15 A function is graphed on the set of axes below.
State the domain of this function. State the range
of this function.

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:

Answer:

No solutions.

Step-by-step explanation:

The absolute value cannot be less than 0

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:

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.

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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.

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

I did it with a calculator and got 63

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.

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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]

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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.

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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.

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.

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Answer:

Don't cheat, there is your answer.

Step-by-step explanation:

Total amount of money in the account in the first bank after 3 years will be given by the function: P[tex]e^{0.07}[/tex].

The formula for calculating the amount (A) on a principal (P) invested at the rate of r%, compounded continuously after t years is-

A = P[tex]e^{rt}[/tex]

Here, we are given that there are 2 financial institutions-

1st financial institution:

interest rate =  3% for the first year

and interest rate for next two years = 2%

2nd Financial institution:

interest rate = 2.49% for three years

Let the principal amount deposited be P

We assume that the interest is compounded continuously.

Then for the 1st year-Amount = P[tex]e^{0.03}[/tex]

Since, there are no withdrawals or deposits,

The Amount of the 1st year will become the principal for the second year-Amount = (P[tex]e^{0.03}[/tex]) [tex]e^{0.02 * 2}[/tex]

= P × [tex]e^{0.03}[/tex] × [tex]e^{0.04}[/tex]

= P[tex]e^{(0.03 + 0.04)}[/tex]

= P[tex]e^{0.07}[/tex]

Thus, the total amount of money in the account in the first bank after 3 years will be- P[tex]e^{0.07}[/tex].

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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)

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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.

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Answer:

=15p+60-24q-48=15p-24q+12

it's the first one

The equivalent form of the given expression will be 15p - 24q +8. Hence, the first option is correct.

In mathematics, expressions are assertions that must contain at least two words with variables or terms with numbers in them, or both, and connect them with an operator. It is possible for the mathematical operators to be addition, subtraction, multiplication, or division.

For instance, the equation (x+y) has the terms x and y with an addition operator in between. Numerical expressions, which just contain numbers, and algebraic expressions, which also include variables, are the two types of expressions used in mathematics.

The given expression in the question,

15(p + 4) - 12(2q + 4)

15p + 60 - 24q - 48

15p - 24q + 12.

Hence, it is proved that the equivalent form of the expression is 15p - 24q + 12.

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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.

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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.

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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.

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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:

1200

Step-by-step explanation:

The value of x and y from the given angles 6x - 25, y  and 4x + 15 will be x = 20 and y = 85 degrees.

The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

The angles are given that 6x - 25, y  and 4x + 15

WE can see that the angles 6x - 25 and 4x + 15 are  vertically opposite angle, then

6x - 25 = 4x + 15

6x - 4x = 25 + 15

2x = 40

x = 20

Now by linear pair we get

y + 4x + 15 = 180

y + 4(20) + 15 = 180

y = 180 - 80 - 15

y = 100 - 15

y = 85

Therefore, the value of x and y from the given angles 6x - 25, y  and 4x + 15 will be x = 20 and y = 85 degrees.

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Answer:10

Step-by-step explanation:

Using the distributive Property method.

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

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

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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