7/9 - 5/6 - (-1/3) =

Simplify (4x+2)3 please for my

Mademuasel [1]

Answer:

(4x + 2) x 3

4x + 2 x 3

4x + 6

4x/4 = X + 6/4 = 1.5

X = 1.5 I think

P.S. hope this helped if it is correct may I get Brainliest

3 0

3 years ago

For which graph is the parent function y=x^2

mylen [45]

y = x² is the parent function of a parabola opens up and has a vertex at (negative 1, negative 2)

<h3>What is the standard equation of a parabola ?</h3>

The standard equation of a parabola is given by

y =a(x-h)² +k

Vertex at h , k

It is given that It has to be chosen from the options that whose parent function is

y = x²

As the plot of the first option is done , which is shown in the figure ,

The parabola is given by

y = (x +1)² +2

and the parent function is y = x²

Therefore the Option 1 is the answer.

To know more about standard equation of a parabola

brainly.com/question/27915520

#SPJ1

3 0

2 years ago

Use the limit definition of the derivative to find the slope of the tangent line to the curve

ale4655 [162]

Answer:

$\displaystyle f'(4) = 63$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Expand by FOIL (First Outside Inside Last)
Factoring
Function Notation
Terms/Coefficients

Calculus

Derivatives

The definition of a derivative is the slope of the tangent line.

Limit 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

f(x) = 7x² + 7x + 3

Slope of tangent line at x = 4

Step 2: Differentiate

Substitute in function [Limit Definition of a Derivative]: $\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}$
[Limit - Fraction] Expand [FOIL]: $\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}$
[Limit - Fraction] Distribute: $\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}$
[Limit - Fraction] Combine like terms (x²): $\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}$
[Limit - Fraction] Combine like terms (x): $\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}$
[Limit - Fraction] Combine like terms: $\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}$
[Limit - Fraction] Factor: $\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}$
[Limit - Fraction] Simplify: $\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7$
[Limit] Evaluate: $\displaystyle f'(x) = 14x + 7$