MATHEMATICS HIGH SCHOOL

The product of two numbers is 32. The first number, x, is one-half of the second number, y. Which system of equations can be used to find the two numbers? A. xy=32 x=1/2y B. xy=32 x=y-1/2 C. x+y=32 x=y-1/2 Dxty=32 x=1/2y

Answers

Answer 1

Answer:

Answer:

Option A - xy=32, x=1/2y

Step-by-step explanation:

Given : The product of two numbers is 32. The first number, x, is one-half of the second number, y.

To find : Which system of equations can be used to find the two numbers.

Solution: Since, first number =x and second number = y

Situation 1 - 'The first number, x, is one-half of the second number, y'.

$\Rightarrow x=(1)/(2)y$

Situation 2 - 'The product of two numbers is 32'

$\Rightarrow x* y=xy=32$

The above two situation matches with Option A.

Therefore, Option A is correct → xy=32 x=1/2y

Solving Situation 1 and 2 we get,

Put x value in situation 2

$xy=32$

$(1)/(2)y* y=32$

$y^2=64$

$y=\pm8$

put value of y in x,

$x=(1)/(2)*(\pm8)$

$x=\pm4$

Values are → $x=\pm4$ , $y=\pm8$

Answer 2

Answer:

Answer:

Step-by-step explanation:

on edge 2020

Related Questions

PLZ HELP ASAP WILL MARK BRAINIEST(x−5)/2 + (x−1)/8 = (x−3)/4 + (x−4)/3solve for x!!
......................................
Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.Which equation can be used to determine c, the unknown concentration?
An arithmetic sequence is given below.-4, -10, -16, -22, ... write an explicit formula for the Nth term aN.
A package of ground beef costs $6.98. The price per pound is $3.86. How many pounds of ground beefare in the package? Round to the nearest hundredth.A. .27 B. 1.81 C. 1.80 D. 1.72

Find dy/dx if y= (1+x)e^x^2

Answers

$y=(1+x)e^(x^2)\ny'=(1+x)'\cdot e^(x^2)+(1+x)\cdot(e^(x^2))'\ny'=1\cdot e^(x^2)+(1+x)\cdot e^(x^2)\cdot (x^2)'\ny'=e^(x^2)+(1+x)e^(x^2)\cdot2x\ny'=e^(x^2)(1+(1+x)\cdot2x)\ny'=e^(x^2)(1+2x+2x^2)\ny'=e^(x^2)(2x^2+2x+1)\n$

You first need to know that:

$If\quad y=u\cdot v\n \n \frac { dy }{ dx } =u\frac { dv }{ dx } +v\frac { du }{ dx } \n \n$

Knowing that u is a function of x and that v is a function of x.

So:

$y=\left( 1+x \right) { e }^{ { x }^( 2 ) }=u\cdot v\n \n u=1+x,\n \n \therefore \quad \frac { du }{ dx } =1$

$\n \n v={ e }^{ { x }^( 2 ) }={ e }^( p )\n \n \therefore \quad \frac { dv }{ dp } ={ e }^( p )={ e }^{ { x }^( 2 ) }\n \n p={ x }^( 2 )\n \n \n \therefore \quad \frac { dp }{ dx } =2x$

$\n \n \therefore \quad \frac { dv }{ dp } \cdot \frac { dp }{ dx } =2x{ e }^{ { x }^( 2 ) }=\frac { dv }{ dx }$

And this means that:

$\frac { dy }{ dx } =\left( 1+x \right) \cdot 2x{ e }^{ { x }^( 2 ) }+{ e }^{ { x }^( 2 ) }\cdot 1\n \n =2x{ e }^{ { x }^( 2 ) }\left( 1+x \right) +{ e }^{ { x }^( 2 ) }$

$\n \n ={ e }^{ { x }^( 2 ) }\left( 2x\left( 1+x \right) +1 \right) \n \n ={ e }^{ { x }^( 2 ) }\left( 2x+2{ x }^( 2 )+1 \right) \n \n ={ e }^{ { x }^( 2 ) }\left( 2{ x }^( 2 )+2x+1 \right)$

I could use some help here

Answers

Answer:

3x^3 + 6x^2

Step-by-step explanation:

2x^2 + 3x^3 + 4x^2

Combine like terms

3x^3 + (2x^2+4x^2)

3x^3 + 6x^2

Answer:

b. 6 x² + 4 x³

Step-by-step explanation:

2x ² + 3x³ + 4x²

Combine like terms, we get

2 x² + 4 x² + 3 x³

6 x² + 3 x³

option a and b both are similar.

What is the middle term of the product of (5a-7)(2a-1)

Answers

Answer:

10a^2 - 19a + 7

Step-by-step explanation:

Use the FOIL method to multiply these binomals together. We get:

10a^2 - 14a - 5a + 7.

Combining the 'a' terms, we get

10a^2 - 19a + 7

If two lines intersect, what angles are congruent?opposite angles
adjacent angles
supplementary angles
vertical angles

Answers

Answer= Opposite Angles

The opposite angles of intersecting lines are congruent.

if two lines intersect they would be opposite angles

The circumference is 307.72 yards. What is the diameter?

Answers

I think its ans is

30 inches

The answer is 30 inches

You earn $420 per week. You pay social security taxes of 7.65%, federal taxes of 22%, and state taxes of 5.95%. What is your take home pay?

Answers

Given:
weekly pay : 420 per week
social security tax rate : 7.65%
federal taxes : 22%
state taxes: 5.95%

All these tax rates are applied to the weekly earnings.

social security tax : 420 x 7.65% = 32.13
federal tax : 420 x 22% = 92.40
state tax : 420 x 5.95% = 24.99

420 - 32.13 - 92.40 - 24.99 = 270.48 take home pay.

We stared with $420 so..... 420-7.65% = $387.88Then subtract 22% from $387.78 which give you $302.53And last subtract 5.95% from $302.53 which give us the answer $284.52So you will be taking home $284.52I hope you understand and I hope my help is not a waste of time !

Other Questions

Mary has three lengths of cable, 3/6 yard long, 1/4 yard long, and 1/3 yard long, which two pieces together make a length of 20/24 yard? I

The graphs of f(x) and g(x) are shown below:If f(x) = (x + 7)^2, which of the following is g(x) based on the translation? g(x) = (x + 9)^2 g(x) = (x + 5)^2 g(x) = (x − 9)^2 g(x) = (x − 5)^2

Simplify 5t + (t - 3) - [(7t + 5) - (8 - 3t)].

The number 137.5 is 125% of what number