Factor the polynomial: 6x^2 + x - 35

The square root function involves the square root symbol √ which is  mostly read as "square root of", the rule says that the square root of a number 'x' is a number 'y' such that y² = x.

We know that the square root of a number can be either positive or negative, but while defining the square root function, we restrict its range to be the set of all positive real numbers and hence making all square roots possible to be positive.

If the range for the square root of a number is set to be positive as well as negative it wont be a function that is why there is a restriction to the range of this set allowing only positive real numbers.

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Answer:

1.09 = \(1\frac{9}{100} \)

Qualitative researchers use qualitative analysis computer programs to assign labels or codes to data.

What does qualitative research analysis entail?

The following five categories can be used to categorize qualitative data analysis-

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Answer:

using pythagoras theorem

H^2=P^2+B^2

here h=MN ,opposite(P) be 15 and adjacent(B) be 16

(MN)2=15^2+16^2

(MN)^2=225+256

MN=\(\sqrt{481}\)

MN=21.93

after rounding off MN=21.9

Step-by-step explanation:

Answer:

8 s

Step-by-step explanation:

The time, t it takes the wave to move from its crest highest point to its lowest point is half of its period, T.

That is t = T/2

Given that t = 4 s, and making T subject of the formula, we have

T = 2t

Substituting t = 4 s into T, we have

T = 2t

T = 2 × 4 s

T = 8 s

So, its period is 8 s

Answer:

90%

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

because 3 i less than 4

Answer:

31.4in

Step-by-step explanation:

The formula is [ C = 2πr ].

C = 2π(5)

C = 10π

C = 10(3.14)

C = 31.4in

Best of Luck!

Answer:

\(\displaystyle 31,415926536...\:in.\)

Step-by-step explanation:

The radius is half the diametre, so double 5 to get this:

\(\displaystyle \pi{d} = C \\ 10\pi = C \\ \\ 31,415926536... = C\)

I am joyous to assist you at any time.

Answer:

A. 9y + 3 = 0

Step-by-step explanation:

To know if a function is linear without graphing it, check if the function is a polynomial of the first degree, because linear functions are polynomials of the first degree. This means that the power of the x-value should be equal to 1.

The only function without this trait is 9y + 3 = 0, so that is our nonlinear function.

hope this helps :)

Answer:

4 and 6

Step-by-step explanation:

Judging by the table and how x = 1 and y = 2, you can estimate that y is twice as much as x.

This is supported by the equation, if you take 2 and multiply it by x (1) and take 3 and multiply it by y (2), then add the 2x1 (2) and 3x2 (6), you should get 8.

To make $3000 selling game tickets, the boys football team needs to sell a combination of adult and student tickets. Solving the system of equations gives the number of adult and student tickets that must be sold 150 adult tickets and 300 student tickets.

The first equation relates the number of adults and students: since there are twice as many students as adults, we can write

b = 2a

where b is the number of students and a is the number of adults.

The second equation relates the revenue from ticket sales to the number of adults and students

8a + 6b = 3000

where 8a is the revenue from adult tickets and 6b is the revenue from student tickets.

Now we can substitute the first equation into the second equation to get

8a + 6(2a) = 3000

Simplifying, we get

20a = 3000

Dividing by 20, we get

a = 150

This means we need to sell 150 adult tickets. Using the first equation, we can find the number of student tickets

b = 2a = 2(150) = 300

So we need to sell 300 student tickets.

Therefore, the boys football team must sell 150 adult tickets and 300 student tickets to reach their goal of making $3000.

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Answer: 182.9

Step-by-step explanation: if the next digit after the tenths place is 5 or higher, you round it up to the next number.

Using the sine ratio, the length of the missing side is: 11.8.

The sine ratio is, sin ∅ = opposite/hypotenuse.

