Find the zeros of the function f(x)=x^2-2x-3 to the nearest hundredth.

Answer:

125.

Given:

Step-by-step explanation:

As given in the question that the ratio is already given,

therefore,

1. The ratio of tourist of to locals

the ratio of tourist to local is 4:5

\(\frac{tourist}{locals}\)=\(\frac{4}{5}\)

2. Attendance of locals at the opening

here are 100 tourist at the opening

\(\frac{100}{locals} =\frac{4}{5}\)

locals= 125

locals are 125 in attendance.

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125 is the attendance of locals

The ratio of tourists to locals is 4:5

Tourists / Locals = 4 / 5

There are 100 tourists at the opening of the new museum

100 / locals = 4/5

locals = 500/4

locals = 125

The attendance of locals is 125.

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The probability of getting the numbers whose product is greater than 10 is 0.73.

Given that there are 10 numbers from which Krishanu and Shanunk choose numbers.

We are required to find the probability that the product of the numbers will be more than 10.

Probability is basically the likeliness of happening an event among all the events possiible.It cannot be negative.

Total outcomes possible=(1,1)(1,2)........(1,10),(2,1),(2,2)................(2,10),(3,1),(3,2).......(3,10),(4,1),(4,2)..........(4,10),(5,1),(5,2)..(5,10),(6,1),(6,2),.............(6,10),(7,1),(7,2),.......(7,10),(8,1),(8,2),...........(8,10),(9,1),(9,2),..............(9,10),(10,1),(10,2)............(10,10).

Combinations that gives the product greater than 10=(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,3),(4,4),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,3),(5,4),(5,5),(5,6),(5,7),(5,8),(5,9),(5,10),(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),(6,8),(6,9),(6,10),(7,2),(7,3),(7,4),(7,5),(7,6),(7,7),(7,8),(7,9),(7,10),(8,2),(8,3),(8,4),(8,5),(8,6),(8,7),(8,8),(8,9),(8,10),(9,2),(9,3),(9,4),(9,5),(9,6),(9,7),(9,8),(9,9),(9,10),(10,2),(10,3),(10,4),(10,5),(10,6),(10,7),(10,8),(10,9),(10,10),

Number of total combinations=10*10=100

Number of combinations that gives product greater than 10=73

Probability of getting the numbers whose product is greater than 10=73/100

=0.73

Hence the probability of getting the numbers whose product is greater than 10 is 0.73.

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Answer:

The function is decreasing for x > -1

Step-by-step explanation:

If the taxpayer and his wife has to file the income tax return jointly , then they will fall into 25% tax bracket .

A tax return is a form submitted to a tax authority that reports income, expenses, and other relevant tax information. Taxpayers can use tax returns to calculate their tax liability, schedule tax payments, and request a refund of overpaid taxes. Most jurisdictions require annual tax returns for individuals or entities with reportable income including wages, interest, dividends, capital gains, or other income.

To Find:

The tax payer and his wife tax return jointly, which tax bracket will they fall into.

Given :-

A taxpayer had a taxable income of $42,700, and his spouse had a taxable income of $48,100.

If they wish to file their tax return jointly then

$42,700 + $48,100 = $ 90,800

In married filling jointly table

The combine salary $90,800  lies between $67,900 - $ 137,050

so, the tax bracket is 25%

Therefore, they fall into 25% tax bracket.

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To find the prime factors of 6, the process is as follows: 6 / 2 = 3; 3 cannot be divided by 2 any further, so 2 is a prime factor of 6. 3 / 3 = 1; 1 cannot be divided any further, so 3 is also a prime factor of 6.

Therefore, the prime factors of 6 are 2 and 3. This is known as the prime factorization of 6, which is expressed as 2 x 3.

The prime factorization method is a way to break down a number into its prime factors. This is done by dividing the number by the smallest possible prime factor and then continuing the process with the resulting number until it can no longer be divided by any prime number.

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Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)

From the graph, the solution  of the equation x³ + 5x² – x – 7 = x² + 6x + 3 is

Find the graph in the attachment

A graph is a pictorial representation of a function.

To find the solution of the equation x³ + 5x² – x – 7 = x² + 6x + 3. by using a graphing calculator. We proceed as follows.

First, we simplift the expression.

x³ + 5x² – x – 7 = x² + 6x + 3

Subtracting x² from both sides, we have that

x³ + 5x² - x² - x - 7 = 6x + 3

x³ + 4x² - x - 7 = 6x + 3

Subtracting 6x from both sides, we have that

x³ + 4x² - x - 7 = 6x + 3

x³ + 4x² - x - 6x - 7 = 6x - 6x + 3

x³ + 4x² - 7x - 7 =  3

Subtracting 3 from both sides, we have that

x³ + 4x² - 7x - 7 - 3 =  3 - 3

x³ + 4x² - 7x - 10 = 0

So, the solution to this equation is the solution of the equation.

So, we plot the graph of x³ + 4x² - 7x - 10 = 0

From the graph, the solution is

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Answer:

y=x+3

Step-by-step explanation:

Answer:

im not sureee

Step-by-step explanation:

srry

Answer:

12

Step-by-step explanation:

r= 56°

P=40°

c=14°

m=56°

Hope it helps you....

This equation is m = (y2 - y1) / (x2 - x1).

To determine the equation representing Aziz's earnings in terms of the number of lawns he mows, we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b

where y represents the earnings (in dollars), x represents the number of lawns, m represents the slope, and b represents the y-intercept.

To find the equation, we need to determine the values of m and b based on the given points. Looking at the graph, we can see that when Aziz mows 0 lawns, his earnings are $0. Therefore, the y-intercept is 0.

Now, let's calculate the slope (m) using the points (1, 18) and (0, 0):

m = (y2 - y1) / (x2 - x1)

m = (18 - 0) / (1 - 0)

m = 18 / 1

m = 18

Now, we can plug the values of m and b into the equation:

e = 18n

Therefore, the equation representing Aziz's earnings (e) in terms of the number of lawns (n) he mows is:

e = 18n

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Answer: A) 3\8

Explanation..

A-0.375

B-0.6666...

C-0.6666...

D-0.777777...

A terminating decimal is a decimal with an end-digit

Also a repeating decimal is a decimal (that repeats)

Ex. 3.8767676767..

Answer:

35/12

tan Q = 12/35

so cotan Q = 35/12

Colette had done 6 manicures in the past year.

Given,

Number of manicures mom had done in the past year = 5 for every 3 done by Colette, k = (5 - 3) = 2

Number of manicures more than Colette had mom done, a = 4

We have to find the number of manicures done by Colette in the past year;

Let x be the number of manicures done by Colette.

Here,

a/x = k/3

4/x = 2/3

2x = 12

x = 12/2

x = 6

That is,

Colette had done 6 manicures in the past year.

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Answer:

Step-by-step explanation:

All triangles without exception, have 3 angles that add to 180o.

You know two of them. The statement above will help you get the third.

35 + 33 + x = 180                Combine the left

68 + x = 180                        Subtract 68 from both sides.

x = 180 - 68

x = 112

Answer: The value of x is 112

Step-by-step explanation:

add the two values given: 35+33= 68

then subtract 68 from 180 (sum of angles is 180°) = 112

112+35+33= 180

The volume of the given 3 - D figure is 156.36 cubic inches.

A volume is a collection of a three dimensional coordinate points enclosed by a two dimensional coordinate points.

Given is the 3 - D figure as shown in the image.

We can write the volume as -

V = πr²h/3 + lbh

V = (3.14 x 3 x 3 x 8)/3 + (9 x 9 x 1)

V = 156.36 cubic inches

Therefore, the volume of the given 3 - D figure is 156.36 cubic inches.

