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Elodia [21]
3 years ago
5

Which of the following is NOT a valid definition of a derivative?

Mathematics
2 answers:
NeTakaya3 years ago
8 0

Answer:

C. f'(x) = lim(h→0) [(f(x+h) − f(x)) / h]

Step-by-step explanation:

The first derivative is the slope between two points as the distance between those points approaches 0.  Slope is Δy/Δx.  Choice D is a valid way to write the first derivative.  It is the slope between the points (x, f(x)) and (x+h, f(x+h)).  Choice C is not a valid definition.

galina1969 [7]3 years ago
7 0

Answer:

C

Step-by-step explanation:

It should be:

lim h--> 0

[f(x+h) - f(x)]/h

That is,

In place of f(h), there should have been f(x)

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What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.
Assoli18 [71]

Answer:

7.36 cm²

Step-by-step explanation:

What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.

The formula for the area of a triangle is given as:

1/2 × Base × Height

Base = 3.2 cm

Height = 4.6 cm

Hence,

Area of the triangle = 1/2 × 3.2 × 4.6

= 7.36 cm²

4 0
2 years ago
(x+2/3)=(2x-4/2)<br> what is x equal to?
Nookie1986 [14]
X + 2/3 = 2x - 4/2
2/3 + 4/2 = 2x - x
2 + 2/3 = x
8/3 = x

I hope this helps!
7 0
2 years ago
Use the ditributive property for -8 (x / 3)
ioda
Greetings!

"Use the distributive property for -8 (x / 3).<span>"

The distribute property is used to simplify an expression/equation. This is done by multiplying the contents of the parenthesis by the number outside of bracket.

</span>-8 (x / 3)
=(-8*x / -8*3)
<span>Simplify.
</span>=(-8x/-24)


Hope this helps.
-Benjamin



4 0
3 years ago
Rewrite the following expression.
faust18 [17]

We have been given the expression

x^{\frac{9}{7}}

We have the exponent rule

x^{\frac{a}{b}}= x^{a^{(\frac{1}{b})}}

Using this rule, we have

x^{\frac{9}{7}}= x^{9^{(\frac{1}{7})}}

Now, using the fact that x^{\frac{1}{n}}=\sqrt[n]{x}, we get

x^{\frac{9}{7}}= \sqrt[7]{x^9}\\&#10;\\&#10;x^{\frac{9}{7}}=\sqrt[7]{x^7\times x^2}\\&#10;\\&#10;x^{\frac{9}{7}}=x\sqrt[7]{x^2}

D is the correct option.

6 0
3 years ago
Read 2 more answers
The table shows the height of a tree for various years after it was planted. Using the line of best fit, how tall would the tree
katrin2010 [14]
The answer is C) 37 feet
6 0
3 years ago
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