Describe the
transformation from the
graph of of to the graph
of g.

STEP - BY - STEP EXPLANATION

What to do?

Apply the distributive property on the given expression.

Given:

Step 1

Explain what the distributive property mean.

Distributing -1 implies multiplying -1 by each term.

Step 2

Apply the distributive property.

ANSWER

-6v + 4u +1

Answer:

70 points

Step-by-step explanation:

u = US points

c = Canadian points

n = Norwegian points

u = c + 2

n = c - 4

208 = u + c + n

208 = ( c + 2 ) + c + ( c - 4 ) = 3c - 2

Isolate c:

208 = 3c - 2

210 = 3c

c = 70

The piecewise function on the graph is,

f(x) = {  1 -3x ; if x ≤ 2

        { 4-x    ; if x > 2

The graph of a piecewise function is given. The left function is defined on the interval x ≤ 2 and the right function is defined on the interval x > 2.

To find the functions we need two points on each function since both functions are straight lines.

First we will find the left function defined on x ≤ 2.

So the two points are (x₁, y₁) = (0,1) and (x₂, y₂) = (2, -5).

Now slope of the left function, m₁ = (y₂ - y₁)/(x₂ - x₁)

                                                        = -5 - 1/2 - 0

                                                        = -6/2

                                                        = -3

So the equation of the left function is,

y - y₁ = m(x-x₁)

⇒ y - 1 = -3(x-0)

⇒ y = 1 -3x

Thus the left function is f(x) = 1 -3x

Consider the right function.

The two points on the graph of the right function are (x₁, y₁) = (4,0) and (x₂, y₂) = (6, -2).

So slope of the second function, m₂ = (y₂ - y₁)/(x₂ - x₁)

                                                            = -2 - 0/6-4

                                                            = -2/2

                                                            = -1

Now equation for the right function is,

y - y₁ = m(x-x₁)

⇒ y - 0 = -1(x-4)

⇒ y = 4 -x

So the right function is f(x) = 4-x

Hence the piecewise function is,

f(x) = {  1 -3x ; if x ≤ 2

        { 4-x    ; if x > 2

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a) triangle with measurement 1/2 of the original measurement.

b)  rhombus with measurement  2 times the original measurement.

c) parallelogram with measurement 1/4 of the  original measurement.

The polygon is 2- dimensional figure and is any closed curve made of continuous edges also called the sides without intersecting each other,  the corner of a  polygon is called the vertices, the are of basically two types regular and irregular, whereas The scale factor a polygon the ratio of one side of a polygon to the comparing side of the other is called the scale factor. The proportion of all parts of a polygon, including diagonals,  perimeter, and heights is the same as the proportion of the sides.

a) the given scale factor is 1/2  and, we need to construct a scale copy of the triangle having sides measurements 1/2 of the original measurements.

b) the new polygon must have the measurements 2 times the original measurements of the polygon .

c) the new polygon must have dimensions 1/4 of the dimensions of the original measurements.

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The equation is PV = nRT.

The calculations for the ideal gas law are comparison of the Pressure and Volume of gas based upon amount and temperature.

The basic formula is PV = nRT where

P = Pressure in atmospheres (atm)

V = Volume in Liters (L)

n = number of moles (mol)

R = the Ideal Gas Law Constant

T = Temperature in Kelvin (K)

The value of n is the amount of the gas measured as moles.

One may need to convert a mass to moles by dividing the given mass of the gas by the molar mass of the gas to get moles.

Hence, The equation is PV = nRT.

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Answer:

B

Step-by-step explanation:

4x + 2 = 22 ( subtract 2 from both sides )

4x = 20 ( divide both sides by 4 )

x = 5

EXPLANATION

Given the expression 12(3y+x).

