Graph the function f(x)=−14x−2.

Use the line tool and select two points to graph.

The simplified form of the given inequality is w > -3.

What is inequality?

 When two values are compared, an inequality reveals whether one is bigger than, less than, or simply not equal to the other. The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to one another. The occurrence of an unfair distribution of opportunities and resources among individuals of a certain society is referred to as inequality. To different people and in various contexts, the term "inequality" may mean different things.

Here the given inequality is ,

=> -5w<15

=> -5 *w < 15

=> w>15/-5

=> w > -3.

Hence the correct simplified form of the inequality is w >-3.

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After simplification, the value of y is 7 when x=9.

In the given question, if y varies inversely as x and y=3 when x=21, find y when x=9.

From the given question y varies inversely as x i.e.

y ∝ 1/x

When we remove the inversly sign then their is one variable should be added. Let the variable should be k.

Now the expression is

y = k/x

As we know that y=3 when x=21.

Now putting the value.

3 = k/21

Multiply by 21 on both side, we get

k = 3*21

k = 63

Now the value of k is 63.

Now finding the value of y when x=9

y = 63/9

y = 7

Hence, the value of y is 7 when x=9.

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The graph of x - y = 6 that shows the x and y-intercepts is in the attachment below.

For a linear graph, the x-intercept is point where the line intercepts the x-axis of a graph, of which the value of y is zero at this point. On the other hand, the y-intercept is the point where the line intercepts the y-axis and the value of x at this point is zero.

Given the equation x - y = 6, determine the x and y-intercepts.

To find the x-intercept, substitute y = 0 into the equation x - y = 6:

x - 0 = 6

x = 6

The x-intercept is (6, 0).

To find the y-intercept, substitute x = 0 into the equation x - y = 6:

0 - y = 6

-y = 6

y = -6

The y-intercept is (0, -6).

This means the line will cut the x-axis at 6, and also cut the y-axis at -6. The graph of the equation x - y = 6 is shown below.

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Answer:

x<3

Step-by-step explanation:

4x<5+7

4x < 12

4/4 x < 12/4

x < 3

Answer: 15 !

Step-by-step explanation:

Change the division sign to a multiplication sign and reverse the fraction.

5 x 3/1 = 15

Answer:

arc RP = 136°

Step-by-step explanation:

the inscribed angle PQR is half the measure of its intercepted arc, then

arc PR = 2 × ∠ PQR = 2 × 68° = 136°

A level of confidence of 95% was used in the case above. A table at the back of a statistics textbook can be used to get the value of z* for a certain confidence level. For a 95% confidence level, the value of z* is 1.96.

 An error margin of 3.92 is discovered when the value of z*, the demographic standard error, and the sample size are entered into the equation.

Statistical Estimation's Justification

Where does the confidence interval calculation formula come from?

The population mean's true value is never known; it can only ever be estimated or approximated. The easiest way of doing this is to choose many identical-sized random samples from the population.

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The equation of the absolute value graph is f(x) = |x - 3| + 5

The graph represents the given parameter

From the graph, we can see that the graph is an absolute value graph

An absolute value graph is represented as

f(x) = a|x - h| + k

Where h and k are the vertex of the graph

In this case, they are

h = 3 and k = 5

This is because the minimum point of the graph is (3, 5)

Substitute values for h and k in the form of the equation

So, we have the following representation

f(x) = a|x - 3| + 5

A point on the graph is (2, 6)

This gives

a|2 - 3| + 5 = 6

When the value of variable a is solved, we have

a = 1

So, the equation becomes

f(x) = 1 * |x - 3| + 5

Evaluate the products

f(x) = |x - 3| + 5

Hence, the equation of the graph is f(x) = |x - 3| + 5

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The average of aa and bb is 740.

The result of adding together and dividing by the total number of numbers or variables is the arithmetic mean, which is also known as the average or average value. In statistics, the arithmetic mean is significant. Central tendency is measured using the arithmetic mean. By giving each observation the same amount of weight, it enables us to determine the frequency distribution's center for a quantitative variable (in contrast to the weighted arithmetic mean).

Given,

Arithmetic mean = 1515

Total number of values = 5

Formula:

Sum/Total = Arithmetic mean

33 + 55 + 77 + aa + bb/ 5 = 1515

165 + aa + bb = 7575

aa + bb = 7575 - 165

aa + bb= 7410

The average of aa and bb is 740.

