Consider the following compound inequality. 7

Looking at the graph of f(x), we can see that some values of y have two corresponding values of x.

Since the inverse function changes y with x and vice versa, there will be values of x that will have more than one corresponding value of y, this way it will not be a function.

In order to ensure that f(x) has an inverse function, we need a domain restriction that makes every value of y have only one corresponding value of x.

The domain restrictions that cause every value of y to have only one corresponding value of x are:

x >= -1

x <= -1

0 <= x <= 3

Therefore the correct options are the first, third and fourth options.

Undersatanding number properties helps you to solve equation because we can transfom ans simplify any equation in a way we just have to add or rest numbers. for example when you go shopping and there is a sale or a promotion, knowing this properties would help you to get the best price.

Given:

2(3x - 1)

Let's distrubute 2 to the terms in the parenthesis.

To distribute, use distributive property to distribute 2 to (3x - 1).

Thus, we have:

2(3x - 1)

= 2(3x) + 2(-1)

= 6x + -2

= 6x - 2

ANSWER:

6x - 2

Answer:

Sydney should be 25 years old

Step-by-step explanation:

Answer:

Sydney is 38 years old.

Step-by-step explanation:

Devaughn is 46 years old, so 46 + 38 = 84.

Subtract 38 from 46.

46 - 38 = 8.

This concludes that Sydney is 38 years old.

Brainliest would mean a lot to me! Thanks!

Step 1

Step 2

Find how many chips Taylor made or lost during these 3 rounds.

Since the total number of chips made or lost = -15, then Taylor lost 15 chips during the 3 rounds. If it where to be positive, then it woud have ment Taylor won some chips.

Therefore, Taylor lost 15 chips in the 3 rounds

Answer:

14 ft

Step-by-step explanation:

Area is length times width. So, you need to find something times 10 that equals 140. Or, you could just do 140 divided by 10. 140/10=14.

There is 30 ‘g’s in the club by using proportions.

Mathematically compare two numbers by comparing them proportionally. In terms of proportion, two sets of given numbers are said to rise or decrease in the same ratio if they are directly proportionate to one another.

Two ratios are said to be in proportion when they are the same. For instance, a train needs to cover 250 kilometers in 5 hours if it is moving at a speed of 50 kilometers per hour. 250 km/5 hours at 50 km/h, for instance.

Given, for 5 ‘g’ there are 4 ‘b’

There are 24 ‘b’ in drama club,

g = 24/4×5

g=30

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Answer:

  f(x) = 5/6x +21

Step-by-step explanation:

You want the equation of the line with slope 5/6 through point (-18, 6) written using function notation.

Given a slope and a point, it can be useful to write the equation of the line in point-slope form:

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

The line of interest has slope m = 5/6 through point (h, k) = (-18, 6), so its equation can be written as ...

  y -6 = 5/6(x -(-18))

  y = 5/6x +15 +6 . . . . . eliminate parentheses, add 6

  y = 5/6x +21

Function notation gives a name to the relation, and identifies the independent variable. We want to call this f(x), meaning the name of the relation is "f", and the independent variable is "x". Essentially, "f(x)" replaces "y" in the above equation:

  f(x) = 5/6x +21

Part (a)

The dependent variable should be y for a function y=f(x).

Therefore, in this case dependent variable is profit

Part (b)

The independent variable is number of tickets sold.

Part (c)

Consider two coordinates in the graph (40,60) and (20,30).

Then, the slope will be,

Therefore, the avlue of slope is 1.5.

Part (d)

The slope is the rate of change profif with repect to the number of tickets sold for a circus.

Part (e)

From the graph, it can be noted that the y intersept is 0. Because intitial point is (0,0).

The probability that among 4 randomly selected Internet​ users, at least one is more careful is 0.988.

Because of the bias toward convenience when retrieving the sample, the outcome might be higher. because respondents to the survey were chosen voluntarily, not at random.

Calculating the likelihood of an event occurring, which is represented as a number between 1 and 0, is the subject of the mathematical branch known as probability. A coin toss, for instance, has a probability of 1 because, assuming the coin lands flat, there are only two possible outcomes: "heads" or "tails."

This means that any event with this probability is guaranteed to occur. For instance, a coin toss has an equal chance of coming up "heads" or "tails," so an event with a probability of.5 can be regarded as having equal odds of happening or not happening.

According to the poll, 67​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot.

