Is the binomial a factor of the polynomial function?f (x) = x^3 + 4x^2 - 9x - 36

The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .

Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.

This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .

The rough sketch of the curve having the bell shape is shown attached to the question.

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Answer:

Sequence 1 =4

Sequence 2= 35. 70..105...140..175

Step-by-step explanation:

U subtract the previous number with next one

140 - 175 =35.. The you use this as your factor

Example 105 +35 = 140

Hope answer helps

Answer:

⚪ (4 • 3) + (4 • 8)

Step-by-step explanation:

\(4•(3 + 8)\)

by distributing 4 in the bracket:

\( = \{(4•3) + (4•8) \}\)

The best estimate of how much she will spend on movies and eating out is given as follows:

$162.

The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.

The percentages associated with movies and eating out are given as follows:

The amount that she has left is given as follows:

$300.

Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:

(0.3 + 0.24) x 300 = 0.54 x 300 = $162.

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Answer:

yes

Step-by-step explanation:

this answer is grammatically correct

The width of Polina's strategy =8¾

while the width of Jamie's strategy= 8 3/

The strategy that was used to calculate the width of the Hamza's bumper sticker would be to multiply the given height and widths with the values in ink.

For Polina;

Since 2×1¾ = 2× 7/4 =3½

5 × 1¾ = 5×7/4 = 35/4= 8¾

For Jamie;

since 2×2½= 2×5/2 = 5

= 3½ × 2½

= 7/2 × 5/2

= 35/4

= 8¾

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9514 1404 393

Answer:

  11.4

Step-by-step explanation:

Put the given coordinates in the distance formula and do the arithmetic.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((1 -(-8))² +(7 -0)²) = √(9² +7²) = √130

  d ≈ 11.4 . . . . units

The distance between the two points is about 11.4 units.

Answer: -5.5

Step-by-step explanation:

(; -2= 7/2

-5+ 7 =12

12/2=5

The perimeter of the rectangular Panto will be 38 meters.

It is important to note that the perimeter of a rectangle is calculated as:

= 2(length + width)

In this case, Cassandra has a rectangular Panto in her backyard the painter is 12.74 m long and 5.45 m wide.

We are told to convert the dimensions to the nearest whole numbers. This will be 13m and 6m. Therefore, the perimeter will be:

= 2 (length + width)

= 2 13 + 6)

= 2(19)

= 38m.

The perimeter is 38m.

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Multiply by 9/25 to make the coefficient of the variable 1 the answer is 9/25.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a given linear equation.

After solving the linear equation we get:

\(\rm \dfrac{25}{9}x = 25\)

To make the coefficient of the variable 1

Multiply by 9/25 on both sides.

\(\rm \dfrac{9}{25}\times\dfrac{25}{9}x = 25\times \dfrac{9}{25}\)

x = 9

Thus, multiply by 9/25 to make the coefficient of the variable 1 the answer is 9/25.

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Answer: the answer is 9/25

Step-by-step explanation: Multiplying both sides of the equation by 9/25 isolates x

Answer:

Step-by-step explanation:3/10

The measure of arc angle QTP is 204 degrees.

When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's find the measure of arc angle QTP as follows:

90 = 0.5(x - 68)

90 = 0.5x - 34

0.5x = 124

x = 124 / 0.5

x = 248 degrees

Where

x = arc angle TSQ

Therefore,

arc QP = 44 degrees

Therefore,

arc QTP = 248 - 44

arc QTP = 204 degrees

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Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer:

I can't please the question is sooo hard but can you give steps

Answer:

58.33 cubic units

Step-by-step explanation:

Volume of cone

= 1/3 * Volume of cylinder

= 1/3 * 175

= 58.33 cubic units

Answer:

58 1/3

Step-by-step explanation:

1/3*175=58.3333333

or 58 1/3

Answer:

D. 2x^2 - 2x + 2

Step-by-step explanation:

(3x2 – 2x + 5) – (x2 + 3) add or subtract like terms

3x^2 - x^2 - 2x - 3 + 5 = 2x^2 - 2x + 2

Answer:

2x^2 - 2x + 2

Step-by-step explanation:

Ape-x

False, that is if the number of data observations is even, the median is generally considered to be the average of middle values not the first and last values.

The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.

At least half of the observations are equal to or smaller than the median, and at least half of the measurements are equal to or greater than the median. The median divides the bottom half of observations from the upper half.

Even Number of Observations :

Suppose we have the monthly wages of 4 employees of a company. How would you find the median wage?

wages are 120,240,500,400

we have arranged their wages above from lowest to highest. This ranking will help us to determine the median. Using the method introduced earlier, the median is computed by taking the simple average of the (n/2)ᵗʰ = (4/2)ᵗʰ = 2ⁿᵈ and

(n/2 + 1)ᵗʰ = (2+1)ᵗʰ = 3ʳᵈ observations.

Therefore, the median is 240+500/2

= 370.

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Complete question

True/false

if the number of data observations is even, the median is generally considered to be the average of the first and last values

Applying the product rule gives

\(\displaystyle \frac{d}{dx}\int_1^{x^2}\frac{2t}{1+t^2}\,dt \times \int_1^{\ln(x)}\frac{dt}{(1+t)^2} + \int_1^{x^2}\frac{2t}{1+t^2}\,dt \times \frac{d}{dx}\int_1^{\ln(x)}\frac{dt}{(1+t)^2}\)

Use the fundamental theorem of calculus to compute the remaining derivatives.

\(\displaystyle \frac{4x^3}{1+x^4} \int_1^{\ln(x)}\frac{dt}{(1+t)^2} + \frac{1}{x(1+\ln(x))^2}\int_1^{x^2}\frac{2t}{1+t^2}\,dt\)

The remaining integrals are

\(\displaystyle \int_1^{\ln(x)}\frac{dt}{(1+t)^2} = -\frac1{1+t}\bigg|_1^{\ln(x)} = \frac12-\frac1{1+\ln(x)}\)

\(\displaystyle \int_1^{x^2}\frac{2t}{1+t^2}\,dt=\int_1^{x^2}\frac{d(1+t^2)}{1+t^2}=\ln|1+t^2|\bigg|_1^{x^2}=\ln(1+x^4)-\ln(2) = \ln\left(\frac{1+x^4}2\right)\)

and so the overall derivative is

\(\displaystyle \frac{4x^3}{1+x^4} \left(\frac12-\frac1{1+\ln(x)}\right) + \frac{1}{x(1+\ln(x))^2} \ln\left(\frac{1+x^4}2\right)\)

which could be simplified further.

Answer:

6x^3-5x^2

Step-by-step explanation:

(4x^3+x^2)+2(x^3-3x^2)

4x^3+x^2+2x^3-6x^2

4x^3+2x^3+x^2-6x^2

6x^3+x^2-6x^2

6x^3-5x^2

The simplest form of the given expression \((4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\) is,

\(6x^{3} - 5x^{2}\).

Here, given expression is,

\((4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\)

What is simplest form of equation?

The simplest form is the smallest possible equivalent fraction of the number.

Now,

Simplest form of expression,

\((4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\\4x^{3} +x^{2} +2 x^{3} -6x^{2} \\6x^{3} - 5x^{2}\)

Hence, The simplest form of the given expression \((4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\) is, \(6x^{3} - 5x^{2}\).

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Answer:

y = 2x + 16

Step-by-step explanation:

Remember: The slope of perpendicular lines are negative reciprocals of each other.

1. Find the slope using the given equation.

   y= -1/2x +  8      Using the slope- intercept form  y = mx + b, the slope is -1/2 because it is the coefficient of the x-term .

  The new line is perpendicular to the given line and their slopes are negative reciprocals of each other.  You will use a slope = 2

2. Substitute into the slope intercept form y = mx +b , the value of the slope, "m" and the given point (-6, 4)  and solve for "b"

y = mx + b

4 = 2(-6) + b

4 = -12 + b

16 = b

3.  General form of slope intercept form: y = 2x +16

Answer:

slope = -7

Step-by-step explanation:

(1, 4) and (2, -3)

Slope = y^2 - y^1 / x^2 - x^1

m = -3 - 4 / 2 - 1

m = -7 / 1

m = -7 ---------> slope of the line through (1, 4) and (2, -3)

Answer:

slope is -7 for (1, 4) and (2, -3)

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Answer:

b=338

Step-by-step explanation:

17 + b/26 = 30

use inverse operations to solve:

17 + b/26 = 30

-17           -17

b/26 = 13

*26       *26

b = 338

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:

x=65 degrees

Step-by-step explanation:

It's a right angle because a line is equal to 180* and one side is a right angle so the other is one as well so 90*-25*=65*