0 Expand 3(2x - 3y - 2)​

Answer:

x>12

Step-by-step explanation:

x-6>6

move constant (6) to right

x>6+6

x>12

alternate form

(12, infinity symbol)

hope this helps

Answer:

12

Step-by-step explanation:

Answer: 10 (2 legged) and 8 (4 legged)

Step-by-step explanation:

Answer:12 4 legged and 6 2 legged animals

Step-by-step explanation:

quick mafs

Answer:

25

Step-by-step explanation:

[tex]\frac{1}{5}[/tex] = [tex]\frac{5}{x}[/tex]  On the top, you need to multiply 1 by 5 to get 5, so multiply the bottom number 5 by 5 to get 25.

The value of x for 2 log x + log 4=2 is 5.

The exponential equation x = ay is defined as being identical to the logarithmic function y = logax. Only when x = ay, a > 0, and a 1 does y equal logax. It is known as the base-a logarithmic function. Think about what the exponential function's inverse means: x = ay.

Given,

2 log x + log 4=2

log x² + log 4 = 2

log(4x²) = 2

4x² = 10²

2x = 10

x = 5

To learn more about logarithmic function from given link

https://brainly.com/question/13473114

#SPJ4

Answer: x>=-11

Step-by-step explanation:

|x + 11 | = x + 11

x+11=x+11 ==> x+11>0 since absolute value functions are greater than 0

x=x when x+11>0

x+11>0

x+11-11>0-11

x>-11

x+11=-(x+11)  

x+11=0    ==> the only time a positive and negative number are equal is when the number itself is 0. Here, the number is 'x+11'.

x+11-11=0-11

x=-11

x=-11 and x>-11 ==> x>=-11

It totally depends on the value of a , that it will stretch or compress.

A function change that makes a graph bigger or narrower is called a stretch or compression. To stretch a graph is to enlarge or reduce its size. Transformations are used to change the graph of a parent function into the graph of a more complex function.

1. Determine a's value.

2. Multiply each value in the range by a.

3. The graph is distorted by an amount equal to aa if a>1.

4.The graph is compressed by a factor of aa if 0<a<1.

5.If a<0, the graph is distorted around the x-axis and either stretched or compressed.

Learn more about the stretch or compression at:

https://brainly.com/question/16250181

#SPJ4

The diagonal of the new screen is approximately 21.21 inches.

The diagonal is a straight line that joins two opposite sides of a quadrilateral(polygon with 4 sides).

The length of the diagonal of the square is given as d=5/6√3A where A is the area of the square.

Now when diagonal d=15 cm then we substitute the value of d=15 to calculate area A of the square.

15=5/6√(3A)

or, 3A=15²×6²÷5² (squaring both sides)

or, A=108 square inches

The new monitor has an area of twice the old monitor.

Area of the new monitor =2×108 square inches=216 square inches.

Now we use the value of A=216 to calculate the value of diagonal d for the new monitor.

d=5/6√(3×216)

d=21.213.. inches

Therefore the diagonal of the new screen is approximately 21.21 inches.

To learn more about diagonal of a square visit:

https://brainly.com/question/3417399

#SPJ4

Answer:

Don't cheat, there is your answer.

Step-by-step explanation:

Answer:

I don't know this answer

The number of hours parked for the cost of each garage to be the same is 3 hours.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let t represent the number of hours parked at either garage A or garage B. Hence:

Total charges at garage A (A) = 5t + 11

A = 5t + 11

Total charges at garage B (B) = 6t + 8

B = 6t + 8

If both garages have the same cost:

5t + 11 = 6t + 8

t = 3

The number of hours parked for the cost of each garage to be the same is 3 hours.

Find out more on equation at: https://brainly.com/question/13763238

#SPJ1

I did it with a calculator and got 63

Answer:

300

Step-by-step explanation:

Because of PEMDAS (Order of Operations), you would do the exponent first.

So, 3(x)^2 and 3(100)

Then you get 300

Hope this helps!

Answer:

300

Step-by-step explanation:

3(10^2)

3(100)

300

Answer:10

Step-by-step explanation:

Using the distributive Property method.

Yes, there is a probability that there are some very high wages that strongly increases the average wage in Los Angeles like the wages of highly paid famous actors and actresses and some computer programmers in places like Silicon Valley.

This increases the gap between the highly paid and the low-income earners. As a result, finding the average gives a value that is below the average wage for that city.

The average annual wage in Los Angeles is Approximately $66,966 which narrows down to roughly $32.20 an hour. To calculate an average wage, we add all wages earned monthly, yearly or quarterly and divide by the number of workers registered.

#SPJ4

Answer:

1200

Step-by-step explanation:

Answer:

What is the price per pound of the goji berries? A. $1.00 per pound ... The ratio of boys to girls at Louisiana Middle School is 3 : 5.

Step-by-step explanation:

We need to know about inequality to solve the given problem. The double inequality to represent the possible length of a gymnastics routine is given by 3≤b≤7.

Inequality is a realtion which makes comparison between numbers or other expressions. Double inequality means when two or more inequalities are joined together. Here in this question we know that each gymnastic routine is at least 3 minutes long. We assume that the length of a gymnastic routine is b, then we can say from the given information 3≤b. It is also said that no gymnastic routine is longer than 7 minutes, so maximum length of any gymnastic routine is 7 minutes, we can write it as, b≤7. Joining these two inequalities we get the double inequality which describes the possible length of a gymnastic routine.

3≤b≤7

Therefore using the concept of inequality we found the double inequality for possible length of gymnastic routine which is 3≤b≤7.

Learn more about inequality from here:

https://brainly.com/question/14361489

#SPJ9

If the expression is [tex]log_{2}\sqrt{x}[/tex] then the expansion of the expression looks like ([tex]log_{2}x[/tex])/2

Given that the expression is [tex]log_{2}\sqrt{x}[/tex].

We are required to find the expanded form of the expression.

The power property says that if an exponent is being raised to another exponent, we can multiply the exponents. It says that

log[tex]a^{b}[/tex]=b log a.

The expression is [tex]log_{2}\sqrt{x}[/tex].

[tex]log_{2}\sqrt{x}[/tex]=[tex]log_{2}x^{1/2} }[/tex]    

(We have to just put the power of x in front of the log to expand)

=([tex]log_{2}[/tex] x)/2

Hence if the expression is [tex]log_{2}\sqrt{x}[/tex], then the expansion of the expression looks like ([tex]log_{2}[/tex] x)/2.

Learn more about power property of logarithm at https://brainly.com/question/26768840

#SPJ4

The solution to the division operation is 3 with a remainder of 0.

From the question, we are to determine the quotient and the remainder from dividing the given polynomials

The given division operation is

(6x² + 6) ÷ (2x² + 2)

Using the long division method

                       3

2x² + 2 ) 6x² + 6

            - 6x² + 6  

                       0  

The quotient of the division operation is 3 and the remainder is 0. The divisor is 2x² + 2

Hence, the solution is 3 + 0/(2x² + 2)

Learn more on Dividing polynomials here: https://brainly.com/question/25289437

#SPJ1

Answer:

you add 40+12+25+2+610 and you will get your answer

Answer:

Horatio spends 30 hours on the more difficult book and 10 hours on the lighter book

Step-by-step explanation:

Let X be the hours spent reading the more difficult book
Let Y be the hours spent reading the less difficult book

Total hours spent = X + Y = 40

Number of pages of difficult book in X hours at 12 pages per hour = 12X

Number of pages of easier book in Y hours at 25 pages per hour = 25Y

Total pages read = 12X + 25Y

So we have two equations in X and Y and we can solve them simultaneously. Equations are:

  X + Y = 40                    (1)

12X + 25Y = 610             (2)

We can eliminate one of the variable terms by making the coefficients of the other term equal and then subtracting

Multiply (1) by 12 to make X terms equal
12(X + Y) = 12 x 40
12X + 12Y = 480                (3)

Subtract (3) from (2)

(2) - (3)

==> 12X + 25Y - (12X + 12Y) = 610 - 480

==> 12X + 25Y - 12X - 12Y = 130

==> 25Y - 12Y = 130                           (12X terms cancel)

==> 13Y = 130

==> Y = 130/13                                     (divide both sides by 13)

==> Y = 10

Using (1)
X + Y = 40

==> X + 10 = 40
==> X + 10 - 10 = 40 - 10

==> X = 30

So answer:
Horatio spends 30 hours on the more difficult book and 10 hours on the lighter book

Based on the length and width of the rectangle given, the area of the rectangle is 10 cm²

The area of a rectangle refers to the amount of a surface that the rectangle occupies.

This area can be found by the formula:

= Length x Width

Solving for the area of the rectangle therefore gives:

= 4 x 2.5

= 10 cm²

In conclusion, the area of the rectangle is 10 cm².

In conclusion, the area of the rectangle was 10 cm².

Find out more on the area of a rectangle at https://brainly.com/question/25292087

#SPJ1

The number of at-the-door tickets that must be sold to reach the goal is 100.

The system of linear equations that can be used to determine the required values are:

10p + 15d = $3500 equation 1

p + d = 300 equation 2

Where:

To determine the value of d, take the following steps:

Multiply equation 2 by 10

10p + 10d = 3000 equation 3

Subtract equation 3 from equation 1

5d = 500

Divide both sides of the equation by 5

d = 500 / 5

d = 100

An alternate way to solve this question is to use the provided graph. Trace the point where the two curves meet to the y-axis. When traced the the y-axis the value gotten is 100.

To learn more about system of equations, please check: https://brainly.com/question/25875552

#SPJ1

Answer:

No solutions.

Step-by-step explanation:

The absolute value cannot be less than 0

The system of equations that can be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased is given by:

S + J = 11.

45S + 15J = 285.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

In order to write the system of equations that can be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased, we would assign variables to them as follows:

Therefore, the system of equations that represents the given word problem include the following:

S + J = 11

45S + 15J = 285

Read more on inequality and system of equations here: https://brainly.com/question/15810289

#SPJ1

Julian factored the expression of [tex]2x^{4} +2x^{3} -x^{2} -x[/tex], then the

step 2 ( [tex]x(2x^{2} +1)) -1(x-1)[/tex]) statement is wrong statement.

Julian should have factored (2*2-1) as a difference of squares.

Julian incorrectly factored -1 from the second group of terms.

Julian should have factored 2x from all terms instead of x

Julian incorrectly factored 2*2 from the first group of terms

The expression is,  [tex]2x^{4} +2x^{3} -x^{2} -x[/tex]

Factors greatest  common factors out,

= [tex]x(2x^{3} +2x^{2} -x-1)[/tex]

Regroup terms into two proportional parts,

= [tex]x((2x^{3} +2x^{2} )+(-x-1))[/tex]

Factor the expression,

= [tex]x(2x^{2} (x+1)+(-x-1))[/tex]

= [tex]x(2x^{2} (x+1)-(x+1))[/tex]

= [tex]x(x+1)(2x^{2} -1)[/tex]

Hence, we can write,

= [tex]2x^{4} +2x^{3} -x^{2} -x[/tex]

= [tex]x(2x^{3}+2x^{2} -x-1)[/tex]

So step 1 is correct.

= [tex]x(2x^{2} (x+1)-(x+1))[/tex]

Then, step 2 is wrong.

Therefore, the expression of [tex]2x^{4} +2x^{3} -x^{2} -x[/tex], then the

step 2 ( [tex]x(2x^{2} +1)) -1(x-1)[/tex] )statement is wrong statement.

To learn more about visit Factorization :

brainly.com/question/3057890

#SPJ1

Answer:

Julian should have factored (2x^2-1) as a difference of squares.

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

12√144

12 × 12

=144

For a number to be classified as a prime number, it should have exactly two factors. Since 144 has more than two factors, i.e. 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, it is not a prime number.

The inverse function returns the original value for which the output of a function was given

The inverse of this function is x = [tex]$\sqrt{\frac{y+5}{3} }[/tex]

The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x.

If y varies inversely as x and x = 5 when y = 2, the constant of variation is k = xy = 5(2) = 10.

As a result, the equation for this inverse variation is xy = 10 or y = 10/x. Write an equation describing the inverse variation of y if it varies inversely as x and y = 6.

When x = 6, k = (6) = 8.

Let the function be y = 3x² - 5

y = 3x² - 5

Switch sides and add 5 to both sides

3x²  = y + 5

Divide both sides by 3

x² = y + 5/3

Take the square root of both sides

x = ± [tex]$\sqrt{\frac{y+5}{3} }[/tex]

x = [tex]$\sqrt{\frac{y+5}{3} }[/tex]

Therefore, the value of x = [tex]$\sqrt{\frac{y+5}{3} }[/tex]

To learn more about inverse refer to:

https://brainly.com/question/10687170

#SPJ4