- Graph the solution of the absolute
value inequality on the number
line.
2|x + 3|+1>3

Answer: 9 755/9

Step-by-step explanation:

given- a statement

to find-evaluate

soulition-

4 2/9 x 2 4/9

38/9 x 22/9

836/81

9 755/9

Check the picture below.

Answer:120

Step-by-step explanation:

When it is flat it is 180 degree so

180=60+x

Minus 60 on both side

120=x

Answer:

-4 -1 1 3.9 3.99

Step-by-step explanation:

The number can be anything that is less than the number 4.

Hope this helps! :)

The values which satisfy the inequality y < 4 are - 4, - 1, 1, 3, 3.9. 3.99, 3.999.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

An inequality y < 4 is given.

This states that the variable y is strictly less than 4 it could be 3.999999.. but not 4.

Then the value that makes the inequality true are,

- 4, - 1, 1, 3, 3.9. 3.99, 3.999,

If the inequality was y ≤ 4 then 4 could have included 4 only but not 4.001.

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None of the expressions is equivalent to the given polynomial.

What is a polynomial?

A polynomial is a mathematical statement that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminates (also known as variables) and coefficients. Numerous branches of mathematics and science use polynomials. For instance, they are used to define polynomial functions, which show up in contexts ranging from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximation other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems. In higher mathematics, polynomials are used to build algebraic varieties and polynomial rings, two fundamental ideas in algebra and algebraic geometry.

None of the given expressions is equivalent to the given polynomial.

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Step-by-step explanation:

it is very similar to do the manual division of numbers.

5x² - 18x - 15 ÷ x - 4 =

so, we are starting on the left, dividing 5x² by x.

5x²/x = 5x

5x² - 18x - 15 ÷ x - 4 = 5x

then we multiply (x - 4) by 5x and subtract the result from the left part. and then we pull down the next term

5x² - 18x - 15 ÷ x - 4 = 5x

- 5x² -20x

---------------

0 2x - 15

and again, we take the left term and divide by x :

2x/x = 2

5x² - 18x - 15 ÷ x - 4 = 5x + 2

and again we multiply (x - 4) by 2 and subtract the result. and, if there still is one, we pull down the next term.

5x² - 18x - 15 ÷ x - 4 = 5x + 2

- 5x² -20x

---------------

0 2x - 15

- 2x - 8

--------------------

0 -7

there is no more term to pull down, so we are finished.

there is a remainder in the last line unequal to 0.

this becomes therefore -7/(x - 4).

so, the total result is

(5x² - 18x - 15) ÷ (x - 4) = 5x + 2 - 7/(x - 4)

2.

the same thing. we are now dividing the left terms by 3x, and then multiply that result every time with (3x - 2), subtract this abd pull the next term down until there is no more term to be pulled.

6x³ - 16x² + 17x - 6 ÷ 3x - 2 = 2x² - 4x + 3

- 6x³ - 4x²

---------------

0 -12x² + 17x

- -12x² + 8x

-----------------------

0 9x - 6

- 9x - 6

----------------------------

0 0

there is no remainder in the last line, so the result is

(6x³ - 16x² + 17x - 6) ÷ (3x - 2) = 2x² - 4x + 3

hope it's true.

yes

x-7-9=2-8x

-16-2 = -8x-x

x= 18/9

x= 2

The probability that the first card is a king is 0.08.

Which is probability?

Probability is a synonym for potential. It is a field of mathematics that examines how random events happen. From zero to one, the value is stated. To forecast the likelihood of events, probability has been introduced in mathematics. The likelihood that something will occur is essentially what is meant by probability. This is the fundamental theory of probability, which is also used to calculate the probability distribution, and it is from it that you will discover the likelihood of various outcomes in a random experiment.

A deck of cards contains 52 cards.

Sample space = 52

there are 4 kings in a deck of cards.

Therefore the probability that the first card is a king = 4/52

=0.0769 approximately = 0.08

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Answer: 7x10 to the 4th

Step-by-step explanation:

The slope of equation is -80 and the equation of a line is y=-80x+800.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, a large water tank holds 800 gallons of water.

From the table, we have (0, 800) and (1, 720)

Here, slope m=(720-800)/(1-0)

m= -80

Substitute m=-80 and (x, y)=(0, 800) in y=mx+c, we get

800=-80(0)+c

c=800

Substitute m=-80 and c=800 in y=mx+c, we get

y=-80x+800

Therefore, the slope of equation is -80 and the equation of a line is y=-80x+800.

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Answer:

21-- 9660 / 460 = 21

Answer:

9660/460 = 21

Step-by-step explanation:

Answer:

7k-7

Step-by-step explanation:

[tex]-k-(-8k+7) \\ \\ =-k+8k-7 \\ \\ =7k-7[/tex]

Answer: .

Step-by-step explanation:

Answer:

your answer is correct

Step-by-step explanation:

since the quadrilaterals are similar then corresponding angles are congruent.

∠ NKL ≡ ∠ ZWX ≠ ∠ YZW ← not true

∠ LMN ≡ ∠ XYZ ≠ ∠ ZWX ← not true

--------------------------------------------------

the ratios of corresponding sides are in proportion , that is

[tex]\frac{KL}{MN}[/tex] = [tex]\frac{WX}{YZ}[/tex] ← true

[tex]\frac{kl}{yz}[/tex] = [tex]\frac{LM}{XY}[/tex] ≠ [tex]\frac{LM}{ZW}[/tex] ← not true

Answer:

Your answer is correct!

Step-by-step explanation:

I'm just answering so you can give the other person brainliest <3

Answer:

18.34

Step-by-step explanation:

18.2

0.32 so

18.2+0.32=18.34

Answer:

2

Step-by-step explanation:

To find the slope, m, you use the equation:

[tex]m \: = \frac{y2 - y1}{x2 - x1} [/tex]

From our question, (x1 = 7, y1 = 5) ; ( x2 = 2, y2 = -5)

Substitute the values into the equation:

[tex]m \: = \frac{ - 5 - 5}{2 - 7} \\ = 2[/tex]

The slope, m is therefore 2

Answer:

4-square root 2/2

Step-by-step explanation:

The area of the given triangle in the diagram is 11.83[tex]cm^{2}[/tex]

Given triangle ABC. Let AB=x, BC=y, CA=z

We use Heron's formula when asked to find the area of a triangle and the measures of the sides are given only. According to Heron's formula,

Area of a triangle[tex]=\sqrt{s(s-x)(s-y)(s-z)}[/tex]   where s is the semi-perimeter of the triangle given by [tex]s=\frac{x+y+z}{2}[/tex] and x,y,z are the measures of the three sides of the triangle

According to the diagram of the triangle AB=x=8 cm, BC=y=3 cm,

CA= z= 9 cm

∴Semi-perimeter  [tex]s=\frac{8+3+9}{2}=10 cm[/tex]

∴Area of the triangle[tex]=\sqrt{10(10-8)(10-3)(10-9)}=\sqrt{10*2*7*1}=2\sqrt{35}=11.83 cm^{2}[/tex]

Therefore the area of the triangle ABC is 11.83[tex]cm^{2}[/tex]

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Answer:

Step-by-step explanation:

That is (16/50) * 100

= 16 * 100/50

= 16 *2

= 32%.

Answer: 32%

Step-by-step explanation:

put it into a fraction, 16/50 then multiply by 2 to get 32/100 now you can turn that into a percent to get 32%

Answer:

89

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

is having -$50 bigger than having $50??

The relationship between x and y is given by Y=14*X;

Relationship between the number of tokens Erin uses, x, and the number of pitches thrown by the pitching machine, y. x (tokens) y (pitches) 1 14 2 28 3 42 7 98

by, observing the given data we say that;

x is proportional to y so, the general equation is given by

x ∝ y so, by removing the proportionality sign we get y=k*x;

now using given x and y we put in this equation to get the value of k; then by substituting the value of k in this equation we get our required equation.

so, putting x=1 and y=14 we get k=14;

and, putting x=2 and y=28 we get k=14;

and putting x=3 and y =42 we get k=14;

similarly, the last data satisfy the equation.

By putting k =14 in the equation we get, Y=14*X

thus, Y=14*X is our required answer.

also, we solve this problem by using the equation of line concept;

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Answer:

y-0 = [tex]\frac{4}{5}[/tex](x +2)

or

y - 4 = [tex]\frac{4}{5}[/tex](x -3)

These both mean the same thing.

Step-by-step explanation:

First, we have to find the slope.  The slope is the change in y over the change in x.

Our y's are 4 and 0 and your x's are 3 and -2

[tex]\frac{4-0}{3- - 2}[/tex]  = [tex]\frac{4-0}{3+2}[/tex] = [tex]\frac{4}{5}[/tex]

Now that we have the slope, we can use either point to write the eqation.

If we use point (-2,0)

The equation is

y - [tex]y_{1}[/tex] == m(x -[tex]x_{1}[/tex]

y - 0 = [tex]\frac{4}{5}[/tex] (x  - -2)

y - 0 = [tex]\frac{4}{5}[/tex](x +2)

If we use the point (3,4)

y-4 = [tex]\frac{4}{5}[/tex](x -3)

The distance between these two numbers on a number line is equal to -10.6.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

In Mathematics, a number line can be used to determine the difference between two numbers such as -2.2 and 8.4. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.

Now, we can determine the distance by taking the difference between both values as follows:

Distance = -2.2 - 8.4

Distance = -10.6.

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Thus, we have

Therefore Jenny's sister spent 9 days

the right choice is B

As per given data of recording of increasing and decreasing of  temperature during different day times , the temperature at 6pm is 7.1°F.

As given in the question,

The decimal value of the temperature at 6 pm was 7.1°F

Nora's temperature recording chart in winter can be tabulated as follows:

Time               Change in Temperature (°F)       Temperature Reading (°F)

9 am                                    -----                                           -12.4

12 noon                                +7.6                                         -4.8

3 pm                                    +13.1                                         +8.3

6 pm                                     -1.2                                          +7.1

Calculation by way of addition / subtraction of decimal is as follows:

-12.4°F +7.6°F = -4.8°F           (increase in temperature from 3 pm to 6 pm)

-4.8°F + 13.1°F = 8.3°F           (increase in temperature from 3 pm to 6 pm)

8.3°F - 1.2°F = 7.1°F               (drop in temperature from 3 pm to 6 pm)

Overall change in temperature from 9 am to 6 pm is 19.5°F (increment)

Therefore, as per given data of recording of increasing and decreasing of  temperature during different day times , the temperature at 6pm is 7.1°F.

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MATHEMATICALLY THIS CAN BE WRITTEN AS

Let that number =x

[tex] \frac{1}{2} (x) \times 7 - 3 \\ = \frac{x}{2} (7) - 3 = \\ = \frac{7x}{2} - 3[/tex]