What polynomial theorem can you use to determine if (x + 2) is a factor of (3x3 + x2 – 4)?
Theorem:
Code Piece:

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

for such more question on perpendicular

https://brainly.com/question/18991632

#SPJ8

Let's use v1(t) and v2(t) to represent the speed of the first and second runners, respectively, at time t. The functions v1 and v2 must both be continuous in the time variable t, hence this assumption must be made.

So, their difference, a(t), is similarly a continuous function in the variable t, with the formula a(t) = v1(t)-v2(t).  

Now, using the principle of contradiction, one may demonstrate that t1, t2, such that a(t1) is less than or equal to 0 and a(t2) is higher than or equal to 0, exist because the overall average speed of both runners is identical.

Now, we may utilize the continuous function a's Intermediate Value Property to locate a t0 between t1 and t2, where a(to)=0 and the runners are moving at the same speed at this point.

To know more about Intermediate Value Property click on below link:

https://brainly.com/question/30079873#

#SPJ4

Answer:4.8

Step-by-step explanation:

Given: 9 pie is ordered and the cost before tax is 8#.25

To Determine: The unknown digits and the cost of each pizza

To achieve this, we would use the divisibility test for 9

The divisibilty test state that sum all the digit. it must be divisible by 9. Therefore

For that to be divisible by 9, then

Hence, the unknown digit is 3

The price of a pizza is

Hence, each pizza cost $9.25

The slope of the line will be equal to -4/3.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.

Given that the two points are (2,3) and (8,-5). The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -5 - 3 ) / (  8 - 2 )

Slope = -8 / 6

Slope = -4 / 3

Therefore, the slope of the line will be equal to -4/3.

To know more about slopes follow

https://brainly.com/question/3493733

#SPJ1

A one-to-one correspondence between the set of all positive integers and the set of all rational numbers exists.

By definition, any rational number can be expressed as a fraction a/b, where a and b are integers and b is nonzero. Since any positive integer can be expressed as the fraction a/1, each positive integer can be associated with a rational number a/1.

Thus, there is a one-to-one correspondence between the set of all positive integers and the set of all rational numbers. Furthermore, since any rational number a/b can be expressed as the product of a and b, it can also be associated with the product of two positive integers a and b.

Thus, there is also a one-to-one correspondence between the set of all rational numbers and the set of all positive integers.

For more questions like Positive integers  click the link below:

https://brainly.com/question/29770528

#SPJ4

Answer: a. Statistic because the value is a numerical measurement describing a characteristic of a sample.

Step-by-step explanation: Statistic are numerical characteristics drawn or obtained from a sample which is a subset of a population. Numerical values obtained from a population of data is called parameter. Hence, since the set of professors from which the value of those who own a television being 40% was drawn is stated as being a sample. Then all numerical characteristics obtained from the dataset will be referred to as a statistic.

Answer:

The length of the hypotenuse is 100.

Step-by-step explanation:

To find the length of the hypotenuse, we use the following formula:

c=\(\sqrt{a^2+b^2}\)

c=\(\sqrt{28^2+96^2}\)

c=\(\sqrt{10,000}\)

c=100

Therefore, the length of the hypotenuse is 100.

The annual rate of increase of the population is given as follows:

r = 5.94%.

The population will triple in approximately

19 years.

An increasing exponential function is defined as follows:

y = a(1 + r)^x.

In which:

The population doubles in 12 years, hence the yearly rate is obtained as follows:

2a = a(1 + r)^12

(1 + r)^12 = 2

[(1 + r)^12]^(1/12) = 2^(1/12)

1 + r = 1.0594

r = 0.0594

r = 5.94%.

Hence the function is:

y = a(1.0594)^x.

The time needed for the population to triple is given as follows:

3a = a(1.0594)^x

(1.0594)^x = 3

x = log(3)/log(1.0594)

x = 19 years.

More can be learned about exponential functions at https://brainly.com/question/30113628

#SPJ1

Answer:

7 < x < 12

Step-by-step explanation:

To solve this inequality, solve it the same way you do a normal function. Perform the same actions on both sides of the inequality.

\(10 < 2x-4 < 20\\14 < 2x < 24\\7 < x < 12\)

Answer:good job!

Step-by-step explanation:

Step-by-step

Answer:

A. The two rays form angle CAB.

C. The two rays make a line AC.

D. The two rays intersect at point A.

E. The two rays are perpendicular.

This is shown in figure 1 in the attachment provided.

Step-by-step explanation:

The given rays, \( \overrightarrow{AB} \) and \( \overrightarrow{AC} \) shows that both rays have a common endpoint A.

Therefore, the following conditions exists:

A. "The two rays form angle CAB."

Take a look at figure 1 in the attachment provided below. The two rays meet at point A to form angle CAB.

C. "The two rays make a line AC."

As shown in figure 2 in the attachment provided below, [\( \overrightarrow{AB} \) and \( \overrightarrow{AC} \) have a common end point, A, and they extend in opposite directions to form a straight line AC. \( (\overline{AC}) \)

D. "The two rays intersect at point A."

This is shown in figure 1 in the attachment provided.

E. "The two rays are perpendicular."

Since \( \overrightarrow{AB} \) and \( \overrightarrow{AC} \) intersect at point A, they are perpendicular to each other, forming a right angle at point A. This we can see in figure 2 provided in the attachment.

According to the information we can infer that in the Mayan numeral system, the year 2010 is represented as follows: snail, point, snail, point, point, point, point, point

The number 2010 is broken down into Mayan units, using the symbols corresponding to the different positional values. In the Maya system, three main symbols are used:

To represent the number 2010 in Maya, the combination of these symbols is used as follows:

Two shells represent the value of 2000. One point represents the value of 10. So, the representation of the year 2010 in Mayan numbers would be:

snail, point

Remember that the Mayan number system is positional, similar to the decimal system, so the value and position of each symbol are important to determine the complete number.

Note: The question in English is: How to represent 2010 in Mayan numbers?

Learn more about the Mayas in https://brainly.com/question/1952923
#SPJ1

Answer: y + 3x + 2 = 0

Step-by-step explanation:

The formula for that is

y - y₁

-------     = -3 where x₁ = -3, y₁ = 7

x - x₁

Therefore cross multiply and solve

y - 7 = -3[( x - (-3)]

y - 7 = -3( x + 3 )

y - 7 = -3x - 9

y + 3x -7 + 9 = 0

y + 3x + 2 = 0

Answer:

y=-3x-2

Step-by-step explanation:

Answer:

\(190\frac{26}{29}\)

Step-by-step explanation:

____190__

29 | 5346

     -29 (29*100=2900)

________

      2446

     -232 (29*90=232)

________

           26

Therefore, the answer is \(190\frac{26}{29}\)

In the mixed form we can write → 5346 ÷ 29  as  \($184\frac{10}{29} .\\\)

We have the following operation -

5346 ÷ 29

We have to write the result of above division in mixed form.

The division algorithm says when a number 'a' is divided by a number 'b' gives the quotient 'q' and the remainder 'r' then the following relation exists-

a = bq + r

where 0 ≤ r < b.

This is also known as Euclid's division lemma.

According to the question, we have -

5346 ÷ 29

Let A = 5346 ÷ 29. Therefore -

A = \($\frac{5346}{29} = 184\frac{10}{29} .\\\)

Hence, in the mixed form we can write → 5346 ÷ 29  as  \($184\frac{10}{29} .\\\)

To solve more questions on Mixed numbers, visit the link below-

brainly.com/question/2753661

#SPJ2

The probability is 0.9999045772. Round up to 6 decimal places if necessary.

The probability distribution of a random experiment or event shows the chance of each conceivable outcome. It gives the likelihoods of several potential events. Additionally, see Probability of Events. A measure of the uncertainty of different phenomena is the likelihood. Like when you throw a die, the probability determines the various results. To determine this distribution, any random experiment with ambiguous or unanticipated outcomes could be employed.

First, we determine the likelihood of receiving a particular sort of hand.

The likelihood of receiving this kind of hand is:

P(deal) = 248/2598560

P(dealt) = 1 - P(not dealt)

Then we find probability of not being dealt with one type of hand.

P(not dealt) = 1 - P( dealt)

P(not dealt) = 1 - 248/2598560

P(not dealt) = 25898960-248/2598960

= 2598712/2598960

= 0.9999045772

To know more about probability, visit:

https://brainly.com/question/24756209

#SPJ1

The complete question is,

Answer:

continuous

Step-by-step explanation:

A quantity like temperature is a continuous random variable. A continuous random variable is different from a discrete random variable because it can take on many values infinitely.

From the question, measuring the Temperature in degrees can take on many different values because there are an uncountable number of possible temperatures that could be taken.

Answer:

Always

Step-by-step explanation:

The scale factor tells how many times bigger you are making it, so any number larger than 1 is bigger.

Answer:

  877.5 cm²

Step-by-step explanation:

Altogether, the area is that of 12 triangles of base 13 cm and height 11.25 cm. The total area will be ...

  star area = 12×triangle area = 12×(1/2)(13 cm)(11.25 cm)

  star area = 877.5 cm²

The weighted average length of a nail from the carpenter's box is 3.5 centimeters.

