x and y are integers, y>_ 2, x +y <_ 4 and y <_ 2x +2

Mathematics High School

x and y are integers, y>_ 2, x +y <_ 4 and y <_ 2x +2

Answers

Answer 1

The true values of x and y in the system of inequalities are (2/3, 10/3)

How to determine the values of x and y?

From the question, we have the following parameters that can be used in our computation:

y ≥ 2

x + y ≤ 4

y ≤ 2x + 2

Express the inequalities as equations

So, we have the following representation

x + y = 4

y = 2x + 2

Substitute y = 2x + 2 in the equation

x + y = 4

So, we have the following representation

x + 2x + 2 = 4

Evaluate the like terms

So, the equation becomes

3x = 2

Divide by 3

x = 2/3

Substitute x = 2/3 in y = 2x + 2

y = 2 x 2/3 + 2

Evaluate

y = 10/3

In y ≥ 2, we have

10/3 ≥ 2

The above inequality is true

Hence, the values of x and y are (2/3, 10/3)

Related Questions

HELP, thanks, If a triangle has a side length of 8 inches, and another side length of 5 inches, which of the
following choices for the third side length will make a triangle?
a. 7 inches
b. 2 inches
c. 13 inches
d. 15 inches

Answers

Answer:

a. 7

Step-by-step explanation:

So a triangle a two sides that will always sum up to be greater than the third side.

Meaning:

a + b > c

a + c > b

b + c > a

So here, we're given a and b:

8 + 5 > c

8 + c > 5

5 + c > 8

Plug in the values:

13 > 7

15 > 5

12 > 8

These are all true, so it's probably 7.

13 > 2

10 > 5

7 > 8 This one is not true, so not 2.

13 > 13 This is not true, so not 13.

If not 13, we can't go any higher and so it can't be 15.

Find the area of an equilateral triangle with perimeter 18.

Answers

Answer:

15.59 un²

Step-by-step explanation:

18 ÷ 3 = 6

15.59 un²

Can you solve the inequalities 9.50(70+x)≥1000

Answers

Answer: x_>(70+x_>)1000

Step-by-step explanation:

Answer:

35.26315789

Step-by-step explanation:

Question: 9.5(70+x)≥1000

70+x≥1000/9.5

(divide by 9.5 into both sides)

70+x≥105.2631579

x≥105.2631579-70

(minus 70 into both sides)

x≥670/19

x≥35.26315789

For the following set of temperatures recorded during 7 days in Hartford, find the mean.
51º, 530, 640, 499, 64º, 540, 50°
The mean is

Answers

Answer:

means is 339.142 degrees

Step-by-step explanation:

mean= sum of all values /number of values

mean=2374/7

mean=339.142

PLEASE HELP. no links.

Answers

Answer:

45 i think

Step-by-step explanation:

Find the distance from A to C

12

74

^74

6

Answers

Answer:

12 i think I'm right. i don't know

Answer:

√74 or 74^(1/2)

Step-by-step explanation:

A (-2 , 4), C (3 , -3)

distance AC = √(x'-x)² + (y'-y)²

d = √(3 - -2)² + (-3 - 4)² = √5² + (-7)² = √74

Please help and explain how you got the answer I am also being timed so please answer quickly thank you for your time

Answers

Answer:

I got you!

The correct answer is B Fitteen is less than r

To translate that into a numerical inaquiltiy, that is 15<r but the answer to the question is B.

Hope this helps!

Brainliest would be nice!

Answer:

Step-by-step explanation:

Hello There!

An inequality must include < or > which means greater than or less than

This meaning that the inequality when shown by using words must include the is less than or more (sometimes greater) than

The answer would be B because it uses the expression is less than which can be represented by the inequality sign <

15 is less than r

exchange the inequality sign with is less than

15 < r

they still have the same meaning and it is written as an inequality

Reasons why its not the other answer choices

For A:

Four times 0.45 plus x

written as an expression:

4(0.45+x)

the expression does not include < or > therefore the statement "Four times 0.45 plus x " cannot be written as an inequality

For C:

Half the product of 4 and s

written as an expression:

[tex]\frac{4s}{2}[/tex]

once again the expression does not include an inequality sign therefore C is not the answer.

For D:

eight times p is 20

written as an expression

8p = 20

Like the other answer choices the expression does not include an inequality sign therefore D is not the correct answer choice

a firefighter is placing a 15-foot ladder against a house. he places the ladder 10 feet away from the house. how high up the house will he be able to reach? round to the nearest foot

Answers

20 feet is correct have a nice day :D

195.43 rounded to the nearest 10th

Answers

Answer is

195

or if you actually mean a tenth it would be

100

Which grab does not show a liner function

Answers

Answer:

Top left

Step-by-step explanation:

Marcello sells coupon books to his neighbors. 4 neighbors each buy 2 coupon books. There are 8 coupons in each book. What is the total number of coupons that all of his neighbors will get? Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

Marcello sells coupon books to his neighbors

4 neighbors each buy 2 coupon books

Each book have 8 coupons

Therefore the total number of coupons that all neighbors will get can be calculated as follows

Each neighbor will get 16 coupon

Hence the whole neighbors will get

16×4

= 64 coupons

PLSS HELP ME I AM GOING TO CRY IF I DONT GET THIS ANSWER PLSS HELP ME What is the slope-intercept equation of the line below?

