Suppose the equation of line p is x = 2 and the equation of line q is x = –1. What translation is equivalent to (Rp ∘ Rq) (ΔABC)?

Answer:

-3x+10y

Step-by-step explanation:

Given the expression [tex]-4\left(2x-y\right)+y+5\left(x+y\right)[/tex], we are to simplify by combining the like terms. On simplification we have;

[tex]= -4\left(2x-y\right)+y+5\left(x+y\right)[/tex]

Open the parenthesis:

[tex]= -4(2x)-4(-y)+y+5(x)+5(y)\\\\= -8x+4y+y+5x+5y[/tex]

Collect the like terms:

[tex]= -8x+5x+4y+y+5y[/tex]

Sum up the resulting expression

[tex]= -8x+5x+4y+y+5y\\= -3x+10y[/tex]

Hence the required expression on simplification is -3x+10y

Answer:

230 capsules.

Step-by-step explanation:

The following data were obtained from the question:

Taste >>>>>>>>>>> Frequency

Volluto >>>>>>>>>> 12

Livanto >>>>>>>>>> 7

Ristretto >>>>>>>>> 23

Cosi >>>>>>>>>>>> 3

Other >>>>>>>>>>> 5

Next, we shall determine the total frequency.

This is illustrated below:

Total frequency = 12 + 7 + 23 + 3 + 5

Total frequency = 50

Finally, we shall determine the number of Ristretto in 500 capsules.

This can be obtained as follow:

Number of Ristretto = Frequency of Ristretto /total frequency x total capsule

Frequency of Ristretto = 23

Total frequency = 50

Total capsule = 500

Number of Ristretto = 23/50 x 500

Number of Ristretto = 23 x 10

Number of Ristretto = 230.

Therefore, the number of Ristretto in the 500 capsules is 230.

Answer: find the answer in the explanation

Step-by-step explanation:

Given the function and its parent function, to describe the

transformation of g(x) = 1/3x^2

First sketch the graph of the parent function which is g(x) = x^2

For every value of x, g(x) will take the value it would have had at kx, that is, the graph of g(x) = x^2 is stretched by a factor of 1/3 in the x - direction.

Find the attached files for the graph and solution

After raising the walls of the building of height 2cm 5 times the height of the wall will be 10cms.

Multiplication is a short hand of addition like if we have to add 2 by100  times it is same as multiplying 2 with 100 which is 200.

According to the given question Bryce is making a model building.

Said that he raises the walls of the building by 2 centimeters five times.

So, Either we can sum 2 centimeters 5 times which is (2 + 2 + 2 + 2 + 2) which is

= 10cms.

Or we can multiply the height of the building which is 2 cm by the no. of times he raised it which is 5.

∴(2×5) = 10cms.

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Answer:

x^4−5x^3+10x^2−12x+7

Step-by-step explanation:

Distribute:

=(x^3)(x)+(x^3)(−1)+(−2x^2)(x)+(−2x^2)(−1)+(3x)(x)+(3x)(−1)+(−4)(x)+(−4)(−1)+−2x^3+5x^2+−5x+3

=x^4+−x^3+−2x^3+2x^2+3x^2+−3x+−4x+4+−2x^3+5x^2+−5x+3

Combine Like Terms:

=x^4+−x^3+−2x^3+2x^2+3x^2+−3x+−4x+4+−2x^3+5x^2+−5x+3

=(x^4)+(−x^3+−2x^3+−2x^3)+(2x^2+3x^2+5x^2)+(−3x+−4x+−5x)+(4+3)

=x^4+−5x^3+10x^2+−12x+7

Answer:

Sharika needs 2.5 days to finish the remaining work

Step-by-step explanation:

Sharika can do a work in 6 days palkey can do it in 8 days

Then the amount of work sharika can do in 1 day = 1/6

And the amount of work palkey can do in 1 day = 1/8

The amount of work both of them can do together in 1 day = 1/6 + 1/8

= 7/24

The amount of work both of them can do together in 2 day = (2× 7/24)

= 7/12

Since Palkey left the work,the amount of

work remaining for Sharika to do alone = (1 - 7/12 )

= 5/12

The number of days Sharika take to finish the remainig work. = (5/12 ÷ 1/6 )

= 5/2 days

Therefore, Sharika needs 2.5 days to finish the remaining work.

