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3 years ago

At which intervals is the function linear or nonlinear?

Mathematics

1 answer:

NeX [460]3 years ago

5 0

Answer:

Linear non-linear

x<2 , x>5 2<x<5

Step-by-step explanation:

When a function is linear then the graph is a straight line

When the function is not linear then the graph is like a curve

From x = - infinity to 2 the graph is a straight line

So from - infinity to 2, the function is linear, that is x<2 function is linear

from 2 to 5 the graph is like a curve , so it is not linear

2<x<5 , the function is not linear

From x = 5 to infinity the graph is a straight line

So from 5 to infinity, the function is linear, that is x>5 function is linear

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Hey! Can someone check my answers?

Andrew [12]

The greatest common factor is the biggest number taken from the values.

Q1. The answer is A. 5y^6

$20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}$
Since $x^{a}* x^{b} =x^{a+b}$ , then $x^{9}= x^{3}* x^{6}$

Back to our expression:
$4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+ 5y ^{6}*1=5 y^{6} (4y ^{3} +1)$
The greatest common factor is thus $5 y^{6}$

Q2. The answer is D. 12xy^2

$12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}$
We will use the rule $x^{a}* x^{b} =x^{a+b}$ to factorise the exponents:
$12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)$
The greatest common factor is thus $12xy^{2}$

3 0

3 years ago

Solve the equation. 4s=2/5 s= (Type a whole number, fraction, or mixed number.)

BabaBlast [244]

Answer:

s = 1/10

Step-by-step explanation:

First, divide both sides by 4 to get s by itself.

(2/5) / 4 = 1/10

s = 1/10

6 0

3 years ago

An average American child aged 0-2 years old has about 915 minutes of screen time in 5 days. 6 times the difference between a ch

Alborosie

Answer:

For children ages 2 to 5, limit screen time to one hour a day of high-quality programming. As your child grows, a one-size-fits-all approach doesn't work as well. You'll need to decide how much media to let your child use each day and what's appropriate.

Step-by-step explanation:

For kids aged 2 to 5, screen time should be limited to 1 hour per day, and parents should watch the programs with their child. Also, parents should have times when screens are turned off, and bedrooms should be media-free.

7 0

3 years ago

If y=7 when x=64 what is x when y=8

kirill [66]

Answer:

when y=8 x= 73 ❤️❤️❤️❤️❤️

3 0

3 years ago

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A science museum has an average of 424 visitors each day. The museum is open every day. Over a two-week period, how many people

timama [110]

Answer: