Which of the following functions has an inverse that is also a function?
A. f(=) == + S = B.
f(s) = 2x² +1, #≥1
C. f(x) = 2x², =
-2
D. f(=) = 5x²-10, #≤5

There are three 6- digit numbers divisible by 36.

To decide if a fraction has to be decreased, dividesibility rules can be applied. The patterns that appear when we list the multiples of any number serve as the foundation for the rules.

Given:

We have 225A7B

Now, we will substitute A and B 0, 1 , 2.....9 to get the combination.

Also, A number is divisible by 36 if the number is divisible by 4 and 9.

So, take A=0 and B= 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

225070 is not divisible by 4 thus not divisible by 36.

and, 225071 is not divisible by 4 thus not divisible by 36.

and, 225072 is divisible by 4 and 9 thus divisible by 36.

and, 225073 is not divisible by 4 thus not divisible by 36.

and, 225074 is not divisible by 4 thus not divisible by 36.

and, 225075 is not divisible by 4 thus not divisible by 36.

and, 225076 is not divisible by 4 thus not divisible by 36.

and, 225077 is not divisible by 4 thus not divisible by 36.

and, 225078 is not divisible by 4 thus not divisible by 36.

and, 225079 is not divisible by 4 thus not divisible by 36.

Similarly, we can find 225576 & 225972 divisible by 36.

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Answer:

see below

Step-by-step explanation:

1 U.S. dollar = 1.02 Swiss francs

$48 = CHF 48.96

part 2

CHF 10.20 = US$10

yes he has enough

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Inequality Form:

x≤−16/7

Interval Notation:

(−∞,−16/7]

The solution to the linear inequality given as -6 + 7x ≤ -22 is determined as x ≤ -16/7.

The value of x in the inequality -6 + 7x ≤ -22, is determined by applying the following method.

The given inequality expression;

-6 + 7x ≤ -22

Solve the inequality by collecting similar terms together as shown below;

-6 + 7x + 6 ≤ -22 + 6

Simplify further as follows;

7x ≤ -16

Divide both sides of the inequality by 7 to solve for x as shown below;

(7x)/7 ≤ (-16)/7

x ≤ -16/7

Therefore, the solution to the inequality is x ≤ -16/7.

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Answer:

1) 111, 112

2) 12, 9

3) -12

4) 31, 32, 33

Step-by-step explanation:

1)   n + (n+1) = 223

2n + 1 = 223

2n=222

n = 111              numbers: 111, 112

2)  n + (n-3) = 21

2n - 3 = 21

2n=24

n=12                    numbers: 12, 9

3)   2*(n+5) = n-2

2n + 10 = n - 2

n = -12               number: -12

4)   n + (n+1) + (n+2) = 96

3n + 3 = 96

3n = 93

n=31                numbers: 31, 32, 33

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{17n + 9 - 47n}[/tex]

[tex]\huge\textbf{COMBINE the LIKE TERMS}[/tex]

[tex]\mathsf{= (17n - 47n) + (9)}[/tex]

[tex]\mathsf{= 17n - 47n + 9}[/tex]

[tex]\mathsf{= -30n + 9}[/tex]

[tex]\huge\text{Therefore, your answer SHOULD be:}[/tex]
[tex]\huge\boxed{\mathsf{-30n + 9}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The point (3, -2) can be classified as a local maximum of the polynomial function f(x).

What is polynomial ?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

In this case, the values f(3) = -2, f'(3) = 0, and f''(3) = -2 give us information about the graph of the polynomial function f(x) at the point x = 3.

First, f(3) = -2 means that the y-coordinate of the point (3, -2) is -2, so the point (3, -2) is on the graph of f(x).

Second, f'(3) = 0 means that the slope of the tangent line to the graph of f(x) at the point x = 3 is 0. This means that at x = 3, the graph of f(x) has a horizontal tangent line, which is a sign of a local maximum or minimum of the function.

Third, f''(3) = -2 means that the second derivative of f(x) at x = 3 is -2. This means that the graph of f(x) is concave down at x = 3. A concave down graph means that the function is decreasing at x = 3, so the point (3, -2) is a local maximum of the function.

Therefore, the point (3, -2) can be classified as a local maximum of the polynomial function f(x).

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According to the information, Maria has to add a unit in the second bar that corresponds to the vacations that have between 7 and 9 days.

To complete the graph correctly we must identify what information is in it. First of all we see that there are ranges of duration of vacations on the X axis, then, there are 4 bars that represent the following ranges:

According to the above, since she has not added her last vacation that lasted 7 days, we must add a unit that represents these vacations in the second column, to complete the graph.

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The rate of change of the area of square with side 10 and rate of change of side is -3 per second is -60.

We have, For all sides of a square is

Rate of changing per second = - 3

Let "x" be side of square. So, x = 10. We have to determine the rate of change of the area. So, Rate of change in side ,x per unit time = dx/dt = -3 . As we know, the area of a polygon is equals to total space occupied by shape or polygon.

So, Area of square, A = side × side . In this case, Area of square , A = x² --(1)

Differentiating equation (1) with respect to time "t",

=> dA/dt = d/dt ( x²)

=> dA/dt = 2x dx/dt ( using derivative formula )

here,dx/dt --> rate of changing of side of square

Substitute the value of dx/dt = -3 in above derivative, dA/dt = 2x dx/dt

=> dA/dt = 2x (-3)

=> dA/dt = 2×(10)(-3) ( since side, x = 10)

=> dA/dt = -60

Hence, required rate of change of area is -60.

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Answer:

Step-by-step explanation:

2.40X+1.80(10-X)=21.602.40X+18-1.8X=21.60.6X=21.60-18.6X=3.6X=3.6/.6X=6 PACKS OF $2.40 CUPS.

Based on the information, we can infer that after 20 days there will be 153 plants and after 65 days there will be 498 plants.

To find the number of plants that will be after 20 and 65 days we must take into account the number of initial plants and the number of days required for the plantation to double.

According to the above, we must make a rule of 3 as shown below:

12 - 92

20 -

= 20 * 92 / 12 = 153

12 - 92

65

= 65 * 92 / 12 = 498

According to the above, after 20 days there will be 153 plants and after 65 days there will be 498 plants.

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The solution of all the measures of the angles are,

1) m ∠A = 63°

2) m ∠B = 138°

3) m ∠C = 117°

4) m ∠D = 137.22°

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

In figure 1;

Measure of angle A and angle B are vertically opposite angle and hence both are equal to each other.

⇒ ∠A = ∠B

⇒ 2x + 35 = 8x - 49

⇒  35 + 49 = 8x - 2x

⇒ 84 = 6x

⇒ x = 14

Thus, The value of m ∠A = 2x + 35

                                       = 2×14 + 35

                                       = 28 + 35

                                       = 63°

2) By the figure, the sum of both indicated angle is 180°.

Hence, We get;

⇒ 10x - 18 + 15x + 48 = 180

⇒ 25x + 30 = 180

⇒ 25x = 180 - 30

⇒ 25x = 150

⇒ x = 6

Thus, The value of m ∠B = 15x + 48

                                       = 15×6 + 48

                                       = 90 + 48

                                       = 138°

3) By the figure, Both angles are alternate angle of parallel lines and hence both are equal.

So, We get;

⇒ 7x + 5= 12x - 75

⇒ 5 + 75 = 12x - 7x

⇒ 80 = 5x

⇒ x = 16

Thus, The value of m ∠C = 7x + 5

                                       = 7×16 + 5

                                       = 112 + 5

                                       = 117°

4) By the figure, the sum of both indicated angle is 180°.

Hence, We get;

⇒ 27x - 21 + 10x - 16 = 180

⇒ 37x - 37 = 180

⇒ 37x = 180 + 37

⇒ 37x = 217

⇒ x = 217/37

⇒ x = 5.86

Thus, The value of m ∠D = 27x - 21

                                       = 27×5.86 - 21

                                       = 158.22 - 21

                                       = 137.22°

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Since the unit price per pound of the dog food we bought is lesser than that of Target, we got a better buy.

To find the unit price per pound, we need to divide the price paid by the amount bought (in pounds)

`Now we have paid $53.99 for 40 pounds

Target charges $28.99 for 20 pounds.

Hence the unit price per pound we paid will be

53.99/40

= $1.34975 /lb

Now the unit price per pound charged by Target is

$28.99/20 lb

= $ 1.4495 /lb

Hence here we can clearly see 1.34975 < 1.4495

Hence, we bought the dog food at a better price than that at Target.

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Complete Question

I paid $53.99 for a 40 lb bag of dog food at Costco. At Target, they are selling the same dog food for $28.99 for a 20 lb bag. Find the unit price in dollars per pound. Then state which bag of dog food is the better buy based on the unit price.

Answer:

[tex]+, -, \times[/tex]

Step-by-step explanation:

This is one of those questions where trial and error are used.

Trying out different combos until I get the right answer:

[tex]8-6+4\times2=10[/tex]

[tex]8+6-4\times2=6[/tex]

Nice! The correct answer is [tex]+, -, \times[/tex]

Answer:

∠ HLK = 29°

Step-by-step explanation:

the measure of the inscribed angle HLK is half the measure of its intercepted arc, that is

∠ HLK = [tex]\frac{1}{2}[/tex] × HB = [tex]\frac{1}{2}[/tex] × 58°= 29°

The probability that a randomly selected ball has a number less than 10 is [tex]$\frac{9}{19}[/tex].

As per the given data:

A bag contains 19 balls numbered 1 through 19.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 and 19

The total number of outcomes is 19.

Here we have to determine the probability that a randomly selected ball has a number less than 10.

Numbers on the balls less than 10 are 1, 2, 3, 4, 5, 6, 7, 8, and 9.

A ball is randomly selected.

The favorable outcomes are 9.

The likelihood of every event depends on the overall number of positive outcomes as well as the number of favorable outcomes.

The formula for probability:

The number of favorable outcomes is divided by the total number of outcomes.

= [tex]$\frac{9}{19}[/tex]

Therefore the probability that a randomly selected ball has a number less than 10 is [tex]$\frac{9}{19}[/tex].

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The amount of candy each person gets is given by the equation A = 1/20 of the candy

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount of candy each person receives is A

Now , the amount of candy = 1/5 of the candy

The number of friends = 4 friends

So , the amount of candy each person gets A = amount of candy / number of friends

Substituting the values in the equation , we get

The amount of candy each person gets A = ( 1/5 ) / 4

On simplifying the equation , we get

The amount of candy each person gets A = 1/20 of the candy

Hence , the equation is A = 1/20

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Assuming the location has a diurnal tide type, the angler should plan to arrive to start fishing at 12:15 pm on Saturday, two days after the high tide on Thursday.

This is because with a diurnal tide type, the high tide occurs at the same time each day, so the angler can expect the high tide to occur at the same time on Saturday as it did on Thursday.

A diurnal tide type is a type of tidal pattern where there is one high tide and one low tide per day. This type of tide is most commonly seen in areas with small and shallow bodies of water, such as bays and estuaries. In diurnal tidal systems, the times of high and low tide usually occur at the same time each day. The height of the tide also usually remains relatively constant over time.

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Answer: -38.705

Step-by-step explanation:

(-38.71) - (-38.7)

= -38.71 + 38.7

= -0.01

              -0.01 ÷ 2  = -0.005

Then add it to -38.7:

 =   (-0.005) + (-38.7)

  =  -0.005 + 38.7

  =  -38.705  

The number is given by the equation A = 18

Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder

Given data ,

Let the inequality be represented as A

Now , the value of A is

15 < A < 20   be equation (1)

The number lies between 15 and 20

when A = 18

The factors of 18 = 1 , 2 , 3 , 6 , 9 , 18

So , the number 18 has the prime factors as 2 and 3

Hence , the number is A = 18

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Using the Pythagorean Theorem we know that the ladder can reach up to the building 85ft.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental Euclidean geometry relationship between the three sides of a right triangle.

This statement states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

So, we have:

Hypotuenese is 70ft long and Height is 25ft long.

Then, the base would be:

c² = a² + b²

70² = 25² + b²

b² = 4,900 - 625

b² = 7,275

b = √7275

b = 85ft

Therefore, using the Pythagorean Theorem we know that the ladder can reach up to the building 85ft.

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The value of the equations are

a₃ = -1

a₄ = -4

a₅ = 5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of aₙ = - aₙ₋₁ - aₙ₋₂

The value of a₁ = -4

The value of a₂ = 5

So , when n = 3

Substitute the value of n = 3 in the equation , we get

a₃ = -a₂ - a₁

On simplifying the equation , we get

a₃ = -5 - ( -4 )

a₃ = -5 + 4

a₃ = -1

Substitute the value of n = 4 in the equation , we get

a₄ = -a₃ - a₂

On simplifying the equation , we get

a₄ = - ( -1 ) - ( 5 )

a₄ = + 1 - 5

a₄ = -4

Substitute the value of n = 5 in the equation , we get

a₅ = -a₄ - a₃

On simplifying the equation , we get

a₅ = - ( -4 ) - ( -1 )

a₅ = 4 + 1

a₅ = 5

Hence , the equations are solved

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Work Shown:

[tex]\frac{33.5 \text{ rev}}{1 \text{ min}} *\frac{360 \text{ deg}}{1 \text{ rev}}*\frac{1 \text{ min}}{60 \text{ sec}} \\\\[/tex]

[tex]=\frac{33.5 \not{\text{r}}\not{\text{e}}\not{\text{v}}}{1 \text{ min}} *\frac{360 \text{ deg}}{1 \not{\text{r}}\not{\text{e}}\not{\text{v}}}*\frac{1 \text{ min}}{60 \text{ sec}} \ \text{ ... 'rev' units cancel}\\\\[/tex]

[tex]=\frac{33.5}{1 \text{ min}} *\frac{360 \text{ deg}}{1}*\frac{1 \text{ min}}{60 \text{ sec}} \\\\[/tex]

[tex]=\frac{33.5}{1 \not{\text{m}}\not{\text{i}}\not{\text{n}}} *\frac{360 \text{ deg}}{1}*\frac{1 \not{\text{m}}\not{\text{i}}\not{\text{n}}}{60 \text{ sec}} \ \ \text{ ... 'min' units cancel}\\\\[/tex]

[tex]=\frac{33.5}{1} *\frac{360 \text{ deg}}{1}*\frac{1}{60 \text{ sec}}\\\\[/tex]

[tex]=\frac{33.5*360}{60} \text{ degrees per second}[/tex]

[tex]=201 \text{ degrees per second}[/tex]

Notes:

Answer:

It will cost R1725

The ratio for this problem is 5: 575.

(litres of paint: price)

We first need to figure out how to go from 5 to 15.

To go from 5 to 15, we multiply the 5 by 3.

Now that we have this, we need to multiply the other side of the ratio (575) by 3.

The ratio now looks like this:

15: 1725

Therefore, for every fifteen litres of paint, it will cost R1725.

Answer: look below love :))

Step-by-step explanation: To find out how much Amir will have in the account after 23 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A is the final amount

P is the initial principal (the amount Amir deposited)

r is the annual interest rate (2.25%)

n is the number of times the interest is compounded per year (let's assume it is compounded annually)

t is the number of years

So, we can plug in the given values:

A = 1390(1 + 0.0225)^(1*23)

A = 1390(1.0225)^(23)

A = 1390 * 2.6388955

A = 3655.922

So Amir will have £3655.922 in the account after 23 years with 2.25% compound interest.

On solving the provided question we can say that so by SAS triangles are congruent

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

BC = HI

AB = HG

angle ABC = IHG

so by SAS triangles are congruent

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Answer: The data shows an association between the type of instructor and a certification in CPR. The association is that swimming instructors are less likely than tennis instructors to be certified in CPR. This can be seen from the frequency table, where all the swimming instructors are not certified in CPR, while only 4 out of 12 tennis instructors are not certified in CPR, so yes, the data does show an association between the type of instructor and a certification in CPR.

Step-by-step explanation:

The two-way frequency table shows the number of instructors who are certified or not certified in CPR, broken down by type of instructor (swimming or tennis). The data in the table allows us to see the relationship between the two variables (type of instructor and certification in CPR) and whether there is an association between them.

An association means that the values of one variable are related to the values of another variable in some way. In this case, the type of instructor (swimming or tennis) is related to whether or not the instructor is certified in CPR. The data shows that the proportion of swimming instructors who are not certified in CPR (100%) is higher than the proportion of tennis instructors who are not certified in CPR (33%). This indicates that there is an association between type of instructor and certification in CPR, with swimming instructors being less likely to be certified in CPR than tennis instructors.

It is important to note that this association does not necessarily imply causation, meaning that being a swimming instructor does not cause one to not be certified in CPR, but it could be the other way around, or it could be due to some other factors that the data does not show.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{ORIGINAL equation:}[/tex]
[tex]\mathsf{\dfrac{2}{3}y - 2(\dfrac{4}{3}y + z)}[/tex]

[tex]\huge\textbf{DISTRIBUTE \boxed{\rm{\bf -2}} within the}\\\\\huge\textbf{parentheses:}[/tex]

[tex]\mathsf{\dfrac{2}{3}y - 2(\dfrac{4}{3}y + z)}[/tex]

[tex]\mathsf{= \dfrac{2}{3}y - 2(\dfrac{4}{3}y) - 2(z)}[/tex]

[tex]\mathsf{= \dfrac{2}{3}y - \dfrac{8}{3}y - 2z}[/tex]

[tex]\huge\textbf{COMBINE the like terms:}[/tex]

[tex]\mathsf{= (\dfrac{2}{3}y - \dfrac{8}{3}y) - (2z)}[/tex]

[tex]\mathsf{= \dfrac{2}{3}y - \dfrac{8}{3}y - 2z}[/tex]

[tex]\mathsf{-2y - 2z}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{-2y - 2z}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

To find the constant of proportionality between the cost of the game tickets and the number of tickets purchased, we can write an equation that represents the relationship between the two values. Let's call the constant of proportionality "k".

Step 1: Write an equation for Rocko's purchase:

12.50 = k * 25

Step 2: Solve for k:

k = 12.50 / 25 = 0.50

Step 3: Write an equation for Louisa's purchase:

17.50 = k * 36

Step 4: Substitute the value of k from step 2 into the equation:

17.50 = 0.50 * 36

Step 5: Check if the value of k is the same for both equations:

17.50 / 36 = 0.50

The constant of proportionality is 0.50, which means that for each additional game ticket purchased, the cost increases by $0.50.

Answer: 40 and 50-2x.

Step-by-step explanation: you multiply 5*2=10, and subtract that from 50. You would do the same with x, to get 2*x=2x. but you can't subtract 2x from 50 without knowing x, so you leave it as 50-2x.