what is the solution set for |x/2|=8

What Is The Solution Set For |x/2|=8

Answers

Answer 1

Answer:

The correct answer option is x = -16 and x = 16.

Step-by-step explanation:

We are given the following equation and we are to find the solution for this equation:

[tex] | \frac { x } { 2 } | = 8 [/tex]

For the given equation, involving the modulus, we will have a positive as well as a negative value for it in order to find its solution set.

[tex] \frac { x } { 2 } = - 8 [/tex] and [tex] \frac { x } { 2 } = 8 [/tex]

[tex] x = 8 \times 2 [/tex] and [tex] x = - 8 \times 2 [/tex]

x = -16 and x = 16

Answer 2

Answer:

The correct answer is last option

x = -16 or x = 16

Step-by-step explanation:

it is given that,

|x/2| = 8

To find the solution set

From this we can understand that , the value of x/2 = - 8 or x/2 = 8

If x/2 = -8 then  x = -8 * 2 = = -16

If x/2 = 8 then x = 8 * 2 = 16

Therefore the solutions are

x = -16 or x = 16


Related Questions

Answer this for 20 pts and brainliest!!!!! (Please hurry up! "I am in a hurry!)

Answers

When there was no snow fall, the line would be flat ( horizontal).

There was no snow Between 3:30 pm and 2:00 pm.

Answer:

12:30 pm to 1:00 pm.

Step-by-step explanation:

Hope this helps you.

The car owned by a person is part of his or her ____.

a.
investment assets
b.
liquid assets
c.
long term assets
d.
use assets




Please select the best answer from the choices provided

Answers

Answer:

The correct answer would be A

Step-by-step explanation:

The answer is definitely d

which quadratic equation is equivalent to (x^2-1)^2 -11(x^2-1)+24=0
A)u^2-11u+24=0 where u=(x^2-1)
B) (u^2)^2 -11(u^2) +24 where u = (x^2-1)
C)u^2+1-11u+24 =0 where u =(x^2-1)
D)(u^2-1)^2 -11(u^2-1) +24 where u =(x^2-1)​

Answers

Answer:

[tex]\large\boxed{A)\ u^2-11u+24=0}[/tex]

Step-by-step explanation:

[tex](x^2-1)^2 -11(x^2-1)+24=0\\\\\text{Substitute}\ (x^2-1)=u\\\\\underbrace{(x^2-1)}_{u}\ ^2 -11\underbrace{(x^2-1)}_{u}+24=0\to u^2-11u+24=0[/tex]

Answer:  The correct option is

(A) [tex]u^2-11u+24=0,~~\textup{where }u=(x^2-1).[/tex]

Step-by-step explanation:  We are given to select the correct quadratic equation that is equivalent to the following equation :

[tex](x^2-1)^2-11(x^2-1)+24=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

Let us consider that

[tex]u=x^2-1.[/tex]

Substituting the value of u in equation (i), we get

[tex](x^2-1)^2-11(x^2-1)+24=0\\\\\Rightarrow u^2-11u+24=0.[/tex]

Thus, the required equivalent quadratic equation is

[tex]u^2-11u+24=0,~~\textup{where }u=(x^2-1).[/tex]

Option (A) is CORRECT.

URGENT!!! WILL AWARD ALL POINTS Which expression is equivalent to sin(2β)sinβ for all values of β for which sin(2β)sinβ is defined?

Select the correct answer below:


2sin2β−tan2β

cot2β−2cos2β

1−tan2β

csc2β−2

2cosβ

Answers

Answer:

sin2b sin b

2 sin b cos b sin b

2 cos b sin^2 b

1−cos2b cos b

1- (2cos^2 b−1) cosb

2 cos beta

Answer:2sin =bahsyg=a=78sinb-7823sin=   1-tan2b

please help me answer this question.

Answers

Answer:

π/64

Step-by-step explanation:

assuming that c= circumference, and the circumference being 2πr(radius), then r=1/8 because 2π/8=π/4. to find the area, we use the formula πr^2, or π*1/8^2, or π/64

Determine how many points the parabola has in common with the x-axis and whether it's vertex lies above, on, or below the x-axis.

Answers

Points "in common with the x-axis" are also known as the roots of the quadratic equation [tex]x^2-12x+12=0[/tex]. You can apply the quadratic root formula to determine the roots, and also to determine how many such roots there are. With a quadratic (whose graph is a parabola), there can be maximum of 2 roots. But under certain circumstances, there may be only one or no such root.