Answer:

The output is 5

Step-by-step explanation:

y=x+2,

Let x =3

y = 3+2

y = 5

The output is 5

Answer:

5

Step-by-step explanation:

We are given the relation:

y=x+2

The input is also called "x", and the output is also known as "y". We want to find the output, or y, when x is equal to 3.

Therefore, we must substitute 3 in for x and solve.

y= x+2 at x=3

y=3+2

Add 3 and 2.

y=5

If the relation is y=x+2 and the input is 3, then the output is 5.

Answer:

Letter B because it is less than. < is less than

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

c < 27.50

The sign < means less than.

Plug the numbers in and you've got:

The cost is less than $27.50

Good luck mate :)

Answer:

x = 34

Step-by-step explanation:

x/3  - 7/3 = 9

Combine like terms

(x-7)/3 = 9

Multiply each side by 3

(x-7)/3 * 3 = 9*3

x-7 = 27

Add 7 to each side

x-7+7 = 27+7

x = 34

Answer: c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To help understand how to solve this, try using a number line. You start at negative 5 and move 40 to the right. Whenever you add a positive you move to the right, and when you add a negative you move to the left!

Answer:

4sqrt(2) + 1

Step-by-step explanation:

Well you know that cos 0 is 1

this means that a+b = 9

cos 60 is 1/2

this means 1/2 a + b = 5

a = 8

b = 1

now plug in for x = 45

cos 45 = sqrt(2)/2

Answer:

Adding

Adding

Step-by-step explanation:

Answer:

A D E

Step-by-step explanation:

all the other number have decimals

Answer:

A. Third quartile – First quartile

Step-by-step explanation:

The interquartile range is found by taking the third quartile minus the first quartile.  It is also found by taking the right side of the box in a box  and whisker plot and subtracting the left side of the box  in a box  and whisker plot

Answer:

283.972

Step-by-step explanation:

i just know

Answer: 283.972

Step-by-step explanation: You have to use long multiplication to evaluate the equation.

I hope this helps you out.

Answer:

[tex] f(x) = 2x ^{2} + 7x - 4[/tex]

Step-by-step explanation:

[tex] \because \: f(x) = (2x - 1)(x + 4) \\ \therefore \:f(x) = 2x(x + 4) - 1(x + 4) \\ \therefore \:f(x) = 2x ^{2} + 8x - x - 4 \\ \therefore \:f(x) = 2x ^{2} + 7x - 4 \\ [/tex]

Answer:

A- 15

Step-by-step explanation:

I think option no a is answer

Answer:

He has $138

Step-by-step explanation:

you would divide 500/2 and then subtract one side by 112 to get the answer.

Answer:

46.91%

Step-by-step explanation:

The first solution contains 11 * 0.25 = 2.75 L of vinegar

The second solution contains 12 * 0.67 = 8.04 L of vinegar

When mixed together, that adds up to 8.04 + 2.75 = 10.79 L of vinegar

The total volume of the combined solutions is 11 + 12 = 23 L of solution

So the new concentration is 10.79/23 ≈ 0.4691 ≈ 46.91%

Answer:

[tex]D = \$2500[/tex]

Step-by-step explanation:

Given

Represent the financial los s in the first year as F1 and the second year as F2

[tex]F_1 = \$3000[/tex]

[tex]F_2 = \$500[/tex]

Required

How much is greater is F1 than  F2

What this question implies is that; the difference between both finan cial losses be calculated;

Represent the difference with D

[tex]D = F_2 - F_1[/tex]

Substitute values for F1 than  F2

[tex]D = \$3000 - \$500[/tex]

[tex]D = \$2500[/tex]

Hence, the calculated difference is $2500

Answer:

27/3 = 9

Step-by-step explanation:

"How many times does 3 go into 27?" is the same as asking "How much is 27 divided by 3?" Thus, the answer can be calculated as follows:

27/3 = 9"How many times does 3 go into 27?" is also the same as asking "What (x) do you multiply by 3 to get 27?" We solve the problem with an easy algebra equation:

3(x) = 27

x = 9

Tip: When you get a question like "How many times does 3 go into 27?", just think of it as how many times you can fit 3 into 27.

The answer on this page is rounded to the nearest decimal if necessary.

