Solve for x and y in the equation.
xy=80 and log x - 2 log y =1

Answers

Answer 1

9514 1404 393

Answer:

  (x, y) = (40, 2)

Step-by-step explanation:

Taking the antilog of the second equation, we have ...

  x/y^2 = 10

  x = 10y^2

Substituting this into the first equation gives ...

  (10y^2)y = 80

  y^3 = 8 . . . . . . . . divide by 10

  y = 2 . . . . . . . . . . cube root

  x = 10·2^2 = 40

The solution is (x, y) = (40, 2).

Solve For X And Y In The Equation.xy=80 And Log X - 2 Log Y =1

Related Questions

Which equation represents a line which is parallel
to the line y
=
-2 +62

Answers

the answer is hard to find find a hint

The product of the number g and the opposite of 7 is equal to k.
Change to an algebraic expression

Answers

answer: -7g = k

explanation: -7 is the opposite of 7
g(-7) = k. Hope this helps. You don’t need brackets by the way you can just say -7g or g times -7 if you want. Hope this helps and a Brainliest would be appreciated

subtract 8 from the input to get the output
divided the input by 3 to get the output

Answers

Answer: that will be 5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

1
6 + 10 ÷ 2 − 32 = ?

A.
2
B.
1
C.
0
D.
−1
E.
−2

Answers

Answer:

b

Step-by-step explanation:

its b

Find the slope and y-intercept of the line
f(x) = 4x - 6

Answers

Answer:

Slope: 3/2
Y-intercept: -6

Answer:

y=mx+b m= rise/run b= y-intercept (0,b)

hope this helps

Step-by-step explanation:

Silvi has a coupon for $5 off any one item at her favorite store. She must pay 6% sales tax on the discounted price. Which of the following functions represents Silvi's final cost, c, for an item with an original price of x dollars?

Answers

Answer:

vz

Step-by-step explanation:

The requried function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Let's break down the problem into steps to determine the function that represents Silvi's final cost:

Apply the $5 discount to the original price x:

New price = x - 5

Calculate the amount of sales tax on the discounted price:

Sales tax = 0.06 * (x - 5)

Add the sales tax to the discounted price to get the final cost:

Final cost = (x - 5) + 0.06 * (x - 5)

Simplifying this expression, we get:

Final cost = 1.06x - 5.3

Therefore, the function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.

Learn more about function here:

brainly.com/question/21145944

#SPJ3

What is the least common denominator for the fractions 1/6and3/4?

Answers

12.
6 x 2 = 12

4 x 3 = 12

What is the equation of the polynomial graphed below? NEED HELP ASAP! Will give Brainliest!

Answers

Answer: The answer I believe is 4

a rectangular room has an area of 384 sq feet with floor tiles covering one part of it and carpet covering the rest. the tile part is 8 ft long. the carpeted part is 24 ft long. what is the width of the room?​

Answers

8 + 24 = 32 feet long

Area = length x width

384 = 32 x width

Width = 384/32

Width = 12 feet

Answer: The room is 12 feet wide.

Step-by-step explanation: 8+24= the total length of the room. The area of anything divided by either the width or the length always gives you the missing measurement. So, 8+24=32. 384/32=12. You can check any answer you get doing one operation by taking the information you get and preforming the inverse (opposite) operation. Since the opposite of division is multiplication, all you have to do to check your answer is this: 32*12=384.

Which variable would be easier to eliminate?
- 4x - 9y= - 10
4x + 2y = 24
Оy
neither
Ох

Answers

It's easier to eliminate x because when you add both equations -4x +4x would be zero

The easier variable to eliminate is x. Because -4x+4x will be equal to 0 .
After eliminating , the equation now is -9y=-10
and 2y=24
Thus, add the equation up combine like terms. Which now is -7y=14
y=-2

•since y=-2 , now find the x value just substitute y into one of the original equation, let’s substitute to -4x-9(-2)=-10
Solve: -4x+18=-10
Subtract 18 on both side, now : -4x=-28
Divide both side by -4 and x=7
So (x,y) = (7, -2) respectively

Omar made $144 for 12 hours of work.
At the same rate, how much would he make for 8 hours of work?
Please help

Answers

Answer:

96

Step-by-step explanation:

144/12= 12 ( each hour)

12( times)  8=96

Since they got 144 for 12 hours you have to divide the hours by the money to get the amount earned ever hour so you divide the total amount by the  hour then use the information you got and then you multiply the amount of money by 8

slope = 3/2, (2,7) is on the line

Answers

Answer:

The answer would be 4.5

Find three nonzero vectors a, b, and c such that a × b = a × c != 0 but b != c.

Answers

9514 1404 393

Answer:

  a = {1, 2, 3}, b = (2, 4, 7}, c = (-3/14, -3/7, 5/14}

Step-by-step explanation:

For the above vectors, ...

  a × b = a × c = (2, -1, 0)

__

Here, c is found to be a scaled version of (a×(a×b)).

