Answer number 2 please

The factors of x² - 9 is +3 , -3.

What is factors ?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them. Factors can be found using either division or multiplication.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics.

The numbers that can divide a number exactly are called factors. There is therefore no residual after division. The numbers you multiply together to obtain another number are called factors. A factor is therefore another number's divisor.

x² - 9 = 0

x² = 9

x = √9

x = ± 3

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Answer:

\(y < -\frac{4}{5} x+4\)

Step-by-step explanation:

To graph the equation, draw the line \(y = -\frac{4}{5} x+4\) and shade in the lower left part of the graph under the line to illustrate the inequality

Then pick two points to test

Point (5, 27)

y = 3*x

Let evaluate

y = 3*(5)

Y = 15

(5, 27) does not satify the equation

The number itself equals any integer raised to the power of one.

What is Exponent?

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.

What is integer?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold mathbb Z.

Any number that is multiplied by one has the same value as the original number, according to the exponent rule.

Take this as an example:

You can write x to the power of 1 as x and 100 to the power of 1 as 100.

Therefore, anything raised to the power of one equals that number.

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Answer:

48

Step-by-step explanation:

Hello :)

To solve this question, we need to isolate the variable m.

6=m/8

To get rid of 8, we can multiply 8 both sides to get rid of it.

8x6=m

48=m

Answer:

Step-by-step explanation:

[Multiply 8 both sides to isolate the variable]

[Final Answer]

Hence, the value of m is 48.

Answer:

2.4*18 = $43.2

stock price is $43.2

Step-by-step explanation:

Answer:
i = \(\sqrt{-1}\)
i^2 = -1

Step-by-step explanation:

I hope this helps you out :D

since i = square root of -1 when you square i (i^2) you get rid of the parenthesis.

The given equation is

This equation represents the value of the car in dollars in t years after its purchase

Since the general form of the exponential equation is

a is the initial value

r is the rate of increase (+) or decrease (-) in decimal

Compare the two equations

a = 23300

That means the purchase value of the car is $23300

Since the value in the bracket is less than 1, then use (1 - r)

1 - r = 0.94

To find r:

Then the rate is 0.06, change it to percent by multiplying it by 100%

The answer is

The value of the care is V at the rate of 6%

The purchase price of the car was $23300

Answer: answer is C

Step-by-step explanation:

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Answer:

Step-by-step explanation:

Pick 2 points then calculate the rise over run to get the slope.

Say (2,4) & (5,5)

The rise (y) value is +1. The run (x) is +3.

Putting the rise OVER the run gets you

1/3.

The slope is 1/3.

35 is a reasonable prediction of the number of times he will select 2 yellow socks?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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Answer:

  374 in²

Step-by-step explanation:

The attachment shows how the rectangle can be divided into three parts. The area of the whole is the sum of the areas of the parts. Working from largest to smallest we have ...

  Area = sum of LW

  Area = (27 in)(11 in) +(10 in)(5 in) +(9 in)(3 in)

  = 297 in² +50 in² +27 in²

  = 374 in²

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)

now, keeping in mind that perpendicular lines have negative reciprocal slopes

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)

so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)

The functions \($f(x)=x^2-3$\) and \($g(x)=-x^2+2$\)are shown on the graph.

For the following system of inequalities, the solution set must be obtained.

\($$\begin{aligned}&y \leq x^2-3 \\&y > -x^2+2\end{aligned}$$\)

the function \($f(x)$\)Except the function, nothing has changed \($g(x)$\) Because the inequality strictly exceeds the border, we must eliminate it.\($-x^2+2$\)

On the other hand, we redefine the inequalities and search for a test point to establish the system of inequalities' solution set. In this situation, the\($(0,0)$\) and look for the orientation of the solution.

Let's look at this.

For \($y \leq x^2-3$\), we have

\($$y-x^2+3 \leq 0$$\)

Replacing the\($(0,0)$\), we have

\($0-0^2+3 \leq 0 \Longrightarrow 3 \leq 0$\) Because of the contradiction, the inequality is still true for values outside of the parabola.

Similarly, we have for \($y > x^2+2 \Longrightarrow y-x^2-2 > 0$\)

Replacing the\($(0,0)$,\)we have

\($0-0^2-2 > 0 \Longrightarrow-2 > 0$\).Since there is a contradiction here, zero is not part of the answer. Therefore, the collection of points outside the parabola corresponds to the solution.

The system's graphical solution is as follows based on the aforementioned.

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The angle of elevation θ is equal to 1.13186 in radian rounded to five decimal place.

The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.

We shall evaluate for the angle of elevation θ in degree, and then convert the result to radian as follows:

θ = tan⁻¹(4255/2000)

θ = 64.82482°

we multiply by π/180 to convert to radian;

θ' = 64.82482° × π/180

θ' = 1.13186 rounded to five decimal place.

