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Maksim231197 [3]
2 years ago
12

Choose the function whose graph is given by:

Mathematics
1 answer:
Sophie [7]2 years ago
5 0

Answer:

C.y=sin(x-2)

Step-by-step explanation:

Using the topic of transformation of functions(rules shown in picture above)

the the (x-2) moves the graph to places to the right

and as the sine graph goes through 0 and so you add 2 to the right (but there is a problem in the graph should in the picture as it should me labeled 0,90,180,270,360 not these small numbers)

hope it helps!! :)

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Please show working out thanks
IgorLugansk [536]

Answer:

10m x 15m

Step-by-step explanation:

You are given some information.

1. The area of the garden: A₁ = 150m²

2. The area of the path: A₂ = 186m²

3. The width of the path: 3m

If the garden has width w and length l, the area of the garden is:

(1) A₁ = l * w

The area of the path is given by:

(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36

Multiplying (2) with l gives:

(3) A₂l = 6l² + 6lw + 36l

Replacing l*w in (3) with A₁ from (1):

(4) A₂l = 6l² + 6A₁ + 36l

Combining:

(5) 6l² + (36 - A₂)l +6A₁ = 0

Simplifying:

(6) l² - 25l + 150 = 0

This equation can be factored:

(7) (l - 10)*(l - 15) = 0

Solving for l we get 2 solutions:

l₁ = 10, l₂ = 15

Using (1) to find w:

w₁ = 15, w₂ = 10

The two solutions are equivalent. The garden has dimensions 10m and 15m.

3 0
3 years ago
On a piece of paper, graph y=-3x-2
svet-max [94.6K]
Hope the answer helps!!!
:)

7 0
3 years ago
Chloe's college raises the cost of room and board per semester. This increase raises Chloe's opportunity cost of attending colle
drek231 [11]

Answer:

The answer is "Option C"

Step-by-step explanation:

The choices were missing in the question, which is defined in the attached file please find it.

To attend university, Chole should pay the cost of a room and board each semester.  Even though the Chole will not be in college, she will still have a room as well as a board and continue living.  

  • If she will not attend college, it also has to equate rooms and board costs per six months since increase towards the room or board charges.  
  • If there's an increase in rooms and boarding costs because she did not understand below the rise in their school fees, therefore the financial cost reduces that desire of she attend.

5 0
3 years ago
Adam is building a rectanglar swimming pool. The perimeter of the pool must be no more then 120 feet. If the length of the pool
jasenka [17]

Answer:

W\leq 38\ ft

The maximum width must be 38\ ft

Step-by-step explanation:

Let

L ----> the length of the rectangular pool

W ---> The width of the rectangular pool

we know that

P\leq 120\ ft  

P=2(L+W)

so

2(W+L)\leq 120 ----> inequality A

we have

L=22\ ft

substitute the value of L in the inequality A

2(W+22)\leq 120

simplify

(W+22)\leq 60

W\leq 60-22

W\leq 38\ ft

The maximum width must be 38\ ft

3 0
3 years ago
What is 2/5 + 7/8?<br>a - 9/40<br>b - 9/13<br>c - 50/40<br>d - 51/40​
vichka [17]

Answer:

51/40

Step-by-step explanation:

2/5+7/8

(2*8/5*8)+(7*5/5*8)

16/40+35/40

=>51/40

8 0
3 years ago
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