YOU ARE GIVEN AN APPLE AS A WEAPON...WHAT DO YOU DO NEXT?

(A) Keep the doctor away?
(B) Throw it hard enough to keep people away

DAILY DOSE OF MEMES TRY NOT TO OD PEEEPS

Answers

Answer:

a

Step-by-step explanation:

If you make your enemy's doctor away he will die of sickness

Which of the following is a key property of the linear parent function? It is in quadrats | and |||.

Answers

Answer:

bro i need a picture

Step-by-step explanation:

i will solve if u give me brainliest.

how do you solve 1/2x=6​

Answers

Answer:

x=12

Step-by-step explanation:

multiply 2 from both sides to isolate x

then u should end up with 1x=12

Two shooters, Rodney and Philip, practice at a shooting range. They fire 100 rounds each at separate targets. The targets are marked with circles and each bullet hitting a particular circle gets them a particular number of points. 60 rounds are selected at random. The sample mean scores of Rodney and Philip are 8 and 10, respectively. And, their variances are 0.25 and 0.50, respectively The standard error of the difference between their mean scores is ______________ (Round your answer to two decimal places.) The 95% confidence interval for the difference between the mean scores Rodney and Philip is ________ _____________: (Enter a minus sign if your answer is negative. Round your answer to two decimal places.)

Answers

Answer:

A) SE = 0.1118

B) 95% Confidence interval is;

-2.22 < μ1 - μ2 < -1.78

Step-by-step explanation:

We are given;

Sample size; n = 60

Sample mean 1; x1 = 8

Sample mean 2; x2 = 10

Variance 1; v1 = 0.25

Variance 2; V2 = 0.5

Now,

Standard deviation is given by the formula ;

σ = √variance

Thus;

σ1 = √0.25

σ1 = 0.5

σ2 = √0.5

σ2 = 0.7071

Formula for standard error of mean is;

SE = σ/√n

Thus;

SE1 = 0.5/√60

SE1 = 0.06455

SE2 = 0.7071/√60

SE2 = 0.0913

The standard error of the difference between their mean scores would be;

SE = √[(SE1)² + (SE2)²]

SE = √(0.06455² + 0.0913²)

SE = 0.1118

Formula for 95% confidence interval is;

(x1 - x2) - ((Z_α/2) × SE) < μ1 - μ2 < (x1 - x2) + ((Z_α/2) × SE)

Where Z_α/2 is the critical value. At confidence interval of 95%, we have a critical value of 1.96 from tables.

Thus, plugging in the relevant values, we have;

(8 - 10) - (1.96 × 0.1118) < μ1 - μ2 < (8 - 10) + (1.96 × 0.1118)

-2.22 < μ1 - μ2 < -1.78

f(x) =2x-4 and g(x) =-3x+2 find: f(g(x))

Answers

Answer:

f(g(x))=6x-8

Step-by-step explanation:

To keep it simple lets say if , for example

[tex]f(x)=2x-4[/tex]

then f(2) would be what?

[tex]f(2)=2(2)-4\\f(2)=0[/tex]

which means we plugged in x=2 in our f(x) this goes for same as the composite function [tex]f(g(x))[/tex] where we plug in g(x) in f(x) and replace x with g(x). I'll show you

[tex]f(x)=2x-4\\g(x)=-3x+2\\[/tex]

now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).

[tex]f(g(x))=-2(-3x+2)-4[/tex]

[tex]f(g(x))=6x-4-4\\f(g(x))=6x-8[/tex]

so that is our final answer.

Hope i helped

Plz do fast I need it for a test The front view of a tent is.shown below if a zipper.is going to be put in along the length x how long should the.zipper be

Answers

Answer:

x=15ft

Step-by-step explanation:

a^2+b^2=c^2

8^2+b^2=17^2

b^2+64=289

b^2=225

b=15

Find the square root of -90

Answers

Answer:

Negative numbers cannot have square roots.

Step-by-step explanation:

Anything multiplied by itself will always equal a positive number, not negative.

Nick's sister is 7 years less than twice Nick's age, a. The sum of Nick's age
and his sister age is 41. Which equation represents this relationship?

Answers

Answer: a+(2a - 7) = 41

Step-by-step explanation:

Let be "a" the Nicci's age and "s" the Nicci's sister.

You know that the sum of Nicci's age and her sister's age is 41. This can be represented with the following equation

You have $150 in a savings account and you have some cash. The tape diagram represents the ratio of the amounts of money. You want to have twice the amount of money in your savings account as you have in cash. How much of your cash should you deposit into your savings account?

Answers

Answer: $200

Step-by-step explanation:

We know that:

You have $150 in a savings account.

This is represented with two tiles.

Then each tile represents:

$150/2 = $75

And in cash you have 5 tiles, then in cash you have:

5*$75 = $375.

