A square with side lengths of 6 cm is enlarged using a scale factor of 2.5. What will be the perimeter and area of the enlarged squa

The range of the function is x∈[(-8 ,16)]

It is required to find the  range.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

Since f(x) = -2x + 4  is linear, its limit values correspond to the limits imposed by the domain (in this case x∈[(-6 ,6)]

By put the value of x in the given function we get,

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

        =12+4

         =16

f(6) = -2*6 + 4

       =-12+4

        =-8

So the range is -8<x<16.

Therefore, the range of the function is x∈[(-8 ,16)]

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Quadratic equations' solutions are  x=0, x=32 , y=3, y=-2 , \(y=-\frac{5}{2}, y=4$$\) , z=0, z=-10 , and x=0, x=3

\($$x(x-32)=0 \quad: \quad x=0, x=32$$\)

Steps

x(x-32)=0

If a b=0, then either a=0 or b=0, according to the Zero Factor Principle.x=0 or x-32=0

Solve x-32=0:  x=32

The following are the quadratic equation's solutions:

x=0, x=32

2 . \($$(y-3)(y+2)=0 \quad: \quad y=3, y=-2$$\)

Steps

(y-3)(y+2)=0

If a b=0, then either a=0 or b=0, according to the Zero Factor Principle. y-3=0 or y+2=0

Solve y-3=0 :  y=3

Solve y+2=0 :  y=-2

The following are the quadratic equation's solutions:

y=3, y=-2

3. \((2 y+5)(y-4)=0 \quad: \quad y=-\frac{5}{2}, y=4$$\)

Steps

(2 y+5)(y-4)=0

If a b=0, then either a=0 or b=0, according to the Zero Factor Principle. 2 y+5=0 or        y-4=0

Solve 2 y+5=0:  y=-\(\frac{5}{2}\)

Solve y-4=0 :  y=4

The following are the quadratic equation's solutions:

\(y=-\frac{5}{2}, y=4$$\)

4.\($$2 z^2+20 z=0 \quad: \quad z=0, z=-10$$\)

steps

\($$2 z^2+20 z=0$$\)

The following are the quadratic equation's solutions:

\($$z_{1,2}=\frac{-20 \pm \sqrt{20^2-4 \cdot 2 \cdot 0}}{2 \cdot 2}$$$$\sqrt{20^2-4 \cdot 2 \cdot 0}=20$$$$z_{1,2}=\frac{-20 \pm 20}{2 \cdot 2}$$\)

Distinguish the answers

\($$\begin{aligned}& z_1=\frac{-20+20}{2 \cdot 2}, z_2=\frac{-20-20}{2 \cdot 2} \\& z=\frac{-20+20}{2 \cdot 2}: 0 \\& z=\frac{-20-20}{2 \cdot 2}:-10\end{aligned}$$\)

The following are the quadratic equation's solutions:

z=0, z=-10

5 .

\($$\begin{aligned}& 9 x^2=27 x: x=0, x=3 \\& \text { Steps } \\& 9 x^2=27 x\end{aligned}$$\)

Move 27 x to the left side

\($$9 x^2-27 x=0$$\)

\($$\begin{aligned}& \text { Factor } 9 x^2-27 x: \quad 9 x(x-3) \\& 9 x(x-3)=0\end{aligned}$$\)

If a b=0, then either a=0 or b=0, according to the Zero Factor Principle. x=0 or x-3=0

Solve x-3=0: x=3

The following are the quadratic equation's solutions

x=0, x=3

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Answer:

hey you,the answer is 'B'

The inequality -1 ≤ x/2 has a solution in the set of real numbers. This means that the values of x which will make the inequality true include all the real numbers which are greater than or equal to -2.

If we simplify the inequality, we can solve it for x:-1 ≤ x/2multiply both sides of the inequality by 2 to isolate the x on one side.-2 ≤ xWe can represent this inequality on a number line as shown below:We represent the inequality on the number line using a closed circle at x = -2, to indicate that -2 is included in the solution set of the inequality.

Then we shade the line to the right of -2 to represent all real numbers which are greater than or equal to -2. This shading indicates the values of x which satisfy the inequality.

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Answer:

he works 20 per week, so in a month, he will have 20*4= 80 hours, here 4 is the number of weeks in one month, and we have as information that he is paid for one hour $8.50, so you can do: 80*($8.50)= $680

Step-by-step explanation:

(20hours)*(4 weeks)= 80hours

(80hours)*($8.50)= $680

The missing word is "modulus". The statement should read: Twelve is congruent to 60 (modulus 8) because both 12 and 60 have 4 as a remainder when divided by 8.

The modulus function, also known as the modulo operation or mod function, is a mathematical operation that returns the remainder when one integer is divided by another. The modulo operation is a quick and efficient way to find the remainder of a division. For example, if we want to know the remainder when 23 is divided by 5, we can simply compute 23 % 5, which equals 3. The symbol "%" is often used to represent the modulo operation in computer programming, while "mod" is used in mathematical notation to indicate congruence. In either case, the statement means that 12 and 60 leave the same remainder when divided by 8.

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The first difference and second difference of the equation will be given below.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

The quadratic function is given below.

y = x² + 7x + 6

Let the value of the y for x = 0, 1, 2, 3, 4 will be

y(0) = 6

y(1) = 14

y(2) = 24

y(3) = 36

y(4) = 50

The first difference and second difference will be

x       y      first difference        second difference

0       6               ...                                   ...

1       14              8                                   ...

2       24            10                                   2

3       36            12                                   2

4       50            14                                   2

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3.88 milligrams is equal to 0.0388 centigrams, as milligrams are converted to centigrams by moving the decimal point two places to the left.

To convert from milligrams to centigrams, we need to understand their relationship in the metric system. There are 10 milligrams in 1 centigram and 100 centigrams in 1 gram.

Given the value of 3.88 milligrams, we need to convert it to centigrams. To do this, we move the decimal point two places to the left, resulting in 0.0388 centigrams. This is because there are 10 milligrams in 1 centigram, so dividing 3.88 milligrams by 10 gives us the equivalent value in centigrams.

Therefore, 3.88 milligrams is equal to 0.0388 centigrams. It's important to keep track of decimal placement when converting between different units of measurement in the metric system.

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The horizontal asymptotes of the graph of y are lines that the graph approaches but never crosses as x approaches positive or negative infinity. These lines are given by the equation y = b, where b is the y-intercept of the asymptote.

The horizontal asymptotes of the graph of y are lines that the graph approaches but never crosses as x approaches positive or negative infinity. These lines are given by the equation y = b, where b is the y-intercept of the asymptote. In other words, the equation of the horizontal asymptote is the same as the equation of the x-axis, with the y-intercept being the only difference. The horizontal asymptote of the graph of y can be determined by looking at the end behavior of the graph. If the graph of y is approaching a horizontal line as x approaches either positive or negative infinity, then that line is the horizontal asymptote of the graph. Additionally, the slope of the graph of y must become close to zero as x approaches either positive or negative infinity for the line to be the horizontal asymptote. The horizontal asymptote can be used to describe the overall shape of the graph of y, as the graph approaches this line at the ends but never actually crosses it. Knowing the equation of the horizontal asymptote of the graph of y can help to determine the behavior of the graph at large values of x, and can also be used to help determine

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The present value of this investment project is $72,500. This can be solved by the concept of Compound interest.

The perpetual cash flow of $4,350 per year can be considered as an annuity perpetuity, where the cash flow is constant forever. To calculate the present value of this perpetuity, we can use the formula:

Present Value = Annual Cash Flow / Discount Rate

Here, the annual cash flow is $4,350, and the discount rate is the interest rate of 6%. Thus, we can calculate the present value as:

Present Value = $4,350 / 0.06

Present Value = $72,500

Therefore, to participate in this investment project, you would need to pay $72,500 today to receive $4,350 per year forever, starting from one year from now

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Answer:

D

Step-by-step explanation:

4x²= 32

x²= 32 ÷4 (÷4 on both sides)

x²= 8

x= ±√8 (square root bith sides)

☆ A '±' symbol has to be added whenever we introduce a square root as the square of any number, positive or negative, would result in a positive number.

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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The total amount that was raised for charity is £75.

Here is the sample space

                  1               2            3            4            5           6

Heads        1               4            9           16            25        36

Tails           1               8            27          64           125        216

Probability of getting a number greater than 30 = 4/12 = 1/3

1/3 x 450 = 150

Total value of people getting more than 30 : 150 x £1 = £150

Total amount paid = 50 x 450 = £225

Amount raised = £225 - 150 = £75

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Answer:

A triangle where the angles in the inside are 100 degrees, 40 degrees, and 40 degrees.

Step-by-step explanation:

The angles inside a triangle always add up to 180 degrees

And an obtuse triangle is a triangle whose biggest angle is bigger than 90 degrees

100 is biggest angle out of the three angles we're using to make the triangle and 100 is bigger than 90.

Adding the three angles we're using also makes 180 (100 + 40 + 40)

Answer: yes I do believe

As function f(x) is not completely right i assume it to be like f(x)= 10x-200.

Acc. to which the answer is  -350.

What is a function?

A function from a set X to a set Y allocates exactly one element of Y to each element of X.

Main Body:

f(x)= 10x-200

f(4)= 10*4-200

    = 40-200

    =-160

g(x)= 25\(x^{2}\)+90

g(2)= 25*(2)² +90

     = 25*4+90

     =190

So, f(4)-g(2) = -160-190

     = -350

Therefore the answer is -350.

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Answer:

True

Step-by-step explanation:

The coefficient is different, but the exponents are the same

The Probability that the next pair Michael takes out is black = 8 / 19

What is Probability?

Probability is deals with "occurrence of Random event. The value is expressed from 0 to 1".

According to the question,

Total number of pairs of socks = 8 + 12 =20

Probability of taking pairs of black socks,  P(B )= 8 / 20

Probability of taking pairs of white socks,  P(W) = 12 / 20

But after taking Black pair socks the total number socks = 19.

