You are given space that limit as h rightwards arrow 0 of fraction numerator g (3 + h) - g (3)/h = 7 and g (3) = 9. Find m and b so that the tangent space line of g (x) at x = 3, y = m x +b.

The coefficient of q is -1/12

What is coefficient?

A coefficient refers to a number or quantity placed with a variable. It is usually an integer that is multiplied by the variable and written next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient.

Now, Come to the question:

To find the coefficient of q

\((\frac{2}{3q}-\frac{3}{4}) +(\frac{-1}{6} -2)\)

Taking L.C.M

\((\frac{8-9}{12} )q + (\frac{-1-12}{6} )\\\\(\frac{-1}{12} )q + (\frac{-13}{6} )\)

Hence, The coefficient of q is -1/12

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Answer:

5 2/10 or 520%

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

Step-1 :

Multiply the coefficient of the first term by the constant   1 • 28 = 28  

Step-2 :Find two factors of  28  whose sum equals the coefficient of the middle term, which is   -16 .

-28 +   -1  =  -29  

-14 +  -2 =  -16  

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  -2

x2 - 14x - 2x - 28

Step-4 : Add up the first 2 terms, pulling out like factors :

          x • (x-14)

 Add up the last 2 terms, pulling out common factors :

          2 • (x-14)

Step-5 : Add up the four terms of step 4 :

     (x-2)  •  (x-14)

Answer:

x=14

Answer:

  C)  18

Step-by-step explanation:

Let x represent the largest of the five consecutive integers. Then (x -4) is the smallest, and the sum of the five of them is ...

  sum = 5((x +(x -4))/2 = 5x -10

That sum is 46 less than 9 times the smallest.

__

This relation can be written as ...

  5x -10 = 9(x -4) -46

  72 = 4x . . . . . . . . . . . . add 82-5x and simplify

  18 = x . . . . . . . . . divide by 4

The largest of the consecutive integers is 18.

_____

Additional comment

Here, we have used the variable to represent what the problem is asking for--the largest of the integers. Often, in consecutive integer problems, it is convenient to let a variable represent the middle (or average) value of the consecutive integers. If we do that here, then sum of the 5 integers would be 5x, and the relation to find x would be ...

  5x +46 = 9(x -2)

This resolves to 64=4x ⇒ x=16, so the largest integer is x+2=18. The number of steps is about the same, but the sum is easier to find, and there aren't as many constant terms to play with in solving for x.

Answer:

Abid

Step-by-step explanation:

300/5=60

60x6=360

neil -360

abid- 375

Answer:

The Distance is 10

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Because the 2 represents 2,000 when you do 2,00o times the 20 in the answer, you get 40,000, and the 4 in the number 42,317 represents 40,000.

Answer:

I got A and it was right

Step-by-step explanation:

The "Previous Balance Method" seems to be the one that aligns with the provided information.

Given that:

Beginning balance on 6/1: $265.40

Payment on 6/6: $90.00

Purchase on 6/16: $43.33

Purchase on 6/22: $37.71

They have also given the finance charge for June, which is $3.56.

The different methods according to the options are:

a. Daily Balance Method: This method calculates the finance charge based on the daily balance throughout the billing cycle. It takes into account daily changes in the balance due to transactions and payments.

b. Adjusted Balance Method: This method calculates the finance charge based on the adjusted balance at the end of the billing cycle. The adjusted balance is the beginning balance minus any payments made during the billing cycle.

c. Previous Balance Method: This method calculates the finance charge based on the previous month's balance, regardless of any payments made during the current billing cycle.

Based on the given information, we don't have the exact daily balances or the specific date of the finance charge calculation. However, we know the finance charge for the entire month of June is $3.56.

Out of the three methods, the "Previous Balance Method" seems to be the one that aligns with the provided information. It calculates the finance charge based on the previous month's balance, which would include the beginning balance on 6/1 and any outstanding balance from previous months.

So the correct answer is option C, Previous Balance Method.

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Answer:

11. False. 16≠ 64

12. True

13. True

14. False. 16≠8

15. 4(x-5) ,

6x+3

On solving the provided question, we can say that from the given graph, it is shown that it is a starlight line so the equation that represents is x = y => x-y = 0

Mathematicians use graphs to logically convey facts or values using the visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

here, from the given graph

it is shown that it is a starlight line

so the equation that represents is x = y

x-y = 0

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Answer:

The 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night is (0.133, 0.161).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

For this problem, we have that:

\(n = 2305, \pi = \frac{339}{2305} = 0.147\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.147 - 1.96\sqrt{\frac{0.147*0.853}{2305}} = 0.133\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.147 + 1.96\sqrt{\frac{0.147*0.853}{2305}} = 0.161\)

The 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night is (0.133, 0.161).

Answer:

Mabey 102 try that.

Step-by-step explanation:

Hope this helps!

The exchange rate that She will receive is an algebraic expression

The exchange rate that Salma will receive in dollars per euro is \(\frac{12x - 9}{4x -6}\)

The amount of dollars with Salma is given as:

\(Dollar = \frac{12x^2 + 15x - 18}{2x^2 + 14x + 20}\)

The amount of Euro she can buy is:

\(Euro = \frac{2x^2 -x-3}{x^2 + 6x +5}\)

Let the exchange rate be r.

