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2 years ago

Determine the amplitude or Period as requested. Period of y= -2 sin x

Mathematics

1 answer:

Alex Ar [27]2 years ago

5 0

amplitude: 2

period: 2pi

The equation for a sin function is:

$y = a \sin(b(x - c) ) + d$

a = the amplitude

b = the period

c = the horizontal shift

d = the vertical shift

the equation to find the period of a sin function is:

$period = \frac{2\pi}{b}$

note: the amplitude is always a positive number, if there is a negative sign in front of it then that means it reflects over the x-axis.

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What is the solution set of the following equation? 1/5x^2=x-4/5

9966 [12]

I think the answer might be x=4/8

3 0

3 years ago

Domain is the set of all input values, while range is the set of all: a. independent variables c. relations b. output values d.

Pavlova-9 [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

Decide whether the statement is true or false. If it is false, explain why. The union of the solution sets of 4xplus5equals13,

postnew [5]

The given statement is false because it isn't an empty set!

<u>Step-by-step explanation:</u>

We have following sets of inequalities:

$4x+5=13\\4x+5>13\\4x+5$

From $4x+5=13$ we get ,

$4x = 8 \\x=2$

Therefore solution set is x=2.

Now, for $4x+5>13$ we get ,

$4x+5>13 \\4x>8\\x>2$

Therefore solution set is x>2.

For $4x+5$ we get ,

$4x+5$

Therefore solution set is x<2.

Now, the union of x=2, x<2 & x>2 is -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!

4 0

3 years ago

Use the distributive property to remove the parentheses.

blagie [28]

Answer:

Step-by-step explanation:

10x^2(3x^2 - 5x) Remove the brackets (Distributive Property)

10*3*x^2 * x^2 - 5x * 10x^2

30 x^(2 + 2) - 5*10x^(2+1)

30x^4 - 50x^3

6 0

2 years ago

A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, t

Angelina_Jolie [31]

Answer:

<h2>The factory needs to sell 327 packbacks to make at least 9,800 per week.</h2>

Step-by-step explanation:

We know that each backpacks is sold for $40.00.

The goal is to make at least $9,800 per week. With this information we can define the inequality

$40x -10x \leq 9,800$

Where $x$ represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so

$30x\leq 9,800$

Solving for $x$

$x\leq \frac{9800}{30}\\ x \leq 326.67$

Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.

7 0

3 years ago