can you please solve this practice problem for me I really need assistance.find the y-intercept.

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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It would take 41.5 to get to the top of its path if the rocket is launched straight up and it takes 83 seconds to hit the ground by solving through finding speed.

Given that the time that rocket took to hit the ground is 83 seconds.

We are required to find the time that it took the rocket to get to the top of its path.

Suppose the height from the ground is h.

To cover the distance of 2h it would take 83 seconds.

We know that speed=Distance/time

Speed=2h/83

So, to cover the distance of h, the time will be :

Time=Distance/Speed

=h/2h/83

=(h*83)/2h

=83/2

=41.5

Hence it would take 41.5 to get to the top of its path if the rocket is launched straight up and it takes 83 seconds to hit the ground by solving through finding speed.

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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 -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

Answer:

Step-by-step explanation:

Given:

The polynomial is,

Factor the polynomial,

Answer:

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

Answer:

Y=6.3 and X=-3.15

Step-by-step explanation:

Plug in 0 for x and y in separate equations

-6(0)+3y=18.9

3y=18.9

3/3y=18.9/3

y+6.3

-6x+3(0)=18.9

-6x+18.9

-6/-6x+18.9/-6

x=-3.15

The expression is:

f(-2) = 23, f(3) = 5, f(4) = 5, f(6) = 5, f(9) = -3

The function is

f(x) = 5x² + 3  x< 3

     = 5           3≤x ≤ 6

     = 6-x        x>6

a) f(-2) for x<3

So we have 5x² + 3

5(-2)² + 3

= 5 × 4 + 3

= 20 + 3

= 23

b) f(3)

as the range is 3≤ x ≤6

for which we have a value 5

So f(3) = 5

c) f(4)

As the range is 3≤ x ≤ 6 for which the value is 5.

So f(3) = 5

d) f(6)

As the range is 3≤ x ≤ 6

So the value is 5

f(6) = 5

e) f(9)

The range is x>6 for this we have 6-x

So 6-x

= 6 - 9

= -3

Therefore the value of the function is f(-2) = 23, f(3) = 5, f(4) = 5, f(6) = 5 and f(9) = -3.

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Step 1

Given;

Hence the equation from the question will be;

Hence, the answer will be;

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

Therefore, the system of equations has one solution

P = 5n - 200

where

P: profit

n: number of pairs of earrings sold.

To find how many pairs of earrings must Lena sell to earn a profit of $450, we have to replace P = 450 into the equation and solve for n, as follows:

450 = 5n - 200

200 is subtracting on the right, then it will add on the left

450 + 200 = 5n

650 = 5n

5 is multiplying on the right, then it will divide on the left

650/5 = n

130 = n

Lena must sell 130 pairs of earrings to earn a profit of $450.

Part a: will earn the smallest amount of interest at 321.2 when 8030 is invested for 2 years at 2%

We will use the formula for all the parts:

Simple interest is interest that is simply charged on the principal amount, which is the original amount borrowed or deposited. The interest charge will only be applied once, regardless of how frequently it is applied.

Simple interest = P*R*T/100

where P = principal amount invested

R = rate of interest

T = time in years

Part a:

Simple interest = 8030*2*2/100

= 321.2

Part b:

Simple interest = 1901*8*4/100

= 608.32

Part c:

Simple interest = 5330*6*2/100

= 639.6

Part d:

Simple interest = 3970*6*4/100

= 952.8

Although a part of your question is missing, you might refer to this full question: Which of the following investments will earn the smallest amount of interest? a. $8,030, invested for 2 years at 2.0% interest b. $1,901, invested for 8 years at 4.0% interest c. $5,330, invested for 6 years at 2.0% interest d. $3,970, invested for 6 years at 4.0% interest

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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.

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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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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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

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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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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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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we can calculate two points in order to know what graph corresponds to the equation

when a=0

1.2p=600

p=600/1.2

p=500

the point is (0,500) red point

when b=0

0.8a=600

a=600/0.8

a=750

the point is (750,0) green point

the answer is B

Direct Variation

If y varies directly with x, then they are related by the equation:

y = kx

Where k is a constant called the proportionality factor.

It's given that y = -38 when x = 19. Substituting those values in the equation, we can find the value of k:

-38 = k*19

Dividing by 19:

k = -38 / 19

k = -2

Now our model is complete:

y = -2x

Now it's required to find the value of x when y = -4. Substituting:

-4 = -2x

Dividing by -2:

x = -4 / (-2)

x = 2

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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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:

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).

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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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;

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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