Therefore, the angle of elevation θ is equal to 1.13186 in radian rounded to five decimal place.

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Answer:

they all are correct asu know first expression is multiple by other one so u can check

All values of t for which the rocket's height is 92 feet are;

t= 0.55 or 10.89 seconds  

Given that model rocket is launched with an initial upward velocity of 164 ft/s.

The rocket's height h (in feet) after t seconds :

To Find:  

Find all values of t for which the rocket's height is 92 feet.

h=164t – 16t²

92 = 164t – 16t²

-164t + 16t² + 92 = 0

Solve with the quadratic formula:

t = [ -(-164) ± √((-164)² − 4(16)(92)) ] / 2(16)

t = (164± √27409) / 32

t = (164± √27409) / 32

t ≈ 0.55 or 10.89

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Answer:

A The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.

Step-by-step explanation:

Given :

Percentage rented science textbooks = pS

Percentage rented Literature textbooks = pL

To test if percentage Science textbooks in the state was greater than percentage Literature textbooks :

H0: pS = pL

Ha: pS > pL

Pvalue = 0.035 ; α = 0.05

Decision Region :

If Pvalue < α ; We reject H0

In the scenario above,

Pvalue < α ; 0.035 < 0.05 ; Hence, we reject the Null ;

We conclude that There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.

The length of the expert trail is 800 meters. We can find our answer by using given tape diagram and simple mathematical calculations.

What is tape diagram?

A tape diagram is a visual model resembling a piece of tape, that is used to assist with the calculations of ratios and addition, subtraction and commonly multiplication.

Here,

Length of the Beginner trail is 200 meters

And also expert trail is 4 times to Beginner trail.

So, Expert trail = 4 * Length of beginner trail.

     Expert trail = 4* 200

                        = 800 meters.

Hence, we get the answer.

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It can be written as 13/35.

how do we rewrite a fraction.

Divide the numerator by the denominator

Write down the whole number result

Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.

A number that will divide evenly into both the numerator and denominator so it can be reduced, or

The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number

4/5-3/7

⇒4×7-3×5/ 35     ( 5 and 7 have no common divisor).

⇒ 28- 15/35

⇒13/35

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Answer:

Super idol di show lung domini ding shaw

Step-by-step explanation:

Super idol di show lung domini ding shaw

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130.3

85×(23/15) = (X/85) × 85

85×(23/15) = X

X =130.3

The height of the chalkboard is 55.4 in.

A ratio is a relationship between two things when it is expressed in numbers or amounts.

Given that, the aspect ratio in width to height  of a chalkboard is 23:15 and the width is 85 inches,

Let the height be y,

Establishing the ratio,

23/15 = 85/y

y = 15/23x85

y = 55.4

Hence, the height is 55.4 inches.

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Answer:

First term = 64

Step-by-step explanation:

We are given the formula for the nth term of a geometric series to be;

S_n = (a1(1 - rⁿ))/(1 - r)

Where:

S_n is the sum of n terms

A1 is first term

r is common ratio

We are given;

S_112 = 256

r = ¾

Thus;

256 = a1(1 - ¾^(112))/(1 - ¾)

256 = a1(4)

a1 = 256/4

a1 = 64

There must be 46 chairs in each row and total number of chairs are 1058

To meet the given conditions, we need to find a number that has the following properties:

It should be divisible by 2, as there are an even number of chairs in each row.

It should be divisible by 23, as there are 23 rows of chairs.

It should be the same number in each row.

The smallest number that satisfies these conditions is 46, which is the least common multiple of 2 and 23.

So, we need to set up 46 chairs in each row.

The total number of chairs required will be:

Total number of chairs = 23 rows x 46 chairs per row = 1058 chairs

Hence, the total number of chairs are 1058

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Answer:

Explained below.

Step-by-step explanation:

The regression analysis output is as follows:

                       Coefficients          Standard Error         t Stat            P-value

Intercept        7.856710924          1.316226455         5.969118       0.001889

Music Video   0.094781123         0.027926367        3.393965      0.019378

Views

R-sq. = 69.73%

R-sq. (adj) = 63.68%

A

There are two variables used in this study, the independent and the dependent variable.

The independent variable is the number of online music video views and the dependent variable is the number of guitar sales.

B

The coefficient of determination R² specifies the percentage of the variation in the dependent variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).

Thus, the proportion of the variation of guitar sales that is explained by its linear relationship to music video views is 69.73%.

C

The least square regression line is:

\(y=7.856710924+0.094781123\cdot x\)

The least square regression line implies that there is a positive relationship between the guitar sales and music video views. That is as the number of music video views increases the guitar sales increases. And vice-versa.

Thus, increased guitar sales were caused by online music video views.