All categories

3 years ago

What is the period of the graph y=1/2sin (pix)+3? A- 3 B- 1/2 C-pi D-2

Mathematics

1 answer:

dimaraw [331]3 years ago

3 0

The period is 2.

Normally the period of sin(x) is 2pi, but the pi inside the sin(pix) is a horizontal compression by a factor of 1/pi. So 2pi·1/pi = 2

The "1/2" and "+3" do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.

You might be interested in

Inverse of the function f(x) = 2x + 5?

andrew-mc [135]

Answer:

$y^{-1} =\frac{1}{2} x-\frac{5}{2}$

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A traffic study determined that a larger city population indicates a

adoni [48]

Answer:

There must he a circulation. May not be causation.

5 0

3 years ago

X + y = 4

zalisa [80]

Answer:

Well it would come out to 2x-3y=-9

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the true solution to the equation below? 2 in e in2×-in e in 10×= in 30 A x=30 B x=75 C x=150 D x=300

hodyreva [135]

Answer:

Option B.

Step-by-step explanation:

Let as consider the given equation:

$2\ln e^{\ln 2x}-\ln e^{\ln 10x}=\ln 30$

It can be written as

$2(\ln 2x)-(\ln 10x)=\ln 30$ $[\because \ln e^a=a]$

$\ln (2x)^2-(\ln 10x)=\ln 30$ $[\because \ln a^b=b\ln a]$

$\ln \dfrac{4x^2}{10x}=\ln 30$ $[\because \ln \dfrac{a}{b}=\ln a-\ln b]$

$\ln \dfrac{2x}{5}=\ln 30$

On comparing both sides, we get

$\dfrac{2x}{5}=30$

Multiply both sides by 5.

$2x=150$

Divide both sides by 2.

$x=75$

Therefore, the correct option is B.

7 0

4 years ago

Amy purchased a house for $551,000 and obtained a mortgage for $519,000 she purchased 3 discount points and 2 origination points

Olegator [25]

Discount points are normally a type of prepaid interests that lowers the interest on subsequent payments for mortgage borrowers pay.

Each of the points is given by:

1 point = 1% of the mortgage value.

Therefore,
Cost of discount points = 0.01*519,000*3 = $15,570
Cost of origination points = 0.01*519,000*2 = $10,380

In this regard, option B. is the correct answer on the cost of discount and origination points respectively.

4 0

4 years ago