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4 years ago

What is the maximum value?

Mathematics

1 answer:

Pavel [41]4 years ago

5 0

Answer:

the maximum value is 3

Step-by-step explanation:

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.

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What is the absolute value of |-12|

aleksklad [387]

Answer:

Step-by-step explanation:

4 0

3 years ago

Help help help help thanks lol

riadik2000 [5.3K]

$f(x)=x^2-81\\
y=x^2-81\\
x^2=y+81\\
x=\pm \sqrt{y+81}\\
f^{-1}(x)=\pm \sqrt{x+81}\\$

$f(x)=2x-6\\
y=2x-6\\
2x=y+6\\
x=\dfrac{1}{2}y+3\\
f^{-1}(x)=\dfrac{1}{2}x+3\\
f^{-1}(2)=\dfrac{1}{2}\cdot2+3\\
f^{-1}(2)=1+3\\
f^{-1}(2)=4$

5 0

3 years ago

Mrs. Moore is making packages of art supplies for an art project. Each package contains sheets of white paper and blue paper. Th

Romashka [77]

Answer:

The maximum number of packages that can be made are 12 packages

The number of sheets of blue paper and white paper per package = 7 and 8 sheets respectively

Step-by-step explanation:

The number of sheets of blue paper available to Mrs. Moore = 84 sheets

The number of sheets of white paper available to Mrs. Moore = 96 sheets

The number of blue paper in each package = The number of white paper in each package

Therefore, the maximum number of packages that can be made is given by the Highest Common Factor, HCF, of 84 and 96 which is found as follows;

The prime factors of 84 = 2² × 3 × 7, from which we have;

Factors of 84 = 4 × 3 × 7 = 12 × 7

The prime factors of 96 = 2⁵ × 3, from which we have;

Factors of 96 = 4 × 8 × 3 = 12 × 8

∴ The HCF of 84 and 96 = 12

The maximum number of packages that can be made = Twelve packages

The number of sheets of blue paper in each package = Seven

The number of sheets of white paper in each package = Eight.

7 0

3 years ago

Pls help I'll follow

liraira [26]

The first thing you need to know is f is the greatest common factor
here they are asking you for 3x meaning you power ( ^) can't go greater than 3
here are two forms
5x^2+8x^3+1
another one
2z^3-y^2+6
hope this helps

5 0

3 years ago

If y varies directly as x, and y is 400 when x is randy is r when x is 4, what is the numeric constant of variation in this rela

juin [17]

The numeric constant of variation is 100

Step-by-step explanation:

Direct proportion means that increase in one variable cause increase in other variable

Here,

It is given that

y varies directly as x

y∝x

when the proportionality symbol is removed a proportionality constant is introduced

$y = kx$

Given that

y = 100 when x = 4

Putting the values

$400 = k * 4\\k = \frac{400}{4}\\k = 100$

The numeric constant of variation is 100

Keywords: Proportion variation

Learn more about direct proportion at:

#LearnwithBrainly

5 0

3 years ago