Given a rhombus, a square, and a rectangle, what must be true of all three quadrilaterals?

Zachary bought 8.25 pounds of red, white, and blue candies for his Fourth of July party. If 2.5 pounds of the candies are red, a

Dahasolnce [82]

Answer:

2 pounds

Step-by-step explanation:

pounds of white candy: 8.25 - (2.5 + 3.75) = 8.25 - 6.25 = 2

3 0

3 years ago

S is inversely proportional to t . When s = 0.5 , t = 7 Work out t when s = 5

shtirl [24]

Answer:

t = 0.7

Step-by-step explanation:

s = k/t where 'k' is the constant of variation

given: 0.5 = k/7 so k = 3.5

5 = 3.5/t

5t = 3.5

t = 0.7

4 0

3 years ago

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

1. Which expressions below are equivalent to 2(2x + 1)? Select all that apply.

GarryVolchara [31]

Answer:

4x+2

Step-by-step explanation:

2(2x+1)

4x +2

you distribute the the 2

3 0

3 years ago

Read 2 more answers

after 2/5 of the kittens were given away, there was k kittens and p puppies left in the pet store. write and algebraic expressio

Rufina [12.5K]

Answer:

Algebraic expression in terms of k

k= T- p

Step-by-step explanation:

As

no of kittens left = k

no of puppies left =p

If total left after giving away kittens =T

T = p + k

In terms of k the expression will be

k= T- p

Keywords: Algebra

Learn more about algebra at:

#learnwithBrainly

6 0

3 years ago