Find the equation of the line which passes through (4,1) and is parallel to the line with equation 2y=x+1

Answer:

x = 1/3

Step-by-step explanation:

•3x - 1 = 1 - 3x *group like terms*

•3x + 3x = 1 + 1 *remember whenever you transpors the sign changes*

•6x/6 = 2/6

• x = 1/3

Using it's concept, the range of the function f(x) = -x + 5 in the domain [-3,2] is [3,8], and the graph is given at the end of the answer.

The range of a function is the set that contains all possible output values of the function for a given domain(set of input values). In a graph, the range is given by the vertical axis, that is, by the values of y.

From the graph shown at the end of the answer, y assumes values between 3 and 8, hence the range is of [3,8].

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The abbreviated formula is -4xy (5x(x-y) - y(4x + y)).

The answer to the question is that common words outside of the brackets can be used to simplify the supplied equation.

Therefore,

Required expression is -4xy(5x2 - 9xy -y2), which is equivalent to -4xy(5x2 - 5xy - 4xy -y2).

The final formula will be: -4xy(5x(x-y) - y(4x + y)).

Therefore, the abbreviated formula is: -4xy(5x(x-y) - y(4x + y)).

In mathematics, simplification is a technique that makes a complex equation simpler in a less complex way. This approach makes expression calculation possible.

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This is the random sampling is used in the statement.

According to the statement

We have to find that the about the sampling.

So, For this purpose, we know that the

A sample is an outcome of a random experiment. once we sample a chance variable, we obtain one specific value out of the set of its possible values. that exact value is termed a sample.

From the given information:

if she chooses a sample of the population that offers everyone an equal chance of participating, this might be a(n) sample.

Then

According to this, there is random sampling is used.

Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen.

So, This is the random sampling is used in the statement.

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The fraction of the carpet covered by the rug will be 1/15.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

A rectangular carpet estimates 10 m by 6m. Some portion of the rug is covered by a square rug of length 2 m.

The area of the carpet is given as,

A = 10 x 6

A = 60 square meters

The area of the rug is given as,

a = 2 x 2

a = 4 square meters

A fraction of the carpet is covered by the rug is given as,

⇒ 4 / 60

⇒ 1 / 15

A fraction of the carpet covered by the rug will be 1/15.

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The missing diagram is attached below.

The coordinates of the vertices of the image are Q'(x, y) = (- 1.5, 6), T'(x, y) = (0, - 3), R'(x, y) = (1.5, 3) and S'(x, y) = (3, - 3), respectively.

A dilation is a kind of rigid transformation, that is, a transformation applied on geometric loci such that its Euclidean distance is conserved. According to the statement, we must the following dilation to generate the image:

P'(x, y) = (3 / 2) · P(x, y)

If we know that Q(x, y) = (- 1, 4), T(x, y) = (0, - 2), S(x, y) = (2, - 2) and R(x, y) = (1, 2), then the vertices of the images are:

Q'(x, y) = (3 / 2) · (- 1, 4)

Q'(x, y) = (- 1.5, 6)

T'(x, y) = (3 / 2) · (0, - 2)

T'(x, y) = (0, - 3)

R'(x, y) = (3 / 2) · (1, 2)

R'(x, y) = (1.5, 3)

S'(x, y) = (3 / 2) · (2, - 2)

S'(x, y) = (3, - 3)

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Answer:

17

Step-by-step explanation:

[tex]\sf |-3d-6|+|-5-d^2| \quad for\:\: d = -3[/tex]

Given expression:

[tex]\sf |-3d-6|+|-5-d^2|[/tex]

substitute d = -3

[tex]\sf |-3(-3)-6|+|-5-(-3)^2|[/tex]

simplify following inside parenthesis

[tex]\sf |9-6|+|-5-9|[/tex]

simplify by combining integers

[tex]\sf |3|+|-14|[/tex]

if |-a| or |a| then equals to a

[tex]\sf 3+14[/tex]

evaluate:

[tex]\sf 17[/tex]

Answer:

17

Step-by-step explanation:

Given expression:

[tex]|-3d-6|+|-5-d^2|[/tex]

To evaluate for d = -3, substitute d = -3 into the expression:

