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3 years ago

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

2 answers:

7 0

The maximum value of the function y = -2+5sin(pi/12(x-2)) is determined by taking the first derivative of the function. The first derivative is equal ( 5 pi/ 12 )* sin ((pi/12) (x-2)) = 0. x is equal to 4472 through the calculator. Substituting to the original equation, the maximum value is 3.

melomori [17]3 years ago

7 0

Answer:

The answer is -7

Step-by-step explanation:

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A triangle has sides with lengths 5, 12, and 13. Verify this is a Pythagorean triple. Approximate the acute angles in this trian

djyliett [7]

A triangle with lengths 5, 12, and 13 is a Pythagorean triple

The approximate acute angles are 22.6° and 67.4°

Pythagorean triple

Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:

c² = a² + b²

A triangle whose sides form a Pythagorean triple is called a right angle triangle.

The longest side is the hypotenuse side.

Therefore,

5² + 12²
25 + 144 = 169
√169 = 13

Therefore,

5² + 12² = 13²

This means the triangle is a Pythagorean triple.

<h3>Acute angles</h3>

Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.

Therefore, let's find them

tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
180 - 22.6 - 90 = 67.4°

learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults

7 0

2 years ago

Read 2 more answers

Help please let me know if I’m wrong or right pls!!!!

Ksju [112]

Answer:

you are correct! nonlinear

Step-by-step explanation:

when this equation is graphed it forms a curved line-- making it non linear :)

4 0

3 years ago

Elyse has $18 on a gift card that she can use to rent movies online. The graph at the right shows the amount of money remaining

blsea [12.9K]

Answer:

see the explanation

Step-by-step explanation:

The complete question in the attached figure

Let

x ----> the number of movies

y ----> the amount of money remaining on her gift card

we know that

The slope of the linear equation is equal to the unit rate

take two points from the graph

(0,18) and (2,12)

Find the slope

$m=(12-18)/(2-0)$

$m=(-6)/(2)=-\$3\ per\ movie$ ---> is negative because is a decreasing function

That means -----> Each movie she rents cost her $3, so her gift card balance will decrease $3 for every movie rented

The linear equation is equal to

$y=-3x+18$

For y=0

$0=-3x+18$

$x=6$

6 is the maximum number of movies that Elyse can rent on line

6 0

3 years ago

Solve the inequality 2(4x+1)<3(2x-3)

Ostrovityanka [42]

Answer:

X<-11/2

Step-by-step explanation:

Hope I helped:)

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x-6%7D%7B5-2x%7D" id="TexFormula1" title="f(x)=\frac{3x-6}{5-2x}" alt="f

Svetradugi [14.3K]

i) The given function is

$f(x)=\frac{3x-6}{5-2x}$

The domain is all real values except the ones that will make the denominator zero.

$5-2x=0$

$-2x=-5$

$x=2.5$

The domain is all real values except, x=2.5.

ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.

$5-2x=0$

$-2x=-5$

$x=2.5$

iii) If we equate the numerator to zero, we get;

$3x-6=0$

$3x=6$

This implies that;

$x=2$

iv) To find the y-intercept, we put x=0 into the given function to get;

$f(0)=\frac{3(0)-6}{5-2(0)}$ .

$f(0)=\frac{-6}{5}$ .

$f(0)=-\frac{6}{5}$ .

The degrees of both numerator and the denominator are the same.

The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.

The horizontal asymptote is $y=-\frac{3}{2}$ .

vi) The function has no common factors that are at least linear.

The function has no holes in it.

vii) This rational function has no oblique asymptotes because it is a proper rational function.

3 0

3 years ago