Let's solve it:

Applying the distributive property:

12*3y + 12*x

Multiplying like terms:

36y + 12x

The answer is 36y + 12x

Step 1

State the formula for the area of a trapezoid

Step 2

Find the height

Hence, the height = 5m

The function rule of the scenario is f(x) = 15 + 8x

From the question, the given parameters are:

Flat fee = $15

Rate = $8

To determine the function rule of the scenario, we make use of the following template equation

f(x) = Flat fee + Rate * Number of hours

Where

f(x) = total and x = number of hours

So, we have

f(x) = Flat fee + Rate * x

This gives

f(x) = 15 + 8x

Hence, the function rule is f(x) = 15 + 8x

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Recall that in a geometric sequence, whenever we take one value of the sequence and divide it by the next number of the sequence, we would get a constant number unique to that sequence. If we take the first and second numbers and calculate the ratio, we get

if we do that with the second and third numbers, we get

this two numbers should be equal. So we get

if we multiply both sides by 3, we get

so option A is the correct option.

If the average number of babies born at a private hospital's maternity wing is 6 per hour. The probability that three babies are born during a particular 1-hour period in this maternity wing is 0.09.

Mean = 6 per hours

Number of babies = 3 babies

Hence,

Now let determine the probability

Let x represent the probability

Pr(X=3) = e^-6 × 6^3 ÷ 3!

Pr(X=3) =0 .535410 ÷ 6

Pr(X=3) = 0.089

Pr(X=3) =0.09 (Approximately)

Therefore we can conclude that 0.09 is the probability.

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The value of x in the equation given as 1/6(x - 3) = 1/3(x + 2) is 7

The equation is given as

1/6(x - 3) = 1/3(x + 2)

From the question, we can see that the equation is a linear equation with one variable

As a general rule: linear equations are equations that have constant average rates of change.

We start by multiplying both sides of the equation by 6

So, we have the following equation

6 * 1/6(x - 3) = 1/3(x + 2) * 6

Next, we evaluate the products

So, we have the following equation

x - 3 = 2x + 4

Next, we collect the like terms

So, we have the following equation

2x - x = 3 + 4

Evaluate the like terms in the above equation

x = 7

This means that the solution of the equation is 7

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The square roots would not be between 9 and 10 is [tex]\sqrt{80}[/tex].

[tex]\sqrt[]{80}=8.944\\ \sqrt[]{90}=9.486\\ \sqrt[]{95}=9.746\\ \sqrt[]{88}=9.380[/tex]

What are square roots?

The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a, a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of a number is typically only expressed as the positive value.

The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way. It is symbolized by the character "." The number behind the square root sign is referred to as the radicand, whereas the square root symbol itself is known as a radical.

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The dimensions of the enclosure that can be erected at minimum cost are 21.25 feet by 42.50 feet

From the question, the given parameters are

Area = 903 square feet

Shape = rectangle

From the question, we understand that:

One side of the area would be enclosed by the external wall of the store

If the dimensions of the area are Length (L) and Width (W), then we have

Area = LW

Perimeter = 2L + W

Rewrite as

A = LW

P = 2L + W

Substitute 903 for A in A = LW

LW = 903

Make W the subject

W = 903/L

Substitute W = 903/L in P = 2L + W

P = 2L + 903/L

Differentiate the equation

So, we have

P' = 2 - 903/L²

Set to 0

2 - 903/L² = 0

So, we have

903/L² = 2

This gives

L² = 903/2

Divide

L² = 451.5

Take the square roots

L = 21.25

Substitute L = 21.25 in W = 903/L

W = 903/21.25

Evaluate

W = 42.50

Hence, the dimensions of the enclosure are 21.25 feet by 42.50 feet

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The given expression is

To add 2 fractions we have to give them the same denominators

In the up part (numerator) we have 2 different denominators a and b

Then the common denominator of the 2 fractions must be the product of them

Then the fraction will be

Now, we will multiply the denominator of up by the denominator of the first fraction (ab x b)

Multiply b by b to simplify, then

The numerator is 2b + 7a

The denominator is ab^2

Answer:

You actually cannot find Y using this knowledge!

Step-by-step explanation:

( 2, y ) It only shows how X is 2, you need more information to find y. If you can respond, try to give me more information, I am willing to help!

