Mathematics High School

3x +y = -2x+8
-3x+2y=-10
If (x,y) is a solution to the system of equations
above, what is the value of xy?

a) -16
b) -8
c) -4
d) 4

Answers

Answer 1

Answer: c) -4

Step-by-step explanation:

Get the variables on one side of 3x+y=-2x+8 and the constants on another side:

3x+y=-2x+8

(3x+y)+2x=(-2x+8)+2x

5x+y=8

Now, multiply 5x+y=8 by -2:

-2(5x+y=8)

-10x-2y=-16

Add this equation to -3x+2y=-10:

(-10x-2y=-16)+(-3x+2y=-10)

-13x=-26

x=2

Plug x=2 into -3x+2y=-10:

-3(2)+2y=-10

-6+2y=-10

2y=-4

y=-2

Therefore, (2, -2) is the solution to the system of equations, so xy=(2)(-2)=-4

Related Questions

What is the maximum number of possible extreme values for the function, F(x)=x^4+x^3-7x^2-x+6?

A. 2

B. 4

C. 5

D.3

Answers

Coming from a 6th grader but I hope this is right!

Polynomials of degree greater than 2 can have more than one max or min value. The largest possible number of minimum or maximum points is one less than the degree of the polynomial. The following examples illustrate several possibilities.

since the degree is 4

number of possible extreme values = 4 -1 = 3

Answer:3

Step-by-step explanation:

beanssss

covert 30 to binary (base 2)

Answers

Answer:

11110

Step-by-step explanation:

1*16 + 1*8 + 1*4 + 1*2 + 0*1

URGENT 30:48 in the form 1:n where n is a decimal

Answers

Between 30 and 48 okay hope you get it right but I’m not sure

common denominator between 4/12 and 1/3

Answers

Answer:

4

Step-by-step explanation:

1/3 = 4/12

^^^^^^^^^

1 x 4 = 4

3 x 4 = 12

Hope this helps.

4 I think I’ll give an explanation if needed

Which of the following statements about AB and AC is true?​

Answers

Answer:AB is longer than AC

Step-by-step explanation:AP3X

Answer:

c

Step-by-step explanation:

I just did it on A.P.E.X.

Steven and his cousin Rebecca are picking apples in their grandparents' orchard. Steven has filled
5 baskets with apples and is filling them at a rate of 6 baskets per hour. Rebecca has 6 full baskets
and will continue picking at 5 baskets per hour. Once the cousins get to the point where they have
filled the same number of baskets, they will carry them to the barn and then eat lunch. How much
fruit will they have picked by then? How long will that take?

Answers

Answer:I say they’d will pick 22 brackets of apples by time they reach nome and they will take 3 hours 40 minutes

Step-by-step explanation:because if u count all the baskets you get 22 course 6+6+5+5=22 and if 6 baskets were filled in 1 hour then 1 hour + 1 hour = 2 hours and then since they only picked five more take away 10 minutes from a hour then same for the other five. After we add the hours and the minutes and we get 3 hours 40 minutes.

please i really need help, this is due in 10 minutes!!

Answers

Answer:

see below

Step-by-step explanation:

3x+6=total cost

3(8)+6=30$


Find the area of the
regular figure below:

A) 157 m2
B) 162 m2
C) 168 m2
D) 175 m2
E) 182 m2

pls show work

Answers

162 m^2

you can make a triangle in the corner with legs length s/2 and the angles are 45 degrees. in a 45 45 90 triangle, the legs are h/sqrt(2) where h is the hypotenuse. this means that s/2=9/2 sqrt(2), s=9 sqrt(2)

and s^2=162

Maria has a paper route with 100 customers. She delivers a paper to each customer once a
week. Each week she is paid $25.00 plus an additional $0.05 for each paper she delivers.
Maria wants to buy a phone that costs $230.00, including taxes. How many weeks will it
take Maria to earn enough money to buy the phone?

Answers

Answer: 9

Step-by-step explanation:

25x9 = 250+ tax

Find the slope of each line graphed

Answers

Answer:

first graph: 3/1

second graph:y=1

third graph: 2/-2

Hello i just want to thank anyone who has helped me pass tests. they dont even know they got an A in math

Answers

Answer:

well, I'm glad u got a A in math!

Step-by-step explanation:

If one angle of a triangle is 90°, then the other two add to 90°.
Write the To Prove statement

Answers

So a triangle is always 180°.
If one angle is 90° then we can subtract that from the 180° to find out how much the other two will be.
180°-90°=90°
So the other two angles added together will have to equal 90°.

pls help!!

Find the area. Simplify your answer.
3x

3x

Answers

Answer:

9[tex]x^{2}[/tex]

Step-by-step explanation:

The area of a parallelogram is equal to the base times the height.

The base is 3x and the height is also 3x so the area will equal

3x × 3x

When you multiply variables you multiply the coefficients and add the exponents so when you multiply 3x and 3x you multiply 3 and 3 and the exponents 1 and 1 so you get 9[tex]x^{2}[/tex]  

Which expression can have a remainder greater than 6?
A: ■ ÷ 2

B: ■÷ 4

C: ■÷ 6

D: ■ ÷ 8


PLIS HELP!​

Answers

the answer is D

Hopefully this helps you!

please help this is due soonnnnn

Answers

Answer:

5 [tex]\sqrt{14r}[/tex]  - [tex]\sqrt{42r}[/tex] / 28r

sorry I can't put a fraction but the "'/" is the line and 28r goes underneath

Explanation:

Download photomath and take a picture, it will explain it. It would take forever for me to type it out

Can someone please help me

Answers

9514 1404 393

Answer:

  c.  90°

Step-by-step explanation:

Every corner of a square or rectangle is a 90° angle, also called a "right angle."

