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3 years ago

15 ( y - 4 ) - 2 (y - 9 ) + 5 (y + 6) = 0

Mathematics

1 answer:

wolverine [178]3 years ago

6 0

Answer:

y = 2/3

Step-by-step explanation:

Assuming you are looking for "y":

15 * ( y - 4 ) - 2 * (y - 9 ) + 5 * (y + 6) = 0

15y - 60 - 2y + 18 + 5y + 30 = 0

15y - 2y + 5y -60 + 18 + 30 = 0

18y = 60 - 18 - 30

18y = 12

y = 12/18

y = 2/3

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lana66690 [7]

Answer:

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Step-by-step explanation:

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3 years ago

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4 years ago

Please help! Can anyone help me out with this question?

TEA [102]

Answer:

$\displaystyle h'(s) = 64s + 20$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

$\displaystyle h(s) = (-8s - 9)(-4s + 2)$

Step 2: Differentiate

[Derivative] Product Rule: $\displaystyle h'(s) = \frac{d}{ds}[(-8s - 9)](-4s + 2) + (-8s - 9)\frac{d}{ds}[(-4s + 2)]$
[Derivative] Basic Power Rule: $\displaystyle h'(s) = (1 \cdot -8s^{1 - 1} - 0)(-4s + 2) + (-8s - 9)(1 \cdot -4s^{1 - 1} - 0)$
[Derivative] Simplify: $\displaystyle h'(s) = (-8)(-4s + 2) + (-8s - 9)(-4)$
[Derivative] Distribute [Distributive Property]: $\displaystyle h'(s) = 32s - 16 + 32s + 36$
[Derivative] Combine like terms: $\displaystyle h'(s) = 64s + 20$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

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3 years ago

Round 20.86 to the nearest tenth 20 20.8 20.86 20.9

stealth61 [152]

Answer:

20.9 is the answer because To round 20.86 to the nearest tenth consider the hundredths’ value of 20.86, which is 6 and equal or more than 5. Therefore, the tenths value of 20.86 increases by 1 to 9. 20.86 rounded to the nearest tenth = 20.9

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3 years ago

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Maru [420]

Answer:

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3 years ago