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Masteriza [31]
4 years ago
13

Let f prime (x) = 2/x and f (square root e) = 5 then f (e) =

Mathematics
1 answer:
Marta_Voda [28]4 years ago
7 0
F(x) = 2lnx +c so 5 = 1 +c after substitution.
Means c = 4 and f(x) = (2 lnx) +4 {NOT 2 ln(x+4)}
And so f(e) = 2+4=6.
So 6 is the answer
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H(x)=1/8x^3-x^2<br><br> Over which interval does h have a positive average rate of change?
lara31 [8.8K]

Answer:

(-\infty,0)\cup(\frac{16}{3},\infty)\\That \ is x\frac{16}{3}

Step-by-step explanation:

h(x)=\frac{1}{8}x^{3} -x^{2} \\\\Differentiate \ h(x) \ with \  respect \ to \ x\\h'(x)=\frac{3}{8}x^{2} -2x

For positive rate of change h'(x)>0

\frac{3}{8} x^{2} -2x>0\\x(\frac{3}{8}x-2)>0\\\\ When \ x0 \ (multiplication \ of \ two \ positives \ is \ positive)\\\\h'(x)>0 \ when \ x\frac{16}{3} \\\\

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3 years ago
At the store, 10 ounces of candy costs $3.20. What is the price of 1 ounce?
Ratling [72]

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Step-by-step explanation:

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3 years ago
Which expression is not equivalent<br> to (x + 4)(x – 3)?
Digiron [165]

Answer:

A) x² + 7x - 12 is NOT equivalent to the expression.

Step-by-step explanation:

1) expand by distributing terms.

{x }^{2}  - 3x + 4(x - 3)

2) Expand by distributing terms.

{x}^{2}  - 3x + 4x - 12

3) Collect like terms.

{x}^{2}  + ( - 3x + 4x) - 12

4) Simplify.

{x}^{2}  + x - 12

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The product of 2 and the sum of a numbet and 8 is equivalent to 16
Rudik [331]

2(x+8)=16

2x+16=16

2x=16-16

2x=0

x=0

6 0
3 years ago
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