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2 years ago

HELPP URGENT!

Mathematics

2 answers:

ollegr [7]2 years ago

4 0

Answer:

Step-by-step explanation:

It’s B

bixtya [17]2 years ago

3 0

Answer:

Step-by-step explanation:

I had this question on a test and got it right

You might be interested in

The curve

kherson [118]

Answer:

Point N(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Anything to the 0th power is 1
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$
Exponential Rule [Root Rewrite]: $\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}$

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \sqrt{x - 3}$

$\displaystyle y' = \frac{1}{2}$

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Root Rewrite]: $\displaystyle y = (x - 3)^{\frac{1}{2}}$
Chain Rule: $\displaystyle y' = \frac{d}{dx}[(x - 3)^{\frac{1}{2}}] \cdot \frac{d}{dx}[x - 3]$
Basic Power Rule: $\displaystyle y' = \frac{1}{2}(x - 3)^{\frac{1}{2} - 1} \cdot (1 \cdot x^{1 - 1} - 0)$
Simplify: $\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}} \cdot 1$
Multiply: $\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}}$
[Derivative] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{1}{2(x - 3)^{\frac{1}{2}}}$
[Derivative] Rewrite [Exponential Rule - Root Rewrite]: $\displaystyle y' = \frac{1}{2\sqrt{x - 3}}$

Step 3: Solve

Find coordinates

x-coordinate

Substitute in y' [Derivative]: $\displaystyle \frac{1}{2} = \frac{1}{2\sqrt{x - 3}}$
[Multiplication Property of Equality] Multiply 2 on both sides: $\displaystyle 1 = \frac{1}{\sqrt{x - 3}}$
[Multiplication Property of Equality] Multiply √(x - 3) on both sides: $\displaystyle \sqrt{x - 3} = 1$
[Equality Property] Square both sides: $\displaystyle x - 3 = 1$
[Addition Property of Equality] Add 3 on both sides: $\displaystyle x = 4$

y-coordinate

Substitute in x [Function]: $\displaystyle y = \sqrt{4 - 3}$
[√Radical] Subtract: $\displaystyle y = \sqrt{1}$
[√Radical] Evaluate: $\displaystyle y = 1$

∴ Coordinates of Point N is (4, 1).

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

Unit: Derivatives

Book: College Calculus 10e

4 0

2 years ago

Hey! please help i’ll give brainliest!

Eduardwww [97]

Answer:

Step-by-step explanation:

Hope this helps!!!

5 0

2 years ago

Find the measures of the numbered angles in isosceles trapezoid for question 6!!!!

snow_lady [41]

Because it's iscosceles, angle 1 is similar size to the angle on the right leg.
∠1 = 67°

The sum of interior angles in trapezoid equals to 360°.
And because it's iscosceles, the upper angles are in the same size. We can write it as,
the sum of angles = 360°
67° + 67° + ∠2 + ∠2 = 360°
134° + 2 × ∠2 = 360°
2 × ∠2 = 360° - 134°
2 × ∠2 = 226°
∠2 = 113°

Final answer
∠1 = 67°
∠2 = 113°

6 0

2 years ago

Write 180 grams as a percentage of 1 kilogram

stepladder [879]

Answer:

18%

Step-by-step explanation:

There are 1000 grams to a kilogram, so to find the percentage of a kilogram, simply divide by 1000.

180 ÷ 1000 = 0.18 kilograms (or 18%)

8 0

2 years ago

Read 2 more answers

Sara wants to buy a necklace. The necklace has a list price of $41, and the sales tax is 6%. What will be the cost of the neckla

Harman [31]

$43.46

41 x .06 = 2.46

41 + 2.46 = 43.46

8 0

2 years ago