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3 years ago

13

Logbase(a)b+clogbase(a)d-rlogbase(a)s

1 answer:

NARA [144]3 years ago

8 0

logₐ( b ) + c logₐ( d ) - r logₐ( s )

= logₐ ( b · d^c / s )

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F(x)=5^x+1 what’s the rate of change between x=0 and x=4

nalin [4]

Answer:

156

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>

Functions
Function Notation
Average Rate of Change: $\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}$

Step-by-step explanation:

<u>Step 1; Define</u>

<em>Identify</em>

f(x) = 5ˣ + 1

Interval <em>x</em> [0, 4] →<em>b</em> = 4, <em>a</em> = 0

<u>Step 2: Find Rate of Change</u>

Substitute in variables [Average Rate of Change]: $\displaystyle \displaystyle \frac{f(4) - f(0)}{4 - 0}$
[Average Rate of Change] Substitute in <em>x</em> [Function f(x)]: $\displaystyle \displaystyle \frac{(5^4 + 1) - (5^0 + 1)}{4 - 0}$
(Parenthesis) Evaluate exponents: $\displaystyle \displaystyle \frac{(625 + 1) - (1 + 1)}{4 - 0}$
(Parenthesis) Add: $\displaystyle \displaystyle \frac{626 - 2}{4 - 0}$
[Fraction] Subtract: $\displaystyle \displaystyle \frac{624}{4}$
Divide: $\displaystyle \displaystyle 156$

6 0

2 years ago

What do rhombuses always have

melamori03 [73]

Answer:

A, B, and D

Step-by-step explanation:

5 0

2 years ago

A certain forest covers an area of 2100 km^2. Suppose that each year this area decreases by 5.25%. What will the area be after 6

Neko [114]

Answer:

The area after 6 years is $1519.49km^2$

<em></em>

Step-by-step explanation:

Given

$a = 2100$ --- Initial Value

$r = 5.25\%$ --- Rate

Required

Determine the area after 6 years

Because the area reduces,, the following formula will be used to solve the question.

$y = a*(1 - r)^t$

Here

$t = 6$

So, we have:

$y = 2100*(1 - 5.25\%)^6$

Convert percentage to decimal

$y = 2100*(1 - 0.0525)^6$

$y = 2100*(0.9475)^6$

$y = 1519.47866516$

$y = 1519.49$ -- approximated

<em>The area after 6 years is </em> $1519.49km^2$ <em></em>

4 0

2 years ago

What does, x, in the equation 2x-8=4 equal

vova2212 [387]

The answer is 6 since 2*6 is 12 and 12-8 is 4

6 0

3 years ago

Read 2 more answers

Is the inequality true or false?<br><br> 8 + 5(2 x 4) ≥ 9 x 5

-BARSIC- [3]

9514 1404 393

Answer:

true

Step-by-step explanation:

Using the order of operations to evaluate the expressions, we have ...

8 + 5(8) ≥ 9(5)

8 +40 ≥ 45

48 ≥ 45 . . . . . true

5 0

2 years ago

Read 2 more answers