please help me solve this​

Please Help Me Solve This

Answers

Answer 1

Answer: x = 16/17; y = 1/17

condition: x,y > 0

we have:

[tex]\left \{ {{\sqrt{\frac{x}{y} } =4} \atop {\frac{1}{x}+\frac{1}{y}=\frac{1}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{1}{x}+\frac{1}{y} =\frac{1}{xy} }} \right.[/tex]

because x > 0, multiply x by the second equation, we have:

[tex]\left \{ {{\frac{x}{y} =16} \atop {x(\frac{1}{y}+\frac{1}{x}) =\frac{x}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\<=>\left \{ {{\frac{x}{y} +1=17} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\=>\left \{ {{17-\frac{1}{y} =0} \atop {\frac{x}{y} =16}} \right.\\\\<=>\left \{ {{\frac{1}{y} =17} \atop {x=16y}} \right.\\\\<=>\left \{ {{y=\frac{1}{17} } \atop {x=\frac{16}{17} }} \right.[/tex]

Step-by-step explanation:


Related Questions

Mikayla went on a road trip. Two hours into the road trip, she had 15 gallons of gas in her tank. Seven hours into her trip, she had 3 gallons of gas in her tank. Find the rate of change

Answers

Answer: -2.4 gallons per hour

Step-by-step explanation:

Think of this as a linear equation where the rate of change is m.

m = (Y₂ - Y₁) / (X₂ - X₁)

Assume the points are: (2, 15) (7, 3)

m = (3 - 15) / (7 - 2)

= (-12) / 5

= - 2.4 gallons per hour

Gas is reducing by 2.4 gallons per hour.

What is the sum of (4x2+5x – 12) + (7x2 – 6x + 7)?

Answers

The sum of (4x2+5x-12) + (7x2-6x+7)= -x+17

I need help.........​

Answers

Answer:

1/12

Step-by-step explanation:

I did reverse equations, trust me. Also mark as brainliest

Please help due in 3 min

Answers

The color Orange is the answer

How do I write both of these questions in y=mx +b form?

-y-3+4x=0

-4=-3x-y

Answers

Step-by-step explanation:

1st one

y=4x-3

2nd one

y=4-3x

PLEASE HELP LOTS OF POINTS !!

Answers

It would be 24 cm i’m pretty sure, cause if you

Solve the equation

57=-3(m+5)+m

Answers

Answer:

M=-36

Step-by-step explanation:

Answer:

m = - 36

Step-by-step explanation:

57=−3(m+5)+m  

57=−3(m+)+m

57=(−3)(m)+(−3)(5)+m(

57=−3m+−15+m

57=(−3m+m)+(−15)(

57=−2m+−15

57=−2m−15  

−2m−15=57  

−2m−15+15=57+15

−2m=72 div 2

Use the table and the graph to answer the questions.
Function 1
x −1 −2 −3
y 4 6.5 9
Function 2

(a) What is the rate of change for each function? Show your work.
(b) Which function has the greater rate of change?

Answers

Answer:

_24

Step-by-step explanation:

x −1 −2 −3

y 4 6.5 9

Function 2

The graph of a polynomial function is shown. Which statement about the polynomial is true?

Answers

Answer:

The degree is odd and the leading coefficient is positive.

Step-by-step explanation:

Clearly from the graph of the polynomial function we see that both the ends of the graph are  in the opposite directions.

This means that the degree of the polynomial is odd.

( Since in even degree polynomial both the ends are in the same direction )

Also, the leading coefficient of the polynomial is positive.

Since, when a leading coefficient of a odd degree polynomial let p(x) is positive then it satisfies the following property:

when x → -∞     p(x) → -∞

and when x → ∞   p(x) → ∞

Pamela is making cupcakes. The recipe uses 5 ounces of chocolate fudge to make 20 cupcakes.
How many ounces of chocolate fudge will be used to make 60 cupcakes?
A. 3 ounces
B. 4 ounces
C. 12 ounces
D. 15 ounces

Answers

Answer:

D 15 ounces

Step-by-step explanation:

If 5 ounces for 20 cupcakes

60/ 20 =3

5 x 3 = 15

Hope this helps ^-^

(multiple choice) plz help me!!

