Find the equation of the linear function represented by the table below in slope-intercept form.X1234y-3-7-11-15

The inequality is represented by x<40

An inequality compares two values and indicates whether one is lower, higher, or just not equal to the other.

A B declares that a B is not equal.

When a and b are equal, an is smaller than b.

If a > b, then an is bigger than b.

The phrase "a b" denotes that an is less than or equal to b.

When a and b are equal, it is said that an exceeds b.

Let the employees of the company be denoted by x.

So, as given the employees work less than 40 hours.

Thus the inequality can be represented as x< 40.

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Since the given equation is

Since (-3, 2) is its solution which means the graphs of each side are intersected at point (-3, 2)

To verify the solution, substitute x by -3 on each side

If the two sides are equal, then the point is the solution to it

Let us do the same with the right-hand side

L.H.S = R.H.S = 10

This means the value of y = 10, not 2

Then (-3, 2) is not a solution of the given equation

Now we will draw each side, then find the point of intersection between them

From the graph, the solutions are the intersection points between the line and the graph

The two points are (-3, 10) and (2, 5)

The number of three digit number formed are-

For the given question;

The three digit number is to be formed.

The digits are given as-  1,2,6,7,8

Case 1: Repetition allowed

The number of combination will be;

= 5×5×5

= 125

Thus, the number of three digit number formed with repetition is 125.

Case 2: Repetition not allowed

The number of combination will be;

= 5×4×3

= 60

Thus, the number of three digit number formed with without repetition is 125.

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The net decimal equivalent is 0.48, 0.27, and 0.12 when a series of discounts of 48%, 27%, and 12% are applied respectively.

The percentage is defined as a ratio expressed as a fraction of 100.

By multiplying the complement of the discounts collectively, one can determine the net decimal equivalent which is given in the question.

To determine the net decimal equivalent when a series of discounts of 48%, 27%, and 12% is applied.

The value of compliment (%) = 1/100

As per the given condition, the required discounts would be as:

discount of 48% = 48/100 = 0.48

discount of 27% = 27/100 = 0.27

discount of 12% = 12/100 = 0.12

Therefore, the net decimal equivalent is 0.48, 0.27, and 0.12 when a series of discounts of 48%, 27%, and 12% are applied respectively.

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Since Mikah invented and patented a new product which sells in local department stores, this is an example of: D. passive income.

An income simply refers to an amount of money that an individual or business organization (company or firm) earn in return for the sales of its product or for providing a service, to its customers and consumers.

In Economics, there are three (3) main types of income and these include the following:

In Business management, a passive income generally requires minimal amount of labor from an individual or business organization (company or firm) and as such it is typically earned from rental products or patented products, which is usually on a regular basis.

In this context, we can reasonably infer and logically deduce that Micah's income is an example of passive income.

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If Samuel ran for 30 minutes covering 4.5 miles, swim for 20 minutes covering 2/3 miles and biked for 45 min covering 9 miles, then the Samuel's average speed during his morning training is 0.15 miles per minute

The Morning activities of Samuel

He ran for 30 minutes, covering 4.5 miles,

He swim for 20 minutes covering 2/3 miles

He biked for 45 minutes covering 9 miles

Total distance travelled = 4.5+ 2/3 +9

= 14.17 miles

Total time taken = 30+20+45

= 95 minutes

The average speed = Total distance / Total time taken

= 14.17/95

= 0.15 miles per minutes

Hence, if Samuel ran for 30 minutes covering 4.5 miles, swim for 20 minutes covering 2/3 miles and biked for 45 min covering 9 miles, then the Samuel's average speed during his morning training is 0.15 miles per minute

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The slope of a straight line is given by the following expression:

By looking at the graph we have two locate two pairs of coordinates: Coordinate 1 (2,0) Coordinate 2 (-4,0).

Now we replace on the slope formula, having:

Pair of coordinates, coordinate 1 (2,0) coordinate 2 (3,2)

Step-by-step explanation:

plug in y=(⅓)x+1 to a graphing calculator and it gives you the answer

Answer: x values make sure they don't repeat if they do its not a function.

