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3 years ago

13

Two side lengths of a regular polygon are represented by the expressions 7x+8 and 13x-4

1 answer:

shtirl [24]3 years ago

5 0

Answer:hi

Step-by-step explanation:

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Please answer and explain the link below

Leviafan [203]

Answer:

See explanation.

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>

Functions
Function Notation

<u>Calculus</u>

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle f(x) = \left \{ {{\sqrt{x + 1}, \ x < 3} \atop {5 - x, \ x \geq 3}} \right.$

<u>Step 2: Find Right Limit</u>

Substitute in variables [Right-Side Limit]: $\displaystyle \lim_{x \to 3^+} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 3^+} 5 - x = 5 - 3$
Subtract: $\displaystyle \lim_{x \to 3^+} 5 - x = 2$

∴ the right-side limit equals 2.

<u>Step 3: Find Left Limit</u>

Substitute in variables [Left-Side Limit]: $\displaystyle \lim_{x \to 3^-} \sqrt{x + 1}$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 3^-} \sqrt{x + 1} = \sqrt{3 + 1}$
[√Radical] Add: $\displaystyle \lim_{x \to 3^-} \sqrt{x + 1} = \sqrt{4}$
[√Radical] Evaluate: $\displaystyle \lim_{x \to 3^-} \sqrt{x + 1} = 2$

∴ the left-side limit equals 2.

<u>Step 4: Find Limit</u>

<em>The right and left-side limits are equal.</em>

∴ $\displaystyle \lim_{x \to 3} f(x) = 2$

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

Unit: Limits

Book: College Calculus 10e

4 0

3 years ago

Rebecca sells greetings cards at £1.47 each. She donates 3 7 of this money to a charity. How much does the charity receive from

ANTONII [103]

The charity receive £54.39 form the sale of each card.

4 0

3 years ago

An indoor running track is 200 meters in length. During a 3,000-meter race, runners must complete 15 laps of the track. An elect

BartSMP [9]

Answer:

D

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

If we approximate the function y=sin(x) with a0+a1 x a2 x^2 +a3 x^3, what is a0,a2,a2,a3?

Rashid [163]

The coefficients $a_0,a_1,a_2,a_3$ could be chosen to be the coefficients in the Maclaurin series of $\sin(x)$ .

We have

$y = \sin(x) \approx a_0 + a_1 x + a_2 x^2 + a_3 x^3 \\\\ \implies y(0) = 0 = a_0$

$y' = \cos(x) \approx a_1 + 2a_2 x + 3a_3 x^2 \\\\ \implies y'(0) = 1 = a_1$

$y'' = -\sin(x) \approx 2a_2 + 6a_3 x \\\\ \implies y''(0) = 0 = 2a_2$

$y''' = -\cos(x) \approx 6a_3 \\\\ \implies y'''(0) = -1 = 6a_3$

It follows that $a_0=0$ , $a_1=1$ , $a_2=0$ , and $a_3 = -\frac16$ .

7 0

2 years ago

Alex Ar [27]

Answer:

jh

Step-by-step explanation:

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3 years ago