Answers

[tex]8 \sqrt{5} is \: the \: length[/tex]

Step-by-step explanation:

[tex]( {16})^{2} = ( {x})^{2} - ( {8})^{2} \\ 256 = {x}^{2} - 64 \\ 256 + 64 = {x}^{2} \\ \sqrt{320} = \sqrt{ {x}^{2} } \\ 8 \sqrt{5} = x[/tex]

can someone help me wit dis?​

Answers

Answer:

2

Step-by-step explanation:

the answer is 7
3x+10=31
-10 -10
3x=21
/3 /3
x= 7

What property is this?
5+(6+p) = (5+6) + p

Answers

Answer:

distributive property

Step-by-step explanation: I am 88% sure

......................help

Answers

Answer:

50.528º

Step-by-step explanation:

tanA = BC/BA

tanA = 17/14

A = 50.528º

Find the value of the variable. Leave your answer in simplest radical form.

a) 2√10

b) 2√5

c) √5

d) √10

i'll give brainliest !! please

Answers

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

This is a 45-45-90 triangle whose leg to hypotenuse ratio is 1 / [tex]\sqrt{2}[/tex]

so I set up a proportion of 1 / [tex]\sqrt{2}[/tex] = x / 2 [tex]\sqrt{5}[/tex]

cross-multiply to get [tex]\sqrt{2}[/tex]x = 2[tex]\sqrt{5}[/tex]

x = 2[tex]\sqrt{5}[/tex] / [tex]\sqrt{2}[/tex] and multiply numerator and denominator by [tex]\sqrt{2}[/tex], this is called rationalizing the denominator

lets do

[tex]\\ \sf\longmapsto \sqrt{2}x=2\sqrt{5}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2\sqrt{5}}{\sqrt{2}}[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{2}\sqrt{5}[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{2(5)}[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{10}[/tex]

Za and Zb are complementary angles. Za measures 37°. What is the measure of Zb?​

Answers

Answer:

Zb= 54°

Step-by-step explanation:

Complementary angles add up to 90°

90-37=54

53 Bc complementary means 90 degrees so 37+53=90

jerry observed 5 head in tosses of his coin. Do you think this was a fair coin?

Answers

It was 50/50 chances

A regular pentagon and an equilateral triangle have the same perimeter. The perimeter of the pentagon is 5(x-2) inches. The perimeter of the triangle is 4(1/2x+2) inches. What is the perimeter of each figure?

Answers

Answer:

20 inches.

Step-by-step explanation:

We equate the perimeters:

5(x - 2) = 4(1/2x + 2)

5x - 10 = 2x + 8

5x - 2x = 8 + 10

3x = 18

x = 6

The perimeters = 5(6-2)

= 20 inches.

7 x n =42+7
A.6
B.7
C.42
D.56
E.294

Answers

Answer:

B 7

Step-by-step explanation:

7 x n = 42 +7

42+7=49

7xn=49

49÷7 = 7

n=7

List ALL the factors of 18 in increasing order

Answers

Answer:

try 45 its a great answer

I don’t know this one pls help me

Answers

Answer:

-3, 6

Step-by-step explanation:

The solution is where the two lines intersect.

Answer:

should be (-3,6)

Step-by-step explanation:

Put these numbers in order from smallest to biggest. Standard form need help ASAP!!

Answers

C because when you expand all the numbers, they go in the same order as c has them.

