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yarga [219]
3 years ago
15

3 cans that store 9 tennis balls... Find the constant of proportionality & write a equation to represent the relationship PL

EASE help

Mathematics
1 answer:
Lilit [14]3 years ago
7 0
<span>3 cans store 9 tennis balls.
Find the Constant of proportionality and write and equation with regards to this given situation:
=> number of tennis balls = 9
=> number of cans = 3

</span> <span>So the constant of proportionality is  in the working column. Pls see attached.<span>

</span></span>



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Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)
fredd [130]

Answer:

f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3

First tangent line:

y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5

Second tangent line:

y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7


Notice: slope of -1 means that both f'(x_1), \ f'(x_2) are equal to -1, so f'(x_1)=-1 \ and \ f'(x_2)=-1


6 0
2 years ago
Read 2 more answers
399,713 rounded to nearest thousand
mina [271]
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3 0
3 years ago
You mid morning break begins at 9:45 am and lasts for 10 minutes. you work for 2 hours and 10 minutes until your lunch break. wh
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8 0
3 years ago
Heyy everyone a little halp here i kinda need it fast sorry
Studentka2010 [4]

Answer:

A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)

B) Lakshmi is the tallest, 1.56m tall

Step-by-step explanation:

Rahul- 1.54m

Akash- 1500mm

Meera- 152cm

Lakshmi- 1560mm

Let's start by converting all the measurements to meters.

Rahul is already in meters, so he can just stay the same.

1500mm = 1.5m

152cm = 1.52m

1560mm = 1.56m

So our new measurements are:

Rahul- 1.54m

Akash- 1.5m

Meera= 1.52m

Lakshmi= 1.56m

We can now make our conclusions.

A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)

B) Lakshmi is the tallest, 1.56m tall

3 0
3 years ago
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The line plot shows how long you read during each reading session last week. What is the total time you read during these sessio
expeople1 [14]

Answer: a) 15 1/2 hours

Step-by-step explanation :

1/2 ×2=1. 1×4=4 1 1/2 ×1= 1 1/2 2×2=4. 2 1/2 ×2= 5

Add all answers and you have 15 1/2 hours.

6 0
3 years ago
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