (4,31.00)

Answers

Answer:

The answer is 7.25

Step-by-step explanation:

I suggest you search for, "khan academy slope."

Hope this helps :)

A box contains 12 oranges and 8 bananas. What is the ratio of bananas to oranges, without simplifying?

Answers

Answer:

The ratio is eight to twelve

Square root of 45 minus square root of 5

Answers

Answer:

4.472135955

Step-by-step explanation:

Answer:

i think it's 1.7082039325

Step-by-step explanation:

Marco paid $42.40 for 6.4 Gallons of gas. What is the price of 1 gallon of gas? Group of answer choices

Answers

Answer:

6.63

Step-by-step explanation:

find the slope and y intercept for 15x= -2y-14

Answers

15x = -2y - 14
15 x + 14 = -2y
(-15/2)x - 7 = y
y = (-15/2)x - 7
Slope = -15/2
Y intercept = -7

7. You have been hired by a company to write a report on Internet companies’ Wi-Fi ranges. They have requested that all values be reported in feet using scientific notation.

Bonnewell’s Internet Company boasts that its wireless access points have the greatest range. The company claims that you can access its signal up to 3500 feet from its device. A competing company, Johnson’s Wi-Fi, has devices that extend to up to 700 feet.

Rewrite the range of each company’s wireless access devices in feet using scientific notation.

You can determine how many times greater the range of one Internet company is than the other by writing their ranges as a ratio.

Write and find the value of the ratio that compares the range of Bailey’s wireless access devices to the range of Bonnewell’s wireless access devices. Write a complete sentence describing how many times greater Bonnewell’s Wi-Fi range is than Johnson’s Wi-Fi range.

really need this

Answers

Answer: what is the question asking?

Step-by-step explanation:

What is the orders pair that is a solution to this equation, y=x+2

Answers

Answer: These are possible solutions:

(0,2) (1,3) (2,4)

Hope this helps..:)

What is 13/19 as a decimal rounded to the nearest hundredth

Answers

Answer:

0.68421052

then rounded its 0.68

Step-by-step explanation:

Find the number in the hundredth place

and look one place to the right for the rounding digit

. Round up if this number is greater than or equal to

and round down if it is less than

0.68

can iplease lz have brainliest :0

Answer:

.68

Step-by-step explanation:

13/19 = .68421... .68 is the hundredth rounding, .7 would be if rounding to tenth, and .684 if rounding to thousandth position. .68 is hundredth

HELP ASAP PLEASE :)))
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Answers

Answer:

The first one is not. The second one is. The third one is. The fourth one is not. The fifth one is not. The sixth one is.

Step-by-step explanation:

Answer: First one, no? I'm not sure its been a while

Step-by-step explanation:

slope = 3, y-intercept = -1

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

Well I really don't understand what you're asking, but I'll give it a go.

y = 3x -1

That's what the equation would look like.

Hope this is what you wanted!!!

Francisco makes $11 per hour doing part time work on Saturdays. He spends $3 on transportation to and from work. The equation y = 11x - 3 gives his earnings y, after transportation costs, for working x hours. Complete the table of values for this situation.
x=2
x=3
x=4
x=5

Answers

Answer:

x=4

Step-by-step explanation:

You want to plug each x value into the equation to complete the table of values. The x variable represents how many hours he worked

y=11(2)-3=19
y=11(3)-3=30
y=11(4)-3=41
y=11(5)-3=52

Hope this helps!

Find the slope:

(-12, -13), (-12, 1)

Group of answer choices

14

Zero

Undefined

Answers

Undefined. Also there is this website called desmos, and if you go to the graph section, they have different graphs like two point, one point, etc. so you can figure stuff out like the slope:) hope this helps

What is the slope of the line?answer

Answers

Answer: -2/3x

Step-by-step explanation:

Use the rise over run method and if it's going from left to right downards put a negative.

Please help if u get these all right i will mark brainliest

Answers

Answer:

1.

5x+2+3x
8x+2

2.

3+17x+8
11+17x

3.

19+6x+2x
19+8x

4.

4x+5^2+5x+10^2
4x+25+5x+100
9x+125

5.

5x+18+13y+12x+8y
17x+18+21y

It wasn’t specified in regard to how, it should be solved. So I just simplified them all.

helpppppppp pleasee

Answers

the answer is the first one

The first one

The y intercept is 2.5 which can be written as 5/2

The slope is negative since it is going down and to the right and for every one square down it does 2 over so the slope is -1/2

That gives the equation y = -1/2 + 5/2

Write in terms of i.
Simplify your answer as much as possible. -14

Answers

Answer:

14i^2

Step-by-step explanation:

Can someone pls tell me if I’m right I will mark brainliest

Answers

Answer:

all should be correct but the last one is -7

Step-by-step explanation:

Answer:

3,0,-7

Step-by-step explanation:

The opposite of -3 would be 3, simply switch the signs.

The opposite of 0 would be 0, because 0 simply has no opposites.

The opposite of 7 would be -7, just switch the signs again.

The polygons are similar. Find the value of X and Y

Answers

Answer:

X=8, Y=9

Step-by-step explanation:

9/6=1.5

12/1.5=8

6*1.5=9

PLS GIVE BRAINLIEST

Look at the attachment.

Answers

Answer:

12 cups

Step-by-step explanation:

21:7=3 i mean that's kinda it

3x4=12

Graph the line with the equation y = 2x – 5.

Answers

Answer:

y- intercept is -5

(0, -5)

x=5/2 +1/2 y

Step-by-step explanation:

put your first point on y -5

What is the slope
of the graph?

Answers

Answer: Where is the graph? You can solve for the slope by doing y2-y1 over x2-x1

Step-by-step explanation:

5 2/5 divided by 3/2

Answers

Answer:

5 2/5 ÷ 3/2 = 3.6

I hope this is right

hi I need help with this problem. can anyone you tell me what 5+(-3)

Answers

The answer for 5+(-3) is 2

Answer:

2 is the answer.

Step-by-step explanation:

Essentially, you are subtracting 3 from 5.

5 - 3 = 2 is the same as 5 + (-3) = 2

Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her house and her school. Given FG=2x meters, GH=1,000 meters and FH=1,200 meters. What is the value of x in meters?

Answers

Answer:

x = 100

Step-by-step explanation:

FG=2x meters, GH=1,000 meters and FH=1,200 meters.

FH = FG + GH

1200 = 2x + 1000

1200 - 1000 = 2x

200.= 2x

x.= 200/2

x = 100

Solve and graph.
3<4-2x<6

Answers

Answer:

X ( - 1, 1/2)

Step-by-step explanation:

4 - 2x > 3

4 - 2x < 6

Then solve the inquality for x

X< 1/2

X > - 1

Then u get the answer x ( - 1, 1/2)

Note: [ 1/2 is 1 over 2]

Step-by-step explanation:

3<4-2x 4-2x<6

-1<-2x -2x<2

1/2>x x>-1

x<1/2

the graph shown in pic

Can someone please help, ty!!
(Will mark brainliest)

Answers

Answer:

Yellow is correct.

You can add the valued and divide by how many values there are to find the mean

The score of 20 is an outlier and brings the mean score down by almost 10%

Step-by-step explanation:

Answer:

3: The low score causes the mean to decrease.

Step-by-step explanation:

If you add a significantly lower number, it will bring down the overall average.

Hope this helps!

Help me please and thank you

Answers

Answer:

b/-4+8=5
Multiply each side by 4
-b+32=20
Move the constant to the right
-b=20-32
-b=-12
Change the signs
b=12

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