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4 years ago

Evaluate the difference quotient for the given function. Simplify your answer.

1 answer:

3 0

$f(x)=3+3x-x^2;\ x_0=5\\\\\dfrac{f(x_0+h)-f(x_0)}{h}=\dfrac{3+3(5+h)-(5+h)^2-(3+3\cdot5-5^2)}{h}\\\\=\dfrac{3+15+3h-(25+10h+h^2)-(3+15-25)}{h}\\\\=\dfrac{18+3h-25-10h-h^2-(-7)}{h}\\\\=\dfrac{-h^2-7h-7+7}{h}\\\\=\dfrac{-h^2-7h}{h}\\\\=\boxed{-h-7}$

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Which fraction represents the decimal 0.12 a) 1/12 b) 3/25 c) 4/33 d ) 33/4

almond37 [142]

Answer:

The fraction that represents the decimal 0.12 is 3/25

Step-by-step explanation:

step 1: find the place value of the last digit in 0.12

Since they are 2 digits in 0.12 the place value of last digit is the 100 th, therefore 0.12 is the same as 12/100

step 2: simplify 12/100 by dividing both the denominator and numerator by 4

that is 12 divide by 4 = 3 and 100 divide by 4 =25

therefore the fraction = 3/25

5 0

4 years ago

Read 2 more answers

What is 44 to the second power?

Norma-Jean [14]

Answer:

1936

Step-by-step explanation:

You would have to multiply 44 by itsself 2 times

44 x 44 =

1,936

Example:

55 to the third power

Multiply 55 3 times since its to the 3rd power

55 x 55 x 55 =

166375

8 0

3 years ago

(Sphere has a volume of 40 cubic meters and is reduced by a scale factor

djyliett [7]

Answer: $10\ m^3$

Step-by-step explanation:

Given

The volume of Sphere is $40\ m^3$

It is reduced by a scale factor of one-fourth i.e. Volume is reduced to one-fourth of the original volume

The new volume is given by

$\Rightarrow V_{new}=\dfrac{V}{4}=\dfrac{40}{4}\\\\\Rightarrow V_{new}=10\ m^3$

5 0

3 years ago

What is equivalent to 3 radical 8

liq [111]

Answer:

C. 8^x/3

Step-by-step explanation:

According to algebraic principles, if n is the root of a number, then that number to the power of 1/n is equal to it. This would mean that n√a = a^1/n.

This would mean that 3√8 = 8^1/3. When there is a power added to a radical expression such as this, that power will go on the denominator. So (3√8)^2 for example is equal to 8^2/3, and in your case, (3√8)^x = 8^x/3

looking back on the fact that this was added 2 days ago i dont think this helped on your quiz

6 0

4 years ago

Find the average of 62 ℓ, 28 ℓ, 45 ℓ and 33 ℓ.

artcher [175]

Answer:

the average is 168

Step-by-step explanation:

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3 years ago