Mathematics High School

Solve for x: 2|x − 3| + 1 = 7

x = 0, x = 6
x = −1, x = 6
x = 0, x = 9
No solutions

Answers

Answer 1
***SOLVE FOR X***


Answer:
x=6 or x=0

Related Questions

does Karen say there is a 30 percent or 60 percent chance that its already raining in Mean Girls

Answers

30% chance it's already raining

What is the common difference d of the sequence? −15, −4, 7, 18, 29, ...

Answers

I think that it is 11...

Answer:

The common difference is [tex]11[/tex]

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between consecutive terms is a constant called the common difference

so

In this problem we have

[tex]-15,-4,7,18,29,...[/tex]

Let

[tex]a1=-15\ a2=-4\ a3=7\ a4=18\ a5=29[/tex]

Find the difference between consecutive terms

[tex]a5-a4=29-18=11[/tex]

[tex]a4-a3=18-7=11[/tex]

[tex]a3-a2=7-(-4)=11[/tex]

[tex]a2-a1=-4-(-15)=11[/tex]

therefore

The sequence is an Arithmetic Sequence

The common difference is [tex]11[/tex]


The sum of the perimeters or two different squares is 32 centimeters , and the difference between there perimeters is 8 centimeters. if x represents the side length of the larger square and y represents the side length of the smaller square , Which of the following systems of equations could be used to find the dimensions of the squares?

A. x+y=32
x-y=8

B. 4x+4y=32
4x-4y=8

C. 2x+2y=32
2y-2x=8

D. 2x+2y=32
4x-2y=8

Answers

Final answer:

The correct system of equations to find the dimensions of the squares is option A: x + y = 32 and x - y = 8.

Explanation:

To find the dimensions of the squares, we can set up a system of equations. Let x represent the side length of the larger square and y represent the side length of the smaller square.

The sum of the perimeters is given as x + y = 32. The difference between the perimeters is given as x - y = 8.

So, the correct system of equations to find the dimensions of the squares is option A: x + y = 32 and x - y = 8.

Final answer:

The correct system of equations to find the dimensions of the squares is x + y = 32 and x - y = 8. Solving this system using the method of elimination gives us the dimensions of the squares: 20 cm for the larger square and 12 cm for the smaller square.

Explanation:

The correct system of equations to find the dimensions of the squares is:

x + y = 32

x - y = 8

To solve this system, we can use the method of elimination. Adding the two equations will eliminate the y terms, allowing us to solve for x.

Adding the equations:

x + y + x - y = 32 + 8

2x = 40

x = 20

Substituting the value of x back into one of the original equations, we can solve for y.

Using the equation x + y = 32:

20 + y = 32

y = 12

Therefore, the dimensions of the larger square are 20 cm, and the dimensions of the smaller square are 12 cm.


125 + .375=?


0.654 + 0.389 - 0.293=?

Answers

If it's 125 + 0.375 then the answer is 125.375

and for the second it's 0.75
125+0.375 equals 125.375
0.654+0.389-0.293 equals0.75

Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose.

2x + y + z = –7
x – 3y + 4z = –14
x – 2y – 3z = –11

Answers

the method I have used is Elimination, Why? it is easy and fast
1)    2x + y + z = –7
2)    x – 3y + 4z = –14
3)    x – 2y – 3z = –11

elimination of x
2) - 3)     -y + 7z = - 3
1) - 2.3)  5y +7z = 15
now we solve the simple system

-y + 7z = - 3      a)
 5y +7z = 15     b)

elimination of y
5. a) + b)    implies 42 z=12 and z= 2/7
 -y +7 .  2/7= -3 implies  y = 5
y=5, z =2/7, so  2x + 5 + 2/7 = –7 implies x= - 43/7
final solution
x= - 43/7, y=5 and z =2/7

proof 
 2.(- 43/7)  + 5  + 2/7 = -7, (true)

1/2 x = 20 solve for x

Answers

times both sides by 2/1

2/2x=40
1x=40
x=40
The answer is 40 because 1/2 divided by 20=40 
the way i got that was i times .5 to 20 and got my answer because .5 is 1/2 

Hopes this helps if you have more question just hmu and ask :)

What is 830% written as a decimal?