The root formula for a generic quadratic [tex]ax^2+bx+c[/tex] is as follows:

[tex]x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The expression [tex]b^2-4ac[/tex] under the square root is called the determinant. It is called so because it determines the number of real roots. If the determinant value is > 0, there will be 2 roots (and so the parabola will cross the x-axis in 2 points), if its value is =0, there will be only a single root (the the parabola will touch the x-axis in exactly one point), and, finally, if its value is < 0, the quadratic has no real root (andthe parabola will not have any x-intercepts).

So, let's take a look:

[tex]b^2-4ac= (-12)^2-4\cdot 1\cdot12=96[/tex]

This means the parabola will intercept the x-axis at 2 points, two real roots.

Since the coefficient of the quadratic term is positive (a=1), the parabola is oriented "open-up." But since we already know the parabola intercepts in two points, the fact that it is open-up implies now that the vertex must lie below the x-axis (otherwise it could not intercept it).

The number of common points between a parabola and the x-axis is determined by the discriminant of its equation, while the position of its vertex relative to the x-axis is determined by the value of y at the vertex. A positive discriminant yields two points of intersection, zero yields one, and negative yields none. The vertex's position can be above, on, or below the x-axis depending on whether k in its vertex form is positive, zero, or negative.

To determine how many points a parabola has in common with the x-axis, we look for the solutions to the parabolic equation when y is set to zero. The number of intersections corresponds to the number of real solutions to this equation. If the parabola's equation is given in the standard form y = ax2 + bx + c, we can use the discriminant (b2 - 4ac) to find out how many times the parabola touches the x-axis. If the discriminant is positive, the parabola intersects the x-axis at two distinct points; if it is zero, the parabola touches the x-axis at exactly one point (the vertex); and if it is negative, the parabola does not intersect the x-axis at all.

The vertex of the parabola lies above, on, or below the x-axis depending on the value of y at the vertex. In the vertex form of a parabola, y = a(x - h)2 + k, where (h, k) is the vertex, if k is positive, the vertex lies above the x-axis; if k is zero, the vertex is on the x-axis; and if k is negative, the vertex lies below the x-axis. Typically, the coefficient a determines the direction of the parabola opening—upwards if a is positive, and downwards if a is negative, but this does not affect the vertical placement of the vertex relative to the x-axis.

Solve.

y = 2x + 3
x + y = 6

Please show work so I can understand how to solve this equation.

Answers

Answer:

x=1

Step-by-step explanation:

you would substitute the first equation in for the y in the second equation

x + 2x+3 =6

then you would combine the x's

3x +3 = 6

Then you would move the 3 to the other side with the six

3x =6-3       3x = 3

Then finally you would divide the three

3x/3 = 3/3   x=1

Use a calculator to find the standard deviation of this data set 8,14,12,9,16 round to the nearest tenth? NEED HELP ASAP THX

Answers

Answer:

3.3 apex

Step-by-step explanation:

Answer:

3.3

Step-by-step explanation:

I have another one!
(6m−7)⋅4
Thanks!!

Answers

4*6m=24m

-7*4=-28

24m -28

Answer:

24m-28

Step-by-step explanation:

the product of c and 8 is greater than 21​

Answers

Answer:

8c > 21

The solution is c > 21/8.

Step-by-step explanation:

Not all math problems have only one solution. Some math problems have multiple solutions such as set or group of solutions. These problems are called inequalities. Inequalities have solutions within a range using symbols such as >, <, ≤, and ≥. These are known as greater than, less than, less than or equal and greater than or equal. You can write any inequality expression from words into symbols using these signs.

The expression "the product of c and 8 is greater than 21​" is translated into

8c > 21

since product is multiplication.

It can be solved by dividing both sides by 8.

The solution is c > 21/8.

All dogs are animals.
Some animals are pets.
------------------
Therefore, some dogs are pets.

Vaild or Invalid?

Answers

This is valid.

.

.

.

.

.

Which equation represents the same proportional relationship as the graph

Answers

The slope of the given linear line is 3/5 thus the equation is y = 3/5 x so option (A) is correct.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

The slope of the line is 3/5

Since, the equation is y = mx + c where m is the slope and c is the y-intercept.

