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3 years ago

Square root of 3x when x=1/9

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

6 0

Answer: $\sqrt[]{\frac{1}{3} }$

Step-by-step explanation:

$x=\frac{1}{9}$

$\sqrt[]{3x}$

$\sqrt[]{3(\frac{1}{9}) }$

$\sqrt[]{\frac{1}{3} }$

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Two fishing boats leave a marina at the same time. One boat travels north at a speed of 12 miles per hour. The other boat heads

Nikolay [14]

Answer:

5.25 miles

Step-by-step explanation:

15 min=1/4 of hour

12/4=3

9/4=2.25

3+2.25=5.25

5 0

3 years ago

Read 2 more answers

Implicit differentiation Please help

Anvisha [2.4K]

Answer:

$y''(-1) =8$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Factoring

Calculus

Implicit Differentiation

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

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

Quotient Rule: $\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

Step 1: Define

-xy - 2y = -4

Rate of change of the tangent line at point (-1, 4)

Step 2: Differentiate Pt. 1

Find 1st Derivative

Implicit Differentiation [Product Rule/Basic Power Rule]: $-y - xy' - 2y' = 0$
[Algebra] Isolate y' terms: $-xy' - 2y' = y$
[Algebra] Factor y': $y'(-x - 2) = y$
[Algebra] Isolate y': $y' = \frac{y}{-x-2}$
[Algebra] Rewrite: $y' = \frac{-y}{x+2}$

Step 3: Find y

Define equation: $-xy - 2y = -4$
Factor y: $y(-x - 2) = -4$
Isolate y: $y = \frac{-4}{-x-2}$
Simplify: $y = \frac{4}{x+2}$

Step 4: Rewrite 1st Derivative

[Algebra] Substitute in y: $y' = \frac{-\frac{4}{x+2} }{x+2}$
[Algebra] Simplify: $y' = \frac{-4}{(x+2)^2}$

Step 5: Differentiate Pt. 2

Find 2nd Derivative

Differentiate [Quotient Rule/Basic Power Rule]: $y'' = \frac{0(x+2)^2 - 8 \cdot 2(x + 2) \cdot 1}{[(x + 2)^2]^2}$
[Derivative] Simplify: $y'' = \frac{8}{(x+2)^3}$

Step 6: Find Slope at Given Point

[Algebra] Substitute in x: $y''(-1) = \frac{8}{(-1+2)^3}$
[Algebra] Evaluate: $y''(-1) =8$

6 0

3 years ago

Read 2 more answers

PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!! Only need 4b and 4c

JulsSmile [24]

ANSWER:

b) No

c) Yes

EXPLANATION:

$3 (x+1)=3x+3$

3 (-8 + 1) = 3 x -8 + 3

(3 x -8) (3 x +1) = 3 x -8 + 3 (just put left and right sides into calcu separately)

-72 = -21

Both sides are not equal and therefore it isn't a solution.

3 (0.5 + 1) = 3 x 0.5 + 3

(3 x 0.5) (3 x +1) = 3 x 0.5 + 3

4.5 = 4.5

Both sides are equal and thereofre it IS a solution.

6 0

3 years ago

Reduced form of 6/8.

drek231 [11]

Answer:

3/4

Step-by-step explanation:

7 0

2 years ago

The segment show below form a triangle True or false?

seropon [69]

Answer:

true

Step-by-step explanation:

because it would be

5 0

3 years ago