So, we have:

\(Dollar * \frac 1r = Euro\)

The equation becomes

\(\frac{12x^2 + 15x - 18}{2x^2 + 14x + 20}* \frac 1r = \frac{2x^2 -x-3}{x^2 + 6x +5}\)

Factorize the expressions

\(\frac{3(x + 2)(4x - 3)}{2(x + 5)(x +2)}* \frac 1r = \frac{(x +1)(2x -3)}{(x + 5)*x + 1)}\)

Cancel out the common factors

\(\frac{3(4x - 3)}{2}* \frac 1r = \frac{(2x -3)}{1}\)

Make r the subject

\(\frac 1r = \frac{2(2x -3)}{3(4x - 3)}\)

Expand

\(\frac 1r = \frac{4x -6}{12x - 9}\)

Make r the subject

\(r = \frac{12x - 9}{4x -6}\)

Hence, the exchange rate is \(\frac{12x - 9}{4x -6}\)

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Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

Answer:

11.6 ft

Step-by-step explanation:

Use Pyth Th:

3^2 + b^2 = 12^2

9 + b^2 = 144

135 = b^2

11.619 = b

Answer:

\(10 feet^3\)

Step-by-step explanation:

2:1 is the simplified ratio

Answer:

There are 12 face cards and 4 aces in a standard deck, so the probability of drawing a face card is 12/52 = 3/13, the probability of drawing an ace is 4/52 = 1/13, and the probability of drawing any other card is 1 - 3/13 - 1/13 = 9/13.

The expected gain from drawing a face card is $13, from drawing an ace is $6, and from drawing any other card is -$3. Therefore, the expected gain from this game is:

(3/13)($13) + (1/13)($6) + (9/13)(-$3) = $0

This means that over many games, on average, you would neither win nor lose any money playing this game.

The polynomial with the given zeros is:;

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

Remember that if a polynomial has the zeros a, b, c, and d, then we can write it as:

P(x) = K*(x - a)*(x - b)*(x - c)*(x - d)

Where K is a coefficient.

Here the zeros are 0, -1, 1, 3/2

Then we can write:

P(x) =K*(x - 0)*(x + 1)*(x - 1)*(x - 3/2)

P(x) =K*x*(x + 1)*(x - 1)*(x - 3/2)

We also know that when x = -3, P(x) = 300

Then we can write:

300 = K*(-3)*(-3 + 1)*(-3 - 1)*(-3 - 3/2)

300 = K*(-3)*(-2)*(-4)*(-9/2)

300 = K*108

300/108 = K

Then the polynomial is:

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

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Answer:

its pi equals 21 bruh moment squared.

Step-by-step explanation:

The perimeter of the triangle is 30 units

The vertices are (−7,−1), (5,−1), and (5,4).

Start by calculating the distance between the vertices using:

\(d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2\)

So, we have:

\(d1 = \sqrt{(-1 + 1)^2 + (5 + 7)^2\)

d1 = 12

\(d2 = \sqrt{(-1 - 4)^2 + (5 - 5)^2\)

d2 =5

\(d3 = \sqrt{(-1 - 4)^2 + (-7 - 5)^2\)

d3 = 13

The perimeter is then calculated as:

P = d1 + d2 + d3

This gives

P = 12 + 5 + 13

Evaluate

P = 30

Hence, the perimeter of the triangle is 30 units

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Answer:

A.y = −8x + 80B

Step-by-step explanation:

first you have to find the slope :

P1(2,64). P2(6,32)

slope=Y2-Y1/X2-X1

slope=64-32/2-6

slope= -8

y= -8x + b. now solve for "b" by using one of the coordinates given above.

y= -8x + b. I will use coordinate p(2,64)

64= -8(2) + b

64 + 16 = b

80= b

you can use any of the coordinates i.e either P1(2,64)or P2(6,32) it doesn't affect the value of "b".

line of equation is :

.y = −8x + 80B

Answer: y= -8x+80

Step-by-step explanation:

Answer:

48 boys

Step-by-step explanation:

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

Answer:

200

Step-by-step explanation:

The solution for a kite is multiply the two diagonals which in this case are both 20 and then divide the answer by 2

Answer:

3 7/12

Step-by-step explanation:

The five key points of the parent function are:

The function is given as:

y = -2 sin[2(x - 45)] + 1

The above function is a sine function, and the parent function of a sine function is

y = sin(x)

The properties of the above function are:

The transformed function is given as:

y = -2 sin[2(x - 45)] + 1

A sine function is represented as:

y = A sin[Bx + C] + D

Where:

Using the above representations, we have:

See attachment for the graph of the sine function y = -2 sin[2(x - 45)] + 1

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X = 1 4 5 6

Y = 20 8 4 0

From the function: Y = 24 - 4X

If X = 1, then Y = 24 - 4(1) = 20

If X = 4, then Y = 24 - 4(4) = 8

If X = 5, then Y = 24 - 4(5) = 4

If X = 6, then Y = 24 - 4(6) = 0

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Answer:

$40.80

Step-by-step explanation:

$24 for 10

Therefore, divide by 10 to get amount per wing:

$2.40 for 1

Now multiply by 17 to get amount for 17:

$40.80 for 17

Answer:

40.80

Step-by-step explanation:

The sequence of transformations was Triangle ABC was reflected over the y-axis and then translated 2 units up and 2 units to the right.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Rigid transformation is the transformation that does not change the shape or size of a figure. Examples of rigid transformations are translation, reflection and rotation.

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