Helpp!! Solve the system by graphing.

By analyzing the inequality and solving, the range of values of x for which the inequality is true is x € (-4/3, 4)

Domain is the input to the function.

Range is the output of the function.

First, we'll consider the case where |2x+1|-x-3<0.

|2x+1|-x-3<0

|2x+1|<x+3

Now we need to take the absolute value of 2x+1, we have two cases to consider:

Case 1:

2x + 1 > 0

2x + 1 < x + 3

2x - x < 3 + 1

x < 4

Case 2:

2x + 1 < 0

-2x - 1 < x + 3

-2x - 1 -x - 3 < 0

-3x - 4 < 0

x > -4/3

Now we must find the intersection between the two cases:

x € (-4/3, 4)

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Answer:

3

Step-by-step explanation:

Answer:

light

Step-by-step explanation:

it has kinetic energy

Answer:

Step-by-step explanation: Kinetic energy is made because of movement. So Motion would be the correct answer

The exponential function  can be written as y = 700e^-0.094t.

We know that the term function would have to do with a mathematical rule that we can use to be able to obtain specific values. Now we have to know that there was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.4% each year.

We can use;

N = Noe^-rt

N = amount at time t

No = Amount at the beginning

r = decay rate

t = time taken

Thus we have; y = 700e^-0.094t

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Roller coaster B has greater top speed than roller coaster A.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Given,

speed of roller coaster A = 110ft./s

speed of roller coaster B = 85mph

1 mile = 5280 feet

⇒ 85 mile = 5280 × 85 = 448800 feet

1 hour = 3600 seconds

speed of roller coaster  B = 448800/3600 ft/s = 124.67 ft/s

comparing speed of both

Speed of roller coaster B > speed of roller coaster A

Hence, Top speed of roller coaster B is greater than roller coaster A.

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Answer:

9,603 ovens

Step-by-step explanation:

Given:

Last year ---> 32,010 ovens

This year ---> 30% of last year

Question:

How many ovens did they sell this year?

Work:

To find out how many ovens they sold this year, all of you have to do is just multiply 30% by 32,010, the amount of ovens they sold last year

32,010 * 0.3 = 9,603

Solution:

Easy Cooking sold 9,603 ovens this year.

Hope this helped! :D

Answer:

[tex] \sf \: d) \: 82[/tex]

Step-by-step explanation:

Given information,

→ d = 10

→ u = 7

→ e = 3.2

The expression is,

→ d(e + 5)

Let's evaluate the expression,

→ d(e + 5)

→ 10(3.2 + 5)

→ 10 × 8.2

→ 82

Hence, option (d) is correct.

Answer:

Option D) 82

Step-by-step explanation:

Given ,

d = 10

u  = 7

e = 3.2

To Find  : [tex]d(e+5)[/tex]

Applying the values in the equations we get

[tex]10(3.2+5)\\[/tex] Applying Distributive property

[tex]32+50 = 82[/tex]

Hence , Option D) is the answer

The length of the diagonal of the rectangular tennis court is given as follows:

26.4 meters.

The tennis court is rectangular, meaning that the diagonal is the hypotenuse of a right triangle, in which the sides are the length and the width.

Applying the Pythagorean Theorem, the diagonal length can be obtained as follows:

d² = 24² + 11²

d² = 697

[tex]d = \sqrt{697}[/tex]

d = 26.4 m.

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Answer:

[tex]\frac{13}{17}[/tex]

Step-by-step explanation:

just a tip use math-way in the future it's always been great

Hope this helps!

[tex]6(5x-3)[/tex]

Distribute:

[tex](6)(5x)+(6)(-3)[/tex]

[tex]=\fbox{30x - 18}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6(5x - 3)}[/tex]

[tex]\text{DISTRIBUTE 6 WITHIN the PARENTHESES}[/tex]

[tex]\mathsf{= 6(5x) + 6(-3)}[/tex]

[tex]\mathsf{= 30x - 18}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\mathsf{30x - 18}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

13

Step-by-step explanation:

Cuz the factor of y is angle to the 115° is to the Y value

The key features of the graph of the given equation -8x + 20y = 240 include the following:

D. As x → -∞, y → ∞.

E. The y-intercept is (0, 12).

H. The x-intercept is (-30, 0).

Making y the subject of formula in order to determine the slope, we have:

20y = 8x + 240

Dividing both sides of the equation, we have:

y = 8x/20 + 240/20

y = 8x/20 + 12

Therefore, the slope is equal to 8/20.

In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

When x = 0, the y-intercept is given by;

20y = 8(0) + 240

y = 240/20

y = 12.

Therefore, the y-intercept is equal to (0, 12).

