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3 years ago

Let f be a real-valued function defined on [0,∞), with the properties: f is

Mathematics

1 answer:

USPshnik [31]3 years ago

8 0

im not sure this is right

g'(x) = 6b(-5x + 1)^5 (-5)

g'(x) = -30b(-5x +1)^5

g''(x) = -30b(5)(-5x + 1)^4 (-5)

g''(x) = 750b (-5x +1)^4

g(x) = b(−5x + 1)6 − a

when

g(-x) = b(5x +1)6 - a

g'(x) = -30b(-5x +1)^5 = 0

-5x +1 = 0

x = 15

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On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integ

Setler [38]

Answer: $\frac{1}{7}$

Step-by-step explanation:

Given

sunny day speed= s mph

Rainy day speed=s+1 mph

Derek average speed =2.8 miles/hr

s<2.8<s+1

so on sunny day speed must be 2 mph

and on rainy day speed must be 3 mph

$v_{avg}=\frac{distance}{time\ taken}$

Let x be the distance traveled in sunny and y be the distance traveled in rainy weather

$2.8=\frac{x+y}{\frac}{x}{2}+\frac{y}{3}}$

Let $\frac{x}{y}=z$

$2.8=\frac{z+1}{\frac{z}{2}+\frac{1}{3}}$

$z=\frac{1}{6}$

Fraction of distance traveled on sunny weather

$\frac{x}{x+y}=\frac{z}{z+1}=\frac{1}{7}$

5 0

3 years ago

HELPPP PLEASE!! Which two fixed points define the shape ellipse

Marysya12 [62]

Answer: The answer is b i took the test plsss tell me if it helps;)

8 0

3 years ago

Quotient of two more than a number and eight

aev [14]

Answer: This would be expressed as: " (x + 2) / 8 " .

5 0

3 years ago

How many atoms sodium would a 4 mole sample of Na3P have?

ioda

<h3>Answer:</h3>

2 × 10²⁴ atoms Na₃P

<h3>General Formulas and Concepts:</h3>

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Chemistry</u>

<u>Atomic Structure</u>

Using Dimensional Analysis
Avogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc.

<h3>Step-by-step explanation:</h3>

<u>Step 1: Define</u>

4 mol Na₃P

<u>Step 2: Identify Conversions</u>

Avogadro's Number

<u>Step 3: Convert</u>

<u /> $\displaystyle 4 \ mol \ Na_3P(\frac{6.022 \cdot 10^{23} \ atoms \ Na_3P}{1 \ mol \ Na_3P} )$ = 2.4088 × 10²⁴ atoms Na₃P

<u>Step 4: Check</u>

<em>We are given 1 sig fig. Follow sig fig rules and round.</em>

2.4088 × 10²⁴ atoms Na₃P ≈ 2 × 10²⁴ atoms Na₃P

7 0

3 years ago

How many solutions for each system

muminat

Infinitely many is the first one, because you can convert one equation into another one (3x-3y=-18---> x-y=-6, ---->y=x+6)

second one is one solution, because
y=-4x+11 and y=11+6x,--->-4x+11=11+6x, -4x-6x=0, x=0

third one
y =-2x+5 and y=-7-2x ,-2x+5=-7-2x, --->5=-7 false , no solutions

3 0

3 years ago