Use properties of operations to complete the equivalent expression. 5(y+9)=​___y+​___ 5(y+9)=nothingy+nothing

Answers

Answer:

5y+45

Step-by-step explanation:

Sx - 2y = 3
-5x + 4y = 9
Solve the system of equations.
es -
A)
x = 6, y = 3
B)
* = 6, y = 13
x = 3, y = 6
D)
x = 1, y = 0

Answers

Answer:

Yes

Step-by-step explanation:

A new bank customer with ​$4,000 wants to open a money market account. The bank is offering a simple interest rate of 1.2​%.

a. How much interest will the customer earn in 30 ​years?
b. What will the account balance be after 30 ​years?

Answers

Answer:

Interest: $1440

Total Account Balance: $5440

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.2%/100 = 0.012 per year,

then, solving our equation

I = 4000 × 0.012 × 30 = 1440

I = $ 1,440.00

The simple interest accumulated

on a principal of $ 4,000.00

at a rate of 1.2% per year

for 30 years is $ 1,440.00.

The simple Interest is $1440 and the total Account Balance: $5440.

What is simple interest?

Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.

First, converting R percent to r a decimal,

r = R/100 = 1.2%/100 = 0.012 per year,

Then, solving our equation,

I = 4000 × 0.012 × 30 = 1440

I = $ 1,440.00

The simple interest accumulated,

on a principal of $ 4,000.00

at a rate of 1.2% per year

for 30 years is $ 1,440.00.

Therefore, the simple Interest is $1440, and the total Account Balance: $5440.

To know more about simple interests follow

https://brainly.com/question/2294792

#SPJ2

Y=__X+__ ??? plz answerrr

Answers

Answer:

y=3 over -6x + 5

Step-by-step explanation:

put the 3 and -6 in a fraction

If every 7 minutes I get 10.64k dollars how long will it take for me to get 4.5 million dollars

Answers

Answer:

approx 2960.53 minutes

Step-by-step explanation:

I believe it is close to 200. .

I am giving brainliest to the right answer!

Answers

ok answer this, 7x150+10 and that should be your answer.

Answer:

x=20

Step-by-step explanation:

 there are two intersecting lines with two pairs of opposite angles each of the pairs are called vertical angles and if two angles are vertical, they are congruent

we know the angles are congruent, we also know (150=7x+10) and in order to solve for x we have to isolate x by subtracting 10 to both sides giving us  (140=7x )

divide by seven on both sides to isolate x and that will give you x=20.

hope this helps :) have a nice day !!

HELP ME ASAP PLZZ
Which table represents the function y = 3x – 1?


Input x 1 2 3
Output y 4 7 10

Input x 0 1 2
Output y -1 -2 -3

Input x 0 1 2
Output y -1 2 5

Input x 2 3 4
Output y 2 4 6

Answers

Answer:

Input x 0 1 2

Output y -1 2 5

Step-by-step explanation:

just plug in all the answers for x and solve the equation. like this:

y=3*0-1=

y=0-1=

y= -1

---------------------

y=3*1-1=

y=3-1=

y=2

--------------------------

y=3*2-1=

y=6-1=

y=5

------------------------

all the results match with the table

hope I helped God bless you

In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of ∠K, to the nearest 10th of a degree.

Answers

Given:

In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

To find:

The value of  ∠K to the nearest 10th of a degree.

Solution:

According to the Law of Sine:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

We have, In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

Using the Law of Sine, we get

[tex]\dfrac{j}{\sin J}=\dfrac{k}{\sin K}[/tex]

[tex]\dfrac{3.8}{\sin (63^\circ)}=\dfrac{4.1}{\sin K}[/tex]

[tex]3.8\sin K=4.1\sin (63^\circ)[/tex]

[tex]\sin K=\dfrac{4.1\sin (63^\circ)}{3.8}[/tex]

[tex]\sin K=0.961349[/tex]

[tex]K=\sin^{-1}(0.961349)[/tex]

[tex]K=74.0182[/tex]

[tex]K\approx 74.0[/tex]

Therefore, the measure of angle K is 74.0 degrees.

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