Given the following:

∅ = 24°

Opposite = x

Hypotenuse = 29

sin 24 = x/29

x = (sin 24)(29)

x = 11.8

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Answer:

o really sis/bro hsgsmhsndjd

The given logarithm expression is:

This can be re-written as:

Answer:

x = 12

Step-by-step explanation:

2x + 8 = 32

2x = 24                    Subtract 8 to both sides

x = 12                      Divide 2 to both sides

When an organization with a functional structure diversifies into related product-markets, it generally maintains its functional structure.

In a functional structure, the organization is organized based on specialized functions such as marketing, finance, operations, and human resources. Each function operates independently, and decisions are made within each functional unit. When diversifying into related product-markets, the organization can leverage its existing functional expertise to support the new product lines or markets.

Maintaining the functional structure allows the organization to retain the benefits of specialization and efficiency within each function. It also enables the organization to capitalize on the existing knowledge, skills, and resources of each functional area, ensuring a smoother transition into new product-markets.

This approach minimizes disruption and allows the organization to effectively manage the integration of new product lines while maintaining focus on core competencies. By leveraging the existing functional structure, the organization can adapt and respond to the specific requirements of each product-market while maximizing operational efficiency.

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The average value fave of the function f(x) = x on the interval [0, 16] is 8. This means that if we were to draw the graph of f(x) on this interval, the line y = 8 would be the horizontal line .

To find the average value fave of the function f on the given interval [0, 16], we need to use the formula:

fave = (1/(b-a)) * ∫(a to b) f(x) dx

Here, a = 0 and b = 16, and f(x) = x. So, we have:

fave = (1/(16-0)) * ∫(0 to 16) x dx

= (1/16) * [x^2/2] (from 0 to 16)

= (1/16) * [(16^2)/2 - (0^2)/2]

= (1/16) * [128]

= 8

Therefore, the average value fave of the function f(x) = x on the interval [0, 16] is 8. This means that if we were to draw the graph of f(x) on this interval, the line y = 8 would be the horizontal line that divides the area above the graph from the area below the graph into two equal parts.

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Sal sold 7 pairs of type a socks and 9 pairs of type b socks

Let the number of type a socks sold by Sal be x

Let the number of type b socks sold by Sal be y

The selling price of type a socks = 45

The selling price of type b socks = 30

Total pairs sold = 16

Total income = 585

Therefore, the equations will be

x + y = 16-------(1)

45x + 30y = 585--------(2)

Multiplying equation (1) by 30 we get

30x + 30y = 480 ------(3)

Equating equations (2) and (3) we get,

15x = 105

x = 7

Putting x = 7 in (1) we get

y = 9

Sal sold 7 pairs of type a socks and 9 pairs of type b socks  

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Answer:

So first we need to determine what the exponential growth function would look like.  Exponential growth functions look like \(P(t) = P_0*e^{r*t}\) and in our case \(P_0\) would be the initial population which is 5.68 million.  R is the next variable that we need to fill out which is the rate of change which in our case is 2.99% or 0.0299.

This is how our function should look now \(P(t)=5.68*e^{0.0299*t}\)

Moving onto part b, we need to estimate the population of the city in 2018 which 6 years from 2012 and we plug that into t and solve.

\(P(t)=5.68*e^{0.0299*6}\)

\(P(t)=5.68*e^{0.1794}\)

\(P(t) = 5.68*1.1965\)

\(P(t) = 6.796\ million\)

Moving onto part c, we need to find when the population of the city will be 11 million which will be done by setting P(t) to 10 million and solving for t.

\(10 = 5.68*e^{0.0299*t}\)

\(\frac{10}{5.68} = \frac{5.68*e^{0.0299*t}}{5.68}\)

\(1.76056=e^{0.0299*t}\)

\(ln(1.76056)=ln(e^{0.0299*t})\)

\(\frac{0.5656}{0.0299}=\frac{0.0299*t}{0.0299}\)

\(18.9175\ years = t\)

Moving onto part d, we need to find the doubling time.  This will be similar to the previous part but we will be finding the time it takes to double our population.  So instead of putting 10 million for P(t) we put 5.68* 2 in there which is 11.36.