Then the problem is:

You have $150 in the savings account

You have $375 in cash.

You want to deposit a quantity such that you have twice the amount of money in your savings account as you have in cash.

Suppose that you move a quantity X from cash to the savings account, then now we have the situation:

Sav. Acc. = $150 + X

Cash = $375 - X

And we want that:

Sav. Acc. = 2*Cash

($150 + X) = 2*($375 - X)

Let's solve this for X.

$150 + X = $750 - 2*X

3*X = $750 - $150 = $600

X = $600/3 = $200

You should deposit $200 in the Savings acount.

Tape diagrams are used to represent numbers as a ratio

$200 from the cash should be deposited into the savings account

Represent the amount in the savings account with s, and the cash with c.

So, we have the following ratio from the tape diagram

[tex]\mathbf{s : c = 2 : 5}[/tex]

You have $150 in the savings account.

So, the ratio becomes

[tex]\mathbf{150 : c = 2 : 5}[/tex]

Express as fractions

[tex]\mathbf{\frac c{150}= \frac 52}[/tex]

Multiply both sides by 150

[tex]\mathbf{c= \frac 52 \times 150}[/tex]

[tex]\mathbf{c= 375}[/tex]

Let the deposited amount be x.

Twice the amount in the savings account as cash means that:

[tex]\mathbf{150 + x = 2 \times (375 - x)}[/tex]

Open brackets

[tex]\mathbf{150 + x = 750 - 2x}[/tex]

Collect like terms

[tex]\mathbf{2x + x = 750 - 150}[/tex]

[tex]\mathbf{3x = 600}[/tex]

Divide both sides by 3

[tex]\mathbf{x = 200}[/tex]

Hence, $200 from the cash should be deposited into the savings account

Read more about tape diagrams at:

https://brainly.com/question/22960561

5x-(x+3)=1/3(9x+18)-5

Answers

Answer: x=4

Step-by-step explanation:

The answer is 4 once simplified in

4 Rosie has 150 caramel
apples to sell. Each caramel apple is covered with one topping.
of the caramel apples are covered with peanuts.
are covered with chocolate chips.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
F
50
G 80
H 70
J 30
7.3B

Answers

Answer:

I'd say 50

Step-by-step explanation:

I just divided 150 by 3 since I only saw 3 toppings.

The second angle of a triangle is 3 times as large as the first. The third angle is 50º more than the first. Find the measure of the smallest angle.​

Answers

Answer:

26°

Step-by-step explanation:

m∠A + m∠B + m∠C = 180°

x + 3x + (x+50) = 180

5x + 50 = 180

5x = 130

x = 26°

I mark as brainliest ​

Answers

Answer:

D

Step-by-step explanation:

Its d Reason is if she has 5 and he has 10 he has twice as much

Use a system of linear equations with two variables and two equations to solve.

175 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.

Answers

Answer:

35 failed and 140 passed

Step-by-step explanation:

Let  p = number who passed

f = number who failed

p+f = 175

4 times the number of students passed as failed, so we need to balance this to set it equal

4f = p

Substitute this into the first equation

4r+f = 175

5f = 175

5f/5 =175/5

f = 35

Now find the number who passed

p = 4f

p = 4*35

p =140

Please Solve as Fast as You Can
The coordinates of Point A are (-1, 4). If Point A is reflected across the x-axis AND then across the y-axis, what are the coordinates of Point A now?

Answers

Answer:

(1,-4)

Step-by-step explanation:

If you reflect it over the x it would equal (-1,-4), then if you reflect it over the y it would equal (1,-4)

An analyst wants to include the level of education to a regression model. The level of education has 4 possible values: HS, BS, MS, and PhD. How many dummy variables must the analyst add to the regression model to account for this variable

Answers

Answer:

Three.

Step-by-step explanation:

An analyst wants to include Level of Education in a regression model.

Level of Education has 4 possible values - HS, BS, MS, PHD

How many dummy variables must the analyst add to the regression model, in order to account for the variable LEVEL OF EDUCATION?

Since LOE has 4 possible values, (4 - 1 = 3) dummy variables will be added to the regression model.

If the dummy letter is M for instance, and 1 represents the presence of a particular LOE and 0 represents the absence of that LOE;

M1 = 1 when LOE is HS   but =0 when LOE is otherwise

M2 = 1 when LOE is BS   but =0 when LOE is otherwise

M3 = 1 when LOE is MS   but  =0 when LOE is otherwise

So, when M1, M2, M3 are equal to 0, the PHD value is represented.

PLSSSSSS 15 POINTS

create a discount booklet using
actual advertisements available right
now. Use newspaper or flyers. Must
have actual ads for the work. You
must show your calculations for each
ad.

Answers

Actually it's 8
It's supposed to represent half of what the people who answer are getting but in total you ow 15 or 16 so it takes that amount

Answer:

You cant make this..

Step-by-step explanation:

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