[tex]\implies |-3(-3)-6|+|-5-(-3)^2|[/tex]

[tex]\textsf{Apply exponent rule} \quad a\cdot a=a^2:[/tex]

[tex]\implies |(-3)^2-6|+|-5-(-3)^2|[/tex]

[tex]\textsf{Apply exponent rule} \quad (-a)^2=a^2:[/tex]

[tex]\implies |3^2-6|+|-5-3^2|[/tex]

[tex]\implies |9-6|+|-5-9|[/tex]

Subtract the numbers:

[tex]\implies |3|+|-14|[/tex]

[tex]\textsf{Apply absolute rule} \quad |a|=a, \quad a\geq 0[/tex]

[tex]\implies 3+|-14|[/tex]

[tex]\textsf{Apply absolute rule} \quad |-a|=a, \quad a > 0[/tex]

[tex]\implies 3+14[/tex]

Add the numbers:

[tex]\implies 17[/tex]

Answer:

g=−28

Step-by-step explanation:

-74 = g/7 + -70

Let's solve your equation step-by-step.

−74=g/7−70

Step 1: Simplify both sides of the equation.

−74=g/7−70

−74=1/7g+−70

−74=1/7g−70

Step 2: Flip the equation.

1/7g−70=−74

Step 3: Add 70 to both sides.

1/7g−70+70=−74+70

1/7g=−4

Step 4: Multiply both sides by 7.

7*(1/7g)=(7)*(−4)

g=−28

Answer:

6x

Step-by-step explanation:

Because, 6 multiplied by x, we know that if there is just an x, we add a 1, so it would be 1x. 1x multiplied by 6 is 6x.

Hope this helps you!

Answer:

6x

Step-by-step explanation:

The product means multiply

6*x

6x

Answer:

The true statements are the 1st, 2nd, and 4th statement.

Answer:

-175

Step-by-step explanation:

thats the answer to the question

Here is a diagram of a straightedge and compass construction. c is the center of one circle, and b is the center of the other. Since both segments begin at point B, their lengths are equal.

Both segments begin at point B, their lengths are equal.

Since the radius of the smaller circle is the distance from its center (B) to its edge, length BD equals length AB.

Using the attached diagram

The larger circle's center is at C, while

Point B is the location of the smaller circle's center.

The smaller circle passes through the larger circle, dividing it into two segments, BD and AB, which extend from the smaller circle's center to their intersecting edges.

As a result, since both segments begin at point B, their lengths are equal.

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Answer:

( 10 , -3 )

Step-by-step explanation:

→ See which coordinate is affected by a translation right

x

→ Apply

( 10 , y )

→ See which coordinate is affected by a translation down

y

→ Apply

( 10 , -3 )

Answer:

[tex] \sf \: 19c + 30 [/tex]

Step-by-step explanation:

Given expression,

→ 1(19c + 30)

Let's simplify the expression,

→ 1(19c + 30)

→ 1(19c) + 1(30)

→ (1 × 19)c + (1 × 30)

→ (19)c + (30)

→ 19c + 30

Hence, answer is 19c + 30.

Each pound of brand B costs 0.33 dollars less than each pound of brand A.

Here we need to find the cost per pound for both brands, to get that, we need to get the quotient between the costs and the number of pounds.

For brand A the cost is $37.80 and you get 35 pounds, then the cost per pound is:

A = $37.80/35 = $1.08

Then each pound for brand A costs 1.08 dollars.

Now let's do the same for brand B, the cost is $33.75, and you get 45 pounds, then the cost per pound is:

B = $33.75/45 = $0.75

Then each pound for brand B costs 0.75 dollars.

So brand B is cheaper, and the difference is:

1.08 dollars -  0.75 dollars = 0.33 dollars.

Each pound of brand B costs 0.33 dollars less than each pound of brand A.

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Answer: 12

Step-by-step explanation: we know that a^2 + b^2 = c^2, pythagorean theorem. We're given a and c in this case, which are 16 and 20 respectively. so that means 16^2 + x^2 = 20^2. After evaluating the equation, we get 256+ x^2 =400. now subtract 256 from both sides and then we get x^2 = 144. take the square root of both sides and we end up with x = 12.

