what is the factorization of -2x^3 + 2x^2 +12x

Using percentages we know that 62% or 62 students out of 100 students prefer biology.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage.

When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.

Thus, the proportion refers to a component per 100.

The word percent denotes a percentage of 100. It is represented by the symbol "%."

So, according to the given situation:

34 females enjoy biology

Do boys enjoy biology?

It is 34%≤

Then,

27% favor chemistry

10% favor physics.

The calculation would be:

27 + 11 = 38

100 - 38 = 62

Therefore, using percentages we know that 62% or 62 students out of 100 students prefer biology.

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Correct question:

100 students are interviewed to see which of biology, chemistry or physics they prefer.72 of the students are girls. 34 of the girls like biology best. 11 of the boys prefer physics. 24 out of the 27 who prefer chemistry are girls. What percentage of the students prefer biology?

Answer:

67

Step-by-step explanation:

Evaluate 7 - 3 x where x = -20:

7 - 3 x = -3 (-20) + 7

Hint: | Multiply -3 and -20 together.

-3 (-20) = 60:

60 + 7

Hint: | Evaluate 60 + 7.

60 + 7 = 67:

Answer: 67

Answer:

The following frequency distribution depicts the scores on a math test. Find the class

midpoint of scores for the interval 95-99.

Step-by-step explanation:

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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Answer:

Step-by-step explanation:

2y = -x +9

3x - 6y = -15

The solution is the value of x and y that will make the two equations true in the same time.

3x-6y = -15;  divide both sides by 3

x-2y = -5; substitute 2y for -x+9 because the first equation tell us they are equal

x-(-x+9) = -5; open parenthesis

x+x-9 = -5 ; add 9 to both sides  and combine like terms

2x = -5 +9; 2x = 4; divide both sides by 2

x= 2

Substitute x for 2

2y = -x+9 ; 2y = -2 +9 ; 2y = 7; y = 7/2 = 3.5

Solution is (2, 3.5)

Answer:

(2, 7/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

2y = -x + 9

3x - 6y = -15

Step 2: Rewrite Systems

2y = -x + 9

Step 3: Redefine Systems

y = -x/2 + 9/2

3x - 6y = -15

Step 4: Solve for x

Step 5: Solve for y

Answer:

see photo

Step-by-step explanation:

took the test

x+(-5x) = 12

or, -4x = 12

or, x = 12/-4 = -3

The value of x is -3 so plot -3

Answer:

It is a function because the line does not pass through X two times.

Step-by-step explanation:

Answer:

it is not a function since the pattern is broken and does not stay symetrical or as a pattern

Step-by-step explanation:

The scale factor and the value of x for each figure is given as follows:

A) Scale factor of 1/3, x = 7 m.

B) Scale factor 0.4747, x = 4.5 in.

For Figure A, we have that the ratio between the areas is given as follows:

510/4590 = 1/9.

As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:

1/3.

Then the value of x is obtained as follows:

x = 21 x 1/3

x = 7 m.

For Figure B, we have that the ratio between the areas is given as follows:

16/71 = 0.22535.

The scale factor is then the square root of 0.22535, which is given as follows:

0.4747.

Then the value of x is given as follows:

x = 9.5 x 0.4747

x = 4.5 in.

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Answer:

I would assume {0, 2, 3, 5}

Step-by-step explanation:

I would assume that answer because all three are given in the range of the given data set.

Answer:

The answer is [0] (D)

Step-by-step explanation:

Given the fact that the Range is Y value, we see 0,0,0,0

So its 0

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer:

x=3, y=23

x=6, y=41

x=8, y=53

x=9, y=59

Step-by-step explanation:

x=3, y=6(3)+5

        y=18+5

        y= 23

x=6, y=6(6)+5

       y=36+5

       y= 41

x=8, y=6(8)+5

       y=48+5

       y=53

x=9, y=6(9)+5

       y=54+5

       y=59

Look at the file, it has every bit of the answer

In this syllogism, the major term is "good witnesses," the minor term is "hypnotized people," and the middle term is "people who mix fact with fantasy."

Syllogism is referred to as the arguing statement that is proved with the help of the other two given statement. For example, If statement I is that all pen are pencil and statement II is all pencil are cup then statement III that is all pen are cup is proved by the help of statement I and statement II.

The mood of the syllogism is "O-E-I," and the figure is 1. According to the list of valid syllogistic forms, the syllogism is valid from the Boolean standpoint but invalid from the Aristotelian standpoint. This is because the mood "O-E-I" is not a valid mood according to the Aristotelian list of valid forms, but it is a valid mood according to the Boolean list of valid forms.

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You can't turn this into an equation because there is nothing that states something is equal to each other. You can turn it into an expression though.

(60÷6​) + b

Answer:

\(x^{2}\)−4

Step-by-step explanation:

If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.

1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.

Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.

Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.

31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6

Total deductions of Gavin includes PAYE, UIF and pension fund contribution.

Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7

Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?

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The largest power of 10 that is a factor of 1000! is 5^249, or 10^249.

(a) To find the largest power of 10 that is a factor of 50!, we need to count the number of factors of 5 in 50! since each factor of 5 contributes at least one factor of 10.

There are 10 multiples of 5 in 50!, namely 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each of these contributes one factor of 5. There are also 2 multiples of 25 (25 and 50), each of which contributes an additional factor of 5. Therefore, the total number of factors of 5 in 50! is 10 + 2 = 12.

Since each factor of 10 contains one factor of 5 and one factor of 2, we also need to count the number of factors of 2. It is clear that there are more factors of 2 than factors of 5, so we only need to count the factors of 5. Therefore, the largest power of 10 that is a factor of 50! is 5^12, or 10^12.

(b) To find the largest power of 10 that is a factor of 1000!, we follow the same reasoning as in part (a). The number of factors of 5 in 1000! is:

⌊1000/5⌋ + ⌊1000/25⌋ + ⌊1000/125⌋ + ⌊1000/625⌋ = 200 + 40 + 8 + 1 = 249

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

\(Absolute\ Change = -0.766\)

Step-by-step explanation:

Given

\(2008\ CPI = 215.303\)

\(2009\ CPI = 214.537\)

Required

Determine the absolute change

Absolute change is calculated as thus:

\(Absolute\ Change = 2009\ CPI - 2008\ CPI\)

\(Absolute\ Change = 214.537 - 215.303\)

\(Absolute\ Change = -0.766\)

Hence:

The absolute change from 2008 to 2009 is -0.766

Answer:

\(54\)

Step-by-step explanation:

Formula for average A of two numbers m and n is:

\(A=\frac{m+n}{2}\)

Substitute the value m=36 and n=72

\(A=\frac{36+72}{2}\)

This is equivalent to:

\(A=\frac{108}{2}\)

The average is:

\(A=54\)

The required solution from the graph that variable X and Y have a strong negative association.

Correlation is a statistical measure that expresses the extent to which two variables are linearly related. Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.

Given:

The given graph attached below .The graph is between variable x and variable y.

According to given question we have

The graph slopes downwards as variable X increases, hence we have a negative relationship between X and Y.

The graph shows strong negative because we see a correlation of downwards sloping.

The trend produced by the graph is straight forward with points close to one another, hence forming a well - defined pattern. These depicts a Strong association between the variable.

Therefore, the required solution from the graph that variable X and Y have a strong negative association.

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Answer: 4 books every month

4:1

Answer:

Step-by-step explanation:

I believe the answer is 8 plantains. For $12 you can buy 24 plantains, for $24 you can buy 48 plantains. Now we know that it is going to be times 2. This means you could get 8 plantains.      

Hope this helps!

The number of cubes with 1/4 unit side length packs the right rectangular prism with dimensions 1 1/2 unit by 1/2 unit bu 3/4 unit are 36 cubes

A right rectangular prism has a rectangular cross-section with four lateral faces with each pair of opposite faces being parallel to each other.

The length of the right rectangular prism = \(1\frac{1}{2}\) units

Width of the right rectangular prism = \(\frac{1}{2}\) units

Height of the prism = \(\frac{3}{4}\) units

The volume of the right rectangular prism = (1 1/2) × 1/2 × 3/4 = 9/16

The volume of the right rectangular prism, V\(_r\) = 9/16 cube units

The side length of one of the cubes which are required to completely pack the rectangular prism without any gap or overlap = 1/4 unit

The volume of each cube, v\(_c\) = ((1/4) × (1/4) × (1/4)) cube unit = 1/64 cube units

The number of cubes required, n = V\(_r\)/v\(_c\)

Therefore; n = (9/16)/(1/64) = 36

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this might help

https://socratic.org/questions/a-number-cube-is-labeled-1-through-6-what-is-the-probability-of-rolling-a-number

The probability of getting even number is 1/2.

It is a measure of happening or non-happening of outcomes of a random experiment.

P(E) = Number of favorable outcomes/Total number of outcomes

According to the given question

We have

A cube labeled 1 to 6

Therefore,

sample space = {1, 2, 3, 4, 5, 6}

⇒ Total number of outcomes = 6

Numbers of even number on a die = { 2, 4, 6}

⇒ Total number of favorable outcomes = 3

So, the probability of getting even number = \(\frac{3}{6} = \frac{1}{2}\)

Hence, the probability of getting even number is 1/2.

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Answer:

B. x is less than or equal to 5

Step-by-step explanation:

The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to

In this case it is less than or equal to because the line goes to the left

Hope this helped!