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3 years ago

Is (4, 7) a solution to the system of equations? Explain your answer.

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

4 0

Answer:

Step-by-step explanation:

Neither 4 or 7 is a solution to both equations

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Can someone please help me i'll mark brainliest and give a 5 star rating :)))

Alexxx [7]

Answer:

see below

Step-by-step explanation:

That is a LOT of questions

complement angles add to 90 suppleent angles add to 180

9) complement = 50 supplelement = 140

13) compl = 40 suppl = 130

14) comp = 45 supple = 135

I think you can do the rest, right?

4 0

2 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

5/8 of 10 liters please :)

Finger [1]

Answer:

6.25liters

Step-by-step explanation:

5/8 × 10

Lcm is 8

5×10/8

50/8

6.25

So 5/8 of 10liters is

6.25liters

4 0

3 years ago

Read 2 more answers

Hey can u plz do this I will give Brainiest I got broken up with yesterday's d I'm sad so I can't rly think rn

Lisa [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

What is the slope to the equation (2,1) (-1,-2)

kipiarov [429]

(2y,1x) do u get it or am i not helping sorry if this doesnt help

8 0

4 years ago

Read 2 more answers