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mamaluj [8]
3 years ago
5

identify the maximum and minimum values of the function y = 3 cos x in the interval [-2π, 2π]. Use your understanding of transfo

rmations, not your graphing calculator.
Mathematics
1 answer:
RoseWind [281]3 years ago
8 0
The "vanilla" y=cos(x) function oscillates between -1 and +1. In the given function, only a multiplication with 3 is applied. The min and max scale accordingly, so the maximum becomes +3 and the minimum -3.

The x interval of <span>[-2π, 2π] ensures that all y values are enclosed; the cosine makes two full sweeps.</span>
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Help me round this math question
Olenka [21]

Answer:

37.7

Explanation:

Just look at the number behind it if its a 5 or above it rounds up if not it stays the same and the ret of the numbers are zeros

3 0
3 years ago
Read 2 more answers
In which direction does the graph of the function shown below open?
sp2606 [1]

Answer:

D. Up

Step-by-step explanation:

When a parabola has the form  y=ax^2+bx+c , It is vertical (opens up or down).

Because the variable "x" is squared.

If  "a" is positive, then the parabola opens up, but if it is negative, then the parabola opens down.

In this case you have the quadratic function:

f(x) = 2x^2+5x-4

Which can be rewritten as:

 y = 2x^2+5x-4

Therefore, it is vertical, because it has the form:  y=ax^2+bx+c

You can observe that the value of "a" is:

a=2

Then, since "a" is positive, the parabola opens up.

5 0
3 years ago
Ahmet rents a piano for $35 per month. He earns $25 per hour giving piano lessons to students. He wants to know
Vinvika [58]

Answer:

25h-35=440

440+35=25h

475=25h

475÷25=h

h=19

19 hours

It will take 19 hours of lessons.

3 0
4 years ago
What is 4x - 3 = -2x + 9
Ugo [173]

Answer:

the answer is x=2

Step-by-step explanation:

4x+2x=9+3

6x=12

x=2

7 0
3 years ago
What is the quotient of these complex numbers?<br><br> (8-6i)/(3-i)
Aleks04 [339]

Answer: z = 6i / (4+3i)

Step-by-step explanation: Rectangular form:

z = 0.72+0.96i

Angle notation (phasor):

z = 1.2 ∠ 53°7'48″

Polar form:

z = 1.2 × (cos 53°7'48″ + i sin 53°7'48″)

Exponential form:

z = 1.2 × ei 0.2951672

Polar coordinates:

r = |z| = 1.2  magnitude (modulus, absolute value)

θ = arg z = 53.1301° = 53°7'48″ = 0.2951672π  angle (argument or phase)

Cartesian coordinates:

Cartesian form of imaginary number: z = 0.72+0.96i

Real part: x = Re z = 0.72

Imaginary part: y = Im z = 0.96

Hope this helps!

I am joyous to assist you anytime.

~Jarvis

3 0
3 years ago
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