which coordinate is a solution to the system of inequalities

Which Coordinate Is A Solution To The System Of Inequalities

Answers

Answer 1
[tex]\begin{gathered} x+y>1 \\ 4x-y<5 \\ \\ Proving\text{ points} \\ P1(1,2) \\ x+y\gt1 \\ 1+2\gt1 \\ 3\gt1,\text{ true} \\ 4x-y\lt5 \\ 4(1)-2\lt5 \\ 4-2\lt5 \\ 2\lt5,\text{ true} \\ Hence\text{ the point \lparen1,2\rparen is a solution of the system} \\ \\ P2(2,1) \\ x+y\gt1 \\ 2+1\gt1 \\ 3\gt1,\text{ true} \\ 4x-y\lt5 \\ 4(2)-1\lt5 \\ 8-1\lt5 \\ 7\lt5,\text{ false} \\ Hence\text{ the point \lparen2,1\rparen is not a solution of the system} \\ \\ P3(-1,2) \\ x+y\gt1 \\ -1+2\gt1 \\ 1\gt1,\text{ false} \\ 4x-y\lt5 \\ 4(-1)-2\lt5 \\ -4-2<5 \\ -6<5,\text{ true} \\ Hence\text{ the point \lparen-1,2\rparen is not a solution of the system} \\ \\ P4(-3,-2) \\ x+y\gt1 \\ -3-2\gt1 \\ -5\gt1,\text{ false} \\ 4x-y\lt5 \\ 4(-3)-(-2)\lt5 \\ -12+2<5 \\ -10<5,\text{ true} \\ Hence\text{ the point \lparen-3,-2\rparen is not a solution of the system} \\ Therefore \\ The\text{ point \lparen1,2\rparen is a solution of the system} \end{gathered}[/tex]

Which Coordinate Is A Solution To The System Of Inequalities
Which Coordinate Is A Solution To The System Of Inequalities
Which Coordinate Is A Solution To The System Of Inequalities

Related Questions

5. Write the division problem as a
multiplication equation with a
missing factor. The find the quotient.
2.1 /0.7

Answers

The quotient in this division problem is 3,4.

What is division problem?
There are three main parts to a division problem that are -the dividend, the divisor, and the quotient. The dividend is the number that will be the  divided. The division is the number of (people )that the the  number is being divided by  among And The quotient is the answer.
a division is a process of a  splitting a specific of amount  into the equal parts.

Sol-
The formula is -
a/b=?
b×?=a
We can write a division statement as a multiplication statment
12/4=3
4×3=12
Thus
The quotients in this division problem are 3 and 4.

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1. Brian's math test scorés: 86, 90, 93, 85, 79, 92, 20, 84Mean:Median:

Answers

Answer:

[tex]\begin{gathered} \text{ Mean=78.625} \\ \text{Median}=84 \end{gathered}[/tex]

Step-by-step explanation:

The mean is the sum of all the values in a set of data, divided by the number of values on the list.

Hence, the mean of Brian's math test scores:

[tex]\begin{gathered} \text{ Mean= }\frac{86+90+93+85+79+92+20+84}{8} \\ \text{ Mean=}\frac{629}{8} \\ \text{ Mean=78.625} \end{gathered}[/tex]

The median is the middle number in a sorted, ascending or descending, list of numbers:

Arrange the data set from smallest to largest, if the number of data set is even, the median is the average of the two middle data points in the list.

[tex]20,79,84,82,86,90,92,93[/tex]

Hence, the median is the average of 82 and 86:

[tex]\begin{gathered} \text{Median}=\frac{82+86}{2} \\ \text{Median}=84 \end{gathered}[/tex]

The rectangular floor of a classroom is 36 feet in length and 30 feet in width. A scale drawing of the floor has a length of 12 inches. What is the area, in square inches, of the floor in the scale drawing?

Answers

Answer:

120 square inches

Step-by-step explanation:

L = 36 feet

W = 30 feet

Scale:

l = 12 inches (1 foot)

w = 10 inches because 30/36 = 10/12..

10x12 inches = 120 square inches

david borrowed $4 from his mother each of the last tree months how much money does he owe his mother?

Answers

Answer:

12$

Step-by-step explanation:

He borrowed 4$ for three months.

4 x 3 = 12.

Answer = 12.

Hope this helps!

(Brainliest would mean a lot to me, thanks!)

going to send u a pic of the q

Answers

we have the phrase

fifteen occupant or less

[tex]\begin{gathered} n\leq15 \\ n\ge0 \end{gathered}[/tex]

Remember that the occupants can not be negative numbers

so

n=0,1,2,3,.....,15

we have

seventy stadiums or more

the algebraic expression is

[tex]n\ge70[/tex]

so

n=70,71,72,73,...

option Abecause the number of stadiums must be a whole number be a

Max's bedroom is rectangular shaped and has a total area
of 140 square feet. If the short wall is at 10 feet long,
what is the length of the longer wall?

Answers

Answer:

14 ft

Step-by-step explanation:

Area is length times width. So, you need to find something times 10 that equals 140. Or, you could just do 140 divided by 10. 140/10=14.

what is the volume of the object in cubic centimeters? i think its 20, but i just want to double check to see if im right.

Answers

Given,

The measure of edge of the cube is 4 cm.

The total number of cubes are 5.

Required

The volume of the soid.

The volume of the solid is calculated as,

[tex]volume\text{ = side}\times side\times side[/tex]

Substituting the values then,

[tex]\begin{gathered} Volume\text{ =4}\times4\times4 \\ =64\text{ cm}^3 \end{gathered}[/tex]

The volume of the solid is,

[tex]\begin{gathered} Volume=5\times64 \\ =320\text{ cm}^3 \end{gathered}[/tex]

Hence, the volume of the solid is 320 cm^3.

HELP ASP show your work!!

Answers

The minimum number of friends for which Jump it Up is 7

A two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on each other (often y and x) (usually x).

Sky high pricing:

$50 for <=10 people and $5 per person after that

Jump it Up pricing:

Set up charges = $70

Per person charges = $2

Let p be the number of people

Formulating the equation we get:

50 + 5p = 70 + 2p

3p = 20

p = 6.66

or p =7

So, Jump it up will be less expensive for 7 friends

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Between which steps does Morgan use the subtraction property of equality to justify her work?

Answers

Morgan uses the subtraction property of equality in step 5.

What is the subtraction property of equality?

The subtraction property of equality describes the balancing of an equation by subtracting the same value on both sides of the equality.

There is also the addition property of equality which states adding the same number to both sides of the equality also balances an equation.

Given Morgan's work Step 1 - 6(x+5) = 25.

Step 2 - 6(x) + 6(5) = 25 .                          (Distributive property).

Step 3 -  6x + 30 = 25.

Step 4 -  6x + 30 - 30 = 25 - 30          (Subtraction property of equality)

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There are eight turtles 15 fish and 17 pelicans what percent of the animals are pelicans

Answers

The number of animals are given as;

[tex]\begin{gathered} \text{Turtles}=8 \\ \text{Fish}=15 \\ \text{Pelicans}=17 \\ \text{Total animals}=40 \end{gathered}[/tex]

The percentage that are pelicans would be calculated as follows;

[tex]\begin{gathered} \text{Percentage Pelicans}=\frac{17}{40}\times\frac{100}{1} \\ \text{Percentage Pelicans}=\frac{1700}{40} \\ P\text{ercentage Pelicans}=42.5\text{ } \end{gathered}[/tex]

ANSWER:

The percentage of the animals that are Pelicans is 42.5%

Which represents the equation 6x+3y= 12 whO y=-2x+4O y = 2x+4Oy=-2x-4O y=2x-4

Answers

Given the equation:

6x + 3y = 12

We need to solve for y. Dividing by 3:

2x + y = 4

Subtracting 2x:

y = -2x + 4

First choice

Whats 5 and 6/4 ×8 and 9/6

Answers

Given that 5 6/4 x 8 9/6

Firstly, we need to convert the mixed fraction into improper fractions

[tex]undefined[/tex]

Help! Help! 9261 divided by 57

Answers

162.4736842 is 9261 divided by 57

6 3 2 1 -6 -5 4 22 10 2 3 6 13 What kind of transformation does the graph show? A) flip B) rotation 9 slide D) translation

Answers

Student did not provided any picture and became unresponsive.

Explain how to undo pemdas with this equation and find answer

Answers

Given that Sarah spent half of her weekly allowance.

She earns $4.70 for washing dogs.

The final amount is $ 13.50.

Let x be the weekly allowance.

She spent half of her allowance so she has half of the allowance.

[tex]\frac{x}{2}[/tex]

She earns $ 4.70, add this to her half of the allowance.

[tex]\frac{x}{2}+4.70[/tex]

This is equal to 13.50.

[tex]\frac{x}{2}+4.70=13.50[/tex]

Subtracting 4.70 from both sides, we get

[tex]\frac{x}{2}+4.70-4.70=13.50-4.70[/tex]

[tex]\frac{x}{2}=8.80[/tex]

Multiplying 2 on both sides, we get

[tex]\frac{x}{2}\times2=8.80\times2[/tex][tex]x=17.60[/tex]

Hence Sarah's weekly allowance is $ 17.60.

Write the equation of the function shown below. Identify domain and range.

Answers

The function can be split in 2 straight lines: the first one from x = 2 to the left, and the other one from the same point to the right.

Now, a straight line equation is of the form

[tex]ax+m[/tex]

Where a is the slope and m is the y-intercept.

"Left" line:

- m (y-intercept):

To find it we need to see where the line cross (intercepts) the y-axis. From the figure we can see that m = -2.

- a (slope):

To calculate the slope, we can use the following equation:

[tex]a=\frac{\Delta y}{\Delta x}[/tex]

Where, chossing 2 points in the line, we have:

[tex]\begin{gathered} \Delta y=how\text{ much do we move up or down between the 2 points} \\ \Delta x=\text{ how much do we move to the right betw}en\text{ the 2 points} \end{gathered}[/tex]

Look that for x we have to move to the right. Let's see a drawing:

In our case, we can take the points (0, -2) and (2, 4), so, we have:

[tex]a=\frac{\Delta y}{\Delta x}=\frac{4-(-2)}{2-0}=\frac{6}{2}=3[/tex]

So, we have the equation for the "left" line:

[tex]3x-2[/tex]

-"Right" line:

- m (y-intercept):

In this case we can not see where the line cross (intercepts) the y-axis. Let's leave this for latter.

- a (slope):

As we did before, we can pick to points on the line, like (3, 1) and (2, 4).

[tex]a=\frac{\Delta y}{\Delta x}=\frac{1-4}{3-2}=\frac{-3}{1}=-3[/tex]

- m (y-intercept) continues:

We now know that the equation for this line is:

[tex]-3x+m[/tex]

To find m, we can pick one single point and solve for that variable. For example, taking the point (2,4), we have:

[tex]\begin{gathered} y=ax+m \\ y=-3x+m \\ 4=-3\cdot(2)+m \\ 4=-6+m \\ 4+6=m \\ 10=m \end{gathered}[/tex]

And so, for the right line, we have:

[tex]-3x+10[/tex]

Finally, the equation of the function can be written as:

[tex]f(x)=\begin{cases}3x-2\text{ if x }\leq\text{ 2} \\ -3x+10\text{ if x }\ge\text{ 2}\end{cases}[/tex]

Now, the domain of the function is the set of points (or numbers) for which the function has values. The set of departure. In this case, all the numbers can be "trasnformed" or mapped with this function, so the domain is all the numbers, the set of real numbers, R:

[tex]\begin{gathered} -\inftyLastly, the range of the function is the complete set of all possible resulting values after aplying the function. We can see that the function can takes, as maximum, a value of 4, then the range is:[tex]\begin{gathered} (\infty;\text{ 4}\rbrack \\ or \\ y\leq4 \end{gathered}[/tex]

Cody's rent is increasing by $51 per month starting next year. That is an increase of 15% from his current rent. Let r represent Cody's current rent. Set up an equation and solve it to fibd the value of r.

