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3 years ago

How can I tell if something is linear or nonlinear?

Mathematics

2 answers:

Effectus [21]3 years ago

6 0

Linear growth means that the y value increases by the same amount for each increase in the x value.

Example:

$y=2x$

y increases by 2 for every increase in x.

This will be a straight line when graphed.

Counter-example:

$y=x^2$

y increases by a different amount for each increase in x.

This will be a curved line when graphed.

Anni [7]3 years ago

5 0

Answer:

When something is linear it will meet the criteria, on a graph it will be a straight line, it won't have any curves in it.

When something is nonlinear it doesn't fit the criteria, on a graph it will be curved, never straight

Hope this helps ;)

Step-by-step explanation:

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The least common denominator of three fraction is 100. one of the fractions are 7/10. what are the other fractions.

yaroslaw [1]

The asnwer is play robl0x

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2 years ago

Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor

Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

Solution:

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is $\frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }$

If they work together they can do the entire prospectus in five hours

$\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}$

On cross-multiplication we get,

$\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}$

$\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}$

On cross multiplication ,we get

$\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}$

using quadratic formula:-

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$x=\frac{12 \pm \sqrt{144-40}}{2}$

$\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}$

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0

3 years ago

If a woodchuck could chuck 2 pieces of wood every hour, how big is a beavers dam?

Nataly_w [17]

Answer:

How many hours?

Step-by-step explanation:

the answer to this is 2x

X is the number of hours and you multipy it by 2 wood

6 0

3 years ago

If f(x)=2x^2+(1000/x), find the average rate of change of f(x) from x=a to x=a+h.

galina1969 [7]

Answer:

$\frac{\frac{1000}{x+h}-\frac{1000}{x}}{h}$ is your average rate of change,

Step-by-step explanation:

average rate of change is

$\frac{f(a+h)-f(a)}{a+h-a}$ , by slope formula

simplify this to get $\frac{f(a+h)-f(a)}{h}$ , which is the definition of the derivative as h goes to 0

$\lim_{h \to 0} \frac{f(a+h)-f(a)}{h}$

since you defined x=a, we can substitute a for x and vice versa to find our derivative.

$\lim_{h \to 0} \frac{(2x^2+\frac{1000}{x+h})-(2x^2+\frac{1000}{x})}{h}$

simplifying

$\lim_{h \to 0} \frac{\frac{1000}{x+h}-\frac{1000}{x}}{h}$ (your average rate of change)

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3 years ago

I have no idea how to do this.

Viktor [21]

A) the perimeter of a triangle is the bottom plus the left slanty side plus the right slanty side, but you need the bottom in ft so that would be 6 ft. the perimeter is 13 ft

b) 1 yard

5 0

3 years ago

Read 2 more answers