the special product formula for the "square of a sum" is (a + b)2 =

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:

me ig

Step-by-step explanation:

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

Y-intercept (0,5)

Vertex (3,-4)

Axis of Symmetry x=3

Answer:

-1

Step-by-step explanation:

Plug in calculator

-3(-1)^5+2(-1)^2-1-5 = -1

Assuming the angle made by a vector refers to the angle it makes with the positive horizontal axis, take the dot product of u with the vector (1, 0), and recall that

a • b = ||a|| ||b|| cos(θ)

where θ is the angle made by the vectors a and b. Then

u • (1, 0) = ||u|| ||(1, 0)|| cos(θ)

We have

u • (1, 0) = 5×1 + 8×0 = 5

||u|| = √(5² + 8²) = √89

||(1, 0)|| = √(1² + 0²) = √1 = 1

so that

5 = √89 cos(θ)

cos(θ) = 5 / √89

θ = arccos(5 / √89) ≈ 57.99°

Answer:

Step-by-step explanation:

8.13<8.4

.004<.05

.4 repeating>.4

Respuesta: 3/2= 1 1/2

Answer:

1 1/2 or 1.5

Step-by-step explanation:

To divide a fraction, use the phrase, "keep, change, flip"

We keep the first fraction as it is, change the sign to multiplication, and flip the second fraction to its multiplicative inverse.

So 3/4 divided by 1/2 becomes:

3/4 x 2/1

= 6/4 = 1 1/2

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:

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:

No, Estelle made a mistake in step 2

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:

2/3 x 12=8

1/4 x 12= 3

3/4 x 12 =9

1/2 x 12 = 6

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:

blank 1- 2304

blank 2-  2736

Step-by-step explanation:

hope it helps

Answer:

1) 6447,55 unități pătrate

2) 25192,43 unități cubice

Step-by-step explanation:

1) Suprafața totală a unui cilindru

Formula = 2πr (r + h)

r = 27 de unități

h = 11 unități

Suprafața totală = 2 × π × 27 × (27 + 11)

= 6446.54813 unități pătrate

Aproximativ = 6447,55 unități pătrate

2) Volumul cilindrului

Formula = πr²h

= π × 27² × 11

= 25192,43 unități cubice

Answer:

8%

Step-by-step explanation:

Find the percent increase by dividing the difference in visitors by the original amount, then multiply it by 100

(76/950) x 100

= 8

So, the percent increase is 8%

Answer:

the answer should be 38.75

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)

_______________________________________

Note:- Refer the attachment.

_______________________________________

Answer:

the answer is c

Step-by-step explanation:

Domain is [tex]{ x|x\neq -1,2,4}[/tex]

The domain of a function is the complete set of possible values of the independent variable.

The domain is the set of all possible x-values which will make the function "work", and will output real y-values

We need to find the domain of the function graphed

Domain are the values of x for which the function is defined.

For domain, we look at the x values of the graph.

We have graph for x values  the graph goes close to x = -1 and x = 4 axis but does not cross x = -1 and x = 4axis. and at x =2 not define

So , domain is set of all x values  [tex]{ x|x\neq -1,2,4}[/tex]

Hence, domain is [tex]{ x|x\neq -1,2,4}[/tex]

To learn more about the domain here:

https://brainly.com/question/15378251

#SPJ7

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:

hight is 158

Step-by-step explanation:

Answer:

2, 3, 5, 7

Step-by-step explanation:

They are all prime

Answer: 2,3,7,5

Step-by-step explanation:

2 is an exeption for a prime number but 3,7,5 are only diviusible by 1 and itself

Answer:

x = 15

Step-by-step explanation:

x² = 12² + 9²

x² = 144 + 81

x² = 225

x = √225

x = 15

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:

Hieight is 65m

volume is 35

Step-by-step explanation:

Answer:

The independent variable is the cost of the item ([tex]d[/tex]), whereas the dependent variable is the change ([tex]c[/tex]) received by Darrel, since that quantity is calculated by subtracting the cost of the item from the value of the bill. The equation is the following linear equation: [tex]c = 20.00 - d[/tex]

Step-by-step explanation:

The independent variable is the cost of the item ([tex]d[/tex]), whereas the dependent variable is the change ([tex]c[/tex]) received by Darrel, since that quantity is calculated by subtracting the cost of the item from the value of the bill. The equation is the following linear equation: [tex]c = 20.00 - d[/tex]

Answer:

The answer of this question is False