The values a = 10 and b = -6  will make the quadrilateral QRST a parallelogram

For the quadrilateral QRST to be a parallelogram, the diagonal lines TR and QS divide each other into two equal parts at P. Therefore, we can say:

For diagonal line QS, QP = PS:

-a + 27 = -6a + 77

-a + 6a = 77 -27

5a = 50

a = 50/5

a = 10

For diagonal line TR, TP = PR:

2b + 24 = -8b - 36

2b + 8b = -36 - 24

10b = -60

b = -6

Therefore, the value of a and b that will make the quadrilateral QRST a parallelogram is a = 10 and b = -6.

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Answer:

644

Step-by-step explanation:

-4x23=-92

-92x-7=644

hope this helped :)

Answer:

644

Step-by-step explanation:

if you multiply -4 by 23 it equals -92 and then if you multiply -92 by -7 it comes out to a positive 644 because if multiplying a negative by a negative it becomes a positive.

thank you for your question and let me know if it is right or wrong

blessings!

Answer:

17.03 cm

Step-by-step explanation:

Use the Pythagorean theorem, which states a^2+b^2=c^2. 13^2+11^2=290, sqrt290 cannot be simplified down into a whole number, therefore the next closes rounded to the nearest tenth is 17.03.

Answer: The number of baskets = (3n+1)/m

Step-by-step explanation:

The total number of apples picked:

yours (2n-3)  + your friend (n+4)

Divide the combined total by the number in one basket (m):

((2n-3)+(n+4))/m

Simplify:

(3n+1)/m

Answer:

19π/12

Explanation:

We know that

180 degrees = π radians

and we are asked

285 degrees = ? radians?

This can be treated as a ratio problem by saying that

where x is the angle in radians.

Cross multpication gives

dividing both sides by 180 gives

where we have used the fact that 285/12 = 19/12.

(9¹²)⁷

Use the rules of exponents to simplify the expression. To raise a power to another power, multiply the exponents.

9¹² ˣ ⁷

Multiply 12 by 7.

9⁸⁴

Answer: 9^84 is the answer!

Step-by-step explanation:

Slavery and oppression of other people impact others as it brings about discrimination and fear.

In the olden days, slavery was so lucrative that the Mississippi River valley produced more millionaires per capita than any other region of the country. With cash crops like tobacco, cotton, and sugar cane, the southern states of America developed into the country's economic engine.

In Africa, the slave trade had a terrible impact. A culture of lawlessness and violence was encouraged by the financial incentives provided to warlords and tribes to participate in the slave trade. Economic and agricultural development in a large portion of western Africa was virtually impossible due to depopulation and a persistent fear of enslavement.

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Answer:

x = 61/2 = 30.5 = 60 1/2

Step-by-step explanation:

We have:

We have to find the Least Common Multiple to solve this question:

Given the equation:

Let's solve for x.

To find the solution, take the following steps:

Step 1:

Apply the product property of logarithm to the left side of the equation:

Step 2:

Eliminate the log on both sides

Step 3:

Subtract x from both sides

Step 4:

Divide both sides by 2

Therefore, the solution to the given equation is:

ANSWER:

Answer:

Based on the results above, the slope of the tangent line to the curve at P(25,10) is 0.1.

Explanation:

P(25, 10) lies on the curve:

Q is the point (x, √x+5).

For any value of x, the slope of the secant line PQ is determined using the formula:

(a)When x=25.1

(b)When x=25.01

(c)When x=24.9

(d)When x=24.99

Based on the results above, the slope of the tangent line to the curve at P(25,10) is 0.1.

SOLUTION

Let us make a sketch that will help us solve the question

From the image I provided, let the Height of the figure be H.

Then this means that the height of the figure H is

Note that I have splitted the triangle into two.

Now, we need to find the two acute angles

Now, from the triangles splitted in the right side, both are right-angles just like the first (biggest) triangle.

So we will use the trig-ratio, SOHCAHTOA to find the acute angles.

From the smallest triangle in the image,

Now, the second acute angle becomes

The other triangle that is the bigger one which was splitted has opposite side of 3.5m and adjacent side x, hence

Now H becomes

Hence, the height of the figure is 8.50 m to the nearest hundreth