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2 years ago

Help ASAP pls , show steps too if possible

Mathematics

1 answer:

trasher [3.6K]2 years ago

5 0

Answer:

Step-by-step explanation:

60942.44577

anwser is ii

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Find the equation of the line tangent to y = -3x2 + x - 5 at x = -1

SVEN [57.7K]

$\boxed{y+9=7(x+1)}$

<h2>Explanation:</h2>

The Point-Slope form of the equation of a line is given by:

$y-y_{0}=m(x-x_{0}) \\ \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{0},y_{0}):A \ point$

To find the equation of the line tangent to $y=-3x^2+x-5 \ at \ x=-1$ , we need to take the derivative:

$\frac{dy}{dx}=-6x+ 1$

The slope of the line tangent to $y=-3x^2+x-5$ at $x=-1$ can be found evaluationg $x=1$ in the derivative:

$\frac{dy}{dx}\Bigr\rvert_{x=-1}=-6x+ 1 \\ \\ \\ \frac{dy}{dx}\Bigr\rvert_{x=-1}=-6(-1)+ 1 \\ \\ \\ m=\frac{dy}{dx}\Bigr\rvert_{x=-1}=7$

Finding the point:

$x_{0}=-1 \\ \\ Then: \\ \\ y_{0}=-3(-1)^2-1-5=-9 \\ \\ (x_{0},y_{0})=(-1,-9)$

Finally, our line is:

$y-(-9)=7(x-(-1)) \\ \\ \boxed{y+9=7(x+1)}$

The representation of this problem is shown below.

<h2>Learn more:</h2>

Derivative of functions: brainly.com/question/2142425

#LearnWithBrainly

6 0

3 years ago

F(x)=3x(x^2+4x-5) evaluate f(-2)

nignag [31]

Answer:

f(-2) = 54

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x(x² + 4x - 5)

f(-2) is x = -2

<u>Step 2: Evaluate</u>

Substitute in <em>x </em>[Function]: f(-2) = 3(-2)[(-2)² + 4(-2) - 5]
[Brackets] Evaluate exponents: f(-2) = 3(-2)[4 + 4(-2) - 5]
[Brackets] Multiply: f(-2) = 3(-2)[4 - 8 - 5]
[Brackets] Subtract: f(-2) = 3(-2)[-4 - 5]
[Brackets] Subtract: f(-2) = 3(-2)(-9)
Multiply: f(-2) = -6(-9)
Multiply: f(-2) = 54

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Step-by-step explanation:

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Write an equation for the line parallel to y = –7x + 15 that contains P(9, –6).

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