Which one of the following points lies on the line 3y=2x-1?

If the function f(x) = 4 - 2√x  then the inverse function be [tex]x^{2}[/tex] −8x+18 = f(x)

An inverse function, also known as an anti function, is a function that can be reversed into another function. Simply put, if any function " f " takes x to y, then its inverse will take y to x. The inverse function is denoted by f-1 or F-1 if the function is denoted by ' f ' or ' F '.

Assume that the function is [tex]f(x) = 4 + \sqrt{x-2}[/tex] and f(x) = 4+x−2

​where the x − 2 is under the radical sign.

The first step is to swap the f(x) and x.

The new function would be

[tex]$x = 4 + \sqrt{f(x) -2}x=4+ f(x)-2[/tex]

To solve the value of f(x) in the new function

x = 4 + [tex]\sqrt[2]{f(x)-2}[/tex]

x - 4 = [tex]\sqrt{f(x)-2}[/tex]

simplifying the above equation, we get

[tex](x -4^{} )^{2}[/tex] = f(x) − 2

[tex]x^{2}[/tex] − 8x +16 = f(x) − 2

[tex]x^{2}[/tex] − 8x + 18 = f(x)

The inverse of the function f(x) = 4 - 2√x is [tex]x^{2}[/tex] −8x+18 = f(x)

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The interval in which the function has positive average rate of change is x > √3

The function is given as

f(x) = x^3 - 9x

Differentiate the above function to determine the average rate of change

So, we have

f'(x) = 3x^2 - 9

Set the function to greater than 0

So, we have

3x^2 - 9 > 0

Add 9 to both sides

3x^2 > 9

Divide by 3

x^2 > 3

Take the square root of both sides

x > √3

Hence, the interval in which the function has positive average rate of change is x > √3

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Answer:

-25

Step-by-step explanation:

First, write an equation to represent the situation. To get -87, a number (lets say x) is first tripled, and then 12 is subtracted from the result.

So: -87 = 3x - 12

Then, solve for x by first adding 12 to both sides:

-87 = 3x - 12 ----> -75 = 3x

Finally, divide both sides by 3 to get x by itself:

-75 = 3x ----> -25 = x

A relation between a collection of inputs and outputs is known as a function.

The order pairs can't be a function also,

f(x) = -√x     → D: x ≥ 0

                    → R: y ≤ 0

The order pairs can't be a function also,

f(x) = -√x     → D: x ≥ 0

                    → R: y ≤ 0

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Answer:

firstg one

Step-by-step explanation:

two x's

Answer: It helps in analyzing large quantities, comparing two or more data, making predictions, and building a firm decision.

Step-by-step explanation To visualize the relationship between two numerical variables the most appropriate graph is a scatter plot. If there is a clear distinction between the independent (explanatory) and the dependent (response) variable, it is common to plot the independent variable on the x-axis and the dependent on the y-axis. The main use of a graphical representation of data is understanding and identifying the trends and patterns of the data.

Firstly we will analyze the question statement to determine the best possible answer.

So, the statement tells us about a person named Natalie,, the owner of an App designed for teenagers. Currently, the New Mindfulness app has One thousand two hundred and sixty-two downloads. Natalie sets a target to take her App downloads to double every month.

We are expected here to provide her with the best possible exponential equation to make her achieve the set goal.

We can use two variables for our exponential equation:

y for the number of downloads.

And x for the months.

We can use any value (Whole numbers, decimals, or fractions) in our exponential equation.

Now while keeping in mind all the necessary details, we can make the exponential equation as below:

Y= 1262 (2 x b) ^ x

Where Y are the downloads

X= 1 month or 30 days

By putting the values:

Y=1262 (2) ^ 1 month

Y=2524 after one month

So, the total number of downloads will double using the above exponential equation.

The pictures below show a relationship between the number of downloads Y and the month X.

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Answer: 1262(2)^x

Step-by-step explanation:

Answer: Transporting substances in a cell.

Step-by-step explanation: Transporting substances in a cell producing and storing energy.

Answer: Kim made roughly 46,300 that year.

Step-by-step explanation:

We know that income tax = 9260

Step 1 is to find out which tax bracket Kim comes under.

The min. tax for those in the 20% bracket is 7,500. (20% * 37,500)

The min. salary for those in the 40% bracket is 45,000. (40% * 112,500)

As Kim pays 9260 in tax, we know that she falls under the 20% bracket. As such, we can conclude that :

20% * (Kim's Salary) = 9260

Kim's Salary = 9260/20%(or 0.2)

Kim's salary = 46,300

Answer: About $55,000k

Step-by-step explanation:

Answer:

Proved!

Step-by-step explanation:

Given Problem:

a(cosB+cosC-1)+b(cosC+cosA-1)+c(cosA+cosB-1) = 0​

Solution:

Let ABC be any triangle.

1) Consider the L.H.S  (left hand side) of the given equation:

LHS =

We know that,

Projection formula:

= 0 =RHS

(2) Consider the LHS of the given equation:

Hence Proved!!

The remaining weight seashells that Jonathon has is 7/4 kg or  [tex]1\frac{3}{4}[/tex] kg.

A fraction is a percentage of a whole. This entire sentence could be referring to a single location or a collection of locations. The English word "fraction" derives from the Latin word "fractio," which means "to break." As the first civilization to comprehend fractions, the Egyptians used fractions to solve a number of mathematical problems, including the distribution of food and resources and the absence of a metal currency.

Weight of the remaining sea shells = [tex]4\frac{1}{2}[/tex] - [tex]2\frac{3}{4}[/tex]

Weight of the remaining sea shells = 9/2 - 11/4

Weight of the remaining sea shells = 18-11/4

Weight of the remaining sea shells = 7/4 kg

Weight of the remaining sea shells = [tex]1\frac{3}{4}[/tex] kg

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The weight of the remaining sea shells Jonathan has is 1¾ kg.

So, the weight of the remaining sea shells: 4½ - 2¾

Now, solve the above fraction operation for the weight of remaining sea shells.

Therefore, the weight of the remaining sea shells is 1¾ kg.

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Applying the alternate interior angles postulate, the measure of angle HLI in the diagram is: 56°.

An example of interior angles that lie alternate to each other along a transversal are the angles shown in the image as angle HIL and angle MLI.

According to the alternate interior angles postulate, angle HIL is congruent to angle MLI.

Given that, the measure of angle MLI = 56°, since angles HIL and MLI are congruent angles based on the alternate interior angles postulate, therefore:

Measure of angle MLI = measure of angle HLI

Thus:

The measure of angle HLI = 56°

In conclusion, applying the alternate interior angles postulate, the measure of angle HLI in the diagram is: 56°.

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Answer:

y = 1/2 x + 1.

Step-by-step explanation:

A line perpendicular to a line with slope m will have a slope of -1/m.

The line y = -2x - 7 will have a slope of -1/ -2 = 1/2.

Using the point-slope form of a straight line

y - y1 = m(x - x1)

Here m = 1/2 and (x1, y1) = (4, 3).

So, y - 3 = 1/2(x - 4)

y = 1/2x - 2 + 3

y = 1/2 x + 1.

Answer:

$6 in each group

Step-by-step explanation:

$5.20+$4.64+$2.16=12

12/2=6

Answer: I think its 1/5x^10y^-6

Step-by-step explanation:

please let me know if I'm wrong

The expanded form of the given logarithms (log z²/5) = 2logz + log 5

Four fundamental features are derived directly from the notion that logs are exponents. The first three can be recalled as follows: The log of a product equals the sum of the logs of the elements. A quotient's log is proportional to the difference in between numerator and denominator logs. The log of power is the power multiplied by the log of the base.

Given : log z²/5

Applying the property  (log a/b = log a +log b)

we get:

log z²/5

log z² + log 5

Applying the property

log z²

2 log z

replacing  equation:

log z² + log 5

2logz + log 5

The expanded form of the given logarithms (log z²/5) = 2logz + log 5

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Answer: 10.8 cm

Following are the calculation to find the x:

Given:

Assuming the triangle is ABC:

then

∠A = 81∘

∠B = 40∘

A = 7cm

To find:

x=?

Solution:

To find the x value we use the Law of sine:

Putting the given value:

The domain value for f(x)-g(x)+10 = - x²- x + 17

Given :  f(x)=2 x+5

           g(x)=x²-3 x+2

Solution:

           f(x) - g(x) + 10 = 2 x+5 - x²-3 x+2 +10

           f(x) - g(x) + 10 = 2 x+5 - x²-3 x+12

          f(x) - g(x) + 10 = - x²- x + 17

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Answer:

  B, C, E

Step-by-step explanation:

Given a graph, you want to know the set of listed values that is included in the range of the graph.

The range of a function is its vertical extent, the set of output values the function may have. The graph shows a function with a range of ...

  -6 ≤ y ≤ 0

Listed values that fall in that range are ...

  -1 (B), -2 (C), and -6 (E)

The measurement of angle ∠LMP is 65° when angle QPR is 115°.

What is corresponding angle ?

