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3 years ago

6 subtracted from 3 times a number is 30 write the equation

Mathematics

2 answers:

Fittoniya [83]3 years ago

6 0

Answer:

Step-by-step explanation:

BigorU [14]3 years ago

4 0

Answer:

— 3n−30=3+n.

Step-by-step explanation:

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The base of the 37 foot ladder is 9 feet from the wall of a building. will the top of the ladder reach a window ledge 35 feet ab

AnnZ [28]

Answer:

The answer to your question is Yes.

Step-by-step explanation:

The math in this problem is that we need to use the Pythagorean theorem to solve it. Pythagorean theorem is part of trigonometry a branch of Maths.

Data

base = 9 ft

length = 37 ft

height = ?

Pythagorean theorem

c² = a² + b²

length = c

base = a

height = b

37² = 9² + b²

-Solve for b

b² = 37² - 9²

-Simplify

b² = 1369 - 81

b² = 1288

-Result

b = 35.88

-Conclusion

The ladder will reach a height higher than 35 ft.

8 0

4 years ago

How do I solve this problem

quester [9]

I think x equals 54

Hope this helps

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

HEEEEELP which one is correct?

Nostrana [21]

Answer:

Substitution

3 0

3 years ago

Read 2 more answers

Bart opens a bank account and deposits $10 each week. If he has $90 in his account, how many weeks has he been depositing money?

Komok [63]

Answer:

9 weeks

Step-by-Step Instructions:

Step 1: State what is know

Bart deposits 10 dollars every week

Bart has 90 dollars in his account

Step 2: Find a way to solve for how many weeks Bart ha been depositing money

Total money in account / 10 dollars deposit per week = weeks he has been depositing

Step 3: Substitute in values and solve

90/ 10 = 9

Step 4: State your findings

Therefore Bart has been depositing money for 9 weeks

5 0

3 years ago