Which graph represents the solution set of the system of inequalities?

(1st picture is question and 1st set of answers 2nd picture is 2nd set of answers.

Which Graph Represents The Solution Set Of The System Of Inequalities?(1st Picture Is Question And 1st
Which Graph Represents The Solution Set Of The System Of Inequalities?(1st Picture Is Question And 1st

Answers

Answer 1
The inequalities are
y ≤ 2x + 1
and
y > -2x -3

Conveniently, they are already in slope-intercept form. Looking at the inequalities, we know off the bat there will be one dotted line and one solid line, since one is a "greater than" inequality (dotted line) and the other is "greater than or equal to" (solid line). This automatically rules our option B and C. 

-The solid line will have a slope of 2 and a y-intercept of 1 
-The dotted line will have a slope of -2 and a y-intercept of -3. 

Both option A and D satisfy this, so which one has correct shading?
Option D has the shaded region below the solid line and above the dotted line, which agrees with our system of inequalities.

Answer is D

Related Questions

after taking 1/4 pound of flour from a canister to make muffins, maria has 7/8 of the flour left. If each batch of muffins requires 2/5 pound of flour, find the greatest number of batches of muffins that Maria can make using the remaining flour/

Answers

You need a common denominator to calculate the amount of flour left, the easiest is 40 since 5*8 is 40 and 8*5 is 40. So you multiply the fractions to make them common by 40, you have 35/40 flour left and need 16/40 per batch. 16 goes into 35 2 times and you would have 3/40 of flour left.

Joshua earns $8.20 per hour when he works at the college library. How much money does he earn by working at the library for $4.5 hours.



PLEASE HELP!!!

Answers

8.20 x 4.5   36.9

he earns $36.90
36.9 is the answer that should be it

What is the distance between S and T? If necessary, round to the nearest tenth.

Answers

the two triangles are similar, so the sides are proportional
36/81=48/ST
ST=108
It would be 108 km. Since PR is parallel to RT, we have to divide 81/36 to get the scale factor, which in this case would be 2.25. Then you multiply 2.25 to 48, to get 108 km.

How to determine if the function has x-axis sym, y-axis sym, and origin sym

y^2 -xy =2

Answers

To check for symmetry on the x axis, replace y with –y

-y^2 –x(-y) =2

 Apply the product rule, since the equation is not identical tot eh original equation it is not symmetric about the x axis

 Now do the same for y axis by replacing x with –x

 Again using product rule the equations are not identical, so it is not symmetric about the y axis

 To check the origin,

 Replace both x & y with –x  & -y

Again using product rule, the equations are not identical so it is not symmetric about the origin


Final answer:

To check for symmetry, replace x with -x and y with -y in the equation. Upon doing that for y^2 -xy =2, we find it lacks x-axis, y-axis, and origin symmetry.

Explanation:

To determine whether a function has x-axis symmetry, y-axis symmetry, or origin symmetry, we have to replace x with -x and y with -y and see whether we get the same function.

X-axis symmetry: Replace y with -y. The equation becomes (-y)^2-(-y)x=2 which simplifies to y^2+xy=2. This is different from the original function, so there is no x-axis symmetry.Y-axis symmetry: Replace x with -x. The equation becomes y^2-(-x)y=2 which simplifies to y^2+xy=2. This is different from the original function, so there is no y-axis symmetry.Origin symmetry: Replace x with -x and y with -y. The equation becomes (-y)^2-(-y x -x)=2, which simplifies to y^2+xy=2. This is different from the original function, so there is no origin symmetry.

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Time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 8 min and standard deviation 3 min. if five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (round your answer to four decimal places.)

Answers

Calculate the z-score of the given by the equation,

   z-score = (x - m)/s

where x is the data point, m is the mean, and s is the standard deviation. Substituting the known values,

    z-score = (11 - 8)/ 3 = 1

This translates to 0.84. 

ANSWER: 0.84. 

What is the domain of the function f(x)= 1/3x+2

Answers

If it is 1/(3x+2), 3x+2≠0 =>x≠-2/3, the domain is all real number except -2/3
if it is 1/(3x)+2, 3x≠0, x≠0, the domain is all real number except 0

It is hard to tell from your equation what the demonstrator is.

The answer is the last one

x≥-6

I hope this helps, and God bless <3

there are seven days how many days are there in 16 weeks

Answers

There are 112 days in 16 weeks because all you have too do is take 16 and multiply it by 7 which gets you 112. Hope this helped.
it would be 112 days :-)
16 x 7 = 112 

Which graph represents the function y=2/3x-2

Answers

We can graph y = 2x/3 - 2 to find the line.

We know one point, which is the y-intercept. The y-intercept is (0,-2) so that is our first point. Plot that point on the chart. Now to find another point, we can just insert a number for x and solve for y. I am going to use the number 3.

 y = 2x/3 - 2 
 y = 2(3)/3 - 2 
 y = 6/3 - 2 
 y = 2 - 2 
 y = 0
So when x = 3 y = 0. We have another point,which is (3,0) Plot the points (0, -2) (3, 0) and draw a line between the points and that is your graph. It will look the image I attached.



Answer:

Here you go! used a graphing calculator for accuracy.

Step-by-step explanation:

Write an equation for "eight less than a number is seventy-five". What is the number? n - 8 < 75; -67 n - 8 = 75; 67 n - 8 = 75; 83 n - 8 < 75; 67

Answers

n-8=75 
n is the number
so number minus 8 equals 75

n-8=75

n is the number

so number minus 8 equals 75

Use place value to find the product 3x600=3x

Answers

x = 600 because 3x600 = 1800 meaning x needs to be 1800 and 3 x 600 is 1800 

Jack is mowing a lawn that has a shed. Jack wants to know the area of the lawn he has to mow. here are the dimensions of the yard and the shed. 13x-4 length 5x withd shed is 2x+4length withd is 2x
find a polynomial that describes the area of the lawn he has to mow. i.e. find the area of the area of the shed.

Answers

We know that the formula for area is simply:

area = l w

where l is length and w is width

 

yard dimensions: l = 13x – 4, w = 5x

Ayard = (13x – 4) 5x = 65x^2 – 20x

 

shed dimensions: l = 2x + 4, w = 2x

Ashed = (2x + 4) 2x = 4x^2 + 8x

 

Therefore the area to mow is:

Amow = Ayard – Ashed

Amow = 65x^2 – 20x – (4x^2 + 8x)

Amow = 65x^2 – 20x – 4x^2 – 8x

Amow = 61x^2 – 28x

Based on the graph of the line below, which describes the relationship between the value of the y-intercept and the value of the slope?

Answers

y intercept x = 0, y = 3

(-9,0)(0,3)
slope = (3-0)/(0+9) = 1/3

answer
A. y intercept is 3 and slope is 1/3

the value of the 7 in 507,264 is 10 times the value of the 7 in which number?

Answers

The value of seven is in the thousands place and is 10 time the number seven if it were at the hundreds place, which is where 2 is.

7000=10 x 700
7000=7000

Answer:

The value of the 7 in 507,264 is 10 times the value of the 7 in number 2

Step-by-step explanation:

Given Number : 507,264

To find : Number in which the value of the 7 in 507,264 is 10 times the value of the 7 .

Starting from the left ,

4 is in ones place

6 is in tens place

2 is in hundreds place

7 is in thousands place

0 is in ten thousands place

5 is in lakhs place

Here, 7 is in thousands place

7000 = 10 x 700

2 is in hundreds place

200 = 2 × 100

Therefore, the value of the 7 in 507,264 is 10 times the value of the 7 in  number 2 .

A car is traveling at a rate of 40 miles per hour. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

Answers

1 mile = 1.6 kilometers

 multiply 40 mph by 1.6 = 64

car's rate = 64 kilometers per hour


multiply kilometers per hour by 4 = 256

 car will travel 256 kilometers in 4 hours

What he said. Multiply 40 by the numbers

if 2 out of every 20 ducks were banded, What percent were not​ banded?

Answers

90% are not banded ducks

if 2 were banded that means 18 out of 20 were not banded

 18 divided by 20 = 0.9

 so 90% were not banded

Tina has put 15 of her old CDs in a storage crate. How many more CDs can she store in the crate if it can hold no more than 23 CDs

Answers

23-15=8 I think the answer is 8


Since she can only have 23 in the crate, and she already has 15, you subtract 15 from 23.

