Mathematics, 15.06.2021 17:20 1074885

Please help!! i have no clue what to do and this packet is due tonight.

Answers: 3

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Answer from: diiamondgraham1

[C] 27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Expand by FOILFactoring

Calculus

Limits

Derivatives

Definition of a Derivative: $\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \lim_{h \to 0} \frac{f(3 + h) - f(3)}{h}$

$\displaystyle f(x) = x^3$

Step 2: Solve

Substitute in function value: $\displaystyle \lim_{h \to 0} \frac{(3 + h)^3 - 3^3}{h}$ Evaluate exponents: $\displaystyle \lim_{h \to 0} \frac{(3 + h)^3 - 27}{h}$ Expand: $\displaystyle \lim_{h \to 0} \frac{h^3 + 9h^2 + 27h + 27 - 27}{h}$ [Subtraction] Combine like terms: $\displaystyle \lim_{h \to 0} \frac{h^3 + 9h^2 + 27h}{h}$ Factor: $\displaystyle \lim_{h \to 0} \frac{h(h^2 + 9h + 27)}{h}$ Simplify: $\displaystyle \lim_{h \to 0} h^2 + 9h + 27$ Evaluate limit: $\displaystyle 0^2 + 9(0) + 27$ Evaluate exponents: $\displaystyle 9(0) + 27$ Multiply: $\displaystyle 27$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer from: Quest

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

Answer from: Quest

I’m a smart person so that’s why i think it was 6

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Please help!! i have no clue what to do and this packet is due tonight.
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