When y = 0, the x-intercept is given by;

-8x + 20(0) = 240

x = -240/8

x = -30

Considering the definition of a line, the correct answer is option A: the equation of the line in point-slope form is y + 7= 3/8(x- 15.2)

A linear equation o line can be expressed in the form y = mx + b

where

The point-slope form of an equation of a line is written as y-y₁=m(x-x₁)

where:

In this case, you know:

The point-slope form of the line is written as:

y- (-7)= 3/8(x- 15.2)

y + 7= 3/8(x- 15.2)

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Ellie spend of $37.8 for  2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad

Two or more expressions with an Equal sign is called as Equation.

The amount is not given for each hot dog, hamburger and potatos.

But Ellie brought 2 packs of hot dogs ,

3 lbs of hamburger, and

2 lbs. of potato salad

Let us consider each hot dog is $6

Hamburger is $5.6 and potatoes is $4.5

Total amount is 2(6)+3(5.6)+2(4.5)

12+16.8+9

$37.8

Hence, Ellie spend of $37.8 for  2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad

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Answer:

10 hrs 35 min

Step-by-step explanation:

ohh yeahh which show tell me in comment lol

btw it would take u total

621 minutes to complete the show

which meaning 10 hrs and 35 min

and if you touch the grass then it would take few hours more

The side of  the initial cube is 42 cm.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Rick melted a cube and made a cone with it.

The amount of melted liquid left after making the cone was 49 cm

6/7 of the melted liquid was used in making the cone

We need to find the side of the initial cube.

Cube =a³

Le us the whole liquid be 1.

6/7 of the melted liquid was used in making the cone

1/6/7=7/6 is the left out liquid after making cone.

7/6x=49

x=42 cm

Hence, the side of  the initial cube is 42 cm.

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The required graph of the function of h(x) is shown, where h(x) =  |x| + |x + 2|.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the graph, functions f and g are absolute functions,
f = |x|
g = |x + 2|

So,
h(x) = f + g

Now substitue the functions,

h(x) = |x| + |x + 2|

Thus, the required graph of the function of h(x) is shown.

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Answer:

8

Step-by-step explanation:

Since it's an equilateral triangle, as you can tell from the red lines, m∠2 = 60. You can substitute to get:

⇒ 60 = 6x + 12

Subtract 12 from both sides

⇒ 48 = 6x

Divide by 6

⇒ x = 8

Therefore, the answer is 8.

Answer: To find the expected amount of money the radio caller should win, you can multiply the prize amount by the probability of winning that prize, and add those products for each prize. The expected value is also known as the mean value.

$500 * 1/8 = $62.50

$750 * 1/8 = $93.75

$1,250 * 1/8 = $156.25

$2,500 * 1/8 = $312.50

$5,000 * 1/8 = $625.00

$10,000 * 1/8 = $1250.00

$25,000 * 1/8 = $3,125.00

Total expected value = $62.50 + $93.75 + $156.25 + $312.50 + $625.00 + $1250.00 + $3,125.00 = $5,050.00

So, the expected amount of money the radio caller should win if the caller gets to spin the wheel once is $5,050.

It's worth to mention that the probability for each prize is the same, but the prizes are not the same so each prize win will be different according to the prize amount.

The expected value doesn't assure that the prize will be won, but it's a good approximation of the prize the caller could win.

Step-by-step explanation:

Proportionately, the quantity of ore required to obtain 30 kilograms of silver is 2,000 kilograms.

Proportion refers to two or more ratios equated to each other.

We can use decimals, fractions, or percentages to show the proportional value of one quantity or variable to another.

The quantity of ore that can produce 30 kilograms of silver, based on the given proportion, can be obtained by equating the ratio to the required silver quantity.

The percentage of ore that is pure silver = 1¹/₂% = (0.015)

The quantity of silver needed = 30 kilograms

The quantity of ore that can produce 30 kilograms of silver = 2,000 kilograms (30/0.015)

1¹/₂% = 30 kg

100% = 2,000 kg (30/1¹/₂%)

Thus, given the ratio or proportion of pure silver to ore, the quantity of ore needed to obtain 30 kilograms of silver is 2,000 kilograms.

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Rising action and climax are best used to describe the narrative element of Plot.

The rising action of the novel encompasses all the developments of the characters and the dramatic events that build to the eventual climax. The most thrilling section of the story is the climax, which also marks a turning point in the plot or the objectives of the main character.

Rising action in literature refers to all the incidents that take place in a narrative leading up to the climax. The tale moves along thanks to the mounting action, which also heightens the tension and keeps us interested in what happens next. It comes after the first step of exposition in the plot.

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In order to win his master's tournament, William needs to make the most of his strengths and use the strategies that best suit his playing style.

