What are possible values of x and y, if
[tex]2 \sqrt[3]{3xy} = - 4 \sqrt[3]{18} [/tex]

Answers

Answer 1

Answer:

y = -48/x . . . . . infinite possibilitiesfor integer solutions, see below

Step-by-step explanation:

The equation can be put into more conventional form:

  [tex]2\sqrt[3]{3xy}=-4\sqrt[3]{18} \qquad\text{given}\\\\\sqrt[3]{3xy}=-2\sqrt[3]{18} \qquad\text{divide by 2}\\\\3xy=-8\cdot 18 \qquad\text{cube both sides}\\\\y=\dfrac{-48}{x} \qquad\text{divide by $3x$}[/tex]

This shows an inverse relationship between x and y. No specific values are indicated. There are an infinite number of possible pairs of values for x and y.

__

Possible integer values are ...

  (x, y) ∈ {(-1, 48), (-2, 24), (-3, 16), (-4, 12), (-6, 8), (-8, 6), (-12, 4), (-16, 3), (-24, 2), (-48, 1), (1, -48), (2, -24), (3, -16), (4, -12), (6, -8), (8, -6), (12, -4), (16, -3), (24, -2), (48, -1)}


Related Questions

Trish made a few pans of Brownies to sell. Rachel also contributed 5 pans. Each pan of brownies was cut into 12 squares. If there were a total of 84 brownies, how many pans of brownies did Trish make.

Answers

Answer: 2 pans of brownies

Step-by-step explanation: ( i'm over 2 years late lol ) i drawed it because i'm lazy first draw rachels 5 pans ( just draw circles ) fill each circle up with 12 squares count them ( 60 ) now u need 24 more now on another piece of paper draw 2 circles and this is trish's side now fill each pan with 12 brownies trishs side has 24 brownies so....

                                       |

                          trish     |      rachel

                                24 + 60 = 84

trish has 2 pans overall

In an office building, an elevator has a maximum carrying capacity of 2,700 pounds. Based on the average weight (180 pounds male) (150 pounds female) how many males and females can fit on the elevator.

Answers

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of males on the elevator

y ----> the number of females on the elevator

we know that

The inequality that represent this situation is

[tex]180x+150y\leq 2,700[/tex]

The solution of the inequality is the shaded area below the solid line [tex]180x+150y=2,700[/tex]

The slope of the solid line is negative

The y-intercept of the solid line is (0,18)

The x-intercept of the solid line is (15,0)

see the attached figure

The solution is the triangular shaded area

The maximum number of females is 18 (when the number of males is zero)

The maximum number of males is 15 (when the number of females is zero)

chords ac and bd intercept at e if ae=6 ec=12 and dc=18 how long is be

Answers

Option A:

The length of BE is 4.

Solution:

Given data:

AE = 6, EC = 12 and DE = 18

To find the length of BE:

If two chords intersect in a circle, then the product of lengths of one segment is equal to the product of lengths of other segment.

⇒ AE × EC = DE × BE

⇒ 6 × 12 = 18 × BE

⇒ 72 = 18 × BE

Divide by 18 on both sides of the equation.

⇒ 4 = BE

Switch the sides.

BE = 4

The length of BE is 4.

Option A is the correct answer.

miss Matthews received 2 3/8 pounds of chocolate for her birthday she then received 1 7/8 for Valentine’s Day how many pounds of chocolate did she receive

Answers

You get 4 1/4 as a answer

Which graph shows the solution to the system of linear inequalities below? y>2x+1 y<2x-3

Answers

Option D: Graph C is the solution to the system of linear inequalities.

Explanation:

The system of linear inequalities are [tex]y \geq 2 x+1[/tex] and [tex]y<-2 x-3[/tex]

Let us graph the inequality [tex]y \geq 2 x+1[/tex]

Let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y \geq 2 x+1[/tex], we get,

[tex]0 \geq 2 (0)+1[/tex]

[tex]0 \geq1[/tex]

This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]

Thus, let us shade the upper part of the line in the graph.

