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3 years ago

What does the notation f prime of x mean?

1 answer:

8 0

F ' (x) represents the derivative of a function. Primarily used in calculus, the derivative is the rate of change on a nonlinear system.
If you recall from linear algebra, lines have a slope, as they have a constant rate of change (and the slope was defined as 'm' in y=mx+b).
Curved systems (like parabola and other complex functions) have varying rates of change, requiring the use of the derivative of a function.

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|x| + 4 > 7 plz help and hurry

Talja [164]

Answer:

The solution is $(-\infty,-3)\cup(3,\infty)$ .

Step-by-step explanation:

Given:

The inequality given is:

$|x|+4>7$

In order to simplify for 'x', we first isolate 'x' on one side.

Adding -4 on both sides, we get:

$|x|+4-4>7-4\\\\|x|>3$

Now, $|x|$ is an absolute value function which is defined as:

$|x|=\left \{ {{-x}\ \ x$

Therefore, the given inequality can be rewritten as:

$-x > 3\\x$ and $x > 3$

Therefore, the solution is $(-\infty,-3)\cup(3,\infty)$ .

4 0

2 years ago

And animals weight change from 12 pounds to 16 pounds what was the percent increase to the nearest whole number

amm1812

That's a 33% increase.

I calculated this using the formula:

$\frac{|n-o|}{o} * 100$

Where n = the new value (16 in your question), o = the old value (12 in your question) and the result is outputted as a percent increase. You can check that this is correct by finding 33% of 12, adding the result to 12, and checking that the result equals your "new" number.

Note that 33% is only an approximation as your question requires a number rounded to the nearest whole.

5 0

3 years ago

What's 1 plus 1. please help me

m_a_m_a [10]

Answer: 2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A town has a population of 5000 and grows at 4% every year. To the nearest year, how long will it be until the population will r

Rus_ich [418]

Answer:

About 21.457 years

Step-by-step explanation:

You can solve this by setting up a simple equation.

$5000\cdot 1.04^x \geq 11600$

$1.04^x \geq 2.32$

log base 1.04 2.32=x

$x\approx 21.457$ years

Hope this helps!

8 0

3 years ago

Truck A costs $600 more that Truck B. However, it burns 0.06 gallon/mile compared to 0.07 gallon/mile for truck B. Both trucks h

qwelly [4]

Answer:

1,778

Step-by-step explanation:

Let C and S represent the cost and salvage value of Truck B, respectively. Let X represent the number of miles per year that answers the question.

Truck A's cost for 10 years is ...

A = C+600 +(0.06)(2.25)(10X) -(S+200)

Truck B's cost for 10 years is ...

B = C +(0.07)(2.25)(10X) -S

We want to find X such that Truck A's cost is lower, so ...

C -S +1.35X +400 < C -S +1.575X

400 < 0.225X

1777 7/9 < X

1778 miles driven per year (or more) makes Truck A a better option.

5 0

3 years ago