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Answer:

9.7x10^-4

Step-by-step explanation:

The distance between the points (5, 7) and (8,-5) is √13.

The length of the path joining two points determines their distance from one another. It's crucial to know how to calculate the distance between two points when working with graphs. This makes it possible for a learner to estimate how long the line is, which is useful in a variety of circumstances. Using the distance formula is the most typical method of determining the distance.

Points (5, 7) and (8,-5)

Formula:

AB² = (x₂ - x₁)² + (y₂ + y₁)²

AB² = (8 - 5)² + (-5+7)²

AB² = (3)² +(2)²

AB² = 9 + 4

AB² = 13

AB = √13

The distance between the points (5, 7) and (8,-5) is √13.

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The inverse function for the function f(x) = (1 -2x) / 3x is 1/3x+2.

Inverse function:

Inverse function means a function that serves to “undo” another function.

For example,

if f(x) produces y, then putting y into the inverse of f produces the output x.

Given,

Here we have the function f(x) = (1 -2x) / 3x.

Now, we need to find the inverse function f⁻¹.

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables by interchange the value of x by y and the value of y as x.

Then we get,

x = (1 - 2y)/3y

Now, solve the equation

x = (1 - 2y)/2y

for y, then we get,

y = 1/(3x + 2)

Therefore, the inverse function is 1/3x+2.

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Answer: -8

Step-by-step explanation:

Assuming that [tex]x[/tex] is the wind speed and [tex]y[/tex] is the wind chill, we can set [tex]x=58[/tex].

[tex]y=-0.36(58)+12.6 \approx -8[/tex]

The required expression which is equivalent to -51 -(-60) is -51 + 60.

Given that,
Which expression is equivalent to -51 - (-60) is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression =  -51 - (-60)
Simplify by applying the property of distribution under the parenthesis,
= -51 + 60

Thus, The required expression which is equivalent to -51 -(-60) is -51 + 60.

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Answer:

Square root 19 comma, 5,8,30

Answer:5,8,30

Step-by-step explanation: i took a test

The other leg has its length to be 11.49 units

To calculate the length of the other leg distance, we make use of the Pythagoras theorem

Mathematically, this theorem is represented by:

w² = y² + z²

Such that x = hypotenuse, y = leg and  z = other leg

From the question, we have the following parameters

w = 14, y = 8 and z = the other leg

Substituting these values in w² = y² + z²

14² = 8² + y²

Evaluate the exponents

196 = 64 + y²

Evaluate the like terms

y² = 132

Take the square roots of both sides

y = 11.49

Hence, the length of the other leg is 11.49 units

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Answer: 11 units

Step-by-step explanation: i took the test and got it right

Answer: 2

Step-by-step explanation:

This is because it is a scaled copy which means that the smaller has to multiply either by a whole or a fraction and the bigger can be divided by a whole or a fraction in order to be the smaller triangle if that makes sense. so 5*2=10, 12*2=24 thus if you were to divide 10/2=5, 24/2=12.

Answer:

The answer is 2:1

Step-by-step explanation:

This is because it is a 2/1 ratio

The license plate combinations with either three letters then three numbers or three numbers then three letters are 35152000.

The license plate combinations to be made are either three number followed by three letter or three letter followed by three number. we are here assuming that the repetition of the number and letter are allowed.

The number can be any three from 0-9. So, the total choices of number are 10.

The letter can be from A-Z. So, the total choices for letter are 26.

The total choices of the numbers possible are,

ΟΟΟ ΟΟΟ

1 2 3  4 5 6

The first three are the choices of letter and the last three are the choice of number. Two combinations are also possible by interchanging the position of the set of numbers and letters.

So, the possible combinations are,

2 x [26x26x26x10x10x10]

Hence,

The possible combinations for the license plate number are 35152000.

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Use parentheses that may or may not contain parameters directly after the function name to invoke the function.

As part of GAIA, the AI created for Project Zero Dawn in reaction to the Faro Plague, the subordinate functions are a part. The Faro Swarm's deactivation and the planet's terraforming are all objectives of Project Zero Dawn, and they are all accomplished through their extensive suite of subfunctions, each of which is dedicated to a particular purpose.

There are nine supporting roles.

A top engineer on the Zero Dawn project known as an Alpha created each of the nine subordinate functions. They were supported by a project development team made up of professionals in their industry who were well-known throughout the world.

