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stepan [7]
3 years ago
14

Every week at the Cougar Scouts meeting, Diane is in charge of the craft activity. This week, she decides to make pinecone bird

feeders. At the meeting, Diane divides a bag of birdseed evenly among 16 Cougar Scouts, and each scout gets 1 /4 of a cup of birdseed. Use an equation to find the amount of birdseed in the bag. To write a fraction, use a slash (/) to separate the numerator and denominator.
Mathematics
1 answer:
liraira [26]3 years ago
3 0

Answer:

I AM NOT ABLE TO GIVE THE ANSWER OF THIS QUESTION

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At which points are the tangents drawn to the ellipse x 2 + y 2 = [ a ] x + [ a ] y parallel to
In-s [12.5K]

The given equation of the ellipse is x^2 + y^2 = 2 x + 2 y

At tangent line, the point is horizontal with the x-axis therefore slope = dy / dx = 0

<span>So we have to take the 1st derivative of the equation then equate dy / dx to zero.</span>

x^2 + y^2 = 2 x + 2 y

x^2 – 2 x = 2 y – y^2

(2x – 2) dx = (2 – 2y) dy

(2x – 2) / (2 – 2y) = 0

2x – 2 = 0

x = 1

 

To find for y, we go back to the original equation then substitute the value of x.

x^2 + y^2 = 2 x + 2 y

1^2 + y^2 = 2 * 1 + 2 y

y^2 – 2y + 1 – 2 = 0

y^2 – 2y – 1 = 0

Finding the roots using the quadratic formula:

y = [-(- 2) ± sqrt ( (-2)^2 – 4*1*-1)] / 2*1

y = 1 ± 2.828

y = -1.828 , 3.828

 

<span>Therefore the tangents are parallel to the x-axis at points (1, -1.828) and (1, 3.828).</span>

3 0
3 years ago
Alexander purchased a computer on sale. The original price was $1,200. The sale price was 5/6 of the original price. How much di
Alexxx [7]

Answer:

1000

Step-by-step explanation:

1200*5/6=1000

3 0
2 years ago
F<br> (<br> x<br> )<br> =<br> 3<br> x<br> −<br> 12<br> f(x)= <br> 3x−12<br> ​
Nina [5.8K]

The inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.

<h3>What is inverse of a function?</h3>

An inverse of a function is a function that serves to replace another function.

That is, if f(x) produces y, then putting y into the inverse of f produces the 0ut-put x .

Thus, an inverse function or an anti function is defined as a function, which can reverse into another function.

The inverse of the given function; f(x)= 3x − 12 is calculated as follows;

y = 3x - 12

replace y with x and x with y as shown below;

x = 3y - 12

now, solve for y

x + 12 = 3y

divide both sides of the equation by 3

x/3 + 12/3 = 3y/3

x/3 + 4 = y

f⁻¹(x) = x/3 + 4

Thus, the inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.

Learn  more about inverse of a function here: brainly.com/question/3831584

#SPJ1

The complete question is written below:

find the inverse of the function, f(x) = 3x - 12

8 0
2 years ago
The coordinates of three vertices of a rectangle are (4, –5), (4, –3), and (5, –3). What point is the fourth vertex?
Liono4ka [1.6K]

Answer:

the other one is (5, -5)

5 0
3 years ago
thomas argues that rational 27 divided by rational 3 is rational. mateo argues that the quotient between rational 27 and rationa
vitfil [10]

Answer:

Rational

Step-by-step explanation:

A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). However, one third can be express as 1 divided by 3, and since 1 and 3 are both integers, one third is a rational number.

8 0
3 years ago
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