Use the information to find a linear algebraic equation model to use to answer the question being asked. When typing your answers do not include any spaces between your characters.Meya and Eric are joking that their combined ages equal Sam’s age. If Meya is twice Eric's age and Sam is 69 yr old, what are Meya and Eric's ages?Let m= Meya's ageLet e= Eric's ageWhat equation can we make to represent the relationship between Meya's and Eric's ages? AnswerUse your relationship from the question above to create an equation to find Meya and Eric's ages: AnswerMeya's age is AnswerEric's age is Answer

Answer: Reciprocals

Explanation isn't really needed but reciprocals are basically
Example:

3/4's reciprocal is 4/3 and multiplying 3/4 x 4/3 = 1

When a=5 , b=6 , c=36, the value of y will be 50.

Here, we are given that y varies jointly as a and b and inversely as the square root of c.

⇒ y ∝ ab/[tex]\sqrt{c}[/tex]

Let k be a constant, then we can say that-

y = kab/[tex]\sqrt{c}[/tex]

We are given that y = 54 , a = 3 , b = 9 , and c = 25.

substituting these values in the above equation, we can calculate the value of k as follows-

54 = (k*3*9)/[tex]\sqrt{25}[/tex]

54 = 27k/5

54*5 = 27k

270 = 27k

27k = 270

k = 270/27

k = 10

Now, when a=5 , b=6 , c=36, the value of y will be-

y = (10*5*6)/[tex]\sqrt{36}[/tex]

y = 300/6

y = 50

Thus, when a=5 , b=6 , c=36, the value of y will be 50.

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5) x = 8

cross multply:

divide both sides by 3:

We must find the difference between the following polynomials:

The difference between the polynomials is obtained by subtracting the coefficient of terms with equal power of y:

3y² - y - 13

Given:

The polynomial is,

Factor the polynomial,

Answer:

Let the function in which "y" varies directly with "x" be y = kx where "k" is the proportionality constant and y ∝ x

As per the question statement, We are supposed to write any function in which "y" varies directly with "x" i.e., y ∝ x

Let's say y = kx be the function where "k" is the proportionality constant and y ∝ x.

Now let x = 3 and y = 6, so 6 = k*3

or k = 3

Hence for any value of "x" value of "y" would be k times the value of x and this is called the direct proportion relationship.

Hence,  the function in which "y" varies directly with "x" be y = kx where "k" is the proportionality constant and y ∝ x

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The -2 multiplies each every term in the brackets. meaning -2 will multiply 5x and also 3y

[tex] = - 2(5x) - 2(3y) \\ = - 10x - 6y[/tex]

OPTION C MATCHES AS THE SOLUTION.

GOODLUCK

Value of x will be 0.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. Based on the degree, there are three different sorts of equations. Equations that are linear, quadratic, and cubic. In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.

Given Data

3-4x+5=2(8-2x)

3 - 4x + 5 = 16 -4x

3 + 5 -16 = -4x+4x

-8 = 0

Value of x will be 0.

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Answer:

33

Step-by-step explanation:

you are scamming everyone. why?

Answer:

The number of positive solutions to this equation is;

The approximate value of the greatest solution to the equation is;

Explanation:

Given the equation;

Let us subtract 21 from both sides;

We can now solve for x using the quadratic formula;

from the equation;

substituting;

so, we have;

Therefore, the number of positive solutions to this equation is;

The approximate value of the greatest solution to the equation is;

The solution is 38x+49y<9,900 of investing in the stock market.

The idea of inequality can be used to understand this query.

Let x represent the number of stocks purchased in software firms, and y represents the number of stocks purchased in robotics companies.

$38 was placed in one software company stock.

$ was placed in one robotics firm's stock.

Total investment in the equity of the software company = 38*x

Cost of robotics firm stock as a whole: 49*y

Therefore, the overall cost should be lower than 9,900.

As a result, the equation is

38x+49y<9,900.

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ANSWER

50

EXPLANATION

We want to know how many thousands there are in 50,000

To do this, we have to find what we will multiply by 1000 to get 50,000

That is:

The answer is 50.

The perimeter of the triangle is 16.8 cm.

So, the perimeter of the triangle:

Now, substitute the values in the formula as follows:

Therefore, the perimeter of the triangle is 16.8 cm.

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the statement that does not represent a valid arguement is,

Everyone who went to the football game cheered.

Maria cheered.

Maria went to the football game.

The formula for amount of the coupon is given by n = m - a.

This question can be solved using simple Linear equation. A linear equation may be defined as an expression which can be written in the form y = ax + b where a, b are coefficients and x, and y are independent and dependent variables respectively. According to question we have a formula a = m - n where a is the actual cost, m is original price and n is coupon discount. The actual cost of an item will depend on the coupon discount as well as the original cost of the item. To find the coupon amount from the formula we rearrange the equation as

a = m - n

a - m = -n

=> n = m - a which will be the required formula.

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All the solutions of the equation y=2x can be represented by the points in the straight line.

We are given an equation. The equation is linear in nature. The equation is given below :

y = 2x

An equation is a mathematical statement that includes the sign 'equal to' between two expressions with equal values.

We can see that the equation is a straight line. A line is an endlessly long object with no breadth, depth, or curve in geometry. Lines are thus one-dimensional objects, even if they can exist in two, three, or higher dimensions. All the solutions to the equation can be represented by the coordinates of the points that satisfy the equation of line. The graph is attached below.

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Step 1

Given;

Hence the equation from the question will be;

Hence, the answer will be;

We need to solve the following equation by completing the square:

we first pass the 9 to sum in the right side

now we add 4 in both sides of the equation, because (4/2)^2=4, obtaining

simplifying

then

adding 2 in both sides of the equation we have that the solution is:

(9x+7=10x-10)

All terms are shifted to the left:

(9x+7-(10x-10))=0

Parentheses are used to compute terms: +(9x+7-(10x-10)), so:

9x+7-(10x-10)

the Function Domain determination

9x-(10x-10)

+7

We eliminate parenthesis.

9x-10x+10+7

All the numbers and variables are added together.

-

1x+17

Returning to the equation

+(-1x+17)

We eliminate parenthesis.

-1x+17=0

We shift every term that contains x to the left and every other term to the right.

-x=-17 \sx=-17/-1 \sx=+17

How can you determine an equation's degree?

The degree of a term in the polynomial expression is expressed as a + b if a and b are the exponents of the many variables in a term.

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Let's begin by identifying key information given to us:

Therefore, the system of equations has one solution

Answer:

30 words per minute

Step-by-step explanation:

Answer:

30 words

Step-by-step explanation:

her typing speed is 150 words for 5 minutes.
Since we know that she can type 5 times as much in 5 minutes than in 1 minute, we know that 150 words is 5 times as much as she would be able to type in 1 minute. The question that should be asked is "5 times what would equal 150?" The answer would be 30 words.

Shorter answer: 150 words / 5 minutes = 30 words/minute

The simplified expression of the equation given as (x² - 16)/(x² -2x - 3) ≤ 4 is 3x² -8x + 4 ≥ 0

From the question, we have the following parameters

(x² - 16)/(x² -2x - 3) ≤ 4

Multiply both sides of the expression by (x² -2x - 3)

So, we have the following representation

(x² -2x - 3) *  (x² - 16)/(x² -2x - 3) ≤ 4 * (x² -2x - 3)

Evaluate the products in the above expression

So, we have the following equation

(x² - 16) ≤ 4 * (x² -2x - 3)

Open the brackets

This gives

x² - 16 ≤ 4x² -8x - 12

Collect the like terms in the above expression

So, we have the following equation

0 ≤ 3x² -8x +4

Rewrite the expression as

3x² -8x + 4 ≥ 0

Hence, the simplified expression of the equation is 3x² -8x + 4 ≥ 0

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Increasing order :

1)  14.78 , 14.8 , 25.5 , 32.32 , 46.1

2) 9.32 , 9.67 , 16.49 , 37.44 , 37.91

What is ascending order ?

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

If one of the pedestrian deaths is randomly selected.

Find the probability that the driver was not intoxicated but the pedestrians were.

We are expected to enter 4 decimal places.

Now, from the table, we can see clearly that:

CONCLUSION:

The final answer is 0. 2528 ( 4 decimal places).

Using exponential functions, it is found that:

a) Lisa's account has $489 after 3 years.

b) Xavier's account has $493 after 3 years.

c) The difference is of $4.

According to the following principle, an exponential function is modelled where the following description of the parameters is given:

Lisa's function is already given, while for Xavier's, the parameters are given as follows:

a = 200

b = 270/200

= 1.35

g(x) = 200 × [tex]1.35^{x}[/tex]

In 3 years, the amounts in each account will be given by the numeric values of the functions as follows:

Lisa = f(3)

= 250 (1.25)³

= 489$

Xavier = f(3)

= 200 (1.35)³

= 493$

The positive difference is given by the subtraction of the greater amount by the lesser amount, hence:

493 - 489 = 4$

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Given data:

The given inequality is 2> -3t-10.

The given inequality can be written as,

Thus the value of t is (-4, ∞), and it is open interval.

Answer:

Step-by-step explanation:

1.- 3(x - 2) = 15

Solve for x 3(x - 2)/3 = 15/3

Simplifying x - 2 = 5

(x - 2) = 15/3

(x - 2) = 5

x - 2 = 5

x = 5 + 2

x = 7

Check. Substitute the value of x in the original equation and solve it

3(7 - 2) = 15

3(5) = 15

15 = 15 As the two value are the same, the solution of x is

correct.

2.- 4y + 9 - 7y = -6

Solve for y

Simplify like terms

4y - 7y + 9 = -6

- 3y + 9 = -6

-3y = -6 - 9

-3y = -15

-3y/-3 = -15/-3

y = 5

Check

4(5) + 9 - 7(5) = -6

20 + 9 - 35 = -6

29 - 35 = -6

-6 = -6 The solution is correct because both numbers are the same.

The percentage of men meeting the height requirement is 5.93%.The new height requirements are a minimum of 61.7 inches  and a maximum of  67.6 inches.

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities. A measure of how likely something is to happen is called a probability. It gauges how likely the occurrence is to occur. The probability equation reads as follows: P(E) = Number of Favorable Outcomes/Total Outcomes.

For mean deviation of women

σ = 3.8

μ = 63.6

For mean deviation of men

σ = 3.6

μ = 67.6

The probability  for men

= 5.93%

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The length and width of the rectangular pool are respectively; Length = 22 meters and Width = 17 meters

Area of the pool which is a rectangle has the formula;

A = Length(L) * Width(w)

Let the width of the pool = x

Then the length will = (x + 5)

Since the walkway is 3 meters wide, It means that the overall dimensions will be (x + 6) by (x + 5 + 6) or (x + 11)

Total area - pool area = 270

Thus;

(x + 11) * (x + 6) - x(x + 5) = 270

x² + 11x + 6x + 66 - x² - 5x = 270

17x - 5x + 66 = 270

12x + 66 = 270

12x = 270 - 66

x = 204/12

x = 17

Length of pool = x + 5 = 17 + 5 = 22 meters

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