Which means the probability of more careful is 0.67

And probability of not careful is: 1-0.67 = 0.33

We have selected four random Internet​ users and we need to find the probability that at least one is more careful about personal information.

P(At least one careful) = 1 - P(None of them careful)

P(At least one careful) = 1 - (0.33×0.33×0.33×0.33)

P(At least one careful) = 1 - 0.012

P(At least one careful) = 0.988

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162.4736842 is 9261 divided by 57

Answer:

Step-by-step explanation:

We can rewrite:

15(2x-10) + 4x = -2(15x+4)

gives

30x - 150 + 4x = -30x -8

Adding 30x on both sides and adding 150 on both sides gives us:

30x + 4x - 150 + 30x + 150 = -30x - 8 + 150 + 30x

which gives us: 64x = 142

We can now divide both sides by 64, which gives us:

x = 142 / 64 = 2.21875

So the only right answer is A

You can fill in all the other options into the starting equation if you want too see this is indeed true

The workout plan A lasts 1 hour and 30 mins and the workout plans B last around 30 mins only, solved through elimination method.

The equations are either added or subtracted to create an equation in one variable when using the elimination method. When two variables' coefficients are in opposition to one another, you add the equations to eliminate that variable, and when they are equal, you subtract the equations to do the same.

Let the time taken for plan A be x

and the time taken for plan B be y

Then the equation forms

Wednesday = 5x + 3y = 9 hours

Thursday = 2x + 12y =  9 hours

Lets solve this with elimination method

5(2x + 12y = 9 hours)

-2(5x + 3y = 9 hours)

⇒ 10x + 60y = 45 hours    

  -(10x + 6y = 18 hours)

     0 + 54y = 27 hours

⇒ y = 27/54 hours

   y = 1/2 hours

   y = 30 mins

Substituting the value of y in 2x + 12y =  9 hours,

2x + 12(0.5)=  9 hours

2x + 6 = 9 hours

2x = 3 hours

x = 3/2 hours

x = 1 hour 30 mins

Thus, the workout plan A lasts 1 hour and 30 mins and the workout plans B last around 30 mins only.

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Equation of the line that passes through the points in the table:

x=0,1,2,3

y=10,7,4,1

is y = -3x + 10

What is Equation of the Line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Key Concept. Y = mx + c is the equation for a straight line with a gradient of m and an intercept of c on the y-axis.

Since, The Equation of the line:

y = mx + b

where m is the slope

For finding slope passing through (0,10) and (1, 7)

m = (y2 - y1)/(x2 - x1)

m = (7 - 10) / (1 - 0)

m = -3/1

m = -3

Therefore, the slope of the line is −3.

Now use the slope and either of the two points to find the y-intercept.

y=mx+b

10 = (-3)(0) + b

10 = b

Write the equation in slope intercept form as:

y=mx+b

y = -3x + 10

Hence, the equation of the line is y = -3x + 10

Now, for other two points (2, 4) and (3, 1)

For finding slope passing through (2, 4) and (3, 1)

m = (y2 - y1)/(x2 - x1)

m = (1 - 4) / (3 - 2)

m = -3/1

m = -3

Therefore, the slope of the line is −3.

Now use the slope and either of the two points to find the y-intercept.

y=mx+b

4 = (-3)(2) + b

4 = -6 + b

4+6 = b

b = 10

Write the equation in slope intercept form as:

y=mx+b

y = -3x + 10

Hence, the equation of the line is y = -3x + 10

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SOLUTION:

Case: Present Value

Present Value is the value of an expected income stream determined as of the date of valuation. The present value is usually less than the future value because money has interest-earning potential.

Part 1

Sentence:

The Present Value is the Future Value divided by 1 is added to the rate of returns(i), raised to the number of periods(nt).

Part 2:

Present Value of Ordinary Annuity

C is the annuity payment deposited or received at the end of each period.

i= discount or interest rate per period

n= number of periods.

The factor with interest rate and the number of periods is multiplied by annuity payments

Part 3:

Present value of Annuity due

C is the annuity payment deposited or received at the end of each period.

i= discount or interest rate per period

n= number of periods.

The factor with interest rate and the number of periods less 1 is multiplied by annuity payments and then added again to the annuity payments

Example of Part 1 (Present Value)

What is $56000 in 5 years time worth now, at an interest rate of 10%?

Answer:

28th 5577e535r5ytt

Step-by-step explanation:

so h just Aliquippa well all am to PIZ well keep.

