Why should you not choose a point on the line to find the direction of shading in an inequality?

Answers

Answer 1

Answer:

Because we know for a fact that the line has a correct answer. Plus, if you choose a point on the line then it will not give you the visual side of which is correct and which is wrong.

Step-by-step explanation:

Answer 2

If you choose a point on the line then it will not give you the visual side of inequality. Therefore, choose the interval.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade. If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line. For a vertical line, larger solutions are to the right and smaller solutions are to the left.

Because we know for a fact that the line has a correct answer. Plus, if you choose a point on the line then it will not give you the visual side of which is correct and which is wrong.

If you choose a point on the line then it will not give you the visual side of inequality. Therefore, choose the interval.

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Related Questions

answer asap!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

This is a reflection over x-axis.

i want to purchase a necklace for 325$ . ive already saved 115.00 and can set aside 22.00$ a week . which inequality can be used to find the number of weeks it will take to save at least 325.00$?

Answers

Answer:

22w + 115 = 325           w = about 10 weeks

Step-by-step explanation:

The first part of this inequaltiy is 22w. Since he/she will set aside $22 a week, you would put a variable because the number of weeks you will need to set aside $22 is unknown therefore you put a variable that makes sense. I put w because you can say that w=weeks. The next part of the inequality is adding $115 because he/she has already saved $115 so we add that to 22w. Finally 22w+115 has to equal $325 because that is how much the necklace costs. Hope this helps!

Write a slope-intercept form equation for a line that passes through (0,4) and (2,-2).
Show the step by step process please.

Answers

Answer:

-3

Step-by-step explanation:

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

Question in picture solve

Answers

Answer:

x= 13.5

Step-by-step explanation:

f(x) = 2x + 9

f(x) = 36

Set the 2 equations equal to each other;

2x + 9 = 36

Subtract 9 from both sides;

2x = 27

Divide both sides by 2;

x = 13.5

Check:

f(x) = 2x + 9

f(13.5) = 2(13.5) + 9= 27 + 9 = 36

A grocery store sells 6 bottles of water for $4 and 18 bottles of water for $10. Which is the better deal and why?

Answers

Answer:

18 bottles of water for $10 because each bottle costs 56c compared to 6 bottles of water for $4 at 67c

Step-by-step explanation:

All values rounded to the hundredth

6 bottles of water for $4

4/6=0.67

Each bottle costs 67c

18 bottles of water for $10

10/18=0.56

Each bottle costs 56c

Answer this question please.​

Answers

Answer:

x = 11

Step-by-step explanation:

We know that vertical angles (opposite angles when two lines cross), are equal.

2x - 6 = 6x - 50

4x = 44

x = 11

The price of a smart watch is $109.99 and the sales tax is 6.5%. What is the total cost of the smart watch? Enter your answer in the box.

Answers

Answer:

$117.14

Step-by-step explanation:

A "sales tax" refers to a specific amount of money (according to its percentage) that you need to pay other than the price of the good stated.

So, if the price of the smart watch is $109.99 and the sales tax is 6.5%, you have to know much is 6.5% of $109.99. This can be computed by using the multiplication operation.

109.99 x 6.5% (0.065) = $7.15 (this is the sales tax)

In order to know the total cost of the smart watch, you have to add the sales tax to the price of the smart watch.

$109.99 + $7.15 = $117.14

The total cost of the smart watch is $117.14

Answer:

$117.14

Step-by-step explanation:

I toke the quiz and a k12 student.

A generator can run for 11 hours on 3 gallons of gasoline. How many hours can the generator run on 9 gallons of gasoline?

Answers

Answer:

11 / 3 hours

Step-by-step explanation:

9 is 3 times the amount of 3 so therefore 11*3 is 33 gallons

the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides of the triangle​

Answers

Answer:

[tex]16\frac{2}{3}[/tex]cm

Step-by-step explanation:

Given dimensions:

           [tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm  by [tex]5\frac{2}{3}[/tex] cm

The total length:

 it is the sum of all the sides;

         [tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]  

LCM of the denominators = 6 ;

   [tex]\frac{38 + 28 + 34}{6}[/tex]  = [tex]\frac{100}{6}[/tex]

                 = [tex]\frac{50}{3}[/tex]

                 = [tex]16\frac{2}{3}[/tex]cm

Can you determine the solution of the |4x−2|≥−6 without solving?

Answers

Answer:

|4x-2|">"-6

add 2 to both sides

4x">"-4

divide both sides by 4

x">"-1

the ">" means greater than or equal to, I just don't have that character on my keyboard

Step-by-step explanation:

so the answer is x is greater than or equal to -1

IN: (-∞,-1]

for number line: You would write the number line from -1-10  

then, you would put  a closed dot on negative one, with an arrow going to the right!

Hope this helped! <3

1. What is the domain of the relation
represented by the ordered pairs (-12, 2),
(-6,4), (0, 6), (3, 7), and (9, 9)?
A. {-12, -6,0,3, 9}
B. {2, 4, 6, 7, 9)
C. {3,9}
D. {-12, -6,0, 2, 3, 4, 6, 7,9}

Answers

Answer:

A

Step-by-step explanation:

Domain is the x values only

please help me so much quick :)

Answers

Answer:

22 < x < 74

Step-by-step explanation:

Given 2 sides of a triangle with third side x , then

difference of 2 sides < x < sum of 2 sides , that is

48 - 26 < x < 48 + 26 , so

22 < x < 74

how many solutions does 6x - 18 = 4(2x - 3) - (2x +6)

Answers

Answer:

x=0

Step-by-step explanation:

6x-18=4(2x-3)-(2x+6)

We move all terms to the left:

6x-18-(4(2x-3)-(2x+6))=0

We calculate terms in parentheses: -(4(2x-3)-(2x+6)), so:

4(2x-3)-(2x+6)

We multiply parentheses

8x-(2x+6)-12

We get rid of parentheses

8x-2x-6-12

We add all the numbers together, and all the variables

6x-18

Back to the equation:

-(6x-18)

We get rid of parentheses

6x-6x+18-18=0

We add all the numbers together, and all the variables

=0

x=0/1

x=0

   

   

If x=5 and the area of the rectangle is 30 what is the other length of the rectangle?

Answers

Answer:

The other length would be 6.

Step-by-step explanation:

Rectangle area is l times height. So x is either the length for height. So we have 5 times x = 30. To find the other length we have to take 30/5 which equals 6

A brand new car costs $18,000, this price depreciates at 25% every year, how much would the car be after 12 years? 20 years?

Answers

Answer:

C(12)=$570.18

C(20)=$57.08

Step-by-step explanation:

Exponential Decay Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The depreciation of goods is often modeled as an exponential function. The new car costs $18,000 and its price depreciates at r=25%= 0.25 every year.

The depreciation model is:

[tex]C(t)=18,000\cdot(1-0.25)^t[/tex]

Operating:

[tex]C(t)=18,000\cdot 0.75^t[/tex]

At t=12 years, the price will be:

[tex]C(12)=18,000\cdot 0.75^{12}[/tex]

C(12)=$570.18

At t=20 years, the price will be:

[tex]C(20)=18,000\cdot 0.75^{20}[/tex]

C(20)=$57.08

ANSWER PLEASE? I NEED HELP!

Answers

Answer:

5x+2=17

x=3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

17-2=15

15/5=3

please help, we have 0 brain cells left

Answers

Answer:

no solution

Step-by-step explanation:

(3.6 X 102)(1.9 x 10-4)
Multiply write the answer in scientific notation

Question 2
(4.7. x 10)(2.0 x 10

Answers

Answer:

1.)5508      2.)5600 x^2

Step-by-step explanation:

If f(x)=−3x2−2x+1, find 2[f(r)]

Please use your BIG BRAIN SKILLS this is the last question on my test please help..... :{

Answers

Answer:

[tex]-6x^2r-4xr+2r[/tex]

Step-by-step explanation:

[tex]f(x)=-3x^2-2x+1\\\\2[f(r)][/tex]

Plug in the value of f of x into the second expression:

[tex]2[(-3x^2-2x+1)(r)][/tex]

Use the distributive property to distribute the two:

[tex]2(-3x^2)+2(-2x)+2(1)[r]\\\\-6x^2-4x+2[r][/tex]

Distribute each value among r:

[tex]-6x^2r-4xr+2r[/tex]

:Done

someone help please will give brainliest

Answers

Answer: Ithink it’s 3, 5, 9
no completely sure but it could be 0, 3, 5

5x - 7 = 8x + 14
I will give 30 points
please do not just answer for points i actually really need help fast

Answers

Answer: -7

Step-by-step explanation:

5x - 7 = 8x + 14 ->    5x = 8x + 21  ->   -3x = 21  ->   x = -7

can somone tell me the interior angle of a polygon with 20 sides

Answers

Answer:

162

Step-by-step explanation:

Sum of all the angles of any polygon = (n - 2) * 180

                                                             = (20 - 2) *180

                                                            = 18 * 180

                                                            = 3240

Interior of a polygon with 20 sides = 3240 /20

                                                           = 162

Write an equation for the nth term of the sequence 12, 5, -2, -9,....

