jason says you can solve an inequality by replacing the inequality sign with an equal sign and putting it back in after solving the equation. do you agree?

Answers

Answer 1

Jason is incorrect, because inequality signs change when we multiply/divide by negative numbers, and we need to follow the signs to make sure we use the correct one.

Is Jason correct whit his claim?

Well, Jason says that you can solve an inequality by replacing the sign by an equal sign, solve the equation as you already have done a thousand times, and then put the inequality sign again.

Now, this is clearly incorrect, because inequalities have a really nice property. If you multiply or divide both sides of the inequality by a negative number, then the "direction" of the sign changes.

This means that if we have an inequality like:

-2x > 10

And we divide both sides by -2, we should get:

x < 10/-2

x < -5

Where the direction of the sign changed.

If you did what Jason said, the direction of that sign would not have changed, and thus, you would have got an incorrect solution for the inequality.

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Related Questions


Lines x and y intersect to form adjacent angles 2 and 3 . If m ∠2=3 a-27 and m∠3=2 b+14, find the values of a and b so that x is perpendicular to y.

Answers

Using the perpendicularity concept, the values of a and b so that x is perpendicular to y are: a = 39º, b = 38º.

What are perpendicular lines?

Two lines are perpendicular if when they intersect two angles of 90º are formed.

Hence, the condition for this problem is given by:

m<2 = 90º.m<3 = 90º.

From condition 2, the value of a is found as follows:

3a - 27 = 90º

3a = 117º

a = 117/3

a = 39º.

From condition 3, the value of b is found as follows:

2b + 14 = 90º

2b = 76º

b = 76/2

b = 38º.

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Which of the following variables can be classified as categorical?
A. Height
B. Weight
C. Gender
D. Age

Answers

Believe "A" would be correct.

Answer:

Step-by-step explanation:

I believe that it would be C. Gender

this is because someones Height, weight, and age doesn't really matter when you are signing up for something, or applying for a job. But back in the old days, you gender was crucial to what priveleges you were allowed.

This is just my opinion, feel free to call me out if I'm wrong!

Hope this helps!^^

Please answer the circled questions! (And also part a and b)

Answers

A. When Steven buys 2.32 pounds of trial mix and 4.64 pounds of dry fruit, the cost is $27.84.

B. When Mario got $0.40 in change from buying trail mix The pounds bought will be 5.6 pounds.

How to illustrate the information?

A. It should be noted that Steven buys 2.32 pounds of trial mix and 4.64 pounds of dry fruit. The cost will be:

= (2.32 × $3.50) + (4.64 × $4.25)

= $8.120 + $19.72

= $27.84

B. From the information, Mario got $0.40 in change from buying trail mix The pounds bought will be:

20 - 3.50x = 0.40

3.50x = 20 - 0.40

3.50x = 19.60

x = 19.60 / 3.5

x = 5.6 pounds.

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BRO PLEASE PLEASE PLEASE HELP ME THIS NEEDS TOBE SUBMITTED IN 2 MORE HOURS! :((

Answers

Answer:

4096/729

Step-by-step explanation:

To raise a fraction to a power raise numerator and denominator to that power.

(16/9) ^3

4096/729

Answer:

a) 4096/729

Step-by-step explanation:

Given problem,

→ ((-4/3)²)³

Let's solve the given problem,

→ ((-4/3)²)³

→ (-4²/3²)³

→ (16/9)³

→ 16³/9³

→ 4096/729

Hence, answer is 4096/729.

Simplify (2.8 × 10−9) − (6.9 × 10−8). Write the final answer in scientific notation.

Answers

Answer:

-42 In Scientific notation would be  4.2 × 101

Answer: I'm pretty sure the answer is  −6.62 × 10^−8 and if you're taking the quiz on flvs then it should be B.

gl on ur quiz!

Ray MO bisects angle LMN and measure of angle LMO =2x+1 and measure of angle OMN =x+9 find x​

Answers

Answer:92.

Step-by-step explanation:

5. The length of a rectangle is 4 feet more than the width. The perimeter * 1 point
of the rectangle is 24 feet. Find the length.

Answers

Answer: 8 feet

Step-by-step explanation:

Let,

Width= x

Length= x + 4

Perimeter= 24 ft

Now,

2{x+(x+4)}= 24

x = 4

Width= 4 feet

Length= 8 feet

2/9( 9/4x - 9)
Simplify

Answers

The simplified expression of the given Linear expression is [tex]\frac{x}{2} - 2[/tex]

As per the question statement, we are supposed to find out the simplified expression of the given Linear expression [tex]\frac{2}{9} (\frac{9x}{4} -9)[/tex]

Before solving this, we need to be clear about the algebraic expressions basics and integers operations and how we can deduce an algebraic expression into its simplest form.

[tex]\frac{2}{9} (\frac{9x}{4} -9)\\=\frac{2}{9}(\frac{9x-36}{4} )\\=\frac{9x-36}{2*9} \\=\frac{9x}{18} - \frac{36}{18} \\=\frac{x}{2} -2[/tex]

Hence [tex]\frac{x}{2} - 2[/tex] is the simplified expression of the given Linear expression.

Linear expression: A linear expression is any algebraic expression in which each term is either a constant or is a variable raised to the some power.

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9 less than 2 times a number is equal to 21.

9 - 2 - n = 21

9-2n = 21

2n - 9 = 21

9n - 2 = 21

Answers

Answer:67

Step-by-step explanation:

Answer:

2n - 9 = 21

Step-by-step explanation:

I believe you do subtract 9 from 2 times x-

Hope this helps xx I'm so sorry if this is wrong °.°·(((p(≧□≦)q)))·°.°

? Question
Which expression is equivalent to this expression?
(-5cd-4)(2cd²)²
O-20c³
O-10c²d-16
-20c²d-16
O-10c³
Submit

Answers

The equivalent expression for the expression (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Consider the expression,

(-5cd - 4)( 2cd²)²

Now let x = (-5cd - 4)( 2cd²)²,

Then,

x = (-5cd - 4)( 2cd²)²

x = ( - 5cd -4 ) × (2c)² × (d²)²

x = ( - 5cd - 4) × ( 4c² ) × d⁴

x = ( -5cd - 4 ) × 4c²d⁴

Using the distributive property,

x = ( - 5cd ) ×  ( 4c²d⁴ ) - 4 ×  4c²d⁴

x = - 20 × c³ × d⁵ - 16 ×  c²d⁴

x = - 20c³d⁵ - 16c²d⁴

Therefore, the equivalent expression of (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.

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What is the least value of x that satisfies
the equation below?
|2x - 11 = 23

Answers

The answer is 17 because 2 times 17 equals 34 and 11+23 is 34

when abby was young her father marked her height on the door frame every month. abby’s father noticed that between the ages of one and three, he could predict her height (in inches) by taking her age in months, adding 75 inches and multiplying the result by one-third. determine her predicted height on her second birthday.

Answers

The predicted height on Abby's second birthday is 33 inches

Calculating height

From the question, we are to determine Abby's predicted height on her second birthday

From the given information,

Abby's father could predict her height (in inches) by taking her age in months, adding 75 inches and multiplying the result by one-third

On her second birthday,

Abby is 2 × 12 months = 24 months old

Thus, her height on her second birthday is

(24 + 75) × 1/3

= 99 × 1/3

= 33 inches

Hence, the predicted height on Abby's second birthday is 33 inches

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if angle a and angle b are supplementary angles and m∠a=x, which expressions represents the number of drgress in angle B? x-180, 180-x, x-90, 90-x

Answers

m∠b = 180° - x

That is the expression that represents the number of degrees of angle b.

Which expressions represent the number of degrees of angle B?

Two angles A and B are supplementary only if their measures add up to 180 degrees.

Then we can write the simple equation:

m∠A + m∠B = 180°

In this case, we know that we have two angles a and b that are supplementary, and the measure of angle a is equal to x, where x is a variable, then using the above equation we can write:

m∠a + m∠b = 180°

Replacing the measure of angle a by the variable we get:

x + m∠b = 180°

Solving this for the measure of angle b we get:

m∠b = 180° - x

That is the expression that represents the number of degrees of angle b.

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Which equation can be rewritten as x + 4 = x2? Assume x>0.
√x+2= x
√x+2= x
√x+4 = x
√x²+16=x X

Answers

Answer:

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

can you help? [tex]5\sqrt{-27}[/tex]

Answers

Answer:

[tex]15\sqrt{3}i[/tex]

Step-by-step explanation:

Negative square roots are complex numbers.

An extract of a balance sheet is given. What is the total asset turnover ratio?

Balance Sheet (extract), December 31st, 2xxx $
Intangible Assets 5,000
Tangible Assets 10,000
Current Assets 5,000
Investments 5,000
Current Liabilities 10,000
Long Term liabilities 30,000
Net Sales 40,000
The debt-equity ratio of Creatz Ltd. is
1.6
(Express your answer to two significant figures).

