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Andrews [41]
2 years ago
9

Work out the percentage change when a price of £40 is decreased to £18.

Mathematics
1 answer:
Helen [10]2 years ago
8 0
It’s a 55% decrease
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I will give Brainliest to First and Correct Answer. Can Somebody please help...I really need help and I am struggling.
igor_vitrenko [27]

Answer: B' (5,8), C' (3,1)

Step-by-step explanation:

You can use the points A' (-1,8) and A (-2,-3) to find how many units point A was translated.

-2 + 1 = -1

-3 + 11 = 8

Then, you simply add 1 to the x-values of points B and C and 11 to the y-values of points B and C to get B' (5,8), C' (3,1).

I hope this helps!

4 0
2 years ago
Solve the system (x-1)²+(y-2)²=2² and y=2x+2.
Likurg_2 [28]

Answer:

  (x, y) = (-0.6, 0.8)  or  (1, 4)

Step-by-step explanation:

Use the second equation to substitute for y in the first.

 (x -1)² +((2x +2) -2)² = 4

  x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses

  5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms

Now we can rearrange the middle term to ease factoring by grouping.

  (5x² -5x) +(3x -3) = 0

  5x(x -1) +3(x -1) = 0

  (5x +3)(x -1) = 0

The values of x that make these factors zero are ...

  x = -3/5, x = 1

The corresponding values of y are ...

  y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5

  y = 2(1) +2 = 4 . . . . . . . . for x = 1

The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).

___

A graphing calculator verifies these solutions.

3 0
3 years ago
Find y as a function of x if y"' + 9y' = 0, y(0) = 6, y'(0) = 9, y"(0) = 18. y(x) =
Andreas93 [3]

Answer:

y(x) = 8 - 2cos 3x + 3sin 3x

Step-by-step explanation:

Given the equation:

y''' + 9y' = 0

The characteristic equation :

⇒r³ + 9r =0

Solving for r, we get r = 0 and r = ± 3i

The general equation for such equation is :

<u>y = C₁ + C₂cos 3x + C₃sin 3x</u>

Given:

y(0) = 6

Thus, Applying in the above equation, we get

<u>6 = C₁ + C₂ .......................................................1</u>

Differentiating y , we get:

<u>y' = -3C₂sin 3x + 3C₃cos 3x</u>

Given:

y'(0) = 9

Thus, Applying in the above equation, we get

<u>9 = 3C</u><u>₃</u>

or,

<u>C</u><u>₃</u><u> = 3</u>

Differentiating y' , we get:

<u>y'' = -9C₂cos 3x - 9C₃sin 3x</u>

Given:

y''(0) = 18

Thus, Applying in the above equation, we get

<u>18 = -9C</u><u>₂</u>

or,

<u>C</u><u>₂</u><u> = -2</u>

Applying in equation 1 , we get:

<u>C₁ = 8</u>

Thus,

<u>y(x) = 8 - 2cos 3x + 3sin 3x</u>

4 0
3 years ago
Which number is a multiple of 4/5?
matrenka [14]

Answer:

twenty and forty

Step-by-step explanation:

List them all out

6 0
3 years ago
an aircraft carrier made a trip to guam and back. the trip took three hours and the trip back took 4 hours. it averaged 6 km/h o
ELEN [110]

Answer:

8 kilometers per hour.

Step-by-step explanation:

1-If you multiply the hours of the trip back (which is 4 hours) and the kilometer per hour (6 km/h) you will get 24.

2-Do the same thing with the trip there and you will get 3 hours multiplied by *blank* equals 24.

3-the blank is 8 kilometers per hour. And I wrote equal 24 to mean that the distance to Guam was 24 kilometers.

8 0
3 years ago
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