What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.

What System Of Linear Inequalities Is Shown In The Graph?Enter Your Answers In The Boxes.

Answers

Answer 1

Answer:

y ≤ (-2)x+2

y < (1/3)x + 2

Step-by-step explanation:

First, we'll want to figure out the lines that are intersecting.

To find the equation of a line given two points (of form y=mx+b), we can first find the slope (m). This is equal to (y₂-y₁)/(x₂-x₁) for points (x₁,y₁) and (x₂,y₂). Then, we can plug a point in and solve for b.

For the line that has points at (1,0) and (2, -2), our slope is

(y₂-y₁)/(x₂-x₁) = (-2-0)/(2-1)

= (-2)/1

= -2

Our equation is therefore y= (-3/2)x+b. Plugging a point like (2,-2) in, we get

-2 = (-2)(2) + b

-2 = -4 + b

add 4 to both sides to isolate b

b =2

Our equation is thus y = (-2)x+2

For the other line, with points at (-3,1) and (0,2), our slope is (2-1)/(0-(-3)) = 1/3

Then, our equation is y=(1/3)x+b

plug (-3,1) in

1 = (1/3)(-3) + b

1 = -1 + b

add 1 to both sides to isolate the b

b =2

Our equation is thus y=(1/3)x + 2

Our equations are y=(1/3)x + 2 and y = (-2)x+2. In the graph shown, the shaded area is under both the lines (it is also to the left of them, not to the right or on top). Therefore, we can say that the shaded area is less than the line.

For y = (-2)x+2, the line is not dotted, so the line is included in the region. This means that our inequality is y ≤ (-2)x+2 (note the ≤ rather than simply the < sign)

For y=(1/3)x + 2, the line is dotted, so it is not included in the region. This means that our inequality is y < (1/3)x + 2


Related Questions

What is the quotient in simplest form? 12/7 ÷ 3​

Answers

The answer is 0.5714285714

Can someone help me with this math homework please!

Answers

Answer:

I think it's h(x)

Step-by-step explanation:

My knowledge

Hope it helps!

9514 1404 393

Answer:

  (c)  g(x)

Step-by-step explanation:

The initial temperature is -3, so you're looking for graphs that cross the y-axis at y = -3. The functions g(x) and h(x) do that.

The temperature rises 2 degrees per hour, so you're looking for a function that increases by 2 for each 1 unit to the right. Only the function g(x) does that.

The line g(x) represents the scenario.

A retailer sold an electric item to a customer at a loss of 10 percent the customer purchase it for rs 25425 including 13, percent VAT calculate the cost price of the electric item to the retailer

Answers

Answer: Rs 25,000

Step-by-step explanation:

Given

Retailer sold an electric iron to a customer at a loss of 10%

Suppose the Cost price of iron is [tex]x[/tex]

So, selling price is [tex]0.9x[/tex]

This price must be equal to [tex]25425[/tex]+ VAT

[tex]\Rightarrow 0.9x=25425-0.13(0.9x)\\\Rightarrow 0.9x+0.117x=25425\\\Rightarrow 1.017x=25425\\\Rightarrow x=\text{Rs }25,000[/tex]

Thus, the cost price is [tex]Rs.25,000[/tex]

please help, it is associated with angles. thank u ;)

Answers

Answer:

angle c is 63

Step-by-step explanation:

Angles in a triangle add up to 180 therefore

70+47+x=180

x=180-117

=63°

I hope this helps

Angel c is 63, hope this helps

The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70, find its length and width.

Answers

Answer:

[tex]l = 6w - - - - 1 \\ \\ 2l + 2w = 70 - - - - - 2 \\ \\ solving \: simultaneously \\ put \: l = 6w \: into \: 2 \\ 2(6w) + 2w = 70 \\ 12w + 2w = 70 \\ 14w = 70 \\ w = 5 \\ \\ l = 6w \\ l = 6(5) \\ l = 30[/tex]

Mr. Matthew was testing the only popularity of us custom-made belts and wallets that are marked differently some items were sold prior to the online launch date

Answers

Complete question is;

Mr. Matthew is testing the online popularity of his custom made belts and wallets that were marketed differently. Some items were sold prior to the online launch date.

The equation below represents the number of belts sold, s, x days after its online launch. S = 3^(x)

The equation below represents the number of wallets sold, s, x days after its online launch. S = 4x + 15

Using graphing technology, complete the statements. After ___ days, the total number of belts sold will be the same as the total number of wallets sold. The number of belts and the number of wallets Mr. Matthew sold after this many days is ___

Answer:

Number of days = 3 days

Total belts and wallets after 3 days = 54

Step-by-step explanation:

We are told that the number of belts sold, s, x days after its online launch. S = 3^(x)

Also, we are told that the number of wallets sold, s, x days after its online launch. S = 4x + 15

Now, we want to find the Number of days that total number of belts sold will be the same as the total number of wallets sold using graphing technology.

The number of days will simply be the value of x where the two graphs meet.

I have drawn the graph of both equations.

From the attached graph, we can see that the x-value at where the both graph lines meet is approximately 3. I didn't take the negative solution because number of days cannot be negative.

Thus, x = 3

Putting x = 3 in;

S = 3^(x)

S = 3^(3)

S = 27

Similarly, Putting x = 3 in;

S = 4x + 15

We have;

S = 4(3) + 15

S = 12 + 15

S = 27

Thus,total number of belts and wallets sold after 3 days = 27 + 27 = 54

1/100,000 as a power of ten. What Is it?

Answers

Answer:

10^-5

10^-5 = 1/100,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{1}{100000}=\frac{1}{10^{5}}=10^{-5}\\\\\\\frac{1}{a^{m}}=a^{-m}[/tex]

Helppppp pleaseeee anyoneeeeeee!!!!!!!!!!!!!

Answers

Answer: 314.5

Explanation

Divide the areas into conventional shapes with determined formulas, rectangles, triangles and add them together

(17x5)+(18x4)+(21x15/2)

= 314.5

Hope this helps :)

is the relationship linear exponential or neither

Answers

Plugging the values into a table on desmos, it clearly follows an exponential equation as shown by the equation of best fit. Therefore, the relationship is exponential.

plzz helppp!!!!!!!!!1111

Answers

AB = CB, AD = CD, DB = BD

HELPPPP MEEEE OUTTTTT ASAPPPPP PLEASEEEEE!!!!!

Answers

Answer:

cos A = 7/25

Step-by-step explanation:

Since we are given a right triangle, we can use trig functions

cos A = adj side/ hypotenuse

cos A = 7/25

Answer:

[tex]\boxed{\sf cos\ A =\frac{7}{25}}[/tex]

Step-by-step explanation:

We need to find out the value of cos A using the given triangle . Here we can see that the sides of the triangle are 7 , 25 and 24 .

We know that the ratio of sine is base to hypontenuse .

[tex]\sf\longrightarrow cos\theta =\dfrac{ base}{hypontenuse}[/tex]

Here we can see that the side along the angle A is 7 , therefore the base of the triangle is 7. And the side opposite to 90° angle is 25 . So it's the hypontenuse . On using the ratio of sine ,

[tex]\sf\longrightarrow cos \ A =\dfrac{ b}{h}=\dfrac{AB}{AC}[/tex]

Substitute the respective values ,

[tex]\sf\longrightarrow \boxed{\blue{\sf cos \ A =\dfrac{7}{25}}}[/tex]

Hence the required answer is 7/25.

what is the value of k if the function f(x)=(2-k)/(5x+k) if the graph of the function passes through the point (-1,1/2)

Answers

Answer:

k = 3.

Step-by-step explanation:

At the given point x = -1 an f(x) = 1/2, so we have the equation:

1/2 = (2 - k)/(5(-1) + k)

(2 - k)/(k - 5) = 1/2

Cross multiplying:

2(2 - k) = k - 5

4 - 2k = k - 5

-2k - k = -5 -4

-3k = -9

k = 3.

Find the marked angles in each of the following. (where a point O is given it is the centre of the circle.)​

Answers

Answer:

answer is in the attachment.

pals fast what are amplitude, period, phase shift and midline for f(x)=-4 cos (3x-pi)+2

Answers

Answer:

amplitude = |-4| =4

period = 2 pi/3

phase shift = pi / 3

midline = 2

Step-by-step explanation:

f(x)=-4 cos (3x-pi)+2

The equation is in the form

f(x) = a cos (bx -c) +d  where |a| is the amplitude

period  is 2 pi /b

phase shift:  c/b

midline = d

amplitude = |-4| =4

period = 2 pi/3

phase shift = pi / 3

midline = 2

Please help ASAP!!!! What is the length of BC?

Answers

Answer:

x=24

Step-by-step explanation:

Answer:

BC = 24

Step-by-step explanation:

Since ∠ B and ∠ C are congruent the the triangle is isosceles with

AC = AB , that is

3x - 15 = x + 33 ( subtract x from both sides )

2x - 15 = 33 ( add 15 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

BC = x = 24

For each graph below, state whether it represents a function.

Answers

Graph1-Yes
Graph2-yes
Graph 3- NO
Graph4-yes
Graph5-No
Graph6/No

Graph exists as an illustration of any object or a physical format by dots, lines, etc.

What is graph function?

The graph of a function f exists the set of all points in the plane of the form (x, f(x)). We could also describe the graph of f to be the graph of the equation y = f(x). So, the graph of a function exists in a particular case of the graph of an equation.

A function is defined as a connection between a set of inputs containing one output each. In simple words, a function exists as an association between inputs where each input is connected to exactly one output. Every function includes a domain and codomain or range. A function exists generally represented by f(x) where x is the input.

From the given figure,

Graph 1 exists a function.

Graph 2 exists a function.

Graph 3 doesn't exist as a function.

Graph 4 exists a function.

Graph 5 doesn't exist as a function.

Graph 6 doesn't exist as a function.

Hence, Graph exists as a representative of any object or a physical design by dots, lines, etc.

To learn more about graph refer to:

https://brainly.com/question/11803331

#SPJ2

How would I solve this half life problem?

Answers

Bye using the half life formula

How do I find the low value of a box plot

Answers

The far left of the chart is the minimum(low) value of the box plot.

Answered by Gauthmath must click thanks and mark brainliest

Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cupsss

Answers

Answer:

158.33 minutes = 2.63 hours

Step-by-step explanation:

Hi!! Please help me with this question. I got an answer of 63.25 but it was incorrect and need to redo it. Please also explain how you got the answer and why mine was wrong.

Use ΔDEF, shown below, to answer the question that follows:

Triangle DEF where angle E is a right angle. DE measures 55. EF measures x. Angle D measures 49 degrees.

What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

Answers

Answer:

x ≈ 63.27

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan49° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{x}{55}[/tex] ( multiply both sides by 55 )

55 × tan49° = x , then

x ≈ 63.27 ( to the nearest hundredth )

The value of cube root of x^10, when x = -2, can be written in simplest form as a^3 times the square root of b, where a = _____ and b = ______.

Answers

Answer:

[tex]a = 2[/tex]

[tex]b = 2^{1/6}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]

[tex]x = -2[/tex]

Required

Find a and b

We have:

[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]

Substitute -2 for x

[tex]\sqrt[3]{(-2)^{10}} = a^3 * \sqrt b[/tex]

[tex]\sqrt[3]{1024} = a^3 * \sqrt b[/tex]

Expand

[tex]\sqrt[3]{2^9 * 2} = a^3 * \sqrt b[/tex]

Split the exponents

[tex]2^{(9/3)} * 2^{(1/3)} = a^3 * \sqrt b[/tex]

[tex]2^{3} * 2^{1/3} = a^3 * \sqrt b[/tex]

By comparison:

[tex]a^3 = 2^3[/tex]

So;

[tex]a = 2[/tex]

and

[tex]\sqrt b = 2^{1/3}[/tex]

Take square roots of both sides

[tex]b = 2^{1/6}[/tex]

Answer: -8, -2

Step-by-step explanation: (the previous answers are ) 1. D 2. C 3. -8,-2 (for reference of order :))

A dealer spent a total amount of $5250 for importing some cosmetics. If the total cost of the cosmetics was $5000 without tax, what was the percentage of import tax?

Answers

Answer:

5%

Step-by-step explanation:

First, find the amount of tax:

5250 - 5000

= 250

Divide this by the original price of $5000 to find the percent of import tax:

250/5000

= 0.05

So, the percent of import tax is 5%

Can someone help me please ?

Answers

Answer:

I would say D is your answer

Step-by-step explanation:

Answer:

the fourth one

use mathaway its like my best friend for math!!!

Step-by-step explanation:

ASAPppppppppppppppppp

Answers

Answer:

9/16

Step-by-step explanation:

3/8 ÷ 2/3

Copy dot flip

3/8 * 3/2

Multiply the numerators

3*3=9

Multiply the denominators

8*2 = 16

Numerator over denominator

9/16

The rectangular top of a small box has dimensions of 140 mm by 230 mm.

How long (in centimeters) would a ribbon need to be to go all the way around the edge of the top of the box?

A.) 740 cm
B.) 74 cm
c.) 37 cm
D.) 7,400 cm

Answers

Answer: B. 74 cm

Step-by-step explanation:

Concept:

Here, we need to know the idea of unit conversion and perimeter.

When there are multiple units in a question, then we should convert all units into one through converting factors.

Perimeter is the distance around a two-dimensional figure.

P = 2 (w + l)

1 cm = 10 mm

Solve:

140 mm = 14 cm

230 mm = 23 cm

P = 2 (w + l) ⇒ Given

P = 2 (14 + 23) ⇒ Substitute

P = 2 (37) ⇒ Addition

P = 74 cm ⇒ Simplify through muliplication

Hope this helps!! :)

Please let me know if you have any questions

What do I need to do to be able to solve this problem?

Answers

9514 1404 393

Answer:

  (x, y, z) = (5, 11, 6)

Step-by-step explanation:

To solve this problem, you need to understand "row operations". The ones we're concerned with are multiplying a row by a scalar, and adding rows together.

You also need to understand what the solution looks like, and the usual way that is achieved. The solution will have the 3×3 matrix left of the vertical line be a diagonal of 1s (the identity matrix). Then the numbers to the right of the vertical line represent the solution.

__

In the following, we will use the notation [a]+b[c]⇒[d] to mean that row 'a' is added to the product of row 'c' and the scalar 'b' and that sum replaces row [d]. Multiplying a row by a scalar multiplies each element in the row by that scalar.

The first several operations look like this. Notice we have made the upper left 2×2 matrix an identity matrix. Steps will continue to take care of the 3rd column.

  [tex]\left[\begin{array}{ccc|c}1&1&1&22\\6&1&8&89\\-6&4&4&38\end{array}\right] \qquad\text{given}\\\\\left[\begin{array}{ccc|c}1&1&1&22\\0&-5&2&-43\\0&5&12&127\end{array}\right]\qquad\text{[2]+[3]$\rightarrow$[3];\ 6[1]+[2]$\rightarrow$[2]}\\\\\left[\begin{array}{ccc|c}1&1&1&22\\0&1&-0.4&8.6\\0&0&14&84\end{array}\right]\qquad\text{[2]+[3]$\rightarrow$[3];\ $-\frac{1}{5}$[2]$\rightarrow$[2]}\\\\\left[\begin{array}{ccc|c}1&0&1.4&13.4\\0&1&-0.4&8.6\\0&0&14&84\end{array}\right]\qquad\text{[1]-[2]$\rightarrow$[1]}[/tex]

Now, we normalize the third column.

  [tex]\left[\begin{array}{ccc|c}1&0&1.4&13.4\\0&1&-0.4&8.6\\0&0&1&6\end{array}\right] \qquad\text{$\frac{1}{14}$[3]$\rightarrow$[3]}\\\\\left[\begin{array}{ccc|c}1&0&0&5\\0&1&0&11\\0&0&1&6\end{array}\right] \qquad\text{$-\frac{7}{5}$[3]+1$\rightarrow$[1];\ $\frac{2}{5}$[3]+[2]$\rightarrow$[2]}[/tex]

This is the target of our row operations. It tells us the solution to the system of equations is ...

  (x, y, z) = (5, 11, 6)

_____

A number of online calculators and phone or tablet apps are available for putting a coefficient matrix into this "reduced row-echelon form." Many graphing calculators will do this, too.

In the end, this is not terribly different from ad hoc solution using "elimination" methods. That is precisely what we did when we created the zeros in the first two columns of row 3.

Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic

Answers

Answer:

Independent means that one has no effect on the other. Exclusive means one cannot happen alongside the other. In simpler terms, independent events can be thought of as the chance it'll rain and how many people are flossing their teeth in the morning. Both happen, but neither one impacts the other.

Exclusive, on the other hand, means only one can happen. Lets say at nine in the evening your favorite show is on. However, you have an early morning and should be asleep by nine. You cannot both be asleep and watching your favorite show, and so these events are exclusive.

Equivalent expression -2/3a+5/6a-1/6

Answers

Answer:

324

Step-by-step explanation:

What is the following sum?
4(^5sqrtx^2y) + 3(^5sqrtx^2y)

Answers

Answer:

option 3

Step-by-step explanation:

[tex](4 + 3) \sqrt[5]{x {}^{2}y } = 7 \sqrt[5]{ {x}^{2}y } [/tex]

Answer:

[tex]7( \sqrt[5]{ {x}^{2}y } )[/tex]

Step-by-step explanation:

[tex]4( \sqrt[5]{ {x}^{2}y } ) + 3( \sqrt[5]{ {x}^{2} y} )[/tex]

[tex](taking \: \sqrt[5]{ {x}^{2}y } \: as \: common \: then)[/tex]

[tex] = \sqrt[5]{ {x}^{2} y} (4 + 3)[/tex]

[tex] = \sqrt[5]{ {x}^{2} y} \times 7[/tex]

[tex] = 7 (\sqrt[5]{ {x}^{2}y } )(ans)[/tex]

Naglakad si Ruben ng 900 sentimetro samantalang si Jaime ay naglakad ng
10 na metro. Gaano kalayo ang pagitan ng nalakad ni Jaime kay Ruben sa
sentimetro?
a. 200 cm c. 300 cm
b. 100 cm d. 250 cm

Answers

Sagot:

100 cm

Hakbang-hakbang na paliwanag:

Kung ganoon :

Distansya na sakop ng Ruben = 900 centimetri

Distansya na sakop ng Jamie = 10 metro

Pagko-convert sa centimeter:

100 cm = 1 m

x cm = 10 m

Paggamit ng multiplikasyon ng krus:

x = 100 * 10

x = 1000 cm.

Dahil dito Distansya ni Jamie = 1000 cm

Distansya sa pagitan ng Jamie at Ruben;

1000 cm - 900 cm = 100 cm

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