Answer:

50 degrees

Step-by-step explanation:

The angle of ABE is opposite to angle CBD, which means that ABE = CBD

It is a math rule, all opposite angles are equal.

Answer:

x=82.7

Step-by-step explanation:

3x+6-6=248

3x=248

x=82.7

Answer:  

Step-by-step explanation:

3x   +  6  −  6  =  248

3x  +  6  +  −  6  =  248

(  3x  )   +  (   6   +  −  6  )  =  248      (ℂ  )

3x  =  248

3x  /  3  = 248  /  3

x   =   248  /  3

x  =  82.6

See attachment for the graph and the function is a continuous function.

The function definition is given as:

f(x) =  [ x-4 if x < 2

         [-2x+2 if x ≥2

The above function is a piecewise function.

So, we plot each function by its domain

Having said that, the next step is to plot the graph of the functions in f(x) according to their domain

See attachment for the graph

Also, the function is a continuous function.

This is so because there is no break in the function value i.e. domain and range are the set of all real values

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Answer:

8456/1000 Is the fraction of 8.456

Answer:

1057/125

Just write the number in a calculator and press equal. It'll give you the number in fraction

Using the concept of even and odd functions, it is found that, considering the function has a local max at (-1,3):

For a function increasing on [2,5], we have that:

Hence, considering the function has a local max at (-1,3):

For a function increasing on [2,5], we have that:

For even functions it will decrease because we have that f(4) > f(3), for example, hence f(-4) > f(-3).

For the odd function it will increase because if f(4) > f(3), then f(-3) > f(-4) due to the negative signal.

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[tex]450 - 300 = 150 \\ 150 \div 2 = 75t \\ the \: average \: rate \: of \: growth \: per \: year \: is \: 75 \: student \: per \: year[/tex]

Answer:

Step-by-step explanation: We can begin by rewriting the equation. That would look like so:

3/9 = x/12

We need to solve for x. Our first step is to identify a common denominator. Let's list the multiples of each denominator.

9: 9, 18, 27, 36

12: 12, 24, 36

Our common denominator is 36.

Now, let's cross multiply:

3 x 12 = 36

9 x ? = 36

36 ÷ 9 = 4

x = 4

Final answer: 3/9 = 4/12, where x = 4.

Answer:x=6

Step-by-step explanation:

6x-4-4x+1=9

subtract 1 from both sides

6x-4-4x=8

add 4 to both sides

6x-4x=12

subtract 6x by 4x

2x=12

divide by 2 on both sides

x=6

Answer:

Uhh the answer should be x^3 + y^3 + z^3 for k

Step-by-step explanation:

That's what it says in question, which is the answer.

Pls brainlieset :0?

Two column proof is a way to portray proofs in geometry.A two column proof always has two columns, one for statement and the other for reason.

The rules of a two column proof are, every statement should be numbered, every statement should have a reason. There is no order for the statements but it is better to maintain logocal order.Reasons for the statements are theories, previously proved theorems that justify the statement.

A,B,C,D are on a line and we have to prove that if AB=CD then AC=BD

Statements                                                  Reasons

1.A,B,C,D are collinear                               1.given

2.AB=CD                                                     2.given

3.BC=BC                                                     3.reflexive

4.AB+BC=BC+CD                                       4.adding 2 and 3

5.AB+BC=AC and BC+CD=BD                  5. Segment addition

6.AC=BD                                                     6.Substitution

Thus it is proved by two column proof that if AB=BC then AC=BD

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Answer:

Step-by-step explanation:

4+2=6

6/2=3

The Number of Gallons drained per minute from the pool is; 931.5 gallons drained per minute

Constant rate is simply a rate that remains unchanged regardless of change in parameters.

Now, we are told that One hundred three and one half gallons drained in the last 9 minutes from a pool. Thus;

Amount of gallons that drained from pool = 103¹/₂ gallons = 207/2 gallons

Time it took to drain = 9 minutes

Thus;

Number of Gallons drained per minute from the pool = (207/2)/9

Number of Gallons drained per minute from the pool = (207 * 9)/2

Number of Gallons drained per minute from the pool = 931.5 gallons drained per minute

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Answer:

626 times 6261 plus 276262

Step-by-step explanation:

i buy 626 cookies and 1000 million water how much did i eat and drink?