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3 years ago

Pls help 31b&c. ASAP Thx

Mathematics

1 answer:

Leto [7]3 years ago

5 0

Answer:

b. g(x) = 12x+10

c. x = 9/2

Step-by-step explanation:

b. g(2x+1)=6x+4

g(2x+1) = 6(2x+1)+4

g(2x+1) = 12x+6+4

g(2x+1) = 12x+10

g(x) = 12x+10

c. g(x) = 64

12x+10 = 64

12x = 54

x = 54/12

x = 9/2

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What is the derivative of 1/square root 4x.

Bumek [7]

Answer:

$\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \frac{-1}{4x^\bigg{\frac{3}{2}}}$

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Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg]$

Step 2: Differentiate

Simplify: $\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \bigg( \frac{1}{2\sqrt{x}} \bigg)'$
Rewrite [Derivative Property - Multiplied Constant]: $\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \frac{1}{2} \bigg( \frac{1}{\sqrt{x}} \bigg)'$
Rewrite [Exponential Rule - Root Rewrite]: $\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \frac{1}{2} \bigg( \frac{1}{x^\Big{\frac{1}{2}}} \bigg)'$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \frac{1}{2} \bigg( x^\bigg{\frac{-1}{2}} \bigg)'$
Derivative Rule [Basic Power Rule]: $\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \frac{1}{2} \bigg( \frac{-1}{2} x^\bigg{\frac{-3}{2}} \bigg)$
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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

5 0

3 years ago

Stephen and Laura want to split a bag of fun-sized candy, and decide to use the divider-chooser method. The bag contains 100 Sni

Lubov Fominskaja [6]

Answer:

a) $4.14

b) No

c) 28 Snickers, 40 Milky Ways, 63 Reese's

72 Snickers, 60 Milky Ways, 37 Reese's

Step-by-step explanation:

Since 1 Snickers is $0.01, 1 Milky Ways is $0.03, and 1 Reese's is $0.04:

30 Snickers: 30(0.01) = 0.3

40 Milky Ways: 40(0.03) = 1.2

66 Reese's: 66(0.04) = 2.64

The value is: 0.3 + 1.2 + 2.64 = 4.14

The total value is: 1 + 3 + 4 = 8

A fair share must have the same value, 8/2 = 4. Since one half is 4.14 which is more than 4, it is not a fair share.

First half:

28 Snickers: 28(0.01) = 0.28

40 Milky Ways: 40(0.03) = 1.2

63 Reese's: 63(0.04) = 2.52

Second half:

72 Snickers: 72(0.01) = 0.72

60 Milky Ways: 60(0.03) = 1.8

37 Reese's: 37(0.04) = 1.48

5 0

3 years ago

How do you solve Log (base 8) 2 =x

LenaWriter [7]

Log8 2 = x
by the definition of logs, we can write

8^x = 2

8^(1/3) = 2

so x = 1/3

or we could solve it by using log to base 10 and use our calculator

log 8^x = log 2
x log 8 = log 2

x = log 2 / log 8 = 0.333.... = 1/3

3 0

3 years ago

(I just need help on b)

ddd [48]

B.) Do you notice clusters or outliers in the data? Explain your reasoning.(2 points) The answer is 3100

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3 years ago

What decimal is equivalent to 13/10

LUCKY_DIMON [66]

Answer:

1.30

Step-by-step explanation:

because it's 13 / 10 it means that there is a whole number , 13 - 10 equals 3 oh, so you divide 3 from 100

4 0

3 years ago