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3 years ago

What is the phase shift of the graph of y=−sin(x+π/4)+2

Mathematics

1 answer:

butalik [34]3 years ago

5 0

Answer:

π/4

Step-by-step explanation:

x is the variable

-1 inverts the curve

π/4 is the phase shift or x axis offset

2 is the y axis offset

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1/4(z +3z)+ 7=−z + 1 please help with this ive been stuck

madam [21]

First, simplify the parenthesis. You’ll get:
1/4(4z)+7=-z+1

Then multiply 1/4 by 4z. You’ll get:
z+7=-z+1

Love like terms to the same side. I wanted to have the variable positive on time, so I moved variables to the left and constants to the right. You’ll get:
2z=-6

Divide both sides by 2. You’ll get :
z=-3

3 0

2 years ago

Please help!!!!!!!!

Afina-wow [57]

Answer is C.

The sample is selected at tandon from the population, but it was done on a particular day of the week. So the sample is not random.

More data should be taken, distributed on every day of the week, probably in different months.

7 0

3 years ago

Read 2 more answers

Evaluate the expression for c = -9. -c = _____

Tom [10]

Answer:

- c = 9

Step-by-step explanation:

given c = - 9 ← multiply both sides by - 1

c × - 1 = - 9 × - 1 ⇒ - c = 9

5 0

3 years ago

At time t=0 hours, a tank contains 3000 litres of water. Water leaks from the tank. At the end of every hour there is x% less wa

Margaret [11]

Answer:

x = 2; K = 0.98

Step-by-step explanation:

At time, t = 0, Volume of Water = 3,000 litres

After t hours , the Volume of water in the tank = Vt

At the end of every hour there is a x% less water in the tank then at the start of the hour

After 1 hour, volume of water left Vt = V1

V1 = 3,000 - 3000 × (x/100)

V1 = 3,000 - 30x

After 2 hours, Volume of water left is V2

V2 = (3,000 - 30 x) - (3,000 - 30 x) × (x/100)

V2 = (3,000 - 30 x) - (3000x - 30x²)/100

V2 = {100(3000 - 30x) - x(3000 - 30x)} /100

V2 = {(3000 - 30x)(100 - x)}/100

Recall, V2 = 2881.2

Therefore

{(3000 - 30x)(100 - x)}/100 = 2881.2

(3000 - 30x)(100 - x) = 288120

300000 - 3000 x - 3000 x + 30 x² = 288120

30 x ² - 6000 x + 11880 = 0

Dividing both sides by 30

x² - 200 x + 396=0

Factorizing:

(x -198)(x-2) = 0

x = 198 or x = 2

Since the percentage by which the water reduces cannot be greater than 100, x = 2 is chosen.

Step 2: Solving for k

Given that Vt=KtV0

K = Vt/V0

At t = 1

V1 = 3000 - 30x

V1 = 3000 - 30 × 2

V1 = 3000 - 60

V1 = 2940

K = 2940/3000

K = 0.98

5 0

3 years ago

P= -4b^2+6b-9<br> Q= 7b^2-2b-5<br> P-Q=

insens350 [35]

Answer:

P - Q = - 11b² + 8b - 4

Step-by-step explanation:

P - Q

= - 4b² + 6b - 9 - (7b² - 2b - 5) ← distribute parenthesis by - 1

= - 4b² + 6b - 9 - 7b² + 2b + 5 ← collect like terms

= - 11b² + 8b - 4

5 0

3 years ago