Answers

Answer:

1.6

Step-by-step explanation:

add together the assets which would be 25,000 then divide 40,000 by that number 40,000/25,00=1.6

Also got it right on edmentum

jarlenski m, tarr ja, holland cl, et al. pregnant women's access to information about perinatal marijuana use: a qualitative study. womens health issues. 2016;26(4):452-9.

Answers

26 pregnant women who were getting prenatal care and had either acknowledged marijuana usage or had urine samples test positive for marijuana underwent semi-structured interviews. During interviews, it was determined where women got their information on the dangers of prenatal marijuana use and how valuable they thought it was. Two coders independently coded the interview data, iteratively improved the codes, and looked over the transcripts for themes.

The most frequently used illegal substance during pregnancy is marijuana. Little is known about how pregnant marijuana users learn about and comprehend perinatal marijuana use. To further understand their information-seeking behaviors and opinions of the value of material accessible about perinatal marijuana use, we performed a qualitative study among pregnant marijuana users.

What are some common women's health issues?

Heart Disease. One in every four deaths among women in the US is due to heart disease.

ovarian cancer.

Cervical and ovarian cancer.

Reproductive health.

Pregnancy problems

Autoimmune Conditions.

Both anxiety and depression.

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f(x) = 2x² - 6
Find f(7)

Answers

Replace x with 7:

f(7) = 2(7)^2 - 6 = 92.

I hope this helps!!

Fast help would be preferred.

Answers

Applying the subtraction property of equality, the number that belongs in the green box is of 9.

What is the subtraction property of equality?

When we subtract an amount from one side of the equality, the same amount has to be subtracted from the other side of the equality.

In this problem, we have that;

9 is subtracted from the left side of the equality, given by 2p + 9.Hence, 9 also has to be subtracted from the right side of the equality, given by 27.

Thus, the number that belongs in the green box is of 9.

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If you drew a line segment from the point when Kiley arrived at the airport to the point when she reached the waiting area near the gate, at what point would the line segment end?

I'll give you more points and brainliest

Answers

The required line segment will terminate at the point on the graph where the airports' coordinates (x, y) are placed.

The graph's origin, or (0, 0), will serve as its initial coordinates. Kiley's home is represented by this point. You need to figure out where the line segment would terminate if you were to draw a segment from here that depicts Kiley's automobile travel from her residence to the airport.

What is Coordinate :

Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane. Coordinate Plane Meaning. A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Let the airports' coordinates be in this instance (x, y).

Moreover, if the slope of the line segment linking Kiley's home and the airport is m,

The line's equation will now be,

y = mx

c = 0

Because the line is passes from origin (0, 0)

When one of the airport's coordinates is known, another one might be found.

Therefore, the necessary line segment will terminate at the point on the graph where the airports' (x, y) coordinates are placed.

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Find the product of (4 x 106) and (2 x 106). write the final answer in scientific notation. 8 x 106 8 x 1012 8 x 10012 8 x 1036

Answers

The product of (4 x 10⁶) ×  (2 x 10⁶) is 8 × 10⁶.

What is scientific notation?

Scientific notation is similar to shorthand for writing extremely large or extremely small numbers. Rather than writing a number in decimal form, it is reduced to a number multiplied by ten.

The "coefficient" is the first number with in mathematical equation. The coefficient has to be greater than one and less than ten. The coefficient for creating scientific notation for number 256, for example, is 2.56.The second number as in equation is a power of ten, written as a power of ten with an exponent, such as 10², which stands for 10 x 10.

Now, as per the given question;

The product of the given two number are-

= (4 x 10⁶) ×  (2 x 10⁶)

= 8 × 10⁶

Therefore, the scientific notation of the product of the give two numbers is 8 × 10⁶.

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The correct question is-

Find the product of (4 x 10⁶) and (2 x 10⁶). write the final answer in scientific notation. write the final answer in scientific notation.

A line that includes the points (c, -2) and (-1, 0) has a slope of -1/3 What is the value of c?​

Answers

Answer:

c = 5

Step-by-step explanation:

Slope-intercept form of a linear equation:

[tex]\large\boxed{y=mx+b}[/tex]

where:

m is the slope.b is the y-intercept.

