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

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:

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.

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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Answer:5

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

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.

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.

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[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]

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.

Answer:

Seems like 29 pounds (29.44 not rounded)

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

Answer is 5.2 seconds

Answer:

5.2

Step-by-step explanation:

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

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]

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.

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 :)

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.

Answer:

-3,-6

Step-by-step explanation:

Answer:115.38

Step-by-step explanation:

115.378

=115.38

The hundredth digit is seven

Answer:

-4 , -9/4 , .5 , √5 , 3.7

Step-by-step explanation:

-9/4= -2.25

sqr 5= 2.23

1/2= .5

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.

Answer:

5

Step-by-step explanation:

plug in the numbers

2 + 3 = 5

Answer: The answer is x = -19

Answer:

-19

Step-by-step explanation:

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

1x = -19

Answer:

a+62=65

Step-by-step explanation:

if a=3 then 62+3=65

Answer:

175

Step-by-step explanation:

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).

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 .

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

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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

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

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

Answer:

x=14

Step-by-step explanation:

Answer: x=14

Step-by-step explanation:

Answer: it’s 60 and 36

Step-by-step explanation: