Find the distance between each pair of point

Answer:

I think the first

Step-by-step explanation:

The function f₁(x) can be either vertical stretch or vertical compress: TRUE

Here are a few examples of logarithmic functions:

So,

Given function:

Then,

Now, Put bˣ=f(x):

We discovered that:

So, depending on the values of b and h, c can be greater than or less than one.

Therefore, the statement "the function f₁(x) can be either vertical stretch or vertical compress" is TRUE.

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From the graphed function, it is found that:

From this graph, it is found that:

Hence:

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A composite function exists as a function that depends on another function. A composite function exists formed when one function exists substituted into another function.

The value of f(g(x)) = (2x-6)/2 and g(f(x)) =  x - 6.

In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.

Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.

Let the given functions be f(x) = x-3/2 and g(x) = 2x - 3

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

simplifying the above equation, we get

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

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

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

g(f(x)) =  g(x-3/2)

simplifying the above equation, we get

g(f(x)) =  g(x-3/2) = 2((x-3)/2) - 3

g(f(x)) =  g(x-3/2) = x - 6

g(f(x)) =  x - 6

Therefore, the value of f(g(x)) = (2x-6)/2 and g(f(x)) =  x - 6.

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1/27 to a decimal is .0370

Given,

1/27

Divide 1 by 27 so we get

.0370

Decimal, Integers or whole numbers are numbers to the left of the decimal point, while decimal numbers are numbers to the right of the decimal point. It is critical to understand place value when comparing decimals, doing operations on decimals, and so on. This is how a decimal number's place value chart appears. Chart of Place Values

In the case of decimals, the place value system for the whole number component is the same as the full number. However, following the decimal point, a new realm of numbers emerges in which we employ decimal fractions.

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Answer:

yes

Step-by-step explanation:

so yea

Answer:   [tex]3\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{2}[/tex] = [tex]\sqrt{54}[/tex]

                    = [tex]3\sqrt{6}[/tex]

Answer:

Step-by-step explanation:

h

Answer: Corresponding Angles

Step-by-step explanation:

If BD = 3, then it means that CD is also equal to 3 by definition of Isosceles triangle.

We are given a triangle with the condition that BA ≅ CA. This means that side BA has a length equal to that of side CA.

Now, an Isosceles triangle is defined as a triangle that has at least two sides of equal length. This means that the given triangle ABC is an Isosceles triangle.

Now, since Triangle ABC is an Isosceles triangle, it means that when we draw a perpendicular line through the point joining the two equal sides, it bisects the third side of the triangle.

Thus, it means that BD is congruent to CD.

If BD = 3, then it means that CD is also equal to 3 by definition of Isosceles triangle.

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Answer:

4:1, 20:5

Step-by-step explanation:

You can determine if a ratio is equivalent by dividing each term with the respective term in the other ratio. If you come out with 1, the ratios are equivalent.

Answer:

4:1 & 20:5

Step-by-step explanation:

These two ratios are equal and true to 12:3!

Hopefully this helps have a great day! :D

The best approximation for the solution to the system of equation is option C) (-2.2 , -3)

According to the question we have been given two system of linear equation which are:

         y = -3          (1)

and   y = x - 0.8        (2)

Now solving these two equation and find the value of x

Substituting the value of y from equation (1) to the equation (2) we get

               -3 = x - 0.8

                -3 + 0.8 = x

                   x = -2.2

Thus the best approximation for the solution to the system of equation is option C) (-2.2 , -3)

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Answer:

more than 6 feet  for 20 feet horizontal

Step-by-step explanation:

Increasing the rise increases the pitch

Answer:

AD

Step-by-step explanation:

It is the only segment that meets a side of triangle ABC at a right angle.

Answer:

Evan, Liza, Tasha, Devon

Step-by-step explanation:

Step-by-step explanation:

4-digit number abcd

a >= 2

a×b = d

so, 2 <= b <= 4 to allow a single digit result of a×b, and if b would be 1 or 0, the result would be either a copy of a or of b violating the rule that no 2 digits are the same.

that means a >= 3, because with a = 2 and b <= 4 the number can't be larger than 2500.

and that again means 2 <= b <= 3 and 3 <= a <= 4 to allow a single digit result of a×b.

the sum of "my digit" ? I guess you mean the sum of all digits is 16.

a + b + c + d = 16

so, my first guess :

a = 3

b = 2

therefore

d = 3×2 = 6

that means we have already 11 as sum of the digits, that leaves 5 for c.

so, the number would be

3256

the only alternative would start with a = 4 and then b = 2.

but that would make d = a×b = 8. abd 8 + 4 + 2 = 14, and that leaves for c only 2 to sum up to 16, and that would duplicate b.

so, 3256 is the only solution.

Answer:

a.)

Step-by-step explanation:

|2x - 2| > 2 (greater than 2)

the dilution set is the set of all x values, for which this inequality is true.

and that means

|2x - 2| has to have greater value than the value 2, which is represented by the constant, horizontal line y = 2.

the y values are aligned with the y-axis, which goes up and down. the higher up, the larger the y value.

so, only the values of |2x - 2| higher than 2 keep the inequality true.

so, a.) is the right answer. it is above the line.

b.) below would mean "< 2".

c.) intersects would mean "= 2".

d.) does not intersect would mean "<> 2".

please consider, the intersection points with the line are NOT included, because we have "> 2".

if we had to include the intersection points, it would have to be ">= 2".

The measure of the angle that complements m∠W is 17°. Option C

Complementary angles are defined as angles that sum up to 90 degrees.

They are also called angles at right angle.

Example:

If x and y are termed complementary angles, then

x + y = 90°

From the information given, we have that;

m∠W is complementary to another unknown angle x

This is represented as;

x + m∠W = 90°

But m∠W = 73°

Substitute the value into the equation

x + 73° = 90°

collect like terms

x = 90 - 73

x = 17°

Thus, the measure of the angle that complements m∠W is 17°. Option C

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The difference between a number (n) and eleven is written as;

⇒ 11 - n

The exception statement is;

''a number minus five''

What is Number system?

A system of writing to express the number is called number system.

Now, Let a number is 'n'

Then, The difference between a number (n) and eleven is,

11 - n

And, Find the mathematical expression of all the statement as;

Let x is a number.

1. a number minus five = x - 5

2. five more than a number = x + 5

3. the sum of a number and five = x + 5

4. a number increased by five = x + 5

So, Clearly the exception statement is;

''a number minus five''

Therefore, The difference between a number (n) and eleven is written as;

⇒ 11 - n

The exception statement is;

''a number minus five''

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Answer:

15/36

Step-by-step explanation:

Multiply the top and bottom factors together, i.e.,

3 x 5

4 x 9

this ends up with the answer 15/36.

Answer:

5/12 = 0.416666667

Factor:

5/2^2.3 = 0.416666667

After 4 stops both buses will have the same amount of riders that is 27.

So, Bus A: 15 people ( +3 at every stop)

Bus B: 35 people ( -2 at every stop)

Then,

Therefore, after 4 stops both buses will have the same amount of riders that is 27.

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Answer:

No

Step-by-step explanation:

Without any side lengths, the most three angles can determine is similarity, not congruency. This means you can determine the ratio of the lengths of the sides, but not any of the sides individually.

Answer:

Step-by-step explanation: 44.

f(x)=6x-4

x=8

f(8)=6(8)-4

f(8)= 48-4

f(8)=44

Answer: The answer is $1.13.

Step-by-step explanation:

There are 12 cups inside a 3-quart container.

The correct option is (c) 16 daisies

If the bouquet contains 24 flowers then total 16 daisies are in the bouquet.

In mathematics, polynomial function can be defined as the equation which consist of coefficient, variables and exponents. All the equations such as quadratic equation, cubic equation which has non  negative number as their powers are part of polynomial equation.

Some examples of polynomial equation are :

Now, for the given  question,

let d = number of daisies

     t = number of tulips

according to statement polynomial equation  is,

  d + t = 24    , say equation (i)

Twice as many daisies as tulips:

  d=2t

Put the value of d in equation (i)

  2t + t = 24

  3t = 24

  t = 8

As, number of daisies = 2 (number of tulips)

Therefore, d = 2t = 2 (8) = 16

Thus,  total 16 daisies are in the bouquet.

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A customer should buy minimum 16 boxes of pavers.

In this question, a customer is ordering brick pavers to cover a rectangular walkway that is 3 feet by 15 feet and a square sitting area that is 6 feet on a side.

First we find the total area that will be covered by  pavers.

Area of rectangle = length × width

Area of rectangle = 15 × 3

Area of rectangle = 45

And the area of square = side²

             area of square =   6²

             area of square =  36

So, the total area would be,

Total area = area of rectangle + area of square

Total area = 45 + 36

Total area = 81

So, the total area is 81 square feet.

one box of pavers covers 5.28 square feet.

So using unitary method,

81 / 5.28

= 15.534

≈ 16 boxes

This means, approximately 16 boxes will require to cover the above area.

Therefore, the customer should buy minimum 16 boxes of pavers.

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Answer:

7

Step-by-step explanation:

You have to do the square root of: (5-(-2)) squared pluse (2-2) squared

Now you have the square root of 7 squared

7 squared is 49, so you have the square root of 49

that equals 7

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Answer:

23 times 10 is

230 so your answer is 2 times 10

The equivalent fractions here are: 14/18 ,  21/27 , 28/36 , 35/45 , 42/54.

Given, the number 7/9

7/9 = (7/9 × 2/2) = 14/18

7/9 = (7/9 × 3/3) = 21/27

7/9 = (7/9 × 4/4) = 28/36

7/9 = (7/9 × 5/5) = 35/45

7/9 = (7/9 × 6/6) = 42/54

hence the equivalent fractions here are:

14/18 , 21/27 , 28/36 , 35/45 , 42/54

Equivalent fractions are those fractions that reflect the same value even if they may have distinct numerators and denominators. For instance, the fractions 9/12 and 6/8 are comparable as both, when simplified, equal 3/4.

When reduced to their most basic form, all equivalent fractions become the same fraction.

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The solution to the system where the system contains linear equations is (59/16, -65/32)

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x + 12y = −17

3x + 2y = 7

Multiply through 3x + 2y = 7 by 6

So, we have

18x + 12y = 42

Subtract the equation 2x + 12y = −17 from 18x + 12y = 42

So, we have

18x - 2x + 12y - 12y = 42 + 17

Evaluate the like terms

So, we have

16x = 59

Divide both sides by 16

So, we have

x = 59/16

Substitute x = 59/16 in 3x + 2y = 7

3 x 59/16 + 2y = 7

This gives

177/16 + 2y = 7

So, we have

2y = 7 - 177/16

Evaluate the difference

2y = -65/16

Divide by 2

y = -65/32

Hence, the solution to the system where the system contains linear equations is (59/16, -65/32)

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Answer:

x≤−9/2 or x>7/4

Step-by-step explanation:

If Heavy Hulk is cutting their sign-up fee in half for new members. If Brett signs up at a gym today, the number of months that the cost of the memberships be the same is: 23 months.

Let x represent the number of months

Hence,

Formulate

$34.04x+24= $34.29x+(36.50/2)

Collect like terms

($34.04x -34.29x)= 24-(36.50/2)

0.25x=24-18.25

0.25x=5.75

Divide both side by 0.25x

x=5.75/0.25

x=23 months

Therefore If Heavy Hulk is cutting their sign-up fee in half for new members. If Brett signs up at a gym today, the number of months that the cost of the memberships be the same is: 23 months.

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