All categories

3 years ago

For the function y=-2+5sin(pi/12)(x-2) what is the maximum value

Mathematics

1 answer:

alexira [117]3 years ago

5 0

The maximum value of the sine function is 1. Therefore the maximum value of y is:
y(max) = -2 + 5 = 3

You might be interested in

Is x - 8 a factor of the function f(x) = -2x3 + 17x2 - 64? Explain.

Oduvanchick [21]

we know that

If $(x-8)$ is a factor of the function $f(x)=-2x^{3}+17x^{2}-64$

then

$x=8$ is a root of the function f(x)

therefore

For $x=8$ the value of the function must be zero

Verify

Substitute the value of $x=8$ in the function

$f(8)=-2(8)^{3}+17(8)^{2}-64$

$f(8)=-2(512)+17(64)-64$

$f(8)=-1,024+1,088-64$

$f(8)=-1,088+1,088$

$f(8)=0$

therefore

the answer is

Yes, $(x-8)$ is a factor of the function f(x)

7 0

3 years ago

Read 2 more answers

Find the value of x. No calculator needed. Leave the square root as a part of your answer.

aleksklad [387]

Answer:

5/V2=2.5×V2

Step-by-step explanation:

This is an isoscelle right triangle:

x²+x²=5²

2x²=5²

x=5/V2=5×V2/2=2.5×V2

where V2=sqrt(2)

4 0

3 years ago

2. Kim is x years old. Jordan is 7 years older than Kim. Four times Jordan’s age is equal to 200.

Shkiper50 [21]

Kim is X
Jordan= x+7
So J x 4=200

This means 4(x+7) = 200
x=43
43+7=50
50 x 4=200

so Kim is 43 and Jordan is 50.

4 0

3 years ago

The volume of a box is 80 cubic feet with length x-3 and width x-1 and height x+5. What are the possible values of x? What are t

Kryger [21]

Answer:

the only possible value of x is 5
the dimensions are 2 × 4 × 10

Step-by-step explanation:

The cubic equation ...

(x -3)(x -1)(x +5) = 80

has one real root: x = 5. Using that value for x, the dimensions become ...

length = 5 - 3 = 2

width = 5 - 1 = 4

height = 5 + 5 = 10

The dimensions are (length, width, height) = (2, 4, 10).

_____

We cannot tell the thrust of the problem, since it has only one solution. Perhaps you're supposed to write the cubic in standard form and use the Rational Root theorem to find possible values of x. That form can be found to be ...

(x -3)(x -1)(x +5) -80 = 0

x³ +x² -17x -65 = 0

Descartes' rule of signs tells you there is one positive real root. The rational root theorem tells you possible rational roots are factors of 65:

1, 5, 13, 65

We know that x must be greater than 3 (so all dimensions are positive). Thus possible values of x are 5, 13, 65, and we're pretty sure that 65 is way too large.