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The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:

15 minutes

Step-by-step explanation:

2 pages = 3 minutes

45 pages = 3x minutes

45 / 3 = 15

Answer:

\(\boxed {\sf x=6}\)

Step-by-step explanation:

\(\sf 5(x - 3) + 2 = 5(2x - 8) - 3\)

Use the Distributive property :

\(\boxed { \sf Multiply\: 5\: by \:x\: and \:5\: by\: 3:}\)

→ \(\sf 5x-15+2\)

→ \(\sf -15+2\)

\(\sf =-13\)

\(\sf 5x-13\)

______________________

\(\sf 5\left(2x-8\right)-3\)

\(\boxed {\sf Multiply\: 5 \: by \: 2x \: and \: 5\: by\: -8:}\)

→ \(\sf 10x-40-3\)

→ \(\sf -40-3=-43\)

\(\sf 10x-43\)

_______________

\(\sf 5x-13=10x-43\)

\(\boxed {\sf Add\: 13 \:to\: both\: sides:}\)

\(\sf 5x-13+13=10x-43+13\)

\(\sf 5x=10x-30\)

\(\boxed{\sf Subtract\: -10x\: from\: both\: sides:}\)

\(\sf 5x-10x=10x-30-10x\)

\(\sf -5x=-30\)

\(\boxed{\sf Divide \:both \:sides\: by \:-5:}\)

\(\sf \cfrac{-5x}{-5}=\cfrac{-30}{-5}\)

\(\sf x=6\)

___________________________

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

5(x - 3) + 2 = 5(2x - 8) - 3

Step 2: Solve for x

Answer:

1/27

Step-by-step explanation:

3 to the power of negative 3 is = to 1/3³ which is = to 1/27

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

In any triangle, the sum of the interior angles of two vertices is equal to the exterior angle of the other vertex.

Using this property, we can write the following equation:

The value of y is equal to 15, therefore the correct option is A.

Journalize the adjustment entries on August 31 for the $500 in golf income during the three-month period from June 1 to August 31.

By dividing the principal by the interest rate, the passage of time, and other factors, simple interest is determined. Simple return equals principal plus interest plus hours is the formula used in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating interest is as a portion of the principal amount. For example, if he borrows $100 from a buddy and agrees to pay back the loan at 5% interest, he will only pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must charge interest when you lend it. Typically, interest is determined as an annual percentage of the loan total. The loan's interest is the name given to this percentage.

given

First FMA Assignment

Jornal 1.

2. Accounts Title Date (Mar) Debit ($) Credit ($)

1 Cash 60,000

60,000 Common Stock

3 Land 23,000

Structures 9,000

6k in equipment

Cash 38,000

5) Marketing Costs 1,600

Cash 1,600

Golf Sales 800

19) Cash (100 x 15) 1,500

1,500 in unearned revenue

25,000 dividends

Cash 1,000

30) salaries and 600 in expenses

Cash 600

30) Payable Accounts 26,000

Cash 26,000

31) Cash 500

500 Golf Revenue

Journalize the adjustment entries on August 31 for the $500 in golf income during the three-month period from June 1 to August 31.

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Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

-7/6, 12 is your focus

Step-by-step explanation:

Answer: 1= A/w

Step-by-step explanation:

Answer:

j = 12

Step-by-step explanation:

j + (-3) = 9

j = 12

Answer:

x^2 + 8x + 15

Step-by-step explanation:

( x + 3 ) ( x + 5 )

1. distribute

( x + 3 ) ( x + 5 )

x^2 + 3x + 5x + 15

2. simplify

x^2 + 8x + 15

Answer:

0.350 km

Step-by-step explanation:

Hi there !

35000 cm = 35000/100 m = 350 m

350 m = 350/1000 km = 0.350 km

Good luck !

Answer: The probability that both events A and B will occur is 5/18 or 0.28.

Step-by-step explanation:

To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.

Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.

Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.

To find the probability that both events A and B occur, we multiply the probabilities:

Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.

