What is the value of m in the equation 1/2m - 3/4n when n = 8?

Greg will pay $25.99 for one ink cartridge after the rebate

Cost of ink cartridge: $35.99

Rebate on each ink cartridge: $10

A rebate is a portion of the purchase price that is refunded. It serves as a motivator to promote the sale of goods. For instance, if I want to spend $1,000 on a laptop/computer, the shopkeeper can offer me a $100 rebate to sweeten the bargain and convince me to buy the item.

Price Greg will pay after rebate: 35.99 - 10 = $25.99

So, Greg will pay $25.99 for one ink cartridge after the rebate of $10.

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[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-3}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -3 +1}{2}~~~ ,~~~ \cfrac{ 6 +2}{2} \right) \implies \left(\cfrac{ -2 }{2}~~~ ,~~~ \cfrac{ 8 }{2} \right)\implies (-1~~,~~4)[/tex]

Answer:

454

Step-by-step explanation:

Answer: The Answer is 454.

The function that is the inverse of f is C. The function g because the graphs of f and g are symmetrical about the line y = x

The inverse of a function is a function that can reverse into another function.

If we have function f and g, and f f(x) = y, then g is the inverse of f if and only if g(y) = x

To determine which graph is an inverse of f, it has to satisfy the following condition

So, looking at the graph, we see that the only the graphs of f and g are symmetic about the line y = x.

Thus function g is the inverse of f.

So, the function that is the inverse of f is C. The function g because the graphs of f and g are symmetrical about the line y = x

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Answer:

The answer to the given equation is 1

Logarithmic scale: A measurement scale in which the position is marked using the logarithm of a value rather than the actual value.

A logarithmic equation includes a logarithm in the variable x.

An exponential equation is one in which the variable is represented by an exponent. A logarithmic equation is one in which the logarithm of a variable-containing expression is used.

For logarithmic equations, log b (x) = y is equivalent to b^y = x such that x > 0, b > 0 and b is not equal to 1.

In the given problem b = 4, x = 1 and y = 0

b = 4

x = 1

y = 0

Substituting the values of b, x and y into the equation b^y = x;

4^(0) = 1

Therefore, the value of the given equation log₄1=0 is 1

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The inequalities which shows the closest whole number range for :

a) y = √74 is 8 < y < 9.

b)  z = ∛74  is 4 < z < 5.

What is an mathematical expression?

Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

it is given that for x = √28 the value of x ranges between 5 and 6 that is 5 < x < 6  because square root of 28 is approximately 5.29 which  is less than 6 and greater than 5.

a)  Now, for y = √74 :

the square root of 74 is approximately 8.6 which  is less than 9 and greater than 8 that is the value of y ranges between 8 and 9 that is :

8 < y < 9.

b) Now, for z = ∛74 :

the cube root of 74 is approximately 4.19 which  is less than 5 and greater than 4 that is the value of z ranges between 4 and 5 that is :

4 < z < 5.

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The line parallel to line  y = 7x - 6 and passing through points  (5, 8)  is

Given data

y = 7x - 6

(5, 8) and is parallel

From the line,  y = 7x - 6, the slope is 7. Since slope of parallel lines are equal, the new line will have same slope and pass through points  (5, 8).

y - 8 = 7 ( x - 5 )

y - 8 = 7x - 35

y = 7x - 35 + 8

y = 7x - 27

Hence we can say that the line parallel to line  y = 7x - 6 and passing through points  (5, 8)  is y = 7x - 27

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The equation of the line parallel to y = 7x - 6 passing through (5, 8) is y = 7x - 27

The equation of the line is parallel to the equation y = 7x - 6.

Parallel line have the same slope.

Therefore, let's represent the equation as follows:

y = mx + b

where

Therefore, the slope of the graph y = 7x - 6 is 7.

The equation of the line that contains (5, 8) and parallel to the graph can be computed as follows

y = 7x + b

let's find the y-intercept

8 = 7(5) + b

8 - 35 = b

b = - 27

Therefore, the equation of the line parallel to y = 7x - 6 passing through (5, 8) is y = 7x - 27

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Answer:

Step-by-step explanation:

Let n represent the unknown number-

[tex]\frac{3}{4}n-3=-9\\ \\ \frac{3}{4} n-3+3=-9+3\\ \\ \frac{3}{4} n=-6\\\\ \frac{4}{3}(\frac{3}{4}n)=\frac{4}{3}(-6)\\ \\ n=-8[/tex]

Unknown number = -8

Saying it in digits = [tex]\frac{3}{4}n-3=9[/tex]

The expression is written as a product of binomials as;

a) (x + 2) (5x + 3)

b) (x - 5) ( 3x + 2)

What is Distributive property?

