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wariber [46]
2 years ago
5

Please help me I will give brainliest

Mathematics
1 answer:
mote1985 [20]2 years ago
3 0

Answer:

wheres the pic

Step-by-step explanation:

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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
Image on straight line graphs- please help ASAP
MissTica
Plug in (7, 12) for x and y in the equation.

12 = 2(7) + 1
12 = 14 + 1
12 ≠ 15 

Therefore, (7, 12) is not on the straight line equation. 
6 0
3 years ago
Please help meeeeee for points
padilas [110]

Answer:

Karma ig

Step-by-step explanation:

Idek ;-;

7 0
3 years ago
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What are the roots of the equation? x^2−x−42=0 Enter your answers in the boxes. x = and x =
Natasha_Volkova [10]
Your roots are x=7 and x=-6
8 0
3 years ago
Read 2 more answers
PLEASE HELLPPP**attachments provided
Luden [163]

Answer:

  A.  2x(x+1)(x-6); 0, -1, 6

Step-by-step explanation:

The zeros are the values of x that make the factors zero. That is, for binomial factors, they are the opposite of the constant in the binomial factor. For example, the factor (x+1) will be zero when x = -1, so that -1+1 = 0.

This observation eliminates choices B and C.

__

The product of binomial factors looks like this:

  (x +a)(x +b) = x² +(a+b)x +ab . . . . . x-coefficient is (a+b)

Once 2x is factored from the given polynomial, the resulting quadratic is ...

  x^2 -5x -6

This means the sum of the constants in the binomial terms must be -5. That will only be the case for choice A.

3 0
2 years ago
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