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3 years ago

Y = sin (x) + 60, What transformation does + 60 cause to the sine graph?

Mathematics

1 answer:

mamaluj [8]3 years ago

4 0

Answer:

1. There is a vertical shift.

Step-by-step explanation:

The component +60 translates the original function in the $+y$ direction. The operation is described by following formula:

$f'(x) = f(x) + k$ (1)

Where:

$f(x)$ - Original function.

$f'(x)$ - Resulting function.

$k$ - Vertical translation distance.

Since resulting function is a consequence of a translation in $+y$ direction, then $k>0$ . Hence, correct answer is 1.

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The largest angle in a triangle is three times as big as the smallest angle, and the middle angle is twice as big as the smalles

PtichkaEL [24]

Let X = smallest angle
largest 3x
middle=2x. add the 3 angles of any triangle and you get ,180

x+2x+3x=180
6x=180
x= 30
smallest =30
middle=60
largest=90

8 0

2 years ago

If you flip the five coins, and the probability of one coin being "tails" is 0.50, what is the probability of getting "tails" on

jenyasd209 [6]

Answer: 0.03125

Step-by-step explanation:

We know that the probability of getting a tail , we toss a fair coin = 0.5

Given : Total number of trials = 5

Using binomial probability formula :

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of getting success in x trails, n is total number of trials and p is the probability of getting success in each trial.

The probability of getting "tails" on all five coins :_

$P(x=5)=^5C_5(0.5)^5(1-0.5)^0=(1)(0.5)^5=0.03125$

Hence, the probability of getting "tails" on all five coins =0.03125

8 0

3 years ago

TWO QUESTIONS PLS HELP ASAP

ASHA 777 [7]

Answer: 4. (-1,-1) 3. (3,-2)

4)

Set the equations equal to each other.

4x+3=-x-2

Subtract 3 from both sides

4x=-x-5

Add x to both sides

5x=-5

Divide both sides by 5

x=-1

Next, replace x with -1 in either equation to find y.

-(-1)-2=y

-1=y

3)

Do the same thing for this one and set them equal to each other

-2x+4=-1/3x-1

Add 1 to both sides

-2x+5=-1/3x

Add 2x to both sides

5=5/3x

Divide both sides by 5/3

x=3

Next, replace x with 3 in either equation

-2(3)+4=y

-2=y

4 0

2 years ago

(1) [6pts] Let R be the relation {(0, 1), (1, 1), (1, 2), (2, 0), (2, 2), (3, 0)} defined on the set {0, 1, 2, 3}. Find the foll

goldenfox [79]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

In point 1:

The Reflexive closure:

Relationship R reflexive closure becomes achieved with both the addition(a,a) to R Therefore, (a,a) is $(0,0),(1,1),(2,2) \ and \ (3,3)$