Hence, the Probability of taking Black pair socks from drawer is 8 / 19 .

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The x-intercept is at x = 0, and the y-intercept is at y = -1.5. As x approaches positive infinity, y approaches -0.938, as the fraction that makes up the function decreases as x increases.

The x-intercept is at x = 0, and the y-intercept is at y = -1.5. As x approaches positive infinity, y approaches -0.938. The formula for this function is\(n(x) = -(3/2x - 4)/(x-2)\). When x = 0, the numerator of this fraction is equal to -3/2(0) - 4, which is equal to -4. The denominator is equal to 0 - 2, which is equal to -2. Thus, the fraction is equal to -2, and the y-value at the x-intercept is -1.5. As x increases, the denominator of the fraction decreases, while the numerator remains the same. Thus, the fraction will decrease, and y will approach -0.938 as x approaches positive infinity.

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The polynomial function that could be represented by the graph is f(x) = x² - 4x + 5

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following intercepts (or zeros)

x = -1 and x = 5

The polynomial function that could be represented by the graph is then calculated as

f(x) = The product of the difference between x and the intercepts

Substitute the known values in the above equation, so, we have the following representation

f(x) = (x + 1)(x - 5)

Open the brackets

f(x) = x² - 4x + 5

Hence, the equation is (b) f(x) = x² - 4x + 5

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Answer:

3/10

Step-by-step explanation:

3/10

In simplest form, 30% as a fraction is 3/10. We know that 30% = 30/100

If the volume of a cube decreases at a rate of 10 m/sec, then the  rate at which the side of the cube changes when the side of the cube is 2 m is -0.83 meter per second

The rate of  volume of the the cube decreasing = 10 meter per second

Consider the side of the cube is x

The volume of the cube = x^3

The rate of change of volume with respect to time

dV / dt = 3x^2 dx/dt

dV / dt = -10 meter per second

The dx / dt = (dV / dt) / 3x^2

We haver to find the rate at which side of the cube changes when the side of the cube is 2 meter

Then x = 2

dx / dt = -10 / (3 × 2^2)

= -10 / 12

= -0.83 meter per second

Therefore, the rate at which side of the cube changes when the side of the cubes is 2 meter is -0.83 meter per second

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Answer:

It would be (3,2) since it is being reflected over the line it is already on

Step-by-step explanation:

Answer:(3,2)

Step-by-step explanation:Doube check make sure you double check and not click (3,-2) THAT IS NOT THE ANSWER THE ANSWER IS (3, 2)

Answer:

The answer is 9

Step-by-step explanation:

for the equation:

move the -6x

x^2 + c - 6x

To find c :

c = (b/2)^2

this means you have to divide the coefficient of x by 2 then square the result

If you dont understand I put a picture of all the steps

The sum of the given arithmetic series is 6727.

What is arithmetic series?

The arithmetic series is the sequence of terms where the common difference remains constant between any two successive terms.  A sequence is a collection of numbers which follow a definite pattern. For example, the sequence 1, 5, 9, 13, … is an arithmetic sequence because here is a pattern where each number is obtained by adding 4 to its previous term.

a)

17+20+23+26+ ... + 200

This is in arithmetic progression.

First term (a₁)= 17

common difference (d)= 3

Let the nth term be aₙ

aₙ= a₁ + (n-1)×d

200= 17 + (n-1)×3

61= n-1

n= 62

Let the sum is Sₙ = n/2(2a+(n-1)×d)

                             = 62/2 ( 34+ 61×3)

                            = 31×217

                           = 6727.

Hence, the sum of the given arithmetic series is 6727.

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Answer:

B  (1, 5), (2, 6), (3, 6), (4, 5), (5, 4)

Step-by-step explanation:

-6x-2y=42

x-y=-15

Multiply x-y=-15 by 6 ( eliminate the x first)

6(x-y)=6(-15)

(6)(x)=6x

(6)(-y)=-6y

6(-15)=-90

-6x-2y=42

6x-6y=-90

eliminate x the systems of equations by subtracting

-6x+6x-2y+-6y=42-90

-2y-6y=42-90

-8y=-48

divide both sides by -8 to get y by itself

-8y/-8=-48/8

y=6

Find x by substitution method

use y=6 into one of the system of equations

x-y=-15

x-6=-15

move -6 to the other side

sign changes from -6 to +6

x-6+6=-15+6

x=-15+6

x=-9

answer:

(-9,6)

During evaluation, Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

Given the expression, a³ - b³ / 5, where:

a = 2

b = -3

Substitute the values into the expression

Step 1: (2)³ - (-3)³ / 5

Evaluate

Step 2: 8 - (-27) / 5 (this is where Raya made a mistake, she had -9 instead of -27)

Step 3: 8 + 27/5

Step 4: 35/5 [addition]

Simplify

Step 5: 35/5 = 5 [division]

Thus, we can state that Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

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Answer:

perimeter = 5+9+8+11+8= 41cm

Mode = 8

median= 7

3, 6, |7|, 10, 12

Step-by-step explanation: