Describe how f(x)=2 cos (πx) and g(x)=2 cos (2πx) are related.

Answers

Answer 1

Answer: The derivative of the natural log is 1/x, therefore the derivative is 1/cos(x). However, since the value of cos(x) is submitted within the natural log we must use the chain rule. Then, we multiply 1/cos(x) by the derivative of cos(x). We get the answer: -sin(x)/cos(x) which can be simplified into -tan(x) i

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Six times a number is greater than 3 less than 4 times the same number.

Answers

Answer:

0 < -3/2x

Step-by-step explanation:

6x > 4x -3

subtract 4x

2x < -3

divide by 2x

What degree measure is equivalent to -4pie over 9

Answers

anyway
2pi radians=360
so
-4pi/9radians=xdegrees

2pi/360=-4pi/9r/x
times both sides by 360x
2xpi=-1440pi/9
2xpi=-160pi
divide both sides by 2pi
x=-80
80 degres

Find two rational numbers between -1 and 0

Answers

Answer:

-1/2 and -3/4

Step-by-step explanation:

rational numbers are numbers that can be expressed in a fraction

The manager of a popular restaurant wants to know what types of vegetarian dishes people prefer to eat. Which sample would provide the most accurate data?10 friends at a cookout
the first 30 people leaving the local hamburger stand
a random group of 40 people on the street
a random group of 5 people at a grocery store

Answers

Answer:

c, or 40

Step-by-step explanation:

edge test

A zoo has 15 emperor penguins. The emperor penguins make up 30%, percent of all the penguins at the zoo. How many penguins live at the zoo?

Answers

Answer:50 penguins it’s right

A line passes through point (-2, 5) and has a slope of 2/3. Points A(x, 3) and B(-2, y) lie on the line. the value of x is ___, the value of y is ___.

Answers

Use the equation y = mx +c
y = 2/3x +c Substitute the slope (m) in
5 = 2/3(-2) +c Substitute the point (-2,5)
5 = -4/3 +c Make C the subject
c = 19/3

y = 2/3x + 19/3 This is the equation of the line.

Next you start subbing the points A and B in separately, using the same equation.

Subbing A(x, 3)
3 = 2/3x + 19/3 Make x the subject to find it.
-10/3 = 2/3x
-5 = x

The point A is (-5,3)

Subbing B(-2, y)
y = 2/3(-2) + 19/3 y is already the subject and you just solve it
= -4/3 + 19/3
y = 5

The point B is (-2, 5)

I hope this helped you, I have also attached a photo of the written work! I'm also sorry if the answer isn't correct... >-<

Answer:

(x) = -5 (y) = 5

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