Answers

Given :

Cody's rent is increasing by $51 per month starting next year.

That is an increase of 15% from his current rent.

Let the current rent = r

so, the increase = 15% of r = 0.15r

So, the equation that represent the situation is :

[tex]0.15\cdot r=51[/tex]

Solve for r :

[tex]r=\frac{51}{0.15}=340[/tex]

So, the current rent = $340

The rent for the next year = 340 + 51 = $391

6. Three formulas for calculating present value are shown below.Formula #1Formula #2Formula #311PV =FV(1 + i)PVOA = CG--)PVAD = CG--T) +0Ci(1 + i)nti(1+i)nt-1Part 1: Using complete sentences, explain how each of these formulas is used.Part 2: Create an example scenario for at least one of the formulas.(3

Answers

SOLUTION:

Case: Present Value

Present Value is the value of an expected income stream determined as of the date of valuation. The present value is usually less than the future value because money has interest-earning potential.

Part 1

[tex]PV=\frac{FV}{(1+i)^{nt}}[/tex]

Sentence:

The Present Value is the Future Value divided by 1 is added to the rate of returns(i), raised to the number of periods(nt).

Part 2:

Present Value of Ordinary Annuity

[tex]PVOA=C[\frac{1}{i}-\frac{1}{i(1+i)^{nt}}][/tex]

C is the annuity payment deposited or received at the end of each period.

i= discount or interest rate per period

n= number of periods.

The factor with interest rate and the number of periods is multiplied by annuity payments

Part 3:

Present value of Annuity due

[tex]PVAD=C[\frac{1}{i}-\frac{1}{i(1+i)^{nt-1}}]+C[/tex]

C is the annuity payment deposited or received at the end of each period.

i= discount or interest rate per period

n= number of periods.

The factor with interest rate and the number of periods less 1 is multiplied by annuity payments and then added again to the annuity payments

Example of Part 1 (Present Value)

What is $56000 in 5 years time worth now, at an interest rate of 10%?

60 is 24% of what number?

Answers

Explanation

Question

60 is 24% of what number?

Let the number be n.

is represent = in mathematics

of represent x

60 is 20% of what number?

60 = 20% x n

[tex]undefined[/tex]

3z - 8xyz + 4x^2y^2z please solve this

Answers

Answer:

z(3-8xy+4x^2y^2)

1/6 of a number r decreased by 24 what is the algebraic expression

Answers

1/6a-24 ok ok ok ok ok

Calculate the population growth rate for Brazil:
r = (CBR + Immi) - (CDR + Emigr)
CBR = 2.6%, Immi = 2%, CDR = 2.3%,
Emig = 2%
(Portions of the numeric data are factual.)

Answers

0.3% is the population growth rate for Brazil.

How to find the population growth rate?

CBR = 2.6%

Immi = 2%

CDR = 2.3%

Emig = 2%

Solution:

r = (CBR + Immi) - (CDR + Emigr)

r = (2.6 + 2) - (2.3 + 2)

r = 4.6 - 4.3

r = 0.3%

0.3% is the population growth rate for Brazil.

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Does this work show that 8 is a solution to the equation s-3=11 and how?

Answers

Given -

s - 3 = 11

To Find -

Is s = 8 a solution or not?