Similarly, let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y<-2 x-3[/tex], we get,

[tex]0<-2 (0)-3[/tex]

[tex]0<-3[/tex]

This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]

Thus, let us shade the lower part of the line in the graph.

The solution to the system of linear inequality is the intersection of the two regions.

Thus, the solution of the inequality is Graph C.

Hence, Option D is the correct answer.

What is the solution to the inequality 4(x + 2) + 12 > 100

Answers

First, subtract both sides by 12:

4(x + 2) + 12 > 100
4(x + 2) > 88

While we could distribute the 4 into the parentheses and solve from their, it's so much easier and way less tedious to simply divide both sides by 4:

4(x + 2) > 88
x + 2 > 22
x > 20

43
[tex]43 \div 72[/tex]

Answers

Answer:

0.5972222 (2 repeats forever)

Step-by-step explanation:

Hope that helps!

Answer:

0.5972

Step-by-step explanation:

43 ÷ 72 = 0.59722222222....

This (2) is a repeating decimal.

Cassie bought A new sweater at the mall. its original price was $60, but there was a 10% discount. how much did gossipy for this weather

Answers

Answer: $54

Step-by-step explanation:

Original price = $60

10% discount= 10/100 × 60

= 0.01 × 60 = $6

Amount cassie paid for the sweater is original price - discount

=$60 - 6

= $54

I hope this helps

Answer:

54$

Step-by-step explanation:

jenna brought a spool of ribbon that was 5 3/4 meters long. she used 3 1/4 meters of ribbon for a craft project. how many meters of ribbon does jenna have left?

Answers

Answer:

So the answer will be 2 2/4

Step-by-step explanation:

If you need me to explain more please tell me.Hope it helps.

Jenna is left with 2 1/2 meters of ribbon for future projects.

Jenna bought a spool of ribbon that was 5 3/4 meters long and used 3 1/4 meters of it for a craft project. To calculate how much ribbon she has left, we need to subtract the length of the ribbon used from the total length of the ribbon.

Convert mixed numbers into improper fractions: 5 3/4 = (5 × 4) + 3 = 23/4 and 3 1/4 = (3 × 4) + 1 = 13/4.

Subtract the second fraction from the first: 23/4 - 13/4 = (23 - 13)/4 = 10/4.

Simplify the result: 10/4 = 2 2/4 = 2 1/2 meters.

I’m at so confused !!

Answers

Answer:

hope it helps you see the attachment for further information

Identify the numerical coefficient.
5b^6​

Answers

Answer:

5

Step-by-step explanation:

what is the simple interest , help asap . thank you .
$ 850 , 4% , 6 months

Answers

Answer:

I = 2.04.

Step-by-step explanation:

From the question we are asked that what is the simple interest ,

$ 850 , 4% , 6 months

using the formula

simple interest = prt/100

I = interest

P= principal

R = rate.

our P = $850

R = 4% = 4/100 = 0.04

T = 6months

I = (850 × 0.04 × 6)/ 100

I = 204/100

I = 2.04.

Which relation is not a function?

Answers

Answer: Choice D

[tex]y = \pm\sqrt{x}[/tex]

==================================================

Explanation:

The plus/minus indicates we have two equations, and they are

[tex]y = \sqrt{x} \text{ or } y = -\sqrt{x}[/tex]

If x is say x = 4, then y is both y = 2 and y = -2 at the same time.

A function is where any x input leads to exactly one and only one y output (assuming the x value is in the domain). Graphing out choice D shows that it fails the vertical line test. This is where a vertical line crosses through more than one point on the graph. For the other answer choices, it is impossible to draw a vertical line through more than one point on the graph, which visually shows they are functions.

What is the value of X?
x = 32
x = 36
II 111111
x = 37
(x + 15)
(4x - 20°
x = 40

Answers

Answer:

Option D, x = 40

Step-by-step explanation:

Since x and (4x - 20) are supplementary, that means they add up to 180 degrees.