  ∠MLK = 90°

Find the slope of the line that contains the following points.
(4, 2) and (7, 7)

Answers

Slope: (y2-y1)/(x2-x1)
(7-2)/(7-4) = 5/3

Solution: the slope is 5/3

What are the coordinates of point A (−234,1) after it is reflected across the x-axis?

Answers

Answer:

(-234, -1)

Step-by-step explanation:

Answer:

(-234,-1)

Step-by-step explanation:

Reflecting across x-axis means negative y, across y-axis means negative x

Miguel compró 17 botellas de cerveza en el mercado y quiere trasladarlas a su vehiculo. Si solamente puede transportar 3 botellas a la vez, cuál es el mínimo número de viajes que debe hacer para llevar todas las botellas

Answers

Answer:

Minimum 6 trips

Step-by-step explanation:

Miguel bought 17 bottles of beer at the market and wants to transfer them to his vehicle. If he can only transport 3 bottles at a time, what is the minimum number of trips he must make to carry all the bottles?

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

The minimum number of trips is:

17/3= 5 2/3 ≈ 6 rounded up

We considered 2/3 as the whole 1 because you can't make partial trips

yesterday 170 guests at a hotel called for room service, and 255 guests did not call for room service. what percentage of the guests did not call for room service yesterday ​

Answers

Answer:

About 53% of guests did not call for room service

Step-by-step explanation:

Total number of guests is 170+255= 425 guests total

Number of guests who didn’t call room service divided by the total number of guests gives us the percentage of guests who didn’t call room service

255/425 = 0.529412

Multiply by 100 to get a percentage

= 52.9412%

We can round to 53%.

Jesse's starting salary is $30,000 a year. He gets a 3% raise after his first year. Then he gets a 10% bonus on his second-year salary. How much is Jesse's bonus?

Answers

Answer:

$3090

Step-by-step explanation:

First take $30,000 * 0.03 (3%) to get $30, to get $900. Then add 30,000 +900 to get first year salary. Next take 30,900 (Jesse's salary after the first year) times 0.1 (10%) to get 3090 which is his bonus for the second year.

Jayden's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline.

Answers

Answer:

D= distance covered by amount (g) gallons

D=23g

Step-by-step explanation:

please help, for a test, I need to know how you got the answer!

Answers

Answer:

Right triangle

Step-by-step explanation:

On the right it has a 90 degree angle which makes it a right triangle or right

A table with 2 columns and 7 rows. The first row, x, has the entries, negative 4, negative 3, negative 2, negative 1, 0, 1. The second row, y, has the entries, 0, negative 0.75, negative 1.50, negative 2.25, negative 3, negative 3.75 A table with 2 columns and 7 rows. The first row, x, has the entries, negative 4, negative 3, negative 2, negative 1, 0, 1. The second row, y, has the entries, negative 2.50, negative 2.50, negative 2.50, negative 2.50, negative 2.50, negative 2.50.
Determine which statements are true. Check all that apply.

Answers

h(x) has a constant output of –2.50.
As x increases, g(x) increases.
g(x) is greater than –2.50 for x values less than –1.
h(x) is less than –2.50 for x values greater than –2.
The input value for which g(x) = h(x) is between –1 and 0.

Answer:

its a c e

Step-by-step explanation:

i just took the test

am i weird for liking acdc at the age of 14

Answers

Answer:

0-0

Step-by-step explanation:

000000000000000000000000000000

Answer:

lol

Step-by-step explanation:

Jim rolls a fair dice 36 times. How many times would Jim expect to roll a three?​

Answers

Answer:

6

Step-by-step explanation:

36/6=6

if it is a fair dice it will be even

Answer:

I think it's 6 but I'm not sure

Step-by-step explanation:

36:6=6

4x-6+3(2-x)=2x-(x-4)
How many solutions are there to this equation?

Answers

Answer:

No solution (0 solutions)

Step-by-step explanation:

Simplify it as shown below:

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

4x-6+6-3x=2x-x+4. (on the left side the negative 6 and the positive 6 cancel out, and then combine like terms on both sides)

x=x+4

No solution

Answer:

no solutions

Step-by-step explanation:

Given

4x - 6 + 3(2 - x) = 2x - (x - 4) ← distribute and simplify both sides

4x - 6 + 6 - 3x = 2x - x + 4

x  = x + 4 ( subtract x from both sides )

0 = 4 ← not possible

This indicates the equation has no solution

Which of the following is equivalent to
the expression (i + 5)(3 + 4i)?

Answers

Answer: 11+23i

Step-by-step explanation:

(i+5)(3+4i)

First foil

3i+4i^2 +15+20i

Then combine like terms

23i+15+4i^2

i^2 = -1 so,

23i+15+4(-1)

11+23i

PLEASE ANSWER THIS ASAP!I will mark the brainiest!

Answers

Answer:

D

Step-by-step explanation:

You have to keep in mind that the opposite side length depends on the size of the angle. If you are comparing side lengths, the smaller side length will have a smaller corresponding angle. That being said angle J needs to be smaller than 82, and larger than 0.

Use algebra to determine that x has to be greater than 3 in order to be above 0. X also has to be less than 44 in order to be less than 82.

A 10-mile bike race is divided into 4 equal sections.

Which equation shows how to find the number of miles in each section?

Math item stem image
CLEAR CHECK

4÷10=410 mile



4÷10=104 miles



10÷4=410 mile


10÷4=104 miles

Answers

Answer:

Step-by-step explanation:

read the question it says

a 10 mile bike rade is DIVIDED into 4 equal sections

10 DIVIDED BY 4

10÷4=104 miles

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