Answer: X= -10, and X=2

Step-by-step explanation:

Answer:

X=-10 and x=2

Step-by-step explanation: so the answers would be A. And D.

Answer:

Value of miles traveled (m) = 13 mile

Step-by-step explanation:

Given:

Equation

3.00 + 0.50 m = 9.50

Find:

Value of miles traveled (m)

Computation:

3.00 + 0.50 m = 9.50

0.50 m = 9.50 - 3.00

0.50 m = 6.50

m = 6.50 / 0.50

m = 13

Value of miles traveled (m) = 13 mile

Answer:

The question is not complete, below is the complete question:

A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3.00 + 0.50 m = 9.50, where m represents the number of miles traveled.

Which statement shows the meaning of the driver's equation? Check all that apply.

a.) Three dollars added to $0.50 is the same as $9.50.

b.) Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.

c.) Three dollars more than the quotient of $0.50 and the number of miles is nine dollars and fifty cents.  

d.) The product of the number of miles and the sum of $3 and $0.50 is equal to $9.50.

e.) The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

Answers

The correct answers are:

b

e.) The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

Step-by-step explanation:

The formula written by the driver is: 3.00 + 0.50 m = 9.50

where m = number of miles travelled

This means that when the product of 0.50 and the number of miles travelled 'm' is added to $3, the result is 9.50

And this is the same explanation as the following options:

a.) Three dollars($3) plus $0.50 times the number of miles is equal to nine dollars and fifty cents($9.50).

e.) e.) The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents;

note that 50 cents is the same as $0.50

Answer:

0

because -8 powered 2 and -8 powered 2 is same. 64-64=0

Step-by-step explanation:

Answer:

The correct unit price can be calculated by dividing the total price paid by 84 that was the number of pairs of padded work gloves that were bought:

$102.48/84=$1.22

The correct unit price is $1.22.

-The error is that the person calculated the unit price by dividing the total price paid by 7 but the statement indicates that the contractor purchased 7 dozen pairs, which means: 7*12= 84. According to this, the contractor purchased 84 pairs of padded work gloves.

Answer:

=30076 customers

Step-by-step explanation:

Number of customer= 51,200

rate of declination=3.8 %= 0.038

We will use the expresion below in calculating the approximate number of customers that visit the business in 14 years.

A=Pe^(rt)

Where P=initial amt,

r=annual rate of growth or decline,

A=amount after t years.

37800=Pe^.017t

51200=Pe^0.038

P= 51200/e^(0.038*14)

But e^(0.038*14)= 1.7023

P= 51200/1.7023

P=30076

Approximate number of customers that visit the business in 14 years≈30076

Answer:yes 1 =-1

Step-by-step explanation:

Gray gob you are correct

Answer:

l = 15 and w = 25

Step-by-step explanation:

[tex]l - w = - 10[/tex]

[tex]l + w = 40[/tex]

Adding both equations

[tex]2l = 30[/tex]

[tex]l = 15[/tex]

subtracting both equation

[tex]2w = 50[/tex]

[tex]w = 25[/tex]

Hope it helps..........

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Answer:

Length=30 Width=10

Step-by-step explanation:

Answer:

8 in.

Step-by-step explanation:

Perimeter of a rectangle, P = 2(L + W)

Value of P = 46.

Length is 7 inches less than the width.  This translates to L = W - 7

Substitute L = W - 7 into the perimeter equation, you get

46 = 2(W - 7 + W)

46 = 2(2W - 7)

46 = 4W - 14

4W = 60

W = 60 / 4 = 15 in

L = W - 7 = 15 - 7 = 8 in

The width and length of the rectangle in inches are 17 and 10 respectively.

Perimeter is the sum of the lengths of all the sides of a given plane figure.

According to the given question the length of a rectangle is 7 inches less than its width.

Assuming the width of the rectangle is x inches.

∴ From the given data length of the rectangle is ( x - 7) inches.

Given perimeter is 54 inches.

We know perimeter of a rectangle is 2( length + breadth).

∴ 2{ x + ( x - 7) } = 54.

  2 { 2x - 7 } = 54

  4x - 14 = 54

  4x = 54 + 14

  4x = 68

    x = 17.

So, the width of the rectangle is 17 inches and length of the rectangle is (17 - 7) inches which is 10 inches.

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