Step 1:  Make an equation

x + (4x - 20) = 180

Step 2:  Combine like terms

x + 4x - 20 = 180

5x - 20 = 180

Step 3:  Add 20 to both sides

5x - 20 + 20 = 180 + 20

5x = 200

Step 4:  Divide both sides by 5

5x / 5 = 200 / 5

x = 40

Answer:  Option D, x = 40

X + (4X - 20) = 180; so X = 40

Find the missing side

Answers

Answer:

7

Step-by-step explanation:

1: 6 X _ = 18

2: 18/6 = 3

3: 21/3 = 7

What is the estimate sum of 3 4/15

Answers

Answer:

a good estimate of the sum of 3 and 4/15 is 3 1/4.

Step-by-step explanation:

4/15 is close to 4/16, or 1/4, so a good estimate of the sum of 3 and 4/15 is

3 1/4.

Expand the polynomial: (6x^2−11y^3)(−6x^2−11y^3)

Answers

on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex] is [tex]121y^6 -36x^4[/tex] .

Step-by-step explanation:

We have , (6x^2−11y^3)(−6x^2−11y^3):

[tex](6x^2-11y^3)(-6x^2-11y^3)[/tex]

[tex](6x^2-11y^3)(-6x^2-11y^3)[/tex]

We know that :

[tex](a +b)(c+d) = (ac+ad+ad+bd)[/tex]

⇒ [tex](6x^2(-6x^2) - 11y^3(-6x^2) )+(6x^2(-11y^3) + (-11y^3)(-11y^3))[/tex]

⇒ [tex](-36x^4+66x^2y^3 -66x^2y^3 + 121y^6)[/tex]

⇒ [tex](-36x^4+ 121y^6)[/tex]

⇒ [tex]121y^6 -36x^4[/tex]

Therefore, on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex] is [tex]121y^6 -36x^4[/tex] .

please help...its for Delta math. will mark brainliest and I will be ur friend♥

Answers

The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.

Step-by-step explanation:

Step 1:

To determine if the function represents growth or decay, we substitute values to x.

If the values increase with an increase of x, it represents growth.

If the values decrease with an increase of x, it represents decay.

Step 2:

If [tex]x= 10,[/tex] [tex]y = 1,300 (\frac{1}{2})^{\frac{10}{69} } = 1,300 (0.9044) = 1,175.72.[/tex]

If [tex]x=11,[/tex][tex]y = 1,300 (\frac{1}{2})^{\frac{11}{69} } = 1,300 (0.8953) = 1,163.89.[/tex]

So as x increases the value of y decreases, so it represents decay.

Step 3:

The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.

The percentage rate of change [tex]= \frac{y(x=11) - y(x=10)}{y(x=10)}.[/tex]

Substituting the values, we get

The percentage rate of change [tex]=\frac{1,175.72-1,163.89}{1,175.72}(100) = 1.00619\%[/tex].

As the values of y decrease with an increase in x, it is the percent decrease per unit.

Answer:

The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.

Step-by-step explanation:

Because your Beautiful

a line passes through the points -3 -4 and 6 2 what is the Y intercept of this line? -3 -2 2 or 3​

Answers

Answer:

y=-2

Step-by-step explanation:

Hello : let  A(-3,-4)    B(6,2)

the slope is :   (YB - YA)/(XB -XA)

(2+4)/(6+3)  = 6/9 = 2/3

an equation is the line is : y = ax+b        a is a slope

y = (2/3)x+b

but this line passes by (6;2)

so : 2 = (2/3)(6)+b

b = -2

the equation is : y = (2/3)x-2

the the Y intercept of this line when : x= 0   so : y = (2/3)(0)-2

y=-2

A daycare made $40 during their first month in business. They doubled the amount of money they earned each month. What is the total amount of money they earned after a year? $4096 $81,900 $163,800 $81,920

please give answer and way you found it im trying to learn but the way my teacher explained it doesn't make sense

Answers

Answer:

$81,920

Step-by-step explanation:

money made by january: $40

double that

money made by february: $80

double that

money made by march: $160

double that

money made by april: $320

double that

money made by may: $640

double that

money made by june: $1,280

double that

money made by july: $2,560

double that

money made by august: $5,120

double that

money made by september: $10,240

double that

money made by october: $20,480

double that

money made by november: $40,960

double that

money made by december: $81,920

the total money they made by the end of the year (december) was $81,920

Answer:

$163,800

Step-by-step explanation:

40, 80, 160, 320...

It's a geometric progression

With first term = 40

Common ratio = 80/40 = 2

After 1 year is 12 months

Find S12.

S12 = 40(2¹² - 1)/(2 -1)

= 163800

What is the next number and why ? 1,3,11,35,99,_

Answers

Answer: 241

Step-by-step explanation:

This is a simple problem when using Pascal's triangle. First you look at 1 - 3, what is the difference in these 2 numbers? Its 2, then you look at 3 and 11, the difference is 8, then 11 and 35, the difference is 24. If you keep doing this you get; 2 8 24 64 142. Next you find out how these numbers are different. In the end you keep doing this until you get to the triangles point or the differences converge.

                                          1      3      11      35     99      241

                                             2      8     24       64    142

                                                6      16      40      78

                                                     10     24      38

                                                          14       14

In the end we get 14 but there is no difference in the numbers so we cant go any farther. Hope this helps!

If twice a number, n, is 5 less than the number squared, which of the following equations could be used to properly solve for n?

Answers

Answer:

2n - 5 = n^2 (or n squared)

The equation that could be used to properly solve for n is [tex]n^2 - 2n - 5 = 0[/tex]

Mathematical equations

To properly solve for the number, n, based on the given information, you can use the equation:

[tex]2n = n^2 - 5[/tex]

This equation represents the statement "Twice a number, n, is 5 less than the number squared." It sets the twice of the number (2n) equal to the number squared minus 5 (n^2 - 5).

To solve for n, you can rearrange the equation as follows:

[tex]n^2 - 2n - 5 = 0[/tex]

You can then solve this quadratic equation for n using methods such as factoring, completing the square, or the quadratic formula.

More on mathematical equations can be found here: https://brainly.com/question/29514785

#SPJ3

Use the distributive property to solve : 20 (30 - 15) =

Answers

Answer:

the distribute property is basically taking the number outside the parenthesis and multiplying with the numbers inside each by each.

Step-by-step explanation:

20(30-15)

20×30= 600, and 20×15=300

finally you just use the new numbers and solve the solution which is 600-300. The answer is 300

Answer: 300

Step-by-step explanation: The distributive property tells us that when there's a number outside a set of parentheses, you can multiply it times each of the terms that are inside the set of parentheses and then add those products together.

So in this problem, we can multiply 20 (30) - 20 (15) which simplifies to 600 - 300 which is 300.

What is the inverse of y=(x-6)^2 +2 ?

Answers

Answer:

Step-by-step explanation:

Answer:

x=√y+2 + 6

Step-by-step explanation:

y=(x-6)^2+2

Substrate 2 from both sides

y-2=(x-6)^2

Square root both sides

√y-6=x-6

Add 6 to both sides

√y-6 +6= x

Therefore,x=√y-6 + 6

Which of the following provides the best description of the function of genes?

A. Ridding individual cells of waste products.

B. Relaying information from the environment.

C. Producing energy through cellular respiration.

D. Controlling the production of specific proteins.

Answers

Answer: A

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Genes are our genetic makeup. The way we look, act, talk etc. The way they work is to make protiens for our DNA, as in produce "specific" proteins for ourself.

Determine all the zeros of m(x) = x² - 4x + 3 , algebraically

Answers

The values of the zero are 1 and 3 if the quadratic function is m(x) = x² - 4x + 3 after solving algebraically.

