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Anon25 [30]
3 years ago
13

What is the ratio 14/15 expressed in simplest form? PLZZ HELP!

Mathematics
1 answer:
agasfer [191]3 years ago
3 0

14  and  15  have no common factor except ' 1 ' ,
so the fraction  14/15  can't be simplified.

It's already in the simplest available form ("lowest terms").

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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
3 years ago
Read 2 more answers
What is the atomic number of the element represented by the diagrams
ratelena [41]

Answer:where is the diagram so i could help you

Step-by-step explanation:

4 0
3 years ago
If the area of the rectangle is 90 km?, then what is the value of the missing side?
r-ruslan [8.4K]
I believe it would be B.
Logically, it’s the only one that makes sense,
As 9x10= 90
None of the others have any way to divide or multiply up to the area,
So yes, B.
5 0
3 years ago
Read 2 more answers
Yoda soda is the intergalacatic party drink .You are throwing a party and you need 5 liters of Yoda soda for 12 guest. If you ha
aksik [14]

Answer:

15 liters

Step-by-step explanation:

Given:

We need 5 liters of Yoda soda for 12 guest.

To find:

If we have 36 guest how many liters of Yoda soda we need.

Solution:

<u>By unitary method:</u>

For 12 guests, we need liters of Yoda soda = 5

For 1 guest, we need liters of Yoda soda = \frac{5}{12}

For 36 guests, we need liters of Yoda soda = \frac{5}{12}\times36=\frac{180}{12} =15\ liters

Therefore, we need 15 liters of Yoda soda for 36 guests.

7 0
3 years ago
At the movie theater, childs admission is $6.10. Adult admission is $9.40. On Tuesday four times as many adult tickets as child
Harlamova29_29 [7]

Answer:

The number of children's tickets sold was 27

Step-by-step explanation:

Let

x ----> the number of children's tickets sold

y ----> the number of adult's tickets sold

we know that

6.10x+9.40y=1,179.90 ----> equation A

y=4x ----> equation B

Solve the system by substitution

Substitute equation B in equation A

6.10x+9.40(4x)=1,179.90

solve for x

6.10x+37.6x=1,179.90

43.7x=1,179.90

x=27

therefore

The number of children's tickets sold was 27

8 0
3 years ago
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