Is the mean of the following data is 18.75 then find the value of p?

Answer:

[tex]f"'(x) = 2(x-4)^2 - 1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex] --- the quadratic function

Vertically stretched by 2

Translation: [tex]4\ units[/tex] left and [tex]1\ unit[/tex] down

Required

Determine the new function

[tex]f(x) = x^2[/tex]

The rule for vertical stretch is:

[tex](x,y) \to (x,ay)[/tex]

In this case:

[tex]a = 2[/tex]

So, we have:

[tex]f(x) = x^2[/tex]

[tex]f'(x) = a * f(x)[/tex]

[tex]f'(x) = a * x^2[/tex]

Substitute: [tex]a = 2[/tex]

[tex]f'(x) = 2 * x^2[/tex]

[tex]f'(x) =2x^2[/tex]

Translation: 4 units left

The rule is:

[tex](x,y) \to (x - c,y)[/tex]

In this case: [tex]c =4[/tex]

So, we have:

[tex]f"(x) = 2(x - 4)^2[/tex]

Translation: 1 unit down

The rule is:

[tex](x,y) \to (x,y-d)[/tex]

In this case, [tex]d=1[/tex]

So, we have:

[tex]f"'(x) = f"(x) - 1[/tex]

[tex]f"'(x) = 2(x-4)^2 - 1[/tex]

Answer:

Answer with steps........

Answer:

18cm

Step-by-step explanation:

Answer:

The equation of the the line that is perpendicular to 4·x + 6·y = 1 and that has a greater intercept to the line 2·x + 3·y = 18 can be 2·y - 3·x = 14

Step-by-step explanation:

The line which is perpendicular to the required line = 4·x + 6·y = 1

The line with which the required line has a greater intercept = 2·x + 3·y = 18

Solution;

The relationship between the slope, m₁, of a straight line, y = m₁·x + c₁ perpendicular to another straight line, y = m₂·x + c₂, with slope m₂ is given as follows;

m₁ = -1/m₂

Rewriting the equation of the given line in slope and intercept form gives;

4·x + 6·y = 1

6·y = 1 - 4·x

y = 1/6 - 4·x/6 = 1/6 - 2·x/3 =  1/6 - (2/3)·x

∴ y = 1/6 - (2/3)·x

Therefore, the slope, 'm₁', of the line y = 1/6 - (2/3)·x, is m₁ = -(2/3)

The slope of the perpendicular line, is therefore, m₁ = -1/m₂

∴ m₂ = -1/m₁

m₂ = -1/(-(2/3)) = 3/2

The intercept of a straight line of the form y = m·x + c is 'c'

The intercept of the line 2·x + 3·y = 18 is obtained by rewriting the equation of the line in slope and intercept form as follows;

2·x + 3·y = 18

y = 18/3 - (2/3)·x = 6 - (2/3)·x

y = 6 - (2/3)·x = -(2/3)·x + 6

y = -(2/3)·x + 6

By comparing the above equation to the equation, y = m·x + c, we have;

c = 6

The intercept of the line y = -(2/3)·x + 6, which is the same line as 2·x + 3·y = 18 is 6

∴ The intercept of the required line, c₂ > 6

The equation of the required  line in slope and intercept form, y = m·x + c, can therefore be;

y = (3/2)·x + 7

By multiplying by 2, we get;

2·y = 3·x + 14

∴ The equation of the line can be 2·y - 3·x = 14.

Answer:

-11/42, -10/42, 10/42, 11/42, 12/42

Step-by-step explanation:

First of let's find the LCM of the denominators.

LCM of 6 and 7 is 42

Thus, -2/7 can also be expressed in terms of 42 as denominator as; -12/42

Similarly, 5/6 can also be expressed in terms of 42 as denominator as; 35/42

Thus, any five rational numbers could come in the form of the numerator being between -12 to 35 with the denominator being 42.

Thus, five rational numbers between -2/7 and 5/6 are;

-11/42, -10/42, 10/42, 11/42, 12/42

Answer:

5x-3=3x+5

5x-3x=5+3

2x=8

x=8/2

x=4

Therefore,

Value of 2x-8

Substitute the value of x

2(4)-8

8-8=0

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Answer:

ruffles classic + those two bite cupcakes literally best thing to exist

Step-by-step explanation:

Answer:

Honestly, twinkies with twinkies

Step-by-step explanation:

#WhyNot

Answer:

Step-by-step explanation:

8.13<8.4

.004<.05

.4 repeating>.4

Find the coordinates of the point which divides the join of (-1,7) and (4,-3) in the ratio 2:3 ?

Let the given points be A(-1,7) and B(4,-3)

Now,

Let the point be P(x, y) which divides AB in the ratio 2:3

Here,

Where,

[tex] m_1 [/tex] = 2 , [tex] m_2 [/tex] = 3

[tex] x_1 [/tex] = -1 , [tex] x_2 [/tex] = 4

[tex] \therefore [/tex] Putting values we get,

x = [tex] \frac{2 \: × \: 4 \: + \: 3 \: × \: -1}{2 \: + \: 3} [/tex]

x = [tex] \frac{8 \: - \: 3}{5} [/tex]

x = [tex] \frac{5}{5} [/tex]

x = 1

Now,

Finding y

Where,

[tex] m_1 [/tex] = 2 , [tex] m_2 [/tex] = 3

[tex] x_1 [/tex] = 7 , [tex] x_2 [/tex] = -3

[tex] \therefore [/tex] Putting values we get,

y = [tex] \frac{2 \: × \: -3 \: + \: 3 \: × \: 7}{2 \: + \: 3} [/tex]

y = [tex] \frac{-6 \: + \: 21}{5} [/tex]

y = [tex] \frac{15}{5} [/tex]

y = 3

Hence x = 1, y = 3

So, the required point is P(x, y)

= P(1, 3)

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Note:- Refer the attachment.

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Answer:

preferred

ability

extraordinary

parading

playing

squeaky clean

occasion

immediately

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

Answer:

p(x - 4) = x³ - 12x² + 48x - 69

Step-by-step explanation:

To evaluate p(x - 4), substitute a = x - 4 into p(a), that is

p(x - 4) = (x - 4)³ - 5

            = (x - 4)(x - 4)(x - 4) - 5 ← expand 2nd/ 3rd factors using FOIL

            = (x - 4)(x² - 8x + 16) - 5 ← distribute parenthesis

            = x³ - 8x² + 16x - 4x² + 32x - 64 - 5 ← collect like terms

           = x³ - 12x² + 48x - 69

Answer:

65.38degrees

Step-by-step explanation:

Given the following

Length of ladder = 12foot = hypotenuse

Distance of the ladder from the wall = 5ft = adjacent

Required

Angle between the ground and the ladder theta

Using the SOH CAH TOA identity

Cos theta = adj/hyp

Cos theta = 5/12

Cos theta = 0.41667

theta = arccos(0.41667)

theta = 65.38 degrees

Hence the angle between the ground and the floor is 65.38degrees

Answer:

The answer of this question is False

Answer:

A

Step-by-step explanation:

A because it is the only one the recipe calls for 1 cup of sugar and 1/2 cup of flour, the point is in the middle but also on one.

X-intercept (5,0),(1,0)

Y-intercept (0,5)

Vertex (3,-4)

Axis of Symmetry x=3

Answer:6

Step-by-step explanation: for mean you add up the heights and divide it by the amount of numbers there are

Answer:

No, Estelle made a mistake in step 2

Step-by-step explanation:

Answer:

hight is 158

Step-by-step explanation:

Answer:

Probability: 131/195

Step-by-step explanation:

Total cookies:

7 + 6 + 2  = 15

Total candies:

14 + 12 = 26

Probability of raisin:

2/15

Probability of peppermint:

14/26 = 7/13

Probability of both:

2/15 + 7/13

131/195

Answer:

me ig

Step-by-step explanation:

Answer:

The value of the angle is 60 degrees

Step-by-step explanation:

Here, we want to find the value of the angle marked 2

From the question, we can see that we have three marked interior angles

These are the angles 1, 2 and 3

Mathematically, the interior angles of an equilateral triangle are equal

This means that each of the interior angle of an equilateral triangle measures 60 degrees

Hence, this means that the value of the angle marked 2 is 60 degrees

Answer:

2/3 x 12=8

1/4 x 12= 3

3/4 x 12 =9

1/2 x 12 = 6

Answer:

Step-by-step explanation:

Divide the US population by the world population:

328,200,000/7,674,000,000 = 0.0428

Multiply 0.0428 with 100:

0.0428 x 100 = 4.28

Approximately 4 out of 100 people in the world would live in the USA.

Answer:

x = 15

Step-by-step explanation:

x² = 12² + 9²

x² = 144 + 81

x² = 225

x = √225

x = 15

Answer:

19.550

Step-by-step explanation:

Sorry if I am wrong.....