23 - 15 = 8

She can only fit 8 more CDs.

Hope this helps!


after 9 months, the simple interest earned on an investment of $1200 is $72. find the interest rate.

Answers

Use the formula i=prt, where i is the interest earned, p is the principal, r is the rate (as a decimal fraction) and t is the elapsed time, in years.

Here i = $72 = $1200 r (9/12)                    (9 months is 9/12, or 3/4, of 1 year)
Reducing, 
              $72 = $900r
                                          Solving for r, r=0.08, or 8 percent per year.

what is a decimal number which never ends, but whose digits after the decimal point come in a predictable pattern called? it starts with the letters re.

Answers

repeating decimals.....I think that is what you mean
Repeating decimal which never ends, but whose digits after the decimal point come in a predictable pattern.

Ahmad is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 12 feet and its width is 10 feet. Suppose each bag of fertilizer covers 30 square feet. How many bags will he need to cover the garden?

Answers

You will need 4 bags.



Hope it helps!

which of the following steps were applied to abc obtain a'b'c'

Answers

d) shifted 2 units left and 4 units up

Answer:

Shifted 2 units left and 4 units up

Step-by-step explanation:

Given are two triangles

ABC is having vertices as (4,6) (7,6) and (5,9)

The transformed image A'B'C' has vertices as

(2,10) (5,10) (3,13)

On comparing the vertices corresponding we find a certain pattern.

X coordinate is reduced by 2 and y coordinate is increased by 4.

This implies the transformation is

Shifted 2 units left and 4 units up

the difference of twice a number and 3

Answers

2n/3
the difference means divide 2 times(multiply)a number 

A six-sided rectangular box is to hold 1/2 cubic meter; what shape should the box be to minimize surface area?

Answers

A circle is an object which has the lowest surface area to volume ratio. So in this case, the shape should be like that of a circle but we cannot have a circle here because we want to form a 6 sided box. So the next thing closer to circle is a square. Hence the shape should be a square:

 

Answer:

square

Final answer:

To minimize surface area for a given volume of 1/2 cubic meter, the box should be shaped as a cube with each side measuring approximately 0.7937 meters. This cube shape offers the smallest surface area for the given volume.

Explanation:

To minimize the surface area of a six-sided rectangular box with a volume of 1/2 cubic meter, it is best to make the box in the shape of a cube. This shape has the smallest surface area for a given volume. To find the dimensions of the box, let's denote the side of the cube as 's'. We know that volume V of a cube is given by V = s³. So, if the volume is 1/2 cubic meter, we have:

s³ = 1/2

s = ∛(1/2) ≈ 0.7937 meters

Each side of the cube should be approximately 0.7937 meters to achieve the minimal surface area. The surface area SA of the cube can be calculated as:

SA = 6s²

SA = 6 × (0.7937)² ≈ 3.770 meters²

Thus, a cube with sides of about 0.7937 meters will have the minimal surface area for a volume of 1/2 cubic meter.

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The length of a rectangle is given by 5t+4sqrt(t), and its height is sqrt(t), where t is time in seconds and the dimensions are in centimeters. Fine the rate of change of the area of the rectangle with respect to time when the length of the rectangle is 9 centimeters.

Answers

Answer:

11.5 cm²/s

Step-by-step explanation:

We must solve two problems to answer this question:

find the time at which the length is 9 cmfind the rate of change of area with respect to time (at that time)

For the first problem, we have ...

... 9 = 5t +4√t

... 9 -5t = 4√t . . . . . subtract 5t

... 81 -90t +25t² = 16t . . . . square both sides

... 25t² -106t +81 = 0 . . . subtract 16t

... (t -1)(25t -81) = 0 . . . . factor

... t = 1 or 3.24 . . . . . . t=3.24 is an extraneous solution

_____

For the second problem, we have area (a(t)) is ...

... a(t) = length×height = (5t +4√t)(√t) = 5t^(3/2) +4t

Then the derivative is ...

... a'(t) = (3/2)(5√t) +4

and

... a'(1) = (3/2)(5√1) +4 = 11.5 . . . . . cm²/s

_____

Comment on the attachment

A graphing calculator can help solve both problems. It can help find the time at which length is 9 cm by solving ... length-9 = 0. (The nice thing here is that there is no extraneous solution.) It can compute the derivative of a function, too.

Choose the answer. 3. (1 pt) Suzanne cut a ribbon into 9 equal pieces. She sewed 5 pieces onto her quilt. Which number line shows a dot representing the fraction of the ribbon that was sewn onto the quilt? A. B. C. D.

Answers

Given that Sussan sew 5 out of 9 cut out ribbins unto her quilt, the number line that shows a dot representing the fraction of the ribbon that was sewn onto the quilt is given by:

A number line with 9 partitions with a dot marked on the 5th partition.

Which statement proves that PQRS is a parallelogram? The slopes of SP and RQ are both –2 and SP = RQ = . The slopes of RS and QP are both 3 and SP = RQ = . The midpoint of RP is and the slope of RP is . The midpoint of SQ is and SQ = 5

Answers

Answer:

The correct option is 1. The figure PQRS is a parallelogram, if slope of SP and RQ are both –2 and SP = RQ.

Step-by-step explanation:

The opposite sides of a parallelogram are parallel are equal.

In the quadrilateral PQRS,

PQ and RS are opposite sides.

SP and RQ are opposite sides.

The slope of two parallel lines are same.

If the slopes of SP and RQ are both –2. It means SP and RQ are parallel. It is also given that

SP = RQ

Since one pair of opposite sides are equal and parallel, therefore the another set of opposite sides is also parallel and equal.

The opposite sides are prallel and equation, so the quadrilateral PQRS is a parallelogram.

Thus correct option is 1.

The statement that proves that quadrilateral PQRS is a parallelogram is: A. The slopes of SP and RQ are both –2 and SP║RQ.

Properties of the Sides of a Parallelogram

A parallelogram is a quadrilateral having two pairs of opposite sides that are equal and parallel to each other, and also, the slopes of opposite sides of a parallelogram are the same.

Therefore, the statement that proves that quadrilateral PQRS is a parallelogram is: A. The slopes of SP and RQ are both –2 and SP║RQ.

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Find two consecutive odd integers such that their product is 71 more than 3 times their sum.

Answers

Let's put this in terms of a system of equations. Let's call the numbers x and y, with x being the larger integer and y the smaller one. Since they are consecutive odd integers, we know that:
x = y + 2
The constraint is:
xy= 3(x+y) + 71         Simplify
xy = 3x + 3y + 71       Plug in (y+2) for x:
(y + 2) y = 3(y + 2) + 3y + 71         Simplify
y² + 2y = 3y + 6 + 3y + 71              Subtract 6y from  both sides, add 71+6
y² -4y = 77
y² - 4y - 77 = 0
Factor:
(y - 11) (y+7) = 0
y = 11 or y=-7

When y = 11, x = 13, since x = y+2
Plug in to make sure:
xy = 3(x+y) + 71
11*13 = 3 (11 + 13) + 71
143 = 3 (24) + 71
143 = 72 + 71
143 = 143               
Our values work! 
Answer: 11, 13

6.14 x 10 to the power of negative 9 in standard form

Answers

6.14 x 10^-9 = 0.00000000614
0.00000000614 is the standard form

Find the product of 4×7×25tell which strategy you used

Answers

A product is simply the outcome of multiplying two or more numbers together, so just type 4x7x25 into a calulator = 700

what is the value of this expression when x = -1 and y = 2?

4x³y²

Answers

Substituting in you get 4(-1)^3 * (2)^2. -1 cubed is -1 and 2 squared is 4. So you get -4*4 = -16 as your answer.

Find the simple interest. Principal ​$2300 rate 20​% time 27 months The interest is ​$ ?

Answers

[tex]\bf \qquad \textit{Simple Interest Earned}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$2300\\ r=rate\to 20\%\to \frac{20}{100}\to &0.20\\ t=years\to \frac{27}{12}\to &\frac{9}{4} \end{cases} \\\\\\ I=2300\cdot 0.2\cdot \cfrac{9}{4}[/tex]
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