What is a quadratic equation ?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have quadratic function:

m(x) = x² -4x + 3

m(x) = x² -x - 3x + 3

m(x) = x(x -1) -3(x - 1)

m(x) = (x - 1)(x - 3)

x -1 = 0 or x -3 = 0

x = 1  or  x = 3

Thus, the values of the zero are 1 and 3 if the quadratic function is m(x) = x² - 4x + 3 after solving algebraically.

Learn more about quadratic equations here:

brainly.com/question/2263981

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The zeros of the quadratic function m(x) = x² - 4x + 3 are found using the quadratic formula, yielding two solutions, x = 1 and x = 3.

To find the zeros of the quadratic function m(x) = x² - 4x + 3, we first note that it is already in standard form, with a = 1, b = -4, and c = 3. The quadratic formula, which states if ax² + bx + c = 0, then x = (-b ± √(b² - 4ac)) / (2a), can be used to find the solutions. Substituting the values, we get:

x = (4 ± √((-4)² - 4(1)(3))) / 2(1)

x = (4 ± √(16 - 12)) / 2

x = (4 ± √4) / 2

x = (4 ± 2) / 2

This results in two solutions:

x = (4 + 2) / 2 = 6 / 2 = 3

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

Therefore, the zeros of the function m(x) are 1 and 3.

Tanya is making a scale model of a tower. The tower is 90m tall and 22.5m wide . Tanya’s model is 4.5 com wide. How tall is her model?

Answers

Answer:

20

Step-by-step explanation:

–2(g − 13) + 15 = 1


how do you do this

Answers

Answer:

3bzycukznwvy knsheuje6d9qk3vhdurkgyvuf6dyguts bl es yvhuv

Answer:

g = 20

Step-by-step explanation:

−2 (g − 13) + 15 = 1

Step 1: Simplify both sides of the equation.

−2 (g−13) + 15 = 1

(−2) (g) + (−2) (−13) + 15 = 1 (Distribute)

−2g + 26 + 15 = 1

(−2g) + (26 + 15) = 1 (Combine Like Terms)

−2g + 41 = 1

−2g + 41 = 1

Step 2: Subtract 41 from both sides.

−2g + 41 − 41 = 1 − 41

−2g = −40

Step 3: Divide both sides by -2.

−2g/−2 = −40/−2

g = 20

Please answer ASAP!! Consistently wash your hands for 1 minute.

Answers

Each peach costs $0.56 and the equations used to solve that is [tex]4x= 2.24[/tex] where x is the cost of 1 peach.

Step-by-step explanation:

Step 1:

It is given that all the peaches weigh the same and that 4 peaches weigh 1 pound.

Assume that each peach costs x.

So the cost for 4 peaches is given by [tex]4x.[/tex]

Step 2:

The cost of 1 pound of peaches is given as $2.24.

1 pound of peaches[tex]=4x.[/tex]

So [tex]4x= 2.24, x = \frac{2.24}{4}.[/tex]

[tex]x = 0.56.[/tex]

So each peach costs $0.56.

H(y)=9/5 • 2y at y=-2

Answers

Answer:

[tex]H( - 2) = - 7 \frac{1}{5} [/tex]

Step-by-step explanation:

We want to evaluate the equation

[tex]H(y) = \frac{9}{5} \times 2y[/tex]

at y=-2

We just have to substitute to obtain;

[tex]H( - 2) = \frac{9}{5} \times 2 \times - 2[/tex]

We now multiply to get:

[tex]H( - 2) = \frac{9}{5} \times - 4[/tex]

This is the same as:

[tex]H( - 2) = \frac{9}{5} \times \frac{ - 4}{1} [/tex]

We multiply the numerators separately and denominators separately to get:

[tex]H( - 2) = \frac{9 \times - 4}{5 \times 1} [/tex]

[tex]H( - 2) = \frac{ - 36}{5} [/tex]

This implies that

[tex]H( - 2) = - 7 \frac{1}{5} [/tex]

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