The graph of the compound inequalities with intersection points

(2.21, -0.63) is given below.

Please see the graph attached.

A compound inequality has two inequality statements joined either by the "or" or “and.”

We have,

6x+2y<12 or x-6y>6

We can graph each inequality.

And we also need to see the intersection between the inequalities.

Let,

6x + 2y = 12____(1)

x - 6y = 6_______(2)

From (1)

x = (12 - 2y ) / 6 put in (2)

(12 - 2y) / 6 - 6y = 6

2 - 1/3y - 6y = 6

2 - 6 = (1/3)y + 6y

-4 = 19y / 3

y = -12 / 19

y = - 0.63 put in (1)

6x + 2 x (-0.63) = 12

6x = 12 + 1.26

x = 13.26 / 6

x = 2.21

The point of intersection on the graph is (2.21, -0.63).

Thus the graph of the compound inequalities with intersection points (2.21, -0.63) is given below.

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Answer: B. 1.414

Step-by-step explanation:

let x be the random variable denotes the number of die.

Numbers on 5-faced die = 1,2,3,4,5

Probability of getting any number = \(\dfrac{1}{5}\)

Mean = \(\bar {x}=\sum p_ix_i\)

\(\\\\\Rightarrow\bar{x}=\dfrac{1}{5}(1)+\dfrac{1}{5}(2)+\dfrac{1}{5}(3)+\dfrac{1}{5}(4)+\dfrac{1}{5}(5)\\\\=\dfrac{1}{5}(1+2+3+4+5)\\\\=\dfrac{1}{5}(15)=3\)

Standard deviation: \(\sigma=\sum \sqrt{\dfrac{(x_i-\bar{x})^2}{N}}\)

\(=\sqrt{\dfrac{(1-3)^2+(2-3)^2+(3-3)^2+(4-3)^2+(5-3)^2}{5}}\\\\=\sqrt{\dfrac{4+1+0+1+4}{5}}\\\\=\sqrt{\dfrac{10}{5}}\\\\=\sqrt{2}\approx1.414\)

Hence, the standard deviation of the random variable x is 1.414.

Thus, the correct option is B.

Given the equation:

Solving for x:

Now, we take the square on both sides of the equation:

Now, using the general solution of quadratic equations:

From the problem, we identify:

Then, the solutions are:

But the original equation √(x), so x can not be negative if we want a real equation. Then, the only real solution of the equation is:

By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

Given:

- Triangle ΔAEB and ΔDFC

- Line ABCD is straight (implies AC and BD are collinear)

- AE is parallel to DF

- EB is parallel to FC

- AC = DB

To prove: ΔEAB ≅ ΔFDC

Recall that:

AE || DF

EB || FC

AC = DB

AE || DF, EB || FC (Parallel lines with transversal line AB)

Corresponding angles are congruent:

  ∠AEB = ∠DFC (Corresponding angles)

  ∠EAB = ∠FDC (Corresponding angles)

Corresponding sides are proportional:

  AE/DF = EB/FC (Corresponding sides)

  AC/DB = BC/DC (Corresponding sides)

  AC = DB

  BC = DC (Equal ratios)

ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)

∠EAB = ∠FDC

∠AEB = ∠DFC

AC = DB, BC = DC

Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

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The polynomial 9 · x² - 6 · x - 4 = - 5 has a discriminant equal to 0 and two same real roots.

Quadratic equations are polynomials of the form:

y = a · x² + b · x + c

Where:

The discriminant is a real number determined by the following formula:

D = b² - 4 · a · c

There are three cases for discriminants:

First, write the polynomial in standard form:

9 · x² - 6 · x + 1 = 0

Second, calculate the value of the discriminant:

D = (- 6)² - 4 · 9 · 1

D = 36 - 36

D = 0

The polynomial has two same roots.

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Answer:

There is no variable so -3 therefore cannot be a solution to this.

Answer:

The answer is: NOt applicable

Step-by-step explanation:

The equation comes down to -2=6 which is impossible

Answer:

D.

Step-by-step explanation:

It's the most miles.