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

Hey!

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

Slope-Intercept Form: y - mx + b, where m is the slope and b is the y-intercept (point where x =0).

Since we know that the slope is -3, we substitute that in for m.

⇒y = -3x + b

Now, we know the y-intercept is 4, so we substitute that in for b:

⇒y = -3x + 4

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

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

-Aadi x

Usatestprep Listed in the Item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. Order does not matter. ITEM BANK: Move to Bottom The probability of choosing a yellow marble out of a bag containing 3 red, 1 green, 4 blue and 2 yellow marbles.The probability of choosing a soccer ball out of a bag containing 4 soccer balls, 1 playground ball, and 3 basketballs.The probability of choosing a blue block out of a bag containing 4 red, 2 blue, and 4 green blocks.The probability of choosing a blue marble out of a bag containing 3 red, 1 green, 4 blue and 2 yellow marbles.The probability of choosing a red block out of a bag containing 1 red, 1 blue, and 3 green blocks.The probability of choosing a tennis ball out of a bag containing 5 rubber balls, 3 tennis balls, 6 bouncy balls, and 1 squishy ball.The probability of flipping a head on a fair coin.The probability of rolling an even number on a die. 0.5 0.2 0.4

Answers

Answer:

0.5----> 3 red, 1 green, 4 blue and 2 yellow marbles.......1 red, 1 blue, and 3 green blocks.......4 soccerballs, 1 playground ball, and 3 basketballs......

0.2----> 4 red, 2 blue, and 4 green blocks...........5 rubber balls, 3 tennis balls, 6 bouncy balls, and 1 squishy balls.......

0.4---->

thats all i got so far hope this helps!!!!!!! make sure to stay safe a well.

Step-by-step explanation:

pls help!! this is due in like 5 mins :/. (i’ll give u brainiest if u don’t provide a link just pls help me!)

Answers

Answer:

3 is first

4 is second

1 is third

2 is fourth

Step-by-step explanation:

Answer:

Step-by-step explanation:

it helps keep the insulation in so their feet get cold

Mangi surveyed students about their favorite types of music. Find the ratio of students who chose dance to the total number of students surveyed. Favorite Music Pop 7 Country 5 Dance 4

Answers

Answer:

1 : 4

Step-by-step explanation:

Given:

Favorite Music :

Pop _____ 7

Country __ 5

Dance ___ 4

Total number of students surveyed :

(pop + country + dance). = (7 + 5 + 4) = 16

Number who chose dance = 4

Ratio of dance to total number surveyed

4 : 16 = 1 : 4

1 :4 (lowest term)

solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth

Answers

Answer:

i thought i had the answer but then i got it wrong im sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The side opposite (the side not connected to the angle) and the hypotenuse relate the sine

Equation

Sin(y) = opposite / hypotenuse

Solution

y = 41 degrees

hypotenuse = 12

x = ?

Sin(41) = x / 12 Multiply both sides by 12

12 Sin(41) = x

Sin(41) = 0.6561

12 * 0.6561 = x

x = 7.8727

Donna borrowed $10, 500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether?

Answers

Question:-

Donna borrowed $10,500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether ?

Answer:-

Given:-

[tex] \bullet [/tex] Principal (P) = $10,500

[tex] \bullet [/tex] Rate of interest (r) = 4%

[tex] \bullet [/tex] Time (t) = 3 years

To Find:-

Interest of Donna and amount of car altogether.

Solution:-

We know,

[tex] { \boxed{\rm \red {I \: = \frac{Prt}{100}}}} [/tex]

[tex] \therefore [/tex] I = [tex] \frac{10,500 \: × \: 4 \: × \: 3}{100} [/tex]

I = [tex] \frac{126,000}{100} [/tex]

I = $1260

Now,

Amount of the car = $ (10,500 + 1260)

= $ 11,760

$1260 interest would Donna pay and $11,760 is the car altogether. [Answer]

Step-by-step explanation:

We know that Interest = Principal×Rate×Time/100

So,

10,500×4×3/100

= 10,500×3/25 (by cancelling 100 by 4)

=31500/25

= 1260

Therefore,

$1260 Answer

hope it helps.....

Which event is most likely to occur?

A. flipping a fair coin, with sides labeled heads and tails, and the coin landing on tails

B. choosing a marble out of a bag, with nine blue marbles and one red marble, and the marble is red

C. rolling a fair number cube, with faces labeled one to six, and the cube landing on a number less than six

D. spinning the arrow on a spinner, with four equal sectors labeled one to four, and the arrow landing on a number greater than one

Answers

The answer is A because it’s a 50% chance

which digit in 123.45 is in the tenths place

Answers

Answer:

4. But if u meant like rounding it would be 123.5

Step-by-step explanation:

Solve the problem below by finding a common denominator 1/3 - 1/5

Answers

Answer:

2/15

Step-by-step explanation:

1/3-1/5

5/15-3/15

= 2/15

Answer:

Step-by-step explanation:

[tex] \frac{1}{3} - \frac{1}{5} = \frac{5}{15} - \frac{3}{15} = \frac{2}{15} [/tex]

have a nice day

En Cartagena de cada 10 personas 4 tienen una enfermedad, a este ritmo ¿cuántas personas se contagiarán si son 400 personas?

porfa para ya

ayudaaaaaaa

Answers

Answer:

Se contagiarian 160 personas.

