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Sedbober [7]
3 years ago
7

The amount of increase or decrease in a function usually written as a fraction

Mathematics
2 answers:
insens350 [35]3 years ago
8 0
Rate, Rate of change and Slope.
kherson [118]3 years ago
3 0

Answer:

considered the slope

Step-by-step explanation:

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Differentiating Exponential functions In Exercise,find the derivative of the function. See Example 2 and 3.
Citrus2011 [14]

Answer:

f'(x)=-5ae^{ax}=a f(x), where a be a constant.

Step-by-step explanation:

Note: The given functions is a constant function because variable term is missing.

Consider the given function is

f(x)=-5e^{ax}

where a be a constant.

We need to find the derivative of the function.

Differentiate with respect to x.

f'(x)=\dfrac{d}{dx}(-5e^{ax})

f'(x)=-5\dfrac{d}{dx}(e^{ax})

f'(x)=-5e^{ax}\dfrac{d}{dx}(ax)            [\because \dfrac{d}{dx}(e^x)=e^x]

f'(x)=-5ae^{ax}

f'(x)=a(-5e^{ax})

f'(x)=a f(x)

Therefore, the derivative of the function is f'(x)=-5ae^{ax}=a f(x).

7 0
3 years ago
The product of 1 1/2 and 2 is
Over [174]

Method 1:

Convert the mixed number to the improper fraction:

1\dfrac{1}{2}=\dfrac{1\cdot2+1}{2}=\dfrac{3}{2}

Make the product:

1\dfrac{1}{2}\cdot2=\dfrac{3}{2}\cdot2

<em>canceled 2</em>

=\dfrac{3}{\not2_1}\cdot\not2^1}=\boxed{3}

Method 2:

1\dfrac{1}{2}=1+\dfrac{1}{2}

1\dfrac{1}{2}\cdot2=\left(1+\dfrac{1}{2}\right)\cdot2

<em>use the distributive property a(b + c) = ab + ac</em>

(1)(2)+\left(\dfrac{1}{2}\right)(2)=2+1=\boxed{3}

7 0
3 years ago
Which statement does NOT correctly describe the order of operations (PEMDAS)?
Readme [11.4K]

Answer:

I think it’s D

Step-by-step explanation:

6 0
3 years ago
Brian sat in a massage chair at a shopping mall for 8 minutes and paid $9. Norah sat in
goldfiish [28.3K]

Answer:

(1/2)x + $5 (Answer A)

Step-by-step explanation:

Two points on the line representing the cost are (8, $9) and (12, $11).

The change in x is 4 (minutes); this is the 'run.'  The change in y is $2 (this is the 'rise').  Thus, the slope of this line is m = rise / run = $2/(4 min), or 1/2 dollar per min.

Applying the slope-intercept formula y = mx + b, we get:

$9 = (1/2)(8) + b, and from this we see that b must be $5.

Then the correct equation is y = (1/2)x + $5.

3 0
3 years ago
Help me with this mathematical problem please
Lady_Fox [76]

10

hope this helps you with everything ☺✌

8 0
3 years ago
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