The value of the following composite function is as follows:

The composite functions can be solved as follows:

Therefore, the given function are:

f(x) = x² - x

g(x) = 3x + 9

Hence,

a.

(f + g)(-2) = f(-2) + g(-2)

f(-2) + g(-2) = (2)² - 2 + 3(-2) + 9

f(-2) + g(-2) = 4 - 2 - 6 + 9

f(-2) + g(-2) = 5

Therefore, the function (f + g)(-2) = 5

b.

(f - g)(-2) =  f(-2) - g(-2)

f(-2) - g(-2) = (2)² - 2 -  (3(-2) + 9)

f(-2) - g(-2) = 4 - 2 - 3

f(-2) - g(-2) = -5

Therefore, the function (f - g)(-2) = - 5

c.

(fg)(-2)= f(-2) × g(-2)

f(-2) × g(-2) = (-2)² - (-2) ×  3(-2) + 9

f(-2) × g(-2) = 4 + 2 × 3

f(-2) × g(-2) = 6 × 3

f(-2) × g(-2) = 18

Therefore, the function (fg)(-2) = 18

d.

(f/g)(-2) = f(-2) / g(-2)

f(-2) / g(-2) = -2² - -2 / 3(-2) + 9

f(-2) / g(-2) = 6 / 3

f(-2) / g(-2) = 2

Therefore, the function (f/g)(-2) = 2

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Answer:

the answer is 8115

Step-by-step explanation:

you do 9 times 34 which is 306. then u do 7754 minus 306 which is 7448. then u add 667 to that which is 8115.

The most appropriate choice for equation and linear equation will be given by-

c = 175 + 5m is the  equation for calculation of total cost (c) at the end of

the evening for a given number of miles (m).

For travelling 45 miles, total cost at the end of the evening is $400

What is equation and linear equation?

A statement that shows the equality between two mathematical expressions by connecting the two mathematical expression with an equal to (=)  sign is called equation.

A one degree equation is known as linear equation.

Here,

Let the number of miles be m

Fixed cost for renting a limo for prom = $175

For travelling one mile by limo, amount charged = $5

For travelling m miles by limo, amount charged = $5m

Total cost for renting a limo for pron = $(175 + 5m)

By the problem,

c = 175 + 5m

This is the equation for calculation of total cost (c) at the end of

the evening for a given number of miles (m).

Now,

Putting m = 45 in the above equation,

[tex]c = 175 + 5 \times 45\\c = 175 + 225[/tex]

[tex]c =[/tex] $[tex]400[/tex]

For travelling 45 miles, total cost at the end of the evening is $400

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Answer:

In 3 decimal places (if you prefer):

Step-by-step explanation:

mark up rate = gross profit/ cost (expressed as a percentage)

gross profit   = sale price - cost

mark up rate  = (69-45)/45 *100

                        =24/45 * 100

Answer:

53.33%

Step-by-step explanation:

Hello!

First, let's find out how much the cost went up:

The cost went up by 24 dollars. To find the markup, we have to see what percentage of 45 is 24.

The markup is 53.33 percent.

Explanation

Question

60 is 24% of what number?

Let the number be n.

is represent = in mathematics

of represent x

60 is 20% of what number?

60 = 20% x n

Answer;

Explanation;

Here, we want to get the number of bacteria that will be present after 4 hours

What we have to do here is to substitute 4 for t in the equation of the model given

Mathematically, we have this as;

Given the equation:

6x + 3y = 12

We need to solve for y. Dividing by 3:

2x + y = 4

Subtracting 2x:

y = -2x + 4

First choice

In the las t image you can see that when you multiply both sides of the inequality for ( - 1 ) the symbol less than or equal changes to greater than or equal

Answer: x = 11

Step-by-step explanation:

       We can solve for x by isolating the variable with inverse operations.

    Given:

2(x - 5) + 7 = x + 8

    Distirbute:

2x - 10 + 7 = x + 8

    Combine like terms:

2x - 3 = x + 8

    Add 3 and subtract x from both sides of the equation:

x = 11

Given:

Given that

Required: Convert to rectangular form.

Explanation:

The given equation in polar can be written as

Substitute

Then the equation becomes 3y - x = 5.

Solve for y.

Final Answer:

let

the two digit = xy

x= tens digit

y = ones digit

2x = y

2x - x =0

x = 0