Different from calculating the average, the weighted average implies considering the frequency or abundance percentage. Now, to calculate the average weighted we will need to multiply the length of each type of nail by the abundance and finally, we will need to add the results obtained. The process is shown below:

Short nail: 2.5 cm x 70.5%= 1.7625 cm

Medium nail: 5.0 cm x (19% = 0.95 cm

Long nail: 7.5 cm x 10.5% = 0.7875 cm

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Learn more about the average in https://brainly.com/question/24057012

#SPJ1

Answer:

$296

Step-by-step explanation:

Just multiply

Answer: 3552

Step-by-step explanation: $74 + 12 months for 4 years is 3552

Answer:

9.7

Step-by-step explanation:

97/10= 9.7

formula for rectangle= length x width

area divided by width= 97/10

97/10=9.7

length=9.7

9.7x10=97

Answer:

I would say (2,-9) is her projection

Answer:

ok bet my niqgqa

Step-by-step explanation:

Answer:

The first option is the correct answer

Step-by-step explanation:

The option you have marked does mention all their options but it lists them all together rather than mentioning the different options separately.

The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX

a. To prove B(x+1, y) = x * B(x, y), proceed as follows.

Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).

Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .

Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).

Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.

Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).

Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .

Substitute this formula in the previous step to get,

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)

= x * B(x, y)

You have now proved B(x+1, y) = x * B(x, y).

b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).

Integrate ∫[0, ∞] (x(2x-1) * Start with dx.

Evaluating this integral using the permutation u = du is obtained.

Simplify the integral to (1/2) * Γ(x + 1/2).

Express sin(πx) as π / (Γ(x) * Γ(1 - x)).

Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.

Substituting the equations,

The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *

We get * (π / (Γ(x) * Γ(1 - x)))) dx.

For more questions on simplified equation:

https://brainly.com/question/33148611

#SPJ8

Complete Question:

To rationalize the denominator of 2√10/3√11 , you should multiply the expression by which fraction?

Answer:

Multiply by \(\frac{\sqrt{11}}{\sqrt{11}}\)

Step-by-step explanation:

Given

\(\frac{2\sqrt{10}}{3\sqrt{11}}\)

Required

To rationalize

To do this, we simply multiply the expression by the fraction of \(\frac{\sqrt{11}}{\sqrt{11}}\)

This gives:

\(\frac{2\sqrt{10}}{3\sqrt{11}} * \frac{\sqrt{11}}{\sqrt{11}}\)

\(\frac{2\sqrt{10 * 11}}{3\sqrt{11 * 11}}\)

\(\frac{2\sqrt{110}}{3\sqrt{121}}\)

Express \(\sqrt{121\) as 11

\(\frac{2\sqrt{110}}{3*11}\)

\(\frac{2\sqrt{110}}{33}\)

Hence:

\(\frac{2\sqrt{10}}{3\sqrt{11}}\) = \(\frac{2\sqrt{110}}{33}\)

Answer:

15

Step-by-step explanation:

A square has 4 sides, so you can do 60 divided by 4 to find how many meters on each side.

60 / 4 = 15 meters for the side length

The side length of the square yard is 15 m.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is side².

We have,

The total length of the fence = 60 meters.

The square yard will have the same length on all four sides.

This means,

The side length of the square yard.

= 60/4

= 15

Thus,

The side length is 15 m.

Learn more about squares here:

https://brainly.com/question/22964077

#SPJ2

Answer:

Step-by-step explanation:

Although the reasons are not given in this question, find the possible statements and reasons for this question.

                  Statements                      Reason

1). y ║ z                                    1). Given

2). ∠1 ≅ ∠5                             2). Alternate interior angles theorem

3). ∠3 ≅ ∠6                            3). Alternate interior angles theorem

4). ∠1 + ∠2 + ∠3 = 180°          4). Linear angles

5). ∠5 + ∠2 + ∠6 = 180°         5). Substitution property

Therefore, sum of the interior angles of a triangle is 180°.

I hope this helps!!!!! Good luck, meow ;)

Answer:

Step-by-step explanation:

either do 23 x23

or

23 x 16 ( do this first )

Answer:

$3480

Step-by-step explanation:

We know that the tax rate for the first $8000 is 15% and after $8000 the tax is 19%.

This means the total amount of money that Christine have to pay is equal to $8000 × 15% + ($20000 (the total) - $8000 (the amount that she already paid for the first $8000)) × 19%

This is equal to $1200 + $12000 × 19%

= $1200 + $2280

= $3480

Therefore, Christine must pay $3480 in income tax.