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IrinaVladis [17]

2 years ago

6

Select the correct answer. Consider the function represented by this graph. Which word or phrase describes the value of the func

tion over the interval ? A. decreasing B. increasing to decreasing C. constant D. increasing

1 answer:

goldenfox [79]2 years ago

6 0

Answer:

six and 8

Step-by-step explanation:

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Vesnalui [34]

Answer:

length = 2w - 3

l = length

w = width

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2(2w - 3) + 2(w) = 60

6w -6 =60

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Step-by-step explanation:

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3 years ago

The ratio of surface areas of two similar polyhedra is equal to the cube of the

Colt1911 [192]

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The answer is false already got this question wrong though D;

Step-by-step explanation:

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3 years ago

Aiden has his two friends order a pizza with 12 slices together they ate 2/3 of the pizza if they evenly divided what was left h

amm1812

About 1 and a half each

Mark me as brainliest.

8 0

3 years ago

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Implicit differentiation Please help

Anvisha [2.4K]

Answer:

$y''(-1) =8$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

<u>Algebra I</u>

Factoring

<u>Calculus</u>

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:

<u>Step 1: Define</u>

-xy - 2y = -4

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

<u>Step 2: Differentiate Pt. 1</u>

<em>Find 1st Derivative</em>

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

<u>Step 3: Find </u><em><u>y</u></em>

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

<u>Step 4: Rewrite 1st Derivative</u>

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

<u>Step 5: Differentiate Pt. 2</u>

<em>Find 2nd Derivative</em>

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: $y'' = \frac{8}{(x+2)^3}$

<u>Step 6: Find Slope at Given Point</u>

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

6 0

3 years ago

Read 2 more answers

?<br><br>2 to the 3rd power - 5 x (6 + 4) ÷ 2<br><br>show your work

Delvig [45]

Answer:

-17

Step-by-step explanation:

$2^3$ - 5 * (6 + 4) ÷ 2

Following PEMDAS, we must focus on the parenthesis first.

$2^3$ - 5 * (6 + 4) ÷ 2

$2^3$ - 5 * (10) ÷ 2

Now we will focus on the exponent:

$2^3$ - 5 * 10 ÷ 2

8 - 5 * 10 ÷ 2

Now Multiplication/Division.

This is where you must follow the order in the equation where you see the multiplication sign first, so you multiply first.

8 - 5 * 10 ÷ 2

8 - 50 ÷ 2

Next, Divide:

8 - 50 ÷ 2

8 - 25

Subtract:

8 - 25

-17

$2^3$ - 5 * (6 + 4) ÷ 2 = -17.

4 0

3 years ago

Read 2 more answers