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Answer:-1

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

the line pass through (-3,-6)

Answer:

20x-104 is your answer! hope this helps lol

Step-by-step explanation:

The fractional part of s that is the sum of the odd-numbered terms is \[\frac{1-r}{1+r}\]

Let us consider an infinite geometric series of positive terms that converges to s.

Therefore, we know that the sum of the series is given by  \[s=\frac{{{a}_{1}}}{1-r}\]

where a1 is the first term of the series and r is the common ratio of the series.

Now, we need to find the fractional part of s, which is the sum of the odd-numbered terms.

Let's say the sum of odd-numbered terms is t.

Then, we have:\[\begin{aligned}t&={{a}_{1}}+{{a}_{3}}+{{a}_{5}}+{{a}_{7}}+...\\&={{a}_{1}}+{{a}_{1}}{{r}^{2}}+{{a}_{1}}{{r}^{4}}+{{a}_{1}}{{r}^{6}}+...\end{aligned}\]

We can observe that t is an infinite geometric series with the first term a1 and common ratio r2.

Therefore, we know that the sum of t is given by \[t=\frac{{{a}_{1}}}{1-{{r}^{2}}}\]Now, we need to find the fraction of s, which is given by \[\frac{t}{s}=\frac{\frac{{{a}_{1}}}{1-{{r}^{2}}}}{\frac{{{a}_{1}}}{1-r}}=\frac{1-r}{1+r}\]

Hence, the fractional part of s that is the sum of the odd-numbered terms is \[\frac{1-r}{1+r}\]

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Answer:

Both of them would be D!

Step-by-step explanation:

Hope this helps, sorry if I am wrong.

Answer:

  Student 1

Step-by-step explanation:

In order to accomplish the next step of construction PS║QR, the angle LQM must be copied to make angle NPT. That is done by drawing arc NT (centered at P) so it has the same (chord) length as arc LM.

This step is only accomplished by Student 1.

Answer:

The answer is 94.5

Step-by-step:

This is actually quite simple. Although, in order to do this you will need a calculator. First, you identify which trigonomic function you will use in order to find the value of x. for this problem you need to use the COS function. The equation for this is COS67= 67/x. Because you are trying to find x you would multiply each side by x. now the equation is xCOS67= 67. because you still can't find the value of x by doing this you will need to get x by itself. To get x by itself divide each side by COS67. the equation is now x= 94/ COS67. This is where the calculator comes in. On the calculator enter 94 divided by 67 then COS function. This gives you the measure of RS.

Answer:

45mph

Step-by-step explanation:

9514 1404 393

Answer:

  yes

Step-by-step explanation:

For some integer n, the squirrel lands on numbers that are ...

  5n +6

We want to see if n is an integer when ...

  5n +6 = 101

  5n = 95

  n = 19 . . . . yes, an integral number of jumps will get the squirrel to 101

The Correct option is option (A) . Using the minimization , the dimensions of rectangular garden are 30 feet and 15 feet .

We have given that ,

Area of rectangular garden (A) = 450 sq. feet

we trying to minimize L, the length of fencing. Since , one side of the fenced area is covered by the barn, we have got to make two sides perpendicular to the barn plus one side parallel to the barn.

Suppose the length of the perpendicular side be x and the length of the parallel side be y.

Thus, A = x × y = 450 sq. feet --(1)

x + x + y = L --(2)

from (1) , y = 450/x

putting this value in equation (2) we get,

2x + 450/x = L

Now , minimize the L by taking its first derivative with respect to t and then put dL / dt = 0

dL /dx = 2 - 450/x^2

2- 450/x^2 = 0 => 450/x^2 = 2

=> x^2 = 450/2 = 225

taking square root both sides,

=> x = +-√225 = 15 or -15

but sides of any geometry never be negative

so, x = 15 put this x in equation (2)

=> y = 450/15 = 30

Hence , the dimensions of rectangular garden are (15, 30).

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