Given:

Slope = -¹/₃Point = (-1, 0)

Substitute the given slope and point into the formula and solve for b:

[tex]\begin{aligned}y & = mx + b\\\implies 0 & = -\dfrac{1}{3}(-1)+b\\0 & = \dfrac{1}{3}+b\\-\dfrac{1}{3}&=b\\ \implies b&=-\dfrac{1}{3}\end{aligned}[/tex]

Substitute the given slope and found value of b into the formula to create an equation for the line:

[tex]\boxed{y=-\dfrac{1}{3}x-\dfrac{1}{3}}[/tex]

Substitute the point (c, -2) into the equation and solve for c:

[tex]\begin{aligned} y&=-\dfrac{1}{3}x-\dfrac{1}{3}\\\implies -2&=-\dfrac{1}{3}c-\dfrac{1}{3}\\-2+\dfrac{1}{3}&=-\dfrac{1}{3}c-\dfrac{1}{3}+\dfrac{1}{3}\\-\dfrac{5}{3}&=-\dfrac{1}{3}c\\-\dfrac{5}{3} \cdot 3&=-\dfrac{1}{3}c \cdot 3\\-5&=-c\\\implies c & = 5\end{aligned}[/tex]

Solution

Therefore, the value of c is 5.

Find the measure of the indicated angle.

Answers

Answer:

Angle FDG is 42°

Step-by-step explanation:

the whole angle GDE is an obtuse angle (greater than 90° but less than 180°), but a line is drawn at the middle to split it into 2.Each will be an acute angle.This means our answer must be acute.Mathematically ,

x+86=128

X=128-86

X=42°

to be sure,when an obtuse angle is split into two angles,it becomes 2 acute angles.

16 houses on 2 blocks = houses per block

Answers

Answer:8/block

Step-by-step explanation:16/2=18 hope this helps

Answer:

8

Step-by-step explanation:

16 houses divided by 2 blocks

16/2=8

8x2=16

what is the answer for2 /4 times 2/3??

Answers

1/3 or zero point three ether way is correct

6x-11=180-155

Solve for x

(I need steps too, I’m confused)

Answers

Answer:

[tex] \sf \large \: x=6[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

6x−11=180−155

Step 1: Simplify both sides of the equation.

6x−11=180−155

6x+−11=180+−155

6x−11=(180+−155)(Combine Like Terms)

6x−11=25

6x−11=25

Step 2: Add 11 to both sides.

6x−11+11=25+11

6x=36

Step 3: Divide both sides by 6.

6x/6 = 36/6

x=6

a certain composer wrote 10 symphonies, 4 piano concertos (music for piano and orchestra), and 35 piano sonatas (music for solo piano). a. how many ways are there to play first a symphony and and then a piano concerto? b. the manager of a radio station decides that on each successive evening (7 days a week), a symphony will be played followed by a piano concerto followed by a piano sonata. for how many nights could this be carried out before exactly the same program would have to be repeated? about how many years would this be? (round to the nearest year).

Answers

There are 40 different ways to perform a symphony and then a piano concerto.

Who is a composer?A composer is someone who creates music. The term is most commonly used to refer to composers of Western classical music or composers by profession. Many composers are or were accomplished, musicians.

To find how many ways are there to play first a symphony and then a piano concerto:

Formula: n(choices to play a symphony) x n(choices to play a concerto)⇒ 10(4) = 40

Therefore, 40 ways are there to play first a symphony and then a piano concerto

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CAN YOU HELP PLEASE
Which of the following is not a function? (There may be more than one answer). Explain Clearly.

Answers

Using the condition for a relation to be a function, we have that items b and c are not functions.

When does a relation represents a function?

A relation represents a function when each value of the input is mapped to only one value of the output.

In this problem, we have that:

Item b is not a function, as the input 6 is associated with two outputs.Item c is not a function, because the graph has vertically aligned points, meaning that values of x are associated with multiple, in this case 2, values of y.

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6x - 3y = -6
what is the step by step and the answer.

Answers

Answer: y=2+2x

Step-by-step explanation:

Subtract 6x from both the sides.

Divide both the sides by -3.

Thus, the value of the equation for y is .

4. Find 3 x 6.
3 × 6 = (2x 6) + (1 x 6)
3x6 = _ + _
3x6 =18

Answers

Answer: Basically, the answer for the missing numbers are 6 and 12

Step-by-step explanation:

(i) Seems simple, I'll help

1. If 3 * 6 = (2 * 6) + (1 * 6), then simplified, it is 18 = 12 + 6

2. When 18 = 12 + 6, it becomes 18 = 18





missing numbers are 6 and 12
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