Order the quadratic functions from widest to narrowest graph. y=4x^2 y=2x^2 y= 0.15x^2

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Answer 1

Answer: ANSWER

$y=0.15x^2, y=2x^2,y=4x^2$

EXPLANATION

The given quadratic functions are;

$y = 4 {x}^(2)$
$y = 2 {x}^(2)$
and

$y = 0.15 {x}^(2)$

A fractional coefficient indicates a horizontal stretch.

The smaller the coefficient, the wider the stretch for
$|a| < 1$
and

$a \ne0$

Also
$|a| > 1$
indicates a horizontal compression.

The higher the value the narrower the graph.

Therefore from widest to narrowest, we have,

$y=0.15x^2, y=2x^2,y=4x^2$

See graph.

It would take around 122 hours to double the population.

Step-by-step explanation:

To answer the question, we first need to find the constant k, using the given information and the expression.

$P=4100e^(kt) \n5800=4100e^(k(40)) \n(5800)/(4100)=e^(40k)\ne^(40k)=1.41\nlne^(40k)=ln1.41\n40k=0.34\nk=(0.34)/(40)\approx 0.0085$

Now that we have the constant. We can find the time it would take to double the population which would be 11600:

$P=4100e^(kt)\n11600=4100e^(0.0085t)\n(11600)/(4100)= e^(0.0085t)\ne^(0.0085t)=2.83\nlne^(0.0085t)=ln2.83\n0.0085t=1.04\nt=(1.04)/(0.0085)\approx 122.35$

Therefore, it would take around 122 hours to double the population.

Evaluate the expression

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Answer:

Step-by-step explanation:

In the first step, inside the brackets I took the LCM and then in second step I subtracted 3 from 11 which gave result of8÷8=1 then 1 is multiplied to 2 which becomes 49-2 and 47 is the result

3 hundreds, 17 tens, 3 ones, 1 tenths, and 2 hundredths. what number am I

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473.12 because you have to add 300 plus 170 (17 tens) plus 3 plus .1 plus .02

How many solutions does the equation y=3y+5 have

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it has one solution y =--2.5

Need helpp fastt plss will give brainliest to who is correct plss helpp

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I think I might have my math wrong here but I think 5

Which of the following answer choices are correct ?

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Okay, here we go.

So, given the formula, we can just plug in the numbers on the number lines. So for example:

On the first graph, it starts at 4 and goes to 5. Let's plug those in:
-6(4)+42<24
-24+42<24
18<24
18 is less than 24, so this is true so far.

moving on:
-6(5)+42<24
-30+42<24
12<24
true, again. The first graph seems correct. Let's check our answers by using the third graph where the numbers 3,2, and 1 are checked.

-6(3)+42<24
-18+42<24
24<24
24 is equal to 24, not less than, so the third graph is wrong.

Knowing this, we can use the process of elimination. We know 4 and 5 fit the equation and 3, 2, and 1 don't. This means that the graph with 4 and 5 marked is the correct one aka the first graph

Hopefully this is correct and I helped at all :)

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Order the quadratic functions from widest to narrowest graph. y=4x^2 y=2x^2 y= 0.15x^2

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It would take around 122 hours to double the population.

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