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3 years ago

15

What is the range of the function graphed below?

1 answer:

lorasvet [3.4K]3 years ago

8 0

Answer:

$( - \infty ,- 3]$

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Y=x(4)/2+3x(3)-2x-12

Vlada [557]

Answer:

$\displaystyle y' = -2x^3 + 9x^2 - 2$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Terms/Coefficients

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle y = -\frac{x^4}{2} + 3x^3 - 2x - 12$ <u />

<u />

<u>Step 2: Differentiate</u>

Basic Power Rule: $\displaystyle y' = -\frac{4x^{4 - 1}}{2} + 3 \cdot 3x^{3 - 1} - 1 \cdot 2x^{1 - 1}$
Simplify Exponents: $\displaystyle y' = -\frac{4x^3}{2} + 3 \cdot 3x^2 - 1 \cdot 2$
Divide: $\displaystyle y' = -2x^3 + 3 \cdot 3x^2 - 1 \cdot 2$
Multiply: $\displaystyle y' = -2x^3 + 9x^2 - 2$

7 0

3 years ago

How many gallons does 11 liters equal?Use this conversion factor 1gal=3.79 liters.Round to the nearest tenth.

Dennis_Churaev [7]

Answer:

Around 2.9 gallons is equivalent to 11 liters.

Step-by-step explanation:

<u>Key skills needed: Conversion, Division, Equations</u>

1) 1 gallon = 3.79 liters

2) We want to find how many gallons 1 liter is equal to ---> Use the original equation and divide by 3.79 on both sides.

You will get --> 1 liter = 1/3.79 gallons

3) To find how many gallons 11 liters is we multiply both sides by 11.

We will get 11 liters = 11/3.79 gallons ---> 11/3.79 is 2.9 when rounded to the nearest tenth.

Therefore 2.9 gallons is the answer.

<em>Hope you understood and have a nice day!! :D</em>

5 0

3 years ago

Factor to write an equivalent expression: 36a-16

lilavasa [31]

Answer:

4(9a−4)

Step-by-step explanation:

8 0

3 years ago

Thomas has a garden with a length of 2.45 meters and a width of 5/8 meters. Use benchmarks to estimate the area and perimeter of

Damm [24]

Guessing it is a rectangle the perimeter is 2*0.625+2.45*2= 6.15

and the area is 0.625*2.45= <span>1.53125..... i think</span>

8 0

4 years ago

Please please please please PLEASE answer

Phantasy [73]

I’m pretty sure it’s the 2nd one

8 0

3 years ago

Read 2 more answers