Step-by-Step Explanation -

on Putting s = 8 in the above equation

8 - 3 = 11

5 = 11

Which is not true as 5 ≠ 11

Final Answer -

Option (D)

No, Because the last line of the work is not true. 5 and 11 are not equal

HELPPPPPPPPPPDIDEOEOEKEKMEMENDNDNDNDND

Answers

1. No
2. No
3. No
4. Yes

=MATHEMATICAL READINESSSummation of indexed dataThe following is a list of 14 measurements.38. -82. 19. 84. -37.93.-31, -73, -50.-65.-31. -85, -48Suppose that these 14 measurements are respectively laSum of Xi/ 50 with i going from 1 to 14Round your answer to at least two decimal places.

Answers

In order to calculate the sum we need to iterate over the "xi" variable going from 1 to 14 and adding all the data.

[tex]\begin{gathered} \sum ^{\infty}_{n\mathop=1}\frac{x_i}{50}\text{ = }\frac{38\text{ - 82}+19+84-37.93-31-73-50-65-31-85-48}{50} \\ \sum ^{\infty}_{n\mathop{=}1}\frac{x_i}{50}\text{ = }\frac{-361.93}{50}\text{ = -7}.2386 \end{gathered}[/tex]

The answer is approximately -7.24.

"How can an understanding of thenumber properties help you to solveequations that represent real-worldsituations?"

Answers

Undersatanding number properties helps you to solve equation because we can transfom ans simplify any equation in a way we just have to add or rest numbers. for example when you go shopping and there is a sale or a promotion, knowing this properties would help you to get the best price.

6. A grocery store sells bags of oranges in two different sizes.
The 3-pound bags of oranges cost $4.
The 8-pound bags of oranges for $9.
Which oranges cost less per pound? Explain or show your reasoning.
(From Unit 2, Lesson 10.).

Answers

The 8 pound bag of oranges cost less.
Explanation:
4/3= 1.33 pounds per bag
9/8 = 1.125 pounds per bag

How many pounds of N are in 2 tons of manure (4.8% N)?

Answers

Answer: 192 lbs

Total weight of manure = 2 tons

Step1: we need to converts tons to pounds

1 ton = 2000 lb

2 tons = x lb

Cross multiply

2 x 2000 = 1 * x

x = 2 x 2000

x = 4000 lbs

Therefore, 2 ton of manure = 4000 lbs of manure

We have 4.8% of N in the manure

Pounds of N = 4.8/100 x 4000

Pounds of N = 0.048 x 4000

Pounds of N = 192 lbs

The pounds of N in 2 tons of manure is 192 lbs

Let f(-1)=16 and f(5) = -8Write the equation of the line in slope intercept form that passes throughthese two points

Answers

[tex]\begin{gathered} \Rightarrow x_1=-1,y_1=16,x_2=5,y_2=-8 \\ \text{The line of equation is,} \\ (y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-16=\frac{-8-16}{5+1}(x+1) \\ y-16=\frac{-24}{6}(x+1) \\ y-16=-4(x+1) \\ y-16=-4x-4 \\ y=-4x+16-4 \\ y=-4x+12 \end{gathered}[/tex]

The first aircraft has 65 more seats than the second aircraft. The third aircraft has 41 fewer seat than the second aircraft. If their total number of seats is 402, find the number of seats for each aircraft.

Answers

Solution:

Let A be the first aircraft

Let B be the second aircraft

Let C be the third aircraft

Here is the information that is given in the question:

The first aircraft has 65 more seats than the second aircraft:

A = B + 65

The third aircraft has 41 fewer seats than the second aircraft

C = B - 41

their total number of seats is 402

A + B + C = 402

Now substitute the values in the 1st and 2nd equations into the 3rd.

(B+65) + B + (B-41) = 402

this is equivalent to:

3B + (65-41) = 402

this is equivalent to:

3B + 24 = 402

this is equivalent to:

3B = 402 - 24 = 378

solving for B, we get:

[tex]B\text{ = }\frac{378}{3}=126[/tex]

We can conclude that the correct answer is:

first aircraft A:

A = B + 65 = 126 + 65 = 191

that is:

A = 191

second aircraft:

B = 126

third aircraft:

C = B - 41 = 126 - 41 = 85

that is:

C = 85

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