Answer:

n=2.2

Step-by-step explanation:

1-Combine- [-6.5n(n-5)=18.2

-13(n-5)/2=18.2

2-Distribute-13n-5)/2=18.2

-13n+65/2=18.2

3-Multiply like terms-

-13n+65/2=18.2 [tex]2.-13n+65/2=18.2*2[/tex]

4-Multiply all the numbers=[tex]-13n+65=36.4[/tex]

5-Subtract 65 from both sides- -13n+65-65=36.4-65

6-Simplify= -13n=-28.6

7- Divide both sides by the factor e.g= -13n

8- Simplify= -13n/-13n=-28.6/-13n

QA Answer\Solution amounts to= [tex]2.2[/tex]

2(x) + 2(x+7)= 62

4x+14=62

4x=58

x=14.5

width= 14.5

length=21.5

The probability that exactly 4 bulbs from the sample are defective is; 0.2812

The formula for binomial probability distribution is;

P(X = x) = nCx * p^(x) * (1 - p)^(n - x)

where;

p = probability of success

n = number of trials, or the sample size

x = the number of successes in the probability

Now, we are given that;

Sample size; n = 19

Number of successes in the probability; x = 4

probability of success; p = 20% = 0.2

Thus;

P(X = 4) = 19C4 * 0.2^(4) * (1 - 0.2)^(19 - 4)

P(X = 4) = 0.2182

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When a molding is randomly selected from the early morning run of a random day, what is the probability that it is defective is 0.1051

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Probabilities can be written as percentages with values between 0 and 1.

From the information, the foreman for an injection-molding firm admits that on 29% of his shifts, he forgets to shut off the injection machine on his line.

The probability that the selected molding is defective will be:

= P(forgets to shut off and defective molding) + P(not fingers to shut off)

= 29% × 24% + (1 - 29%) × 5%

= 0.29 × 0.24 + 0.71 × 0.05

= 0.0696 + 0.0355

= 0.1051

The probability is 0.1051.

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Answer:

109.1 and 70.9 are supplementary angles

Step-by-step explanation:

The measure of an angle is 70.9°. What is the measure of its supplementary angle?

Supplementary angles are two angles that sum together to 180 degrees:

180 - 70.9 = 109.1 degrees

The probability of randomly selecting a student who spent the money, given that the student was given four quarters is 0.7. The  probability of randomly selecting a student who kept the money is 0.3.

1. Probability of student who spent the money

Probability = 28 / (28 +12)

Probability = 28 / 40

Probability = 0.7

2. Probability of student who kept the money,

Probability = 12 / (28 +12)

Probability = 12 / 40

Probability = 0.3

3. The preceding results suggest : d) A student given four quarters is more likely to have spent the money.

Therefore the probability is 0.7 and 0.3.

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iven:: △TVX is equilateral.

To prove: △TUV≅△XWV

The given proof is completed and attached below:

he proogf is complete.

The equation applies the associative property of multiplication is ​−512⋅(65⋅13)⋅92=(−512⋅65)⋅(13⋅92)​.

The associative property of multiplication can be described as the law that is been used in making calculation that involves using the multiplication operation.

When using the associative property of multiplication law, we will need to associate, which means we will join together the given terms which can be done in different ways irrespective of how it is been grouped together and this can be seen in the option B , because the result of the multiplication using the distributive property gives us (−512⋅65)⋅(13⋅92)​.

Therefore, option B is correct.

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Applying the similarity theorem, the value of x is calculated as: x = 3.5.

When two triangles are similar to each other, based on the similarity theorem, the ratio of their corresponding side lengths will be equal because they are proportional to each other.

In the image given, triangle ABC is similar to triangle ADE. Therefore:

AB/AD = BC/DE = AC/AE

Given the following:

AB = 4 units

AD = 4 + 3 = 7 units

BC = 2 units

DE = x

Plug in the values into AB/AD = BC/DE:

4/7 = 2/x

Cross multiply

4(x) = 2(7)

4x = 14

Divide both sides by 4

4x/4 = 14/4 [division property of equality]

x = 3.5

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There are 4 ounces of lime juice in 52 ounces of punch, let represent the number of ounces of lime juice in 130 ounces of punch, there are 1690 ounces of the lime juice in 130 ounces of punch.

A number of distinct units of mass, weight, or volume are derived from the uncia, an ancient Roman unit of measurement, including the ounce, which is almost unmodified.

'Ounce' is also used in the following other contexts:

A unit of the force is the ounce-force (see below).

A unit of the volume is the fluid ounce.

A multitude of distinct ounces measuring mass or volume have been employed historically by various trades at various times and in various countries.

Since,

Ounces of the lime juice=4

Ounces of the punch=52

Ounce needed for 1 punch=52÷4=13

Ounces needed for 130 ounces of the punch=13×130=1690

Therefore, the ounces of the lime juice needed for 130 ounces of punch=1690.

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First number (x) = 88

Second number (9x) = 792

Third number (x + 100) = 188

Let x be the first number, so accordingly the second number will be 9 times x i.e., 9x and the third number will be 100 more than the first number i.e., x + 100

Now, put all the numbers into an equation of finding their sum,

First no. + Second no. + Third no. = SUM, i.e.,

x + 9x + (x+100) = 1068

Simplify,

x + 9x + (x+100) = 1068

x + 9x + x +100 = 1068

11x + 100 = 1068

11x = 1068 - 100

11x = 968

x = 968/11

First number (x) = 88

Second number (9x) = 792

Third number (x + 100) = 188

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The domain of a function is the set of all x-values the function can take.