In the given line c = 0 and m = 3/5

y = 3/5 x

Hence "The slope of the given linear line is 3/5 thus the equation is y = 3/5 x".

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which do you think is greater , 4 x 3 2/5 or 3 x 4 2/5

Answers

Answer:

[tex]4(3\frac{2}{5})[/tex] is greater

Step-by-step explanation:

step 1

we have

[tex]4(3\frac{2}{5})[/tex]

convert to an improper fraction

[tex]3\frac{2}{5}=\frac{3*5+2}{5}=\frac{17}{5}[/tex]

so

[tex]4(3\frac{2}{5})=4(\frac{17}{5})=\frac{68}{5}[/tex]

step 2

we have

[tex]3(4\frac{2}{5})[/tex]

convert to an improper fraction

[tex]4\frac{2}{5}=\frac{4*5+2}{5}=\frac{22}{5}[/tex]

so

[tex]3(4\frac{2}{5})=3(\frac{22}{5})=\frac{66}{5}[/tex]

therefore

[tex]4(3\frac{2}{5})[/tex] is greater

Final answer:

After converting mixed numbers to improper fractions and multiplying, it is clear that 4 x [tex]3\frac{2}{5}[/tex] is greater than 3 x [tex]4\frac{2}{5}[/tex].

Explanation:

The question asks which is greater: 4 x [tex]3\frac{2}{5}[/tex] or 3 x [tex]4\frac{2}{5}[/tex]. Let's compare these two expressions

First, convert the mixed numbers to improper fractions:

[tex]3\frac{2}{5}[/tex] = (3x5 + 2)/5 = 17/5

[tex]4\frac{2}{5}[/tex] = (4x5 + 2)/5 = 22/5

Next, multiply each by the whole number:

4 x 17/5 = 68/5 = 13.6

3 x 22/5 = 66/5 = 13.2

Therefore, 4 x [tex]3\frac{2}{5}[/tex] is greater than 3 x [tex]4\frac{2}{5}[/tex].

PLEASE HELP

City A and city B each have 10 parks. The table shows the number of acres for each park in the two cities.

City A : 6 9 10 7 10 10 2 5 8 8
City B : 5 10 8 11 7 12 6 5 4 5

Select from the drop-down menus to correctly complete each statement.

The mean number of acres for each park for the two cities is:
A. About the same
B. Much greater for City A than for City B
C. Much greater for City B than for City A

The range for the number of acres for parks for the two cities is:
A. The same
B. Greater for City A than for City B
C. Much greater for City B than for City A

Answers

I think the answer is c

The mean number of acres for each park for the two cities is:

City A: 7.5

City B: 7.3

Hence, It is Much greater for City A than for City B.

And, The range for the number of acres for parks for the two cities is : 8

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The table shows the number of acres for each park in the two cities.

City A:  6   9   10   7   10   10   2   5   8   8

City B :  5   10   8   11    7    12   6   5   4   5

For City A:

Minimum acre of park = 2

Maximum acre of park = 10

Hence, Range = Maximum-Minimum

Range = 10-2

Range = 8

Now mean is calculated as:

Mean = 6 + 9 + 10 + 7 + 10 + 10 + 2 + 5 + 8 + 8 / 10

          = 75/10

          = 7.5

For City B:

Minimum acre of park = 4

Maximum acre of park = 12

Hence, Range = Maximum-Minimum

Range = 12-4

Range = 8

Now mean is calculated as:

Mean = 5 + 10 + 8 + 11 + 7 + 12+ 6 + 5+ 4 + 5 / 10

         = 73/10

         = 7.3

Hence, The mean number of acres for each park for the two cities is:

City A: 7.5

City B: 7.3

Hence, It is Much greater for City A than for City B.

And, The range for the number of acres for parks for the two cities is : 8

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Is this the right answer

Answers

Answer:

V = 60

Step-by-step explanation:

Yes, it is

Best regards

Answer:

yes that is that is that is the right answer hope u get all your homework right

Step-by-step explanation:

f(x)=-11x-2 and g(x) =7x-4 find (f°g)(x)​

Answers

Answer:

- 77x + 42

Step-by-step explanation:

note that (f ○ g)(x) = f(g(x)

Substitute x = g(x) into f(x)

f(g(x))

= f(7x - 4)

= - 11(7x - 4) - 2

= - 77x + 44 - 2

= - 77x + 42

Can you please help me asp because I am really confuse !. Plus you get 14 points!!