Mathematics is the study of numbers, shapes, and patterns. It is a universal language that helps us to understand and describe the world around us. Math is used to solve problems and to make predictions. It is used to analyze data and to make decisions. Math is a powerful tool that allows us to communicate ideas and to make sense of the world. Math helps us to understand the physical laws that govern the universe and to make sense of our ever-changing world.

First and foremost, he needs to focus on improving his technical skills. He should practice using a variety of shots and playing on different surfaces. This will give him the confidence and control he needs to succeed.

William should also develop a strategy for each match. This should include analyzing his opponent’s playing style and strengths, understanding the court conditions, and setting a specific set of goals for each game. He should also practice mental conditioning to help him stay focused and be able to handle the pressure.

Finally, William should take care of his physical health. This includes getting enough sleep, eating healthy, and exercising regularly. He should also make sure he is properly hydrated and fueled during the tournament.

By taking the necessary steps and making the most of his strengths, William can put himself in a good position to win the tournament. With hard work and dedication, he can make his dream a reality.

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In order to win his master's tournament, William needs to make the most of his strengths and use the strategies that best suit his playing style.

Mathematics is the study of numbers, shapes, and patterns. It is a universal language that helps us to understand and describe the world around us. Math is used to solve problems and to make predictions. It is used to analyze data and to make decisions. Math is a powerful tool that allows us to communicate ideas and to make sense of the world. Math helps us to understand the physical laws that govern the universe and to make sense of our ever-changing world.

First and foremost, he needs to focus on improving his technical skills. He should practice using a variety of shots and playing on different surfaces. This will give him the confidence and control he needs to succeed.

William should also develop a strategy for each match. This should include analyzing his opponent’s playing style and strengths, understanding the court conditions, and setting a specific set of goals for each game. He should also practice mental conditioning to help him stay focused and be able to handle the pressure.

Finally, William should take care of his physical health. This includes getting enough sleep, eating healthy, and exercising regularly. He should also make sure he is properly hydrated and fueled during the tournament.

By taking the necessary steps and making the most of his strengths, William can put himself in a good position to win the tournament. With hard work and dedication, he can make his dream a reality.

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Answer:

x=29

Step-by-step explanation:

(2x-2)+(x+5)+90= 180 (sum of angles in a triangle)

2x-2+x+5=90

3x+3=90

3x=87

x=29

The values of the variables in the circles are

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

Circles and missing angles (see attachment for the figures)

Circle 1

To determine the unknown variable (a), we make use of the following theorem

The angle subtended by an arc at the circumference is twice the angle subtended at the circumference

Mathematically, this means that

a = 2 * 17 degrees

Evaluate the product

a = 34 degrees

Circle 2

To determine the unknown variable (a), we make use of the following theorem

The angle at the circumference in a semicircle is 90 degrees.

Mathematically, this means that

b = 90 degrees

Also, we have

a + 122 degrees = 180 degrees

Evaluate

a = 58 degrees

Using the theorem in (a), we have

b + a/2 + c = 180

This gives

90 + 58/2 + c = 180

Evaluate the like terms

c = 61 degrees

Hence, the angle c is 61 degrees

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Answer:

a^4b^24

Step-by-step explanation:

We know, (xy)^n = x^ny^n. So,

(ab^6)^4 = a^4b^(6×4)

= a^4b^24

Answer:

50%

Step-by-step explanation:

16 litres = (16 x 1000) cm^3

             = 16000 cm^3

Hence,

Percentage = 8000/16000 x 100%

                    = 1/2 x 100%

                    = 50%

Answer:

Below

Step-by-step explanation:

(27500 - 8700) >= 150 x       where x is the number of 150 kg containers

Answers to ratios are first one is option B, second one is option A and third one is option C.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

1. Ratio of smoothie size to mangos used for Kim = 8 : 1

Ratio of smoothie size to mangos used for Bri = 24 : 3

                                                                             = 8 × 3 : 1 × 3

                                                                             = 8 : 1

Ratio of smoothie size to mangos used for Angela = 32 : 4

                                                                                    = 8 × 4 : 1 × 4

                                                                                    = 8 : 1

So the ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

So the answer is option B.

2. Ratio of width to length of larger canvas = 4 : 6 = 2 : 3

Ratio of width to length of smaller canvas = 2 : 3

So the painting's width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3.

So the answer is option A.

3. Ratio of students who prefer free time at the beginning of the class to students who prefer free time at the end of the class is 12/19

Total students = 12 + 19 = 31

Out of 31 students, 12 students prefer free time at the beginning of the class and 19 students prefer free time at the end of the class.

So the answer is option C.

Hence the answers on ratios are done.

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