Since we have a radical symbol, (x² - 1) must not be equal to a negative number because it will make the function undefined.

For the function (x² - 1), the value of x must be greater than 1 or less than -1 in order for the function to be defined.

If for instance, the value of x is 0.5, the value of (x² - 1) will be -0.75 and the square root of a negative number is undefined. Therefore, we must not have an x-value that is less than 1 or greater than -1.

Hence, the domain of this function in interval notation is:

In set notation, it is {x|x ≤ -1, x ≥ 1}.

In order to graph the function, let's assume some values of x that are found in the domain.

For the domain, x ≤ -1, we can assume x = -1, x = -2, and x = -3.

At x = -1, y = 1.

At x = -2, y = 3.73

At x = -3, y = 5.83.

For the domain x ≥ 1, we can assume x = 1, x = 2, and x = 3.

At x = 1, y = -1.

At x = 2, y = -0.268

At x = 3, y = -0.172.

Let's plot the 6 coordinates. The graph of this function, with limits indicated, is shown below.

The approximate size of Jorge's wrist is 8.5 inches.

For the given question;

For average adults, the size of the wrist is 1/4 of the size of the waist.

The waist size of the Jorge is 34 inches.

Thus, to calculate the wrist size of Jorge, simply multiply the fraction 1/4 with 34.

= 34 × 1/4

= 8.5

Therefore, the wrist size of the Jorge is found as 8.5 inches.

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The statement which is true about Function A and Function B is that: C. The initial value for Function A is greater than the initial value of Function B.

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

Slope A = (0 - 2)/8 - 0)

Slope A = -2/8

Slope A = -1/4 or -0.25.

Note: The slope of any straight line also represents its rate of change.

Rate of change of Function A = -0.25.

Rate of change of Function B = 4.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁)

At point (0, 2), we have:

y - 2 = -1/4(x - 0)

y - 2 = -x/4

y = -x/4 + 2.

Therefore, the intercept (initial value) of Function A is greater than the intercept (initial value) of Function B.

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Consider the given expression,

The expression can be transformed as,

Since 7 is a common factor, take it as common,

Thus, the expression is obtained that,

Therefore, option (B) is the correct choice.

The range of the given data set is 18.

What is range in statistics?
The difference between the highest and lowest values for a given data collection is the range in statistics. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations. In statistics, we must put the given values, set of data, or set of observations in ascending order in order to determine the range. That indicates that you should start by writing the observations from lowest to highest value. The formula must now be used to determine the range of observations, which is:
Range = Highest Value – Lowest Value = Highest observation – Lowest observation = Maximum value – Minimum Value

Given, the data set is 79, 91, 76, 87, 93, 79,94.
The data in ascending order is : 76, 79, 79, 87, 91, 93, 94.
From the data set, highest value = 94, lowest value = 76
Thus, Range = Highest value - Lowest value = 94 - 76 = 18
Therefore, range of the given data set is 18.

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Answer: y=3/2x-27.5

Step-by-step explanation:

you use y=3/2x+b

So plug (13,-8) in the equation so,

-8=3/2(13)+b

-8=39/2+b

-27.5=b

So y=3/2x-27.5

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The number that has a greater value in the thousands place is 16,918.

Given numbers are sixteen thousand, nine hundred eighteen,(16,918), and 64,704 on the board.

The thousand places in both numbers contain the digits 6 and 4.

The place value of 6 in 16,918 is expressed as 6 thousand or 6,000.

The place value of 4 in 64,704 is expressed as 4 thousand or 4,000.

As 6000 > 4000, the number that has a greater value in the thousands place is 16,918.

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Answer:

Step-by-step explanation:

174/12= 14.5 hours of work to earn enough to buy the smartphone.

12x14.5 = 174

the answer could be 14.5 for the minimum amount of time needed but if it asks for full hours then 15 hours.

First angle is 3x° = 3 × 40° = 120°

and, Second Angle is = (x + 20°) = 40° + 20° = 60°

Given,

Lines m and n are parallel (m ll n)

Adjacent Interior Angles are given i.e.,

3x and (x + 20°)

and, To find the value of x

Now, According to the question:

m ll n

So, The two lines are parallel and complementary to the

3x° + (x + 20°) = 180° (Adjacent Interior Angles)

4x°+ 20° = 180°

4x° = 180° - 20°

4x° = 160°

x = 40°

Hence, First angle is 3x° = 3 × 40° = 120°

and, Second Angle is = (x + 20°) = 40° + 20° = 60°

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Answer:

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.