Any pair of angles that lie on opposite sides of two lines cut by a transversal on the same side.

Here, it is given that LN and OQ are parallel lines and ∠QPR = 115°

First, let us find the measurement of angle QPM as angle QPR and angle QPM are supplementary angles that is there sum will be 180° :

∠QPM + QPR = 180°

∠QPM + 115° =  180°

∠QPM = 180° - 115°  

∠QPM = 65°

Now, angle QPM and angle LMP are corresponding angles there the measurement of both the angles will be same that is ;

∠QPM = ∠LMP = 65°

Therefore, the measurement of angle ∠LMP is 65°

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Answer: Well i tried doing 7x5 but it is 35 and she has to ride her bike 34 miles so hope this helps if not then sorry

Step-by-step explanation:

The equation to determine the average number of miles she would have to ride to meet her goals is

5x = 34 - 7

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total miles = 34 miles

Number of days to ride = 5

The equation to determine the average number of miles.

5x + 7 = 34

Now,

Solve for x.

5x = 34 - 7

5x = 27

x = 27/5

x = 5.4 miles

Thus,

The average number of miles is 5.4 miles.

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Answer:

the answer issssssssssssss

first blank is - 12

2nd blank is -3

AS we can see that there no degree in the given rational function, so, the value for horizontal asymptote will be 0.

The asymptote of a curve is the location at which the curve converges. In other words, the curve and its asymptote are perpetually close, yet they never touch. Big O notation makes use of asymptotes, which are also simple approximations to complex equations and are useful for graphing rational equations among other things.

The asymptote(s) of a curve may often be found by looking at the limit of a value when the function is not defined. These points include and the point where the numerator of a rational function equals zero, as well as others.

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The expression that van be used to illustrate the quantities that Alonso will buy is 2.75e + 11.5s = 55.

Total amount = $55

Cost of eggs = $2.75 per pack

Cost of sugar = $11.50 per box

Therefore, based on the information, it should be noted that the expression that can be used to illustrate the information will be:

Let s = sugar

Let e = eggs

Therefore, the expression will be:

(2.75 × e) + (11.50 × s) = 55

2.75e + 11.5s = 55

The expression that van be used to illustrate the quantities that Alonso will buy is 2.75e + 11.5s = 55.

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According to the solving the value of a and b of the X² - 4X - 21 equation are:

a = -2

b= -25

A quadratic problem is a sort of problem in mathematics that deals with either a variable multiplied by itself – a process known as squares. The area of a square is defined as its side length multiplied by double itself in this language.

 In everyday life, we employ quadratic formulas to calculate areas, determine the profit of a product, or calculate the velocity of an object. Furthermore, quadratic equations are defined as equations with at least one squared variable.

X² - 4X - 21

Expand to check:

For a.

(X - 2)² - 4 - 21 = (X - 2)² - 25

                       = X² - 4X + 4 - 25

                       = X² - 4x -21

                       =  (X - 2)² - 25

a = -2 , b = -25

For b.

X² - 4X - 21 = (X - 2)² - 25 due to part a we can say that:

(X - 2)² - 25 = 0

X - 2 = ± 25

x  = 7 , X = -3

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Answer:

137174211/100000000000

Step by Step Explanation:

First, find the answer of 9^(-3), which would be 0.00137174211. Then, convert that into fraction form. Which would be 137174211/100000000000. Then simplify, which in order to simplify a fraction, there must be: 1. A number that will divide evenly into both the numerator and denominatior so it can be reduced. No such number exists for 137174211 and 100000000000. or 2. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number. 137174211 is not greater than 100000000000, also meaning, this fraction is in it's simplest form.

The expression that is equivalent to the given expression is -2x/15 + 2. The correct option is the third option-  negative two over fifteen times x plus two

From the question, we are to determine the expression that is equivalent to the given expression

The given expression is

1/5(3x +10) - (11/15)x

Clear the parentheses by applying the distributive property

1/5(3x) + 1/5(10) - (11/15)x

3x/5 + 2 - 11x/15

Collect like terms

3x/5 - 11x/15 + 2

(9x - 11x)/15 + 2

-2x/15 + 2

Hence, the expression that is equivalent to the given expression is -2x/15 + 2. The correct option is the third option-  negative two over fifteen times x plus two

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the verified answer is wrong.

The error in solving for the equation in the question was that m was not appropriately converted from a negative number.

The equation is:

-m/3 = -4

Solving gives:

3 x (-m/3) = 3 x -4

m is a negative and should remain so. The next step is:

-m = -12

m = -12 / -1

m = 12

m is therefore 12 and not -12.

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