Answers

Answer:

1. B

2. 2 and 1/8 cups

Step-by-step explanation:

You just had to make common denominators and then your would subtract

Answer:

1) B

2) 2 1/8 cups

Step-by-step explanation:

1) make the denominator the same so it is 5 4/12 minus 2 9/12. You get 2 7/12 which is greater than 2 1/2 (2 6/12) and smaller th an 3

2) 8 7/8 minus 6 3/4 is equivalent to 8 7/8 minus 6 6/8 which is 2 1/8

All done mentally.

Li rolls a pair of number cubes twice. On both rolls, the sum is 7. Are the rolls dependent or independent events?

Answers

Answer:

these are independent

Step-by-step explanation:

Independent- the first roll does not affect the second

An egg is dropped from the window of a building. The height, in feet, of the egg t seconds after it is thrown is represented by d=-16t^2-7t+61. How many seconds after the egg is thrown will it be 10 feet from the ground?

Answers

Answer:

1.58

Step-by-step explanation:

Okay. We're solving for t because we need to know how many seconds. From the problem, we know the height (10), but we don't know when that height happens.

[tex]10 = -16tx^{2} -7t+61[/tex]

We can factor by multiplying -16 by 61 first to get -976 and see what multiplies to get -976 AND adds to get -7 at the same time. But we can also use the quadratic formula because, let's be honest, factoring can be a lot of extra work.

[tex]10 = -16t^{2} -7t+61\\\\0 = -16t^{2} -7t+51\\\\t=\frac{-b\pm \sqrt{b^{2}-4ac } }{2a} \\=\frac{-(-7)\pm \sqrt{(-7)^{2}-4(-16)(51) } }{2(-16)} \\=\frac{7\pm \sqrt{49+64(51) } }{-32} \\=\frac{7\pm \sqrt{3313} }{-32}[/tex]

Plug both the plus and the minus versions into your calculator and...

[tex]t\approx -2.02, 1.58[/tex]

There's no such thing as negative time, so -2.02 is automatically disqualified, leaving 1.58 as the answer.

Hope this helps, let me know if I missed anything!

The time takes for the egg to reach the height 10 feet from the ground on the basis of the given quadratic equation will be 1.58 seconds.

What is a quadratic equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.

As per the given quadratic equation,

d = - 16t² - 7t + 61

The time t in seconds at d = 10

-16t² - 7t + 61 = 10

16t² + 7t - 51 = 0

The roots of the above quadratic equation will be,

t = [-7 ± √(7² - 4 × 16 × -51 )] /(2 × 16)

t = (-7 ± 57.586)32

t = 1.58 or -2.02

Since, time is always positive thus, t = 1.58 seconds.

Hence "The time takes for the egg to reach the height 10 feet from the ground on the basis of the given quadratic equation will be 1.58 seconds".

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24 students is _% of 43

Answers

Answer:

(24 / 43) * 100 = 55.81395349 %

which equals roughly 55.81 %

Step-by-step explanation:

Simplify the expressions. Show your work.

(X-2) (3x-4)

Please don’t guess

Answers

Answer: 3x^2-10x+8

Step-by-step explanation:

x*3x+x(-4)+(-2)*3x+(-2)(-4) Foil Method

3x^2-4x-6x+8    Add and subtract like factors

Answer:

3x² - 10x + 8

Step-by-step explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

[tex](x-2)(3x-4)=(x)(3x)+(x)(-4)+(-2)(3x)+(-2)(-4)[/tex]

[tex]=3x^2-4x-6x+8[/tex]       combine like terms

[tex]=3x^2+(-4x-6x)+8=3x^2-10x+8[/tex]

What is the value of x in the equation 5(3x + 4) = 23?

Answers

[tex]\huge\text{$x=\boxed{\frac{1}{5}}$}[/tex]

Hey there! To solve this problem, we need to isolate [tex]x[/tex] on one side of the equation.