Distributive property is said to be multiplying the sum of two or more number will give the same result as multiplying each addend individually by the number and then adding the products together.

Now, For solving the expression by using the distributive property "backwards" , we can find the GCD of each term using in the expression as;

(a) x(x+2) + 3(x+2) + 4x(x+2)

GCD of x(x + 2), 3(x + 2), 4x(x + 2) = (x + 2)

Hence, Firstly take (x + 2) as common term we get;

x (x + 2) + 3(x + 2)+ 4x(x + 2) = (x +2) ( x + 3 + 4x)

                                            = (x + 2) (5x + 3)

The expression is written as a product of binomials as;

a) x (x + 2) + 3(x + 2)+ 4x(x + 2) = (x + 2) (5x + 3)

And, (b) 2x(x-5) + 3(x-5) + (x-1) (x-5)

GCD of 2x(x-5) , 3(x-5) , (x-1) (x-5) = (x - 5)

Hence, Firstly take (x - 5) as common term we get;

2x(x-5) + 3(x-5) + (x-1) (x-5) = (x - 5) (2x + 3 + x - 1)

                                        = (x - 5) ( 3x + 2)

So, The expression is written as a product of binomials as;

b) 2x(x-5) + 3(x-5) + (x-1) (x-5) = (x - 5) ( 3x + 2)

Therefore, The expression is written as a product of binomials as;

a) (x + 2) (5x + 3)

b) (x - 5) ( 3x + 2)

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Answer:

x = 6

Step-by-step explanation:

The 'ZERO" of the function is the 'x' value(s) where it crosses the x-axis (and

'y' = ZERO)

Answer:

x = 6

Step-by-step explanation:

the zero of the function is the value of x on the x- axis where the graph crosses.

the graph crosses the x- axis at 6

then the zero is x = 6

Answer: I hope this helps.

Step-by-step explanation:

Answer:

The correct answer is -2+1.

So yeah

The logarithm statement log (x - 2) = log x / log 2 is a false statement as log x / log 2 = log x - log 2.

We are given the logarithm as:

log (x - 2) = log x / log 2

We need to tell if it is true of not.

We get that, it is false statement.

We know that log a / log b = log a - log b

So, log x / log 2 = log x - log 2

So, it is not equal to log (x - 2)

Therefore, we get that, the logarithm statement log (x - 2) = log x / log 2 is a false statement as log x / log 2 = log x - log 2.

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The Simplest form of the expression = [tex]2^{-16} x^{-1} y^{-4}[/tex]

We need to express as:

[tex]a^{m}[/tex]/[tex]a^{n}[/tex] = [tex]a^{m-n}[/tex]

As the expression is given :

[tex](16 x^{1/4}y^{3/3} ) ^{-4}[/tex]

= 1/ [tex](16 x^{1/4} y^{3/3}) ^{4}[/tex]

= 1/[tex](2^{4} x^{1/4} y^{3/3}) ^{4}[/tex]

= 1/[tex](2^{16} x^{1} y^{4} )[/tex]

= [tex]2^{-16} x^{-1}y^{-4}[/tex]    (Simplest form of the equation)

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Addie is correct because both 2 and 14 are common factors of 56 and 42.

The factor of a number is the number that can perfectly divide another number without leaving any remainder. For example, a factor of 20 is 10 because 10 perfectly divides 20 to 2.

A common factor is a factor that is common to two or more integers. An example of a common factor of 15 and 20 is 5.

A Venn diagram uses circles that overlap each other to show logical relationships between two or more sets of items. The numbers at the intersection of the two circles are common to both numbers.

Factors of 56 =  1, 2, 4, 7, 8, 14, 28 and 56.

Factors of 42 = 1, 2, 3, 6, 7, 14, 21 and 42.

Common factors = 1, 2, 7, 14

This means that Addie is correct because both 2 and 7 are common factors of 56 and 42.

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Answer:

18/36×100%

The answer will be 50

Step-by-step explanation:

Hope it helps you

Decimal should the digital scale show is 0.2

The grocery store asked me to buy 3 [tex]\frac{1}{5}[/tex] pounds of ham. You will be asked to find the number of decimal places displayed by the digital scale.

3 [tex]\frac{1}{5\\}[/tex] lbs = 3 lbs + [tex]\frac{1}{5}[/tex] lbs

[tex]\frac{1}{5}[/tex] = 0.2

3 [tex]\frac{1}{5}[/tex] = 3.2

Therefore, the digital scale is displayed in decimal.

Real numbers, natural numbers, whole numbers, rational numbers, and other sorts of numbers can all be categorized in mathematics. There are decimal numerals among them. Integer and non-integer numbers are represented using this format as a standard.

One of the number types in algebra that has a whole integer and a fractional portion separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.

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The correct option is (c) 144ft

The maximum height the ball reaches is 144ft.

A quadratic function has the form of equation as ax²+ bx + c, where a, b, and c are the numbers not equal to  zero. In mathematics, the quadratic function, the quadratic polynomials , 2 degree polynomial is a polynomial function with one or more that one variables in which the highest term is of the second degree.

In the question,

h(t)=-16 t²+96 t

and velocity = 96ft/s

out the -16 from the equation.

h(t)= -16 ( t² + 6 t )

h(t) = −16(t² −6t+9−9)

     = −16(t² −6t+9)+144

Factor the equation to get a perfect square ,t = 3 then h(t) = 144. The maximum height is 144.

−16(t−3)² +144

Thus, height is 144 ft.

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Height of entertainment center will be 32 inches .

Given : Depth of entertainment center = x

Length of entertainment center = x

Height of entertainment center = 2 * depth = 2 * x = 2 x

To find : height of entertainment center .

Volume of entertainment center = depth * height * length

Substituting values in formula above :

8192 = x * x * 2 x

Solving for x ,

[tex]x^{3}[/tex] = 4096

x = 16

Hence , height of entertainment center = 2 x = 2 * 16 = 32 inches .

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We get the equation in logarithmic form as log₁₀ 1000 = 3.

A “logarithmic equation” is an equation which involves the “logarithm” of any expression which is containing a variable.

Now, we have been given an equation:

10 ³ = 1000

We need to write it in the logarithm form.

We know that, it will be written as:

log₁₀ 1000 = 3

Since the power goes after the equal sign, so 3 is placed after the equal sign.

The actual value is taken after log, so 1000 is placed there and the base number is taken as the base for the log, so 10 is taken as the base for the log.

Therefore, we get the equation in logarithmic form as log₁₀ 1000 = 3.

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Answer: 176cm

Step-by-step explanation:  To find the circumference of the circle, we will use the circumference formula: 2πr = 2 × 22/7 × 28

Answer:

18213

Step-by-step explanation:

Given equation,

→ 467 × 39

Let's solve the problem,

→ 467 × 39

→ 18213

Thus, the answer is 18213.

Answer:

98

Step-by-step explanation:

(49)2

= 49 • 2

= 98

Therefore, (49)2 = 98

..............

The median of a data set is 9.5

Mean is the ratio of sum of the observations to the total number of observations.

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

The median of a data set is the middle number when all of the data points are ordered from smallest to largest. For the data set, the first thing you want to do is put them in order from smallest to largest gives you:

6 6 7 7 7 9 10 10 10 10 11 12

Then we will find the middle of the data set. Since there is an even number of twelve data points; it will be between the sixth and seventh point:

6 6 7 7 7 9 ^ 10 10 10 10 11 12

Now the average of those two in the middle to get the median:

9.5

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To find Y-intercept

Set X=0

Answer:

T(3, 8)

Step-by-step explanation:

Yes, it can.

Use the midpoint formula with points S and Z, and solve for point T.

M( (x_1 + x_2)/2 , (y_1 + y_2)/2 )

Z(3, 5) = ( (3 + x)/2 , (2 + y)/2 )

(3 + x)/2 = 3

3 + x = 6

x = 3

(2 + y)/2 = 5

2 + y = 10

y = 8

T(3, 8)