8300


83


0.0083


8.3

8.3 i think

Answers

it is 830. ok just put the decimal in the back

Intersecting chords form a pair of congruent, vertical angles.

A. True
B. False

Answers

I believe the answer to this item is the first choice, true. Intersecting chords form a pair of congruent vertical angles. Vertical angles are formed and located opposite of each other having the same value. Thus, the answer to this item is True.

Answer:

True!

Step-by-step explanation:

a(x+b)=c solve for x

Answers

A(x + b) = c
x+b = c / A
x = c/A - b

Hope this helps!

What is the surface area of a piece of pipe that is open at both ends, has a radius of 6 inches, and a height of 18 inches? (Use 3.14 for π.)

Answers

 it's 2x3.14 times 6 times 18

2π(6)(18)
aka lateral area

you can imagine it like this:
imagine you take a sheet of paper and roll it into a tube
the lateral aera=circumference times height because if yo open the paper, the area is legnth times width, and when you roll it up, width turns into circumference

so

LA=h(circumference0
LA=h2pir
LA=18*2*pi*6
LA=216pi
pi=3.14 for this question
LA=678.24

SA=678.24 in²

Write two (2) scenarios that describe two different real-world functions. Think of your own variables that are not included in the above list. As you did for the other functions, identify the independent and dependent variables and assign the letters x and y to represent each variable quantity. Then create a set of at least five ordered pairs in (x, y) form with values that make sense for your function.

Answers

1. Ryan had 4 people coming over but each second person brought 5 different people, let X represent the number of people brought along, what is X?

2. Lexy has 456$ she gave it to four friends. Let M represent how much she gave each friend if she was left with 50$ What does X equal?

62% of what is 89.3?

Answers

Final answer:

To find 62% of what number equals 89.3, divide 89.3 by the decimal form of 62%, which is 0.62, to get 144.03 (rounded to two decimal places).

Explanation:

The student's question '62% of what is 89.3?' is asking for the calculation of a base amount from a known percentage and a known result of that percentage. To find the answer, we divide the known result by the percentage in decimal form.

The equation we use is: Base = Percentage Result ÷ Decimal Percentage

Firstly, we convert 62% into decimal by dividing by 100, which equals 0.62. Then we divide the known result, 89.3, by 0.62:

Base = 89.3 ÷ 0.62 = 144.03225806451613

So, 62% of 144.03 (rounded to two decimal places) is 89.3.

Final answer:

The student's question involves finding the original whole given a part and its percentage. The calculation shows that 62% of 144.03 is 89.3.

Explanation:

The student is asking how to find the original whole when given a percentage and the corresponding part of that whole. To find the whole when you know a percentage of it and the actual amount that percentage represents, you can use the formula:

Whole = Part / (Percentage / 100). In this case, the part is 89.3 and the percentage is 62%. So, you calculate the whole by dividing 89.3 by 0.62 (which is 62% converted to a decimal by dividing by 100).

Here’s the step-by-step calculation:

Convert the percentage to a decimal: 62% = 0.62.Divide the part by the decimal: 89.3 / 0.62 = 144.03.

Therefore, 62% of 144.03 is equal to 89.3.

A prime number is always greater than 1 false or truth and why

Answers

its false because 1 is a prime number

hope this helps you

A prime number must be greater than 1 because by definition, a prime number has exactly two distinct positive divisors: 1 and the number itself. If a number is less than or equal to 1, it cannot be prime.

The statement that a prime number is always greater than 1 is indeed true. A prime number is defined as a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. If a number is less than or equal to 1, it cannot be prime because the prime numbers must be greater than 1 to have at least two distinct positive divisors (1 and the number itself).

For example, the first few prime numbers are 2, 3, 5, 7, 11, and 13. Each of these numbers is greater than 1 and cannot be divided evenly by any number other than 1 and itself. By contrast, the number 1 is not considered a prime because it has only one positive divisor, which is 1 itself. Since primes must have exactly two distinct divisors, 1 does not meet this criterion.

