All categories

3 years ago

Solve the system using elimination tech

Mathematics

1 answer:

choli [55]3 years ago

7 0

Answer:

Step-by-step explanation:

8x - 2y = 6

-8x + 4y = 12

2y = 18

y = 9

8x - 18 = 6

8x = 24

x = 3

(9, 3)

You might be interested in

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

Find the value of each variable. Round to the nearest tenth if

solniwko [45]

Answer:

the snnswer is 47 not no other answer

Step-by-step explanation:

8 0

3 years ago

Which statement about the quadratic equation below is true?

dmitriy555 [2]

H the equation has x = 4 and x = -4 as it’s only solutions is true

3 0

3 years ago

Read 2 more answers

After 3 days a sample of radon-222 has decayed to 58% of its original amount.(

iren2701 [21]

Half-life = [elapsed time * log (2)] / [log (begng amt / endg amt)]
half-life = (3 days * 0.30102999566) / log (1 / .58)
half-life = 0.903089987 / log ( 1.724137931)
half-life = 0.903089987 / 0.23657200643
half-life = 3.8174 days

Source:
http://www.1728.org/halflife.htm

3 0

3 years ago

Evaluate -(2^6)(2^3)

valina [46]

Answer:

- (2^9)

Step-by-step explanation:

-(2^6)(2^3)

We know a^b * a^c = a^( b+c)

- ( 2 ^ (6+3))

- (2^9)

7 0

4 years ago