Question 4 (10 point)

The correct statement is  f minus 7 over 8 is greater than negative 2 over 3. Option C

Inequalities are defined as mathematical relation with an unequal comparison between two numbers, elements, quantities or mathematical expressions.

They are mostly used in the comparison of two numbers on the number line on the basis of their size of magnitude.

From the information given, we have that;

Let the number be f

This is expressed as;

f - 7/8 > -2/3

This is written in word form as;

f minus 7 over 8 is greater than negative 2 over 3

Hence, the expression is f - 7/8 > -2/3

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Answer:

Step-by-step explanation:

c i have spoken

Answer:

B. x = -3

Step-by-step explanation:

f(x) = y

or however the vertical axis is called.

that is just something you always have to consider.

so, for what value of x does the functional curve ever reach the result (y) value of 3 ?

imagine a horizontal line you put through y = 3.

at what points is the functional graph touching or intersecting this line ?

at exactly 1 point. and that is at x = -3.

The distance between two points can be calculated using the formula;

For points;

Given the points;

The distance between the two points can be calculated using the above formula;

The distance between the two points is;

The inequality statement comparing m and n is m > n.

The inequality is true because m is further along the number line than n

It should be noted that an inequality is simply used to express the information given hat aren't equal.

Based on the number line that's drawn we came we that is close to 3 and n is close to 1.

Therefore, this shows that m is greater than n.

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Answer:  

800,000

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that Samantha has 24 different outfits to choose from.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with n1 ,n2 , n3, ..... nn ways to be done, each thing independent of the other, the number of ways they can be done is:

N= n1*n2*n3.....nn

In this problem:

For the pants, there are 2 options,  hence n1=2 .

For the t-shirts, there are 2 outcomes, hence n2=2.

For the shoes, there are 9 outcomes, hence  n3=6.

Thus, the total number of outfits is given by:

N = 2 x 2 x 6 = 24.

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Answer:

Step-by-step explanation:

y=30x+65

y=30(3)+65

y=90+65

y=155

Using LCM, Ramya and Deepika will exercise together after 8 days.

Step 1: Use the repeated division method to identify the prime factors of the supplied numbers.

Write the numbers in exponent form in step two. Only those prime factors' product with the highest power should be sought.

Step 3: The LCM of the provided numbers is the product of these factors with the highest powers.

Factors of 8 = 2 × 2 × 2

Factors of 4 = 2 × 2

LCM of 8 and 4 = 8

∴ Ramya and Deepika will exercise together after 8 days.

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Correct Question -

Ramya exercises every 8 days and Deepika every 4 days • Ramya and Deepika exerised today. After how many days they exercise together again?​

Answer:

the anwser is 180

Step-by-step explanation:

The difference between the numerator and denominator of the fraction parameters is 40

From the question, the fraction is given as

5/3

The above fraction can be represented as

5x/3x

This is so because of the following equation

5x/3x  = 5/3

The above is calculated by dividing the numerator and the denominator by the common factor x

Solving further, we have

Sum of the numerator and denominator = 160

This means that

5x + 3x = 160

Evaluate the sum in the above equation

So, we have

8x = 160

Divide both sides of the fraction by 8

So, we have

x = 20

The required difference is represented as

Difference = 5x - 3x

Evaluate

Difference = 2x

Substitute x = 20 in Difference = 2x

So, we have

Difference = 2 x 20

Evaluate

Difference = 40

Hence, the difference between the fraction parameters is 40

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The answer of the given question of radicals is -1.

What is radicals?
A surd or radical is an unresolved root, particularly one that employs the radical symbol. A radical expression is any expression that contains a radical, whether it is a square root, a cube root, or a higher root, while an algebraic expression is any statement that does not contain any transcendental functions or transcendental numbers. The root test is used to determine the radius of convergence of a power series. The nth roots of 1 are known as roots of unity, and they play an important role in many areas of mathematics, including number theory, equation theory, and the Fourier transform.

Given, ∛-1

if we evaluate this radical then,

∛-1 = -1

because 1 perfect cube.

Hence, the answer is option(a) i.e, -1

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Answer:

(9, 1 )

Step-by-step explanation:

a translation 2 units right means add 2 to the x- coordinate

a translation of 1 unit up means add 1 to the y- coordinate.

(7, 0 ) → (7 + 2, 0 + 1 ) → (9, 1 )

Answer:

  a drop of 5 degree F, or -5 °F

Step-by-step explanation:

You want to know the total change in temperature after a drop of 2 degree F and a second temperature drop of 3 degree F.

The total change will be the sum of changes.

We can figure the total drop in temperature as the sum of drops:

  2 °F +3 °F = 5 °F . . . . the total drop in temperature

If we use negative values to represent temperature drops, then the total change can be written as ...

  (-2 °F) +(-3 °F) = -5 °F . . . . . the total change in temperature

__

Additional comment

We often find it convenient to use negative numbers to represent decreases, drops, amounts below some reference level, and so on. Positive numbers can be used for the same purpose if we define the meaning of a positive number in the context.

Here, we can identify a temperature drop by saying it is a drop of 5 degrees, where a positive temperature drop means a change to a lower value. Or, we can say it is a change of -5 degrees, where a positive change is defined as a change to a higher value.

Defining the meaning of positive and negative numbers is especially important when an "improvement" is a reduction in some value (cost, for example). A positive improvement may mean a negative change, and vice versa.

Answer:

Solutions Below.

Step-by-step explanation:

These questions test on the concept of Functions Substitution.

Function Substitution is about giving an input (domain) to a function to produce an output (range)

Example: f(x) = 9x , f(9) = 9(9) = 81

We are given the following function:

f(x) = 10x + 8, where we can express it as

y = 10x + 8

Now we can find the value of f(5) by substituting x = 5 into the function. (Meaning: Find the value of y when x = 5.)

f(5) = y = 10(5) + 8 = 50 + 8 = 58

Next, applying the same concept, we can find the value of f(-7) by substituting x = - 7 into the function. (Meaning: Find the value of y when x = -7.)

f(-7) = y = 10(-7) + 8 = -70 + 8 = - 62

This last question requires us to work in reverse, where we find the value of x when f(x) = y = 88.

f(x) = y = 10x + 8

10x + 8 = 88

10x = 88 - 8

10x = 80

x = 80 ÷ 10 = 8

Answer: look it up on calculator

Step-by-step explanation:

The equivalent expression is (-2)^2. Option D

Index forms are simply defined as mathematical expressions with a number or element raised to a variable or number.

Example for index forms are;

2^7

5^2

6^x

2^y

Equivalent expressions are defined as algebraic expressions that are equal to each other but have different arrangement of its values or elements.

From the information given, we have that;

Now, substitute the values, we have;

(-2)^4/(-2)^2

Take inverse of the power

(-2)^4 - 2

Subtract the values

(-2)^2

Hence, the expression is (-2)^2

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The complete question:

Choose an expression that is equivalent to negative two raised to the fourth power divided by negative two raised to the second power.

a. 6

b. (-2)^4

c. 8

d. (-2)^2

Answer:

d

Step-by-step explanation:

A. The lines with equation 3x - 4y = 6 and 3y = -4x + 9 are perpendicular

B. The lines with equation y = 1⁄2x - 7 and 6x - 12y = 24 are parallel

From the equation of lines, we can detect if they are parallel or perpendicular as follow:

With the above information, we can obatin the answer to the questions. Details below

For question A.

We shall determine the slope of each line. This can be obtained as follow:

3x - 4y = 6

Rearrange

4y = 3x - 6

y = 3/4x - 6/4

Comparing y = 3/4x - 6/4 with y = mx + c, the slope is 3/4

3y = -4x + 9

y = -4/3x + 9/3

Comparing y = -4/3x + 9/3 with y = mx + c, the slope is -4/3

m₁ × m₂

3/4 × -4/3 = -1

Thus, we can say: 3x - 4y = 6 and 3y = -4x + 9 are perpendicular

For question B.

We shall determine the slope of each line. This can be obtained as follow:

y = 1/2x - 7

Comparing y = 1/2x - 7 with y = mx + c, the slope is 1/2

6x - 12y = 24

Rearrange

12y = 6x - 24

y = 6/12x - 24/2

y = 1/2x - 12

Comparing y = 1/2x - 12 with y = mx + c, the slope is 1/2

m₁ = m₂

Thus, we can say: y = 1/2x - 7 and 6x - 12y = 24 are parallel

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The quadratic equation in standard form is y = 3 · x² + 2 · x - 1. (Correct choice: C)

In accordance with the fundamental theorem of algebra, a quadratic function can be found by knowing three distinct points. Quadratic functions are polynomials of the form, known as standard form:

y = a · x² + b · x + c

Where a, b, c are real coefficients.

If we know that (x₁, y₁) = (- 3, 20), (x₂, y₂) = (0, - 1) and (x₃, y₃) = (2, 15), then the coefficients of the polynomial are found by numerical methods:

9 · a - 3 · b + c = 20

c = - 1

4 · a + 2 · b + c = 15

The solution to the system of linear equations is (a, b, c) = (3, 2, - 1). The equation is y = 3 · x² + 2 · x - 1.

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Answer: You Welcome

Step-by-step explanation:

12.6 Repeating Decimal = 12 2/3 as a Fraction

Answer:

no, it not

Step-by-step explanation:

It's not a repeating decimal because

A fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is not the case here, which means that our answer is as follows:

12/6

= no.-repeating

The value of y in the equation 1/2 = 1/4y + 1/8y when solved is y = 4/3 .

A linear equation in one variable is defined as an equality between two expression either or both containing the variable .

The given expression can be written a linear equation of the form :

1/2 = 1/4y + 1/8y

Simplifying the equation we get :

y = 4 / 3

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Answer:

Step 2

Step-by-step explanation:

In basic algebra, if one side is positive then you must subtract on both sides, and if one side is negative then you must add on both sides to isolate the x variable.

Answer:

1: missing: x values are 4 and 2. missing y values are 20.

2: missing: x values are 12. missing y values are 5 and 3.

3: missing x value is 18. missing y value is 2 and 5.

4: missing x values are, 5, 8, and 12

fill in answers are going from in order left to right

The area of rectangle B is 560 square inches.

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle.

Given that,

Scale factor = 4

Rectangle A has

length = 5 inches

breadth =  7 inches

Area of a rectangle A = length×breadth

                                    = 5×7

                                    = 35 square inches

Scale factor is 4 so length and width of a new rectangle is

length = 5×4 = 20 inches

breadth =  7×4 = 28 inches

Area of a rectangle B = length×breadth

                                    = 20×28

                                    = 560 square inches

Hence, The area of rectangle B is 560 square inches.

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Answer:

5

Step-by-step explanation:

If he wants to cut it into 3/5 meters long then each rope is 0.6 meters long.

3/0.6 = 5

Answer:

a = 5

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

          = [tex]\frac{4+6+4+7+8+a+6+7+7}{9}[/tex] = 6 ( multiply both sides by 9 to clear fraction )

49 + a = 54 ( subtract 49 from both sides )

a = 5

To solve the inequality given by -n/7 ≤ 14 , -7 should be multiplied to both sides of the inequality .

Any monotonically rising function can, by definition, be applied to both sides of an inequality without changing their connection to one another (provided that both expressions are in the domain of that function).

The inequality is -n/7 = 14

or, -n ≤ 14 × 7

or, -n ≤ 98

or, n ≥ -98

Therefore the first step is solve the inequality is to multiply both sides by 7.

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Answer:

m = 14

Step-by-step explanation:

-(5m+11) = 3 (m - 41)

-5m -11 = 3m - 123

-5m -3m = -123+11

-8m = -112

m = -112/-8

m = 14

The required solution of given polynomial equation is [tex]x+1-\frac{8}{2x+5}[/tex] .

Given polynomial equation is [tex]2x^{2}+7x-3[/tex] which is to be divided by [tex]2x+5[/tex]

In case of division of polynomials we Long division method to calculate final value of the given equation.

For solving given equation let us start from;

[tex]\frac{2x^{2} +7x-3}{2x+5}[/tex] = [tex]x+\frac{2x-3}{2x+5}[/tex]

[tex]x+\frac{2x-3}{2x+5}[/tex] = [tex]x+1 +\frac{-8}{2x+5}[/tex]

[tex]x+1-\frac{8}{2x+5}[/tex]

The final solution for given equation is [tex]x+1-\frac{8}{2x+5}[/tex]

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Answer: I think the answer is 6.70$ or 6.66666667

Step-by-step explanation:6.70 x 3 = 20.1

But You Multiply 6.66666667 x 3 = 20