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The time taken for Wilson to paint the bookcase is 50 minutes.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this case, Wilson paints 40% of a bookcase in 20 minutes. It should be noted that 40% = 0.4

Therefore, the time taken to paint the whole bookcase will be:

= Number of minutes / Percentage painted

= 20 / 0.4

= 50

He'll use 50 minutes.

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The equation that represents the cost of the hamburger with additional topping will be c = 0.295t + 3.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A burger consistently cost $6.00 each extra fixing cost $0.59.

Let 'c' be the cost and 't' be the cost of topping. Then the equation is given as,

c = 0.59t + 6

On Monday the expense of the burger just is half off. Then the equation is given as,

c = 0.50(0.59t + 6)

c = 0.295t + 3

The equation that represents the cost of the hamburger with additional topping will be c = 0.295t + 3.

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Answer:

1111

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Product means multiplying sign in math

23*39=897

2. Answer: 897

Answer:

y ≥ -5 and y > 7

Step-by-step explanation:

Collect like terms

-y ≤ 8 - 3

-y ≤ 5

Divide both sides by -1

-1y/-1 ≤ 5/-1

y ≥ -5

And

y > 9 - 2

y > 7

Answer:

Step-by-step explanation:

Finding Slope:

Finding Y-Intercept:

Answer:

1.  Slope = 20

2.  y-intercept = 60

Step-by-step explanation:

The slope of the line is found by dividing the change in y by the change in x or "rise over run":

[tex]\implies \textsf{slope}\:(m)=\dfrac{\textsf{change in $y$}}{\textsf{change in $x$}}=\dfrac{80-60}{2-1}=\dfrac{20}{1}=20[/tex]

The slope of the line for the given situation is the fee per class. Therefore, there is a $20 fee for each class a customer at the gym attends.

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The y-intercept is the y-value at the point at which the line intercepts the y-axis, so when x = 0.

From inspection of the given graph, y = 60 when x = 0.

[tex]\implies \textsf{$y$-intercept}=60[/tex]

The y-intercept of the line for the given situation is the membership fee for the gym.  Therefore, the membership fee for the gym is $60.

Answer:

4f+10

Step-by-step explanation:

multiply the 2 to both the numbers in the parenthesis. 2 times 2f is 4f and 2 times 5 is 10

Answer:

[tex]3\frac{3}{4}[/tex] seconds

Step-by-step explanation:

So you travel 800 feet in 10 seconds. If you divide that by 2, then you travel 400 feet in 5 seconds, or 100 feet in 5/4 seconds. Multiply by 3 to get 300 feet in 15/4 seconds, or 15 feet in [tex]3\frac{3}{4}[/tex] seconds.

a) x = -6 to x =4

[tex](x_{1} , y_{1} ) (x_{2} , y_{2} ) = (-6,1) (4,3)[/tex]

Slope(m)[tex]= \frac{Y_{2}-Y_{1}}{x_{2}-x_{1}}[/tex]

               [tex]= \frac{1-3}{-6-4-}[/tex]

               [tex]= \frac{-2}{-10}[/tex]

               [tex]m = \frac{1}{5}[/tex]

Slope (m) of the function is 1/5.

b) x = -2 to x = 2

[tex](x_{1} , y_{1} ) (x_{2} , y_{2} ) = (-2,-1) (2,-3)[/tex]

slope (m)[tex]= \frac{Y_{2}-Y_{1}}{x_{2}-x_{1}}[/tex]

[tex]= \frac{-3-(-1)}{-2-2}[/tex]

[tex]= \frac{-2}{-4}[/tex]

slope(m) [tex]= \frac{1}{2}[/tex]

Slope(m) of the given function is 1/2.

What is fraction ?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

In a simple fraction, both are integers.

A complex fraction has a fraction in the numerator or denominator.

In a proper fraction, the numerator is less than the denominator.

Define slope(m)?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

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Yes, the two quantities have a proportional relationship because the variables x and y all have the same constant of proportionality.

Mathematically, a proportional relationship can be represented or modeled with the following mathematical expression:

y = kx

Where:

In order for the two quantities to have a proportional relationship, the variables x and y must remain in a constant ratio.

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 2/3

When x = 90 and y = 60, we have:

Constant of proportionality (k) = 60/90

Constant of proportionality (k) = 2/3

When x = 120 and y = 80, we have:

Constant of proportionality (k) = 80/120

Constant of proportionality (k) = 2/3

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