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Alik [6]
3 years ago
12

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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What are the domain and range of the function below?
vagabundo [1.1K]

Answer:

domain = 0 < x < infinity / range = y < 4

Step-by-step explanation:

4 0
3 years ago
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
likoan [24]

Answer:

Thus, the two root of the given quadratic equation x^2+4=6x is 5.24 and 0.76 .

Step-by-step explanation:

Consider, the given Quadratic equation, x^2+4=6x

This can be written as ,  x^2-6x+4=0

We have to solve using quadratic formula,

For a given quadratic equation ax^2+bx+c=0 we can find roots using,

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}  ...........(1)

Where,  \sqrt{b^2-4ac} is the discriminant.

Here, a = 1 , b = -6 , c = 4

Substitute in (1) , we get,

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

\Rightarrow x=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot 1 \cdot (4)}}{2 \cdot 1}

\Rightarrow x=\frac{6\pm\sqrt{20}}{2}

\Rightarrow x=\frac{6\pm 2\sqrt{5}}{2}

\Rightarrow x={3\pm \sqrt{5}}

\Rightarrow x_1={3+\sqrt{5}} and \Rightarrow x_2={3-\sqrt{5}}

We know \sqrt{5}=2.23607(approx)

Substitute, we get,

\Rightarrow x_1={3+2.23607}(approx) and \Rightarrow x_2={3-2.23607}(approx)

\Rightarrow x_1={5.23607}(approx) and \Rightarrow x_2=0.76393}(approx)

Thus, the two root of the given quadratic equation x^2+4=6x is 5.24 and 0.76 .

7 0
3 years ago
Read 2 more answers
Pythagorean triples are super important to know. If the hypotenuse of a triangle is 15, what are its legs ( hint - use the three
Triss [41]

Answer:

9, 12

Step-by-step explanation:

Just multiply the 3,4,5 triple by 3 and u get 9, 12, 15

8 0
3 years ago
A shade of green paint is made by mixing yellow paint and blue paint in the ratio 5:2. Mel has 30 litres of yellow paint and 9 l
vodomira [7]

Answer:

31.5 litres

Step-by-step explanation:

If Mel uses all 30 litres of yellow paint, then:

5 / 2 = 30 / x

5x = 60

x = 12

Mel would need 12 litres of blue paint, but she only has 9 litres.  So the amount of yellow paint she needs is:

5 / 2 = x / 9

2x = 45

x = 22.5

Mel will use 22.5 litres of yellow paint with 9 litres of blue paint to make a total of 31.5 litres of green paint.

4 0
3 years ago
What is 6m+ 5 - 3m=7 (m-1)<br> Please answer ASAP
ELEN [110]

Step-by-step explanation:

6m+5-3m=7(m-1)

3m+5=7m-1

5+1=7m-3m

6=4m

6/4=m

3/2=m

I think it is correct .

5 0
3 years ago
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