Step-by-step explanation:

Para este problema debenos usar la siguiente regla de tres:

[tex]\frac{10(personas)}{4(enfermas)}=\frac{400(personas)}{x(enfermas)}[/tex]

Ahora, debemos despejar x de la ecuacion de arriba.

[tex]x=\frac{400(personas)*4(enfermas)}{10(personas)}[/tex]

[tex]x=160(enfermas)[/tex]

Por lo tanto, se contagiarian 160 personas.

Espero te haya sido de ayuda!

This is Amy's family.
Her family of 6 people(4 adults and 2 children) went to Super Nintendo World last year. Although she couldn't remember what each tickets costed, she knew that her family paid $1700 total for the tickets.

use variable `a` for number of adult tickets
use variable `c` for number of child tickets
Write an equation that describes this situation.

Answers

Answer:

All of their tickets cost $425.00

Step-by-step explanation:

a= adults c=children

$1700 divided by a=4

$1700 divided by c=2

Please help.. The math department is putting together an order for new calculators. The students are asked what model and color they prefer.

Answers

Answer:

The answer is D. Here is proof. PLEEEAAASE mark brainliest.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which value is included in the solution set for the inequality graphed on the number line?
0
1
2
3
4
3

Answers

Answer:

Step-by-step explanation:

8) The volume of a cuboid 12cm long 9 sm broad and 6 cm high is
a) 648 cm b) 648 m3
c) 648 cm3 d) 648 m

Answers

[tex] \color{magenta} \huge{ \tt{{Answer}}}[/tex]

8.) The volume of a cuboid 12cm long 9 sm broad and 6 cm high is?

A.) 648 cm

Note: My answer is base on my understanding to your question.

Hopefully Help:)

#CarryOnLearning

_MafiaQueen4

Which option below best describes the maximums of these two functions? Function g has the greater maximum of 2. Functions g and h have the same maximum of -2. Functions g and h have the same maximum of 2. Function h has the greater maximum of -2.

Answers

Answer:

salak

Step-by-step explanation:

The work of a student to solve the equation 2(4x - 4) = 8 + 4x + 4 is shown
below:
Step 1. 2(4x - 4) = 8 + 4x + 4
Step 2. 6x - 6 = 12 + 4x
Step 3. 6x - 4x = 12 + 6
Step 4.2x = 18
Step 5. x = 9
In which step did the student first make an error and what is the correct step?
(1 point)
Step 2, 8x - 6 = 2(6 + 2x + 2)
Step 2, 8x - 8 = 12 + 4x
Step 3, 6x - 4x = 12 - 6
Step 3, 6x + 4x = 12 + 6
O
81

Answers

Step-by-step explanation:

Step1=8x-6=2(6+2x+2)

Step2=8x-6=12+4x+4

Step3=8x-6=16+4x

Step4=4x=20

Step5=x=20÷4

Step6=x=5//Ans

Complete the equations by entering the whole numbers that are equal to the fractions.

8
8
=
3
3
=

30
10
=
9
3
=

6
3
=
12
6
=

Answers

Answer:

Not sure if these are the fractions, tell me if they are wrong.

8/8 = 1

3/3 = 1

30/10 = 3

9/3 = 3

4-
2-
р
911) =
-1 – 3+ 4
0
-4
- 2
2
4
-2-
On which interval are both functions increasing?
O
1-2
3
4
0
-
c)

Answers

Answer:

Step-by-step explanation:

To get the correct answer, you can count the total number of shaded tenths and the total number of shaded hundredths and then regroup.

There are 9 shaded tenths and 18 shaded hundredths. Regroup 10 hundredths into 1 tenth to get 10 tenths and 8 hundredths. Then regroup the 10 tenths in one whole, giving you 1 whole and 8 hundredths. The product is 1.08.

Another way to get the answer is to count the total number of shaded hundredths. There are 108 hundredths. Regroup 100 of them as one whole, giving you 1 whole and 8 hundredths.

very easy and you get 10 points

Answers

Answer and Step-by-step explanation:

The answer to this question is 21.

We can easily find the height of the triangle by going to the bottom point of the triangle and counting up each line.

The height is equal to 6.

When we create this line for the height, it sections off two triangle, one with a side of 4 and the other with a side of 3.

To find the area of a triangle, we must Multiply the side lengths together, then Divide by 2.

Triangle 1

4 × 6 = 24

24 ÷ 2 = 12

Triangle 2

3 × 6 = 18

18 ÷ 2 = 9

Now, we add together the areas to get the area of the full triangle.

12 + 9 = 21.

The area of the triangle is 21 [tex]cm^2[/tex].

#teamtrees #PAW (Plant And Water)

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