Solve |7x+42| =14x. Identify the solution and an extraneous solution.

Answers

Answer 1

Answer:

x = 140.3333333........

Step-by-step explanation:

17x+421 = 14x

move the numbers with x's to the left and 421 to the right so it makes

17x then 14x is positive but moved to the opposite side it becomes negative.

Then 421 is positive on the left so moved to the right makes it negative.

Which is 17x-14x=(-421)

then you do 17x mines 14x which is 3x

3x = (-421)

Now your goal is to isolate your variable x. So divide both sides by 3 because x is multiplied by three you need to do the opposite.

x = 140.3333333..........

Answer 2

Answer:

Solution: x = 6;

Extraneous Solution: x = - 2

Step-by-step explanation:


Related Questions

9 t-shirts cost £49.05. How much do 13 t-shirts cost

Answers

70.85 is the answer for 13 shirts



Choose all the ways that we can read the following equation. (There are at least 3 correct answers)
-(-7) = 7

Answers

Answer:

It is this because

Step-by-step explanation:

This is because if you have -(-7) that would meean that you are looking for the absolute value of that number, which would be seven.  You could also look at it like that it is looking for the opposite of the number which would also be 7.

X+y=__ when x=2 and y=3 (substitute and give the answer)

Answers

Answer:

5

Step-by-step explanation:

plug in the numbers

2 + 3 = 5

what are the steps to simplifying radical expressions?​

Answers

Answer:

Step 1: Find the prime factorization of the number inside the radical.

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

Step-by-step explanation:

A car is traveling at a rate of 93 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round y
answers.

Answers

Answer: The car is going 1.55 miles per minute.

Step-by-step explanation: Since there are 60 minutes in an hour, and the car is going 93 mph, you would simply divide 93 by 60.

The car's rate in miles per minute  is 1.55 miles.

The car will travel 23.25 miles in 15 minutes.

What is Speed- Distance Formula?Speed = Distance/Time Distance = Speed X TimeTime = Distance / Speed

Given:

A car is traveling at a rate of 93 miles per hour.

In 60 minutes the car travel = 93 miles

So, In one minutes the car travels = 93 /60

                                                         = 1.55 miles

and, In 15 minutes the car travel = 1.55 x 15

                                                      = 23.25miles

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Construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns. Number of​ classes: 8 Data​ set: Finishing times​ (in seconds) of 20 male participants in a 5K race

Answers

Answer and Explanation:

Number of classes = 8

    Highest value =2300

  Lowest value = 1250

Class width= highest value – lowest value / number of classes

               = 2300 – 1250/8

                = 131.25 = 132

So, we can write class as 1250+132=1382

Class                                        frequency

1250-1382                                 2

1382-1514                                 3

1514-1646                                 6

1646-1778                                 2

1778-1910                                 3

1910-2042                                 2

2042-2174                                 1

2174-2306                                 1

A metal bar ten feet long weighs 128 pounds. What is the weight of a similar bar that is two feet four inches long?
Round to the nearest whole pound. (Use cross multiplication to solve the ratio).

Answers

Answer:

Seems like 29 pounds (29.44 not rounded)

Step-by-step explanation:

Order the numbers below from least to greatest √5,3.7,1/2,-4,-9/4

Answers

Answer:

-4 , -9/4 , .5 , √5 , 3.7

Step-by-step explanation:

-9/4= -2.25

sqr 5= 2.23

1/2= .5

What is 115.376 rounded to the nearest hundredths

Answers

Answer:115.38

Step-by-step explanation:

115.378

=115.38

The hundredth digit is seven

i think it’s 116 that the rounded to the nearest hundreds

In a florist shop, the ratio of roses to tulips is 5 : 3. The shop has 72 tulips on Friday morning. If the florist uses up half of each type of flower to fill an order, will the ratio of roses to tulips in the shop change?

Answers

Answer: it’s 60 and 36

Step-by-step explanation:

The verticies of triangle XYZare X(-3, -6), Y(21,-6) and Z(21, 4). What is the perimeter of the triangle?

Answers

Answer:

-3,-6

Step-by-step explanation:

Find the value of x for the following situation: the line containing (8,7) and (7,-6) is perpendicular to the line containing (2,4) and (x,3)

Answers

Answer:

x=14

Step-by-step explanation:

Answer: x=14

Step-by-step explanation:

Prove that if 5(m - 1) = -25, then m = -4.

Answers

Answer:

The equation is true

Step-by-step explanation:

First, input -4 instead of m in the equation:

5(-4 - 1) = -25

Then, distribute:

-20 - 5 = -25

Finally, simplify:

-25 = -25

This equation is true, and that's how you prove it.

Hope this helps!

Answer:

M= -4

Step-by-step explanation:

1. Distribute the 5 into the parentheses

5m-5=-25

2. Now add 5 on both sides

5m=-20

3. Now divide 5 by -20

m=-4

Lowest common multiple of 6 , 7 and 8

Answers

Answer:

The LCM is 168

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Answer:

Lowest common multiple is 168

5

The actual distance between the library and train station is 500 ft. Explain how you

could find the distance between them in centimeters on the map.

Answers

Answer:

15,420 cm

Step-by-step explanation:

Given the actual distance between the library and train station to be 500 ft, to find the distance between them in centimeters, we ill convert 500 ft to cm as shown;

Given the conversion:

1 ft = 30.48cm

500ft = x cm

Cross multiply

x cm * 1ft= 30.48 cm * 500ft

x cm = 30.48 cm * 500ft/1ft

x cm = 15,240 cm

Hence the distance between them in centimeters on the map is 15,420 cm

Which number has 7 in the tens place a 7 in the tenths place and a 1 in the thousands place

Answers

1070.1 the zeros can be changed to any other number

The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle?

Answers

Answer:

178.67

Step-by-step explanation:

One third written as a fraction is 1/3. You can also write it as a decimal by simply dividing 1 by 3 which is 0.33.

If you multiply 0.33 with 536 you will see that you will end up with the same answer as above.

You may also find it useful to know that if you multiply 0.33 with 100 you get 33.33. Which means that our answer of 178.67 is 33.33 percent of 536.

9x + 5 - 3x = 5x - 14

Answers

Answer: The answer is x = -19

Answer:

-19

Step-by-step explanation:

9x - 5x -3x = -14 -5

1x = -19

What is this 8=a+3+4

Answers

[tex]\bf Step-by-step~explanation:[/tex]

If we were to solve for a, we will need to isolate the variable.

[tex]\bf Step~1:[/tex]

Add the like terms on the right side of the equation together.

[tex]\bf 8=a+3+4\\8=a+7[/tex]

[tex]\bf Step~2:[/tex]

Subtract 7 from both sides to move 7 to the other side.

[tex]\bf 8(-7)=a+7(-7)\\1=a[/tex]

[tex]\bf Step~3:[/tex]

Rewrite the equation so that the variable is at the beginning. This is the format most teachers prefer.

[tex]\bf 1=a\\a=1[/tex]

[tex]\large\boxed{\bf Our~final~answer:~a=1}[/tex]

If the length of the radius of the circle is 6, what is the area of the square? 6 72 48 12 144​

Answers

Answer:

If the circle is inside the square the area of the square is 144

Step-by-step explanation:

The diameter of a circle is equal to the side length of a square.

So [tex]d = 2r[/tex]  the diameter of the circle is 2(6)=12

so one side length of the equals 12

Area of square = [tex]s^{2}[/tex]    [tex]12^{2} = 144[/tex]


Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function
h() = -1612 + 641 + 100, where i represents time, in seconds.

Answers

Answer:

5.2 seconds

Step-by-step explanation:

GivenThe function h(t) = -16t^2 +64t + 100To find: Time the ball to reach the ground (h = 0)? Solutionh(t) = -16t^2 +64t + 100

Need to find the value of t, when h(t) = 0

-16t^2 +64t + 100 = 04t^2 - 16t - 25 = 04t^2 - 2*2t*4 + 16 = 41(2t - 4)^2 = 412t - 4 = √412t - 4 = 6.42t = 10.4t = 5.2

Answer is 5.2 seconds

Answer:

5.2

Step-by-step explanation:

Which of these sums is greater than 1? please help 20 pts if u get it A. 12+23 B. 13+18 C. 14+25 D. 15+110

Answers

Answer:

They are all greater than 1.

Step-by-step explanation:

12+23=35

13+18=31

14+25=39

15+110=125

The sum of Option D is greater than 100 .

What is the meaning of Sum ?

Sum is the output of the mathematical operation , "Addition" .

It is given to find the sum of which numbers exceed 100

A. 12 + 23 = 35

B. 13+18 = 31

C. 14+25 = 39

D. 15+110 = 125

The sum of Option D is greater than 100 .

Therefore , Option D is the answer.

The correct question is

Which of these sums is greater than 100?

please help 20 pts if u get it A. 12+23 B. 13+18 C. 14+25 D. 15+110

To know more about Sum

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Help pls I'm running out of points & brain cells lol T^T

Answers

Answer:

- 4.7

Step-by-step explanation:

Step 1:

c - 1.5 + 6.8 = 0.6

Step 2:

c + 5.3 = 0.6

Step 3:

c = 0.6 - 5.3

Answer:

c = - 4.7

Hope This Helps :)

Answer:

-4.7

Step-by-step explanation:

I just went by trial and error till the answer ended up being 0.6. I know that there's a actual way to solve this mathematically, but that's how I did it in school, and so far, I haven't been yelled at for it. Hopefully this was semi-helpful.

is the product of a positive number and a negative number a positive ​

Answers

Answer:

Hey there!

False. The product of a positive number and a negative number is always NEGATIVE.

Let me know if this helps :)

Answer:

FALSE

Step-by-step explanation:

When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.

. A dog runs from one side of a park to the other 80.0 meters across and takes 16.0 seconds to cross the park. What is the speed of the dog? ​

Answers

Answer:5

Step-by-step explanation:I divided 80.0 by 16.0

Write a formula for the area of the regular polygon.

Answers

Answer:

The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon.

Step-by-step explanation:

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The formula when solved for h will be equal to A/4b.

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and non-negative exponentiation of variables involved.

A.)

For the given octagon, if its diagonals are made then it will be divided into 8 triangles, such that each triangle will be equal to the other.

Now, if the area of a single triangle is calculated then the area of the triangle will be,

Area of triangle = (1/2) × b × h

Further, since there are 8 triangles, therefore, the area of the octagon can be written as,

Area of octagon = Area of triangle × 8

                           = (1/2) × b × h × 8

                           = 4bh

Hence, the area of the octagon is 4bh.

B.)

The formula can be solved for h as shown below,

Area of octagon = 4bh

A = 4bh

Divide both the sides by 4b, therefore, we can write,

A/4b = 4bh/4h

h = A/4b

Hence, the formula when solved for h will be equal to A/4b.

Learn more about polynomials here:

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Point Q is on line segment PR.Given
PQ = 5 and QR = 8, determine the
length PR.
PR

Answers

Take a look below.

Answer is attached.

Answer:

13

Step-by-step explanation:

Step 1:

PQ + QR = PR

Step 2:

5 + 8 = PR

Answer:

PR = 13

Hope This Helps :)

If a = 3 and b = 5, what is the value of a+. 62?
9 + 25
84
6 + 10
82

Answers

Answer:

a+62=65

Step-by-step explanation:

if a=3 then 62+3=65

find the zero of the function h(x) = 4x+2

Answers

I think what you mean here is to have x as 0. So 4(0) +2=2. So your answer is 2

Answer:

[tex]x=-1/2=-0.5[/tex]

Step-by-step explanation:

So we have the function:

[tex]h(x)=4x+2[/tex]

To find the zero(s) of a function, set the function equal to 0 and solve for x. So:

[tex]0=4x+2[/tex]

Subtract 2 from both sides:

[tex]-2=4x[/tex]

Divide both sides by 4:

[tex]x=-1/2=-0.5[/tex]

So, the zero of the function is -0.5.

This means that the graph (a line) crosses the x-axis at (-0.5, 0).

plzzzzzxz help mee!!!!!!?????

Answers

Answer:

175

Step-by-step explanation:

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