The graphs of y = x + 1 and y = 2^x intersect at approximately (-0.3517, 0.6483) and (1.561, 3.561).

To find the points of intersection between the graphs of y = x + 1 and y = 2^x, we need to set the two equations equal to each other and solve for x.

Setting y = x + 1 equal to y = 2^x, we have:

x + 1 = 2^x

To solve this equation, we can use numerical methods or make observations to find the points of intersection. By observing the behavior of the two functions, we can see that they intersect at two points: one when x is negative, and another when x is positive.

For x < 0, the exponential function y = 2^x approaches 0 as x approaches negative infinity, while the linear function y = x + 1 continues to decrease as x becomes more negative. Thus, there is one point of intersection in this region.

For x > 0, the exponential function grows faster than the linear function, so there is another point of intersection in this region.

However, finding the exact values for the points of intersection requires numerical methods such as using a graphing calculator or solving the equation numerically. Approximate values for the points of intersection can be found as x ≈ -0.3517 and x ≈ 1.561.

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Based on Simple Interest, 8125 was invested at the rate 1.7%.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Although some mortgages employ this calculation approach, this kind of interest typically relates to auto loans or short-term loans.

> The daily interest rate, the principle, and the number of days between payments are multiplied to determine simple interest.

> Consumers who pay their loans off on time or ahead of schedule each month benefit from simple interest.

> Simple interest loans are frequently used for auto loans and short-term personal loans.

Let the amount at 1.7% be x. Then:

\(0.017x+0.023(\frac{(25000-x)}{2}) +0.024(\frac{(25000-x)}{2})=535\)

\(0.023+0.024 = 0.047 \\\frac{0.047}{2} = 0.0235\)

Now we got rid of the two divisions. Rewrite the equation:

\(0.017x+0.0235(25000-x) = 535\)

\(0.017x+587.5-0.0235x = 535\)

\(-0.006x = -52.5\) Divide both sides by -0.006 and remember -/- = +

x = 8750

This is how much was invested at 1.7% The rest, the problem says, was invested in equal amounts:

\(25000-8750 = 16250\); \(\frac{16250}{2}=8125\) So, 8125 was invested each at 2.3% and 2.4%

Based on Simple Interest, 8125 was invested at the rate 1.7%.

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Answer: B

5

Step-by-step explanation:

Answer:

5(B)

Step-by-step explanation:

Edge

The difference in the maximum values of the functions ​g(x) ​and ​f(x)​ is 3

The functions are given as

f(x) = -(x - 3)² + 9

Table of g(x)

x    −3 −4 −2 0 −1  4

g(x) 0   8   1  12  2  8

The maximum value of f(x) is when the root expression is 0

i.e. -(x - 3)² = 0

So, we have

Max f(x) = 0 + 9

Max f(x) = 9

For the table of values, we have

Max g(x) = 12

The difference between these values is

Difference = 12 - 9

Evaluate

Difference = 3

Hence, the difference is 3

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Answer:

-0.28, 1.78

Step-by-step explanation:

Plug it into a graphing calculator and see you have -0.281 as a intersection as well as 1.781. Then you round to the nearest hundred and get -0.28 and 1.78.

The current assets total of  Reese Corp. at December 31, 2014 is $5,555,000

What are current assets?

Current assets are short-term resources owned by Reese Corp. which are used in its daily operations such as the cash, accounts receivable as well inventory of goods and services.

In other words, in a bid to determine the current assets total, we sum up the cash, accounts receivable and the inventory of the company since there are no other current assets aside the aforementioned ones.

Current assets total=cash+ accounts receivable+ inventory

cash=$775,000

accounts receivable=$2,695,000

inventory=$2,085,000

current assets total=$775,000+$2,695,000+$2,085,000

current assets total=$5,555,000

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The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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Answer:

40

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Step-by-step explanation:

4÷1/2=8

5×8=40

Answer:

-21

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Let's break it down. -3+5 is 2. 2+-5 is -3. -3 plus 8 is 5