3(mx)4 + 5 What is the coefficient in the expression? A) x B) 3 C) 4 Eliminate D) 5

Answers

A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. so the answer would be B.

Answer:


Step-by-step explanation:

Answer choice is B) 3


The hourly operating cost of a certain plane, which seats up to 295 passengers, is estimated to be $3770. If an airline charges each passenger a fare of $100 per hour of flight, find the hourly profit P it earns operating the plane as a function of the number of passengers x ...?

Answers

Final answer:

The hourly profit of an airline operating a plane can be calculated by subtracting the operating cost from the revenue earned from passengers.

Explanation:

The hourly profit of an airline operating a plane can be expressed as the difference between the revenue earned from passengers and the operating cost of the plane.

The revenue earned from passengers can be calculated by multiplying the fare per passenger by the number of passengers. In this case, the fare is $100 per hour of flight, and the number of passengers is represented by x.

The operating cost of the plane is given as $3770 per hour.

Therefore, the hourly profit P can be expressed as:

P = (fare per passenger) * x - (operating cost of the plane)

Substituting the given values:

P = $100 * x - $3770

Evaluate 7 + (-3x2) for x = 0.

-2
0
4
7

Answers

I hope this helps you




7+(-3.0^2)



7+0


7

Answer:7+(-3.0^2)

7+0

7

Step-by-step explanation:

How to put 0.258 0.4 0.52 1.25 0,04 from least to greatest?

Answers

0.04, 0.258, 0.4, 0,52, 1.25 is the correct order. Hope this helps! ;) 

A population of bacteria is growing according to the function below, where t is in hours. How many hours will it take for the population to grow to 1,000 bacteria? Round your answer to the nearest integer. Do not include units in your answer.

B(t) = 50 e2.5t ...?

Answers

B(t)=50×e^2.5t

e^2.5t = 20
t= ln(20) / 2.5 
set B(t)=1000 and solve for t via 1000=50e2.5t
20=e2.5t
ln(20)=2.5t
t=ln(20) / 2.5

Which set is equivalent to (a u b) n c

Answers

the correct ans is b..

How many times can 57 go into 413?

Answers

7.68 however if it's one significant digit then it's 7

SO CONFUSED PLEASE HELP


Which situations can be represented by an exponential function? Select each correct answer.

On the highway, Kareem's car gets 38 mpg.

Shu Fang has $25.75 deducted from her checking account every month.

A toad population is increasing by about 7.5% each year.

An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.

Answers

Shu Fang has $25.75 deducted from her checking account every month. 

Answer: A toad population is increasing by about 7.5% each year.

An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.

Step-by-step explanation:

On the highway, Kareem's car gets 38 mpg.

This can be modeled with a linear relationship between the miles and the gallons of fuel needed.

Shu Fang has $25.75 deducted from her checking account every month.

Here we know that each month a constant amount is deducted from her, this is not an exponential relation.

A toad population is increasing by about 7.5% each year.

If the population initially was an amount P, after one year the population is P*1.075, after two years the population is P*(1.075)^2 and so on, this can be modeled with an exponential function where the years variable, the function will have the general form:

Population(y) = P*(1.075)^y

An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.

If the first year the population is X, the year after the attendance will be (4/5)X, and the year after this process applies again, so you have a 4/5 of the previous attendance, the attendance now is (4/5)^2*X

This also can be modeled with an exponential function, of the shape:

Attendance (y) = X*(4/5)^y, where again, y means years.

The thing you may notice is that in this case the model only works for the lapse of 5 years that the event organizer said.

The maximum speed of the Tupolev Tu -144 airliner is 694 m/s. What is this speed in kilometers per hour?

Answers

The answer is 2498.4km/h

The speed is [tex]694m/s = \frac{694m}{1s} [/tex]

1 m = 0.001 km          ⇒        694 m = 694 * 0.001 km = 0.694 km
1 h = 60 min = 60 * 60 s = 3600 s 

Therefore:
[tex] \frac{694m}{1s}= \frac{3600*0.694km}{3600s} = \frac{2498.4km}{1h} =2498.4km/h[/tex]

Answer: the correct answer would be 2498.4 km/h

*i got this question correct*

At the snack bar, hot dogs cost $4 each and bottled water costs $2 each. In the first business hour of the day, less than $12 worth of hot dogs and water were sold. Which are reasonable solutions for this situation if x represents the number of hot dogs sold and y represents the number of bottles of water sold? Check all that apply. (–1, 5) (0, 6) (2, 1) (1, 1.5) (1, 3) (2, 2)

Answers

Answers:
(2,1)
(1,3)

Explanation:
Assume that the number of hot dogs is x and the number of water bottles is y.
We are given that:
1- cost of hot dog is $4
2- cost of water is $2
3- total profit was less than $12

This means that:
4x + 2y < 12

We will check the options that satisfy the above inequality:
Option 1: (-1,5):
This option is rejected as we cannot sell -1 hot dog

Option 2: (0,6):
4x + 2y = 4(0) + 2(6) = 12
12 is not less than 12
This option is incorrect

Option 3: (2,1):
4x + 2y = 4(2) + 2(1) = 8 + 2 = 10
10 is less than 12
This option is correct

Option 4: (1,1.5):
This option is incorrect as we cannot sell 1.5 bottle of water

Option 5: (1,3):
4x + 2y = 4(1) + 2(3) = 4 + 6 = 10
10 is less than 12
This option is correct

Option 6: (2,2):
4x + 2y = 4(2) + 2(2) = 8 + 4 = 12
12 is not less than 12
This option is incorrect

Hope this helps :)

Answer: The answers should be ( 2, 1)

(1, 3)

Simplify.

1/4+4(1/2−3/4)^2

Answers

Hope this helps. If you have any further question, ask in comments.

Dominic, Ralf and Peter have just eaten a HUGE Christmas meal. Dominic now weighs half as much as Ralf, and Peter weighs three times as much as Dominic. Together they weigh 720 pounds. How much does Dominic weigh?

Answers

Dominic is 120 pound's, Ralf is 240 pound's, and Peter is 360 pound's. (I know you only asked for Dominic but i felt like giving you the other's to).:3 

Find the vertex of a function f(x)=-3x^2+9x-15 by completing the square

Answers

The vertex will be (3/2, - 33/4)

Given the function f(x) = x3 + 2x2 − 3x − 5, what is resulting function when f(x) is shifted to the right 1 unit?

Answers

When shifted to the right 1 unit it would be:
f(x - 1) = (x - 1)^3 + 2(x - 1)^2 - 3(x - 1) - 5 
= (x^3 - 3x^2 + 3x - 1) + 2(x^2 - 2x + 1) - 3(x - 1) - 5 
= x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5 
= x^3 - x^2 - 4x - 1 
I hope this helps

The sum of two numbers is 10. if one number is subtracted from the other the result is -2. find two numbers

Answers


Form an equation to describe the situation
x+y=10 
Then use the other information they gave you and form another equation
x-y=2
You can add the two equations together, and you see that the y variables cancel out(elimination)
2x=12
Solve for one variable and then plug it back into the original equation
x=6
6+y=10
y=4

Lorena deposited $2372 into an account that earns 4.5% interest which is compounded once a year. how much money will lorena have in the account in 20 years?

Answers

A=p(1+i/k)^kn,,A=2372(1+0.045)^20=5,720.59

Answer:

5720.59

Step-by-step explanation:

I know it's correct

What is the distance from the origin of point A graphed on the complex plane below?

a. square root of 5
b. square root of 13
c. 9
d. 13

Answers

Coordinates of point A are
(-3,-2)

Origin lies in the center of coordinate system. That means that you can picture this as right triangle with sides 3 and 2 and you need to find hypotenuse of it.

Using pythagoras theorem we calculate:
h^2 = 3^2 + 2^2 = 13
h = sqrt 13

Answer is b

Answer:

Answer is b

Step-by-step explanation:

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