\(11.36= 5.68*e^{0.0299*t}\)

\(\frac{11.36}{5.68} = \frac{5.68*e^{0.0299*t}}{5.68}\)

\(2=e^{0.0299*t}\)

\(ln(2)=ln(e^{0.0299*t})\)

\(\frac{0.693}{0.0299}=\frac{0.0299*t}{0.0299}\)

\(23.182\ years = t\)

Hope this helps!  Let me know if you have any questions

Answer:

Yess

Step-by-step explanation:

There are infinitely many even integers that are divisible by 5.

By considering how any even integer can be represented as 2m, where m is an integer, it becomes evident that if 2m happens to be divisible by 5, then m will also have this quality because 5, which is a prime number, cannot divide into 2.

As a result, all even integers that aredivisible by 5 can be expressed in the format of 10n, with any n being acceptable. Examples of such numbers include:

0 (from 10 x 0 = 0)

10 (from 10 x 1 = 10)

-10 (through 10 x -1 = -10)

20 (by evaluating 10 x 2 = 20)

And similarly when exploring negative values:  

-20 (since 10 x -2 = -20), and so on.

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Answer: 40 weeks

Step-by-step explanation:

so you got 2500 you subtract the 500 because that was her saving so you got 2000 left then you divide 2000 by 50 and you'll get 40

Answer:

I believe the answer is

Step-by-step explanation:

C...

Answer:

Yes they’re independent.

Step-by-step explanation:

the area inside the curve R is approximately 42.4115 square units.

To find the area inside the curve R, we can use a double integral. The formula for finding the area of a region using a double integral is:

A = ∬R dA

where A is the area of the region R, and dA is an infinitesimal element of area in the region R.

In polar coordinates, dA can be expressed as:

dA = r dr dθ

where r is the radius and θ is the angle.

Substituting this into the formula for the area, we get:

A = ∫₀^2π ∫₀^(5+sinθ) r dr dθ

We can evaluate this integral by integrating first with respect to r and then with respect to θ:

A = ∫₀^2π [1/2 r²] from 0 to (5+sinθ) dθ

A = ∫₀^2π 1/2 (5+sinθ)² dθ

Expanding the square and simplifying, we get:

A = ∫₀^2π 1/2 (25 + 10sinθ + sin²θ) dθ

A = 1/2 ∫₀^2π (25 + 10sinθ + sin²θ) dθ

Using the trigonometric identity sin²θ = (1-cos2θ)/2, we can simplify this to:

A = 1/2 ∫₀^2π (25 + 10sinθ + 1/2 - 1/2cos2θ) dθ

A = 1/2 ∫₀^2π (27/2 + 5sinθ - 1/2cos2θ) dθ

Integrating each term separately, we get:

A = 1/2 [27/2θ - 5cosθ + 1/4sin2θ] from 0 to 2π

A = 1/2 [(27/2)(2π) - 5cos2π + 1/4sin2(2π) - (27/2)(0) - 5cos0 + 1/4sin0]

A = 1/2 (27π)

A = 13.5π

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Answer:

Step-by-step explanation:

43)

5x + 7 = 2x - 2

3x = -9

x = - 3

44)

2x - 5 = 5x + 1

-3x = 6

x = -2

45)

5x - 6 = -x + 3

6x = 3 + 6

6x = 9

x = 3/2 (or 1.5)

43.

a. 5x + 7 = 2x - 2

   3x = -9

   x = -3

b. 3x + 2 = x - 10

   2x = -12

   x = -6

44.

a. 2x - 5 = 5x + 1

   -6 = 3x

   x = -2

b. 3 - 7x = 3x + 2

   1 = 10x

   x = 0.1

45.

a. 5x - 6 = -x + 3

   6x = 9

   x = 2/3

b. 2x - 1/3 = 1

   2x = 1 1/3

   x = 2/3