All categories

2 years ago

Show how you arrived at your answers.

Mathematics

1 answer:

AnnZ [28]2 years ago

6 0

Step-by-step explanation:

if that's x^2+25

they can be factored to x+5

because the factor of x^2 is x cause x multiplied by x is x^2 and the factor of 25 is 5 cause 5×5 is 25

You might be interested in

In how many ways can the letters HAPPY be arranged in a row?

ludmilkaskok [199]

Answer:

Step-by-step explanation:

8 0

3 years ago

Find the derivative of

kirill [66]

Answer:

$\displaystyle y'(1, \frac{3}{2}) = -3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \frac{3}{2x^2}$

$\displaystyle \text{Point} \ (1, \frac{3}{2})$

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y = \frac{3}{2}x^{-2}$
Basic Power Rule: $\displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}$
Simplify: $\displaystyle y' = -3x^{-3}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{-3}{x^3}$

Step 3: Solve

Substitute in coordinate [Derivative]: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}$
Evaluate exponents: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}$
Divide: $\displaystyle y'(1, \frac{3}{2}) = -3$

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

Unit: Derivatives

Book: College Calculus 10e

6 0

2 years ago

Which of the following numbers is the greatest? 2.5 -2.5 0 -7

vodka [1.7K]

Answer:

2.5

Step-by-step explanation:

2.5 is the only positive number amongst the options, so it must be the greatest.

4 0

1 year ago

Read 2 more answers

A tower made of wooden blocks measures 114 feet high. Then a block is added that increases the height of the tower by 8 inches.

satela [25.4K]

Answer:

4. 23 in

Step-by-step explanation:

The tower is 1 1/4 feet high, then 8 inches are added. Well, we can't just add those two numbers. We have to change the units! Change everything to inches.

1 1/4 feet is equal to 12 inches + 3 inches = 15 inches, because a foot = 12 inches.

Add 8 inches to 15, and you get 23 inches.

The answer is 4. 23 in.

4 0

3 years ago

Jose reads his book at an average rate of 2.5 pages every four minutes. If Jose continues to read at exactly the same rate what

madreJ [45]

it would take him 32 minutes. You could use divisoin and multiplecation to figure it out

7 0

2 years ago