Answers

Answer:

n-7

Step-by-step explanation:

when n=12

.: n-7= 12-7=5

when n=5

.:n-7= 5-7= -2

when n=-2

.: -2-7= -9 and so on

The equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

What is a sequence?

The sequential ordering of two or more things. two or more objects in orderly succession and orderly chronology. an orderly collection of items or concepts that are connected. something that occurs after another event or series of events.

An enumerated collection of things in mathematics known as a sequence allows repetitions and emphasizes the importance of order. It has members, similar to a set. The sequence's length is expressed in terms of its number of elements.

The word "sequence" refers to a grouping of connected items or occasions, or the succession of their occurrences. A group of numbers in a certain order is called a sequence. There are positions first, second, third, and so on for each phrase in a series.

[tex]n=12\\n-7 = 12-7 =5\\n=5\\n-7 = 5 - 7 = -2\\n=-2\\ -2 -7 = -9[/tex]

Therefore, the equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

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A deer travels at the rate of 42 miles in 6 hours. How many miles does it travel in one hour?

Answers

Answer:

7

Step-by-step explanation:

42/6 = 7

Please help me i will really appreciate it!!!

Answers

Answer:

[tex]\displaystyle x=\sqrt{\frac{2U}{k}}[/tex]

The third option is the correct answer.

Step-by-step explanation:

Equation Solving

We have the following equation:

[tex]\displaystyle U=\frac{1}{2}kx^2[/tex]

And it's required to solve it for x.

To solve this equation we need to perform some operations to have the x isolated from any other variables, constants, or operations.

This will be done by conveniently operating on both sides as follows:

Eliminate the denominator by multiplying by 2:

[tex]\displaystyle 2U=kx^2[/tex]

Move k to the other side by dividing by k:

[tex]\displaystyle \frac{2U}{k}=x^2[/tex]

Swapping sides to have x at the left side:

[tex]\displaystyle x^2=\frac{2U}{k}[/tex]

Taking the square root:

[tex]\mathbf{\displaystyle x=\sqrt{\frac{2U}{k}}}[/tex]

The third option is the correct answer.


Lines p, q, r, and s are coplanar. If like p is perpendicular to line q, line q is perpendicular to line r, and line s is parallel to line p, then what conclusion can we make about lines s and r?
A. Lines s and r are parallel
B. Lines s and r are perpendicular
C. Lines s and r are neither parallel nor perpendicular
D. No conclusion can be made

Answers

Answer:

A

Step-by-step explanation:

To get the answer here, we simply start looking from what we had initially

From the initial point, we can see that line p and line r are perpendicular

The reason for this is because, line q serves as a point for the two and since q is perpendicular to p and r, then p and r are perpendicular

So since s is parallel to like p and line p

is perpendicular to r, then r and and s must be parallel too

f(4) if f(x) = 3x - 1

Answers

beeeeeeeeeeeeeeep hope it helps

Simply substitute the value of 3 given. In other words,

f(3) is the function of

f(x), however, in this case, x is 3

f(3)=3(3)−4

Distribute 3 through the parenthesis

f(3)=9−4

Simplify

f(3)=5

Write the equation of the line fully simplified slope intercept form

Answers

Answer:

y = - 5x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line

m = [tex]\frac{-5-0}{0+1}[/tex] = - 5

The line crosses the t- axis at (0, - 5) ⇒ c = - 5

y = - 5x - 5 ← equation of line

Y=-5x-5
Find the gradient (m) using 2 random coordinates and the equation m=y2-y1/x2-x1 which is -5 in this case.
Find the y-intercept (c) by seeing where the line intercepts the y-axis which is -5 in this case.
Sub these numbers into ‘slope-intercept form’ which is y=mx+c.

Write the equivalent fraction, the reduced fraction, and the decimal equivalent for 45%. Jenny solved this problem and her work is shown below. What mistake did she make?

Answers

Answer:

Equivalent fraction: 45/100

Reduced fraction: 9/20

Decimal equivalent: 0.45

Step-by-step explanation:

Equivalent fraction: percentage is just out of 100. 45% is 45 out of 100, aka 45/100.

Reduced fraction is just simplifying both sides by the GCF. In this case, 5.

Decimal equivalent of a percentage is just dividing the numerator by the denominator, or taking the numerator or the percentage and placing the decimal point forward two digits.

Answer:

45|1000

Step-by-step explanation:

urjrbrbruw9qi1i818

[Congress shall have the power] To make all Laws which shall be necessary and proper for carrying into Execution the foregoing Powers, and all other Powers vested by this Constitution in the Government of the United States, or in any Department or Officer thereof. Which phrase in this passage signifies implied powers? foregoing Powers Government of the United States necessary and proper Department or Officer

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer:

necessary and proper

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