[tex]\begin{aligned}5(3x+4)&=23\\5\cdot3x+5\cdot4&=23&&\smash{\Big|}&&\text{Distribute the $5$.}\\15x+20&=23&&\smash{\Big|}&&\text{Multiply.}\\15x&=3&&\smash{\Big|}&&\text{Subtract $20$ from both sides.}\\x&=\frac{3}{15}&&\smash{\Big|}&&\text{Divide both sides by $15$.}\\x&=\boxed{\frac{1}{5}}&&\smash{\Big|}&&\text{Divide the numerator and denominator by $3$.}\end{aligned}[/tex]

Answer:

[tex] x = \frac { 1 } { 5 } [/tex]

Step-by-step explanation:

We are given the following equation and we are to find the value of x by making it the subject of the equation:

[tex] 5 ( 3 x + 4 ) = 23 [/tex]

We will start by opening the brackets and expanding the term by multiplying 5 with the terms inside the brackets to get:

[tex] 15 x + 20 = 23 [/tex]

[tex] 15 x = 23 - 20 [/tex]

[tex] 15 x = 3 [/tex]

[tex] x = \frac { 3 }  { 15 } [/tex]

[tex] x = \frac { 1 } { 5 } [/tex]

20 points! Write the expression in simplest form.
(-11/2 x + 3) - 2(-11/4 x - 5/2) =

Answers

Answer: 11x+ 8

Step-by-step explanation:

What is an open line of credit? a. A line of credit which has no current balance. b. A line of credit with a variable interest rate. c. A line of credit against which additional debt may be drawn. d. A line of credit which has no credit history requirements. Please select the best answer from the choices provided A B

Answers

Answer: C

Step-by-step explanation: An open line of credit is a line of credit against which additional debt may be drawn. An open credit line allows you to borrow money against the credit line at different times. You can borrow against it up to the credit limit.

Choose the inequality in that represents the following graph

Answers

Final answer:

The inequality is determined by examining the graph, identifying the lines, their slopes and determining if they are increasing or decreasing. Positive slopes are for increasing lines and negative slopes are for decreasing lines. Inequalities should represent the identified lines and their slopes.

Explanation:

From your question, it seems that there's a graph involved depicting certain lines and you're supposed to choose an inequality that represents the graph. As per the given information that line A is decreasing and line B is increasing, it sounds like these lines may represent an inequality on the coordinate plane. Consider the slope of line A and line B. If one is steeper than the other, the steeper slope has a larger absolute value. An increasing line indicates a positive slope, while a decreasing line indicates a negative slope. For example, if line A is y < -2x + 3 (negative slope, line decreasing) and line B is [tex]y > 5x + 1[/tex](positive slope, line increasing), the inequality would be [tex]y > 5x + 1 - y < -2x + 3.[/tex]For a precise and correct answer, you need to analyze the graph, identify lines, intercepts, slopes, and shading to form the correct inequality.

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Mr. price drives 123 miles each day on his bus route he gets reimbursed .56 per every mile he drives. How much will mr. price reimbursed for 2 days of his bus route

Answers

he will be reimbursed 137.26 dollars for two days

The model represents an equation. What value of x makes the equation true?

Answers

when all goes wrong...choose c my friend.

Plz help!!!!!!!!!!!!!!!

Answers

Answer:   b) (x - 2)(x + 1)(x + 3) = 0

Step-by-step explanation:

Look at the graph to find the x-intercepts (where the graph crosses the x-axis).

x = 2,       x = -1,      and   x = -3

Rewrite them as factors:

x - 2 = 0,  x + 1 = 0, and  x + 3 = 0

Combine the factors through multiplication:

(x - 2) (x + 1) (x + 3) = 0

how many different ways can you arrange four pictures on a wall if you want them in a horizontal straight line​

Answers

Answer:

You can do it four ways for horizontal straight line using a ruler.

Step-by-step explanation:

i did was make a 2x2 grid, and then arrange the four pictures inside.

Final answer:

There are 24 different ways to arrange four pictures on a wall in a horizontal straight line, calculated using the factorial of the number of pictures (4!).

Explanation:

The question of how many different ways you can arrange four pictures on a wall if you want them in a horizontal straight line is a problem of permutations, which is a concept in mathematics. To determine the number of different arrangements, we calculate the factorial of the number of pictures. The factorial, represented by an exclamation mark (!), means that you multiply the number by every number below it down to 1. For four pictures, the calculation is 4! (which is 4 x 3 x 2 x 1).

The result is:

4 x 3 x 2 x 1 = 24

Therefore, there are 24 different ways to arrange four pictures on a wall in a horizontal straight line.

What is the value of 6X plus 7Y -5 when X = 2 and Y =3?

Answers

the answer is 28

have a good day!

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