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3 years ago

(x^2-3x+2)^2 - 4x + 2

Mathematics

1 answer:

Arturiano [62]3 years ago

8 0

The answer is (x-2)^2(x-1)^2-4x+2

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The game commission observes the fish population in a stream and notices that the number of trout increases by a factor of 1.5 e

just olya [345]

Answer:

A - $f(t)=80(1.5)^t$

B - Graph given below

C - Number of trouts in 5th week are 607.2

D - Population of trouts will exceed 500 on the 5th week.

Step-by-step explanation:

We are given that,

The number of trout increases by a factor of 1.5 each week and the initial population of the trout is observed to be 80.

Part A: So, the explicit formula representing the situation is,

$f(t)=80(1.5)^t$ , where f(t) represents the population of trouts after 't' weeks.

Part B: The graph of the function can be seen below.

It can be seen that the function is an exponential function.

Part C: It is required to find the number of trouts in the 5th week.

So, we have,

$f(5)=80(1.5)^5$

i.e. $f(5)=80\times 7.59$

i.e. f(5) = 607.2

Thus, the number of trouts in 5th week are 607.2

Part D: We are given that the trout population exceeds 500.

It is required to find the week in which this happens.

So, we have,

$50$

i.e. $(1.5)^t>\frac{500}{80}$

i.e. $(1.5)^t>6.25$

i.e. $t\log 1.5>\log 6.25$

i.e. $t\times 0.1761>0.7959$

i.e. $t>\frac{0.7959}{0.1761}$

i.e. t > 4.5

As, t represents the number of weeks. So, to nearest whole, t = 5.

Thus, the population of trouts will exceed 500 on the 5th week.

7 0

3 years ago

1.) 3 is 100% of ____?

Karo-lina-s [1.5K]

Answer:

1.) 3 is 100% of 3

2.) 3 is 50% of 6

3.) 3 is 25% of 12

4.) 3 is 10% of 30

5.) 3 is 1% of 300

6.) 3 is 12% of 25

7.) 6 is 50% of 12

8.) 6 is 25 of 24

9.) 12 is 50% of 24

Step-by-step explanation:

3 0

3 years ago

Choose the slope-intercept form of 3x + 2y = 5

wlad13 [49]

Answer:

y = -3/2x + 5/2

Step-by-step explanation:

slope intercept form is y = mx + b

so we have to solve the equation for y

2y = 5 - 3x

y = 5/2 -3/2x

y = -3/2x + 5/2

8 0

3 years ago

26. What is the height of the Tree?<br> a) 20<br> b) 15<br> c) 30<br> d) 10

ale4655 [162]

Answer:

a) 20

Step-by-step explanation:

Use similar triangles.

2/3 = x/30

3x = 2 * 30

3x = 60

x = 20

Answer: a) 20

6 0

3 years ago

Read 2 more answers

noah and kate are shopping for new guitar strings in a music store. Noah buys 2 packs of strings. Kate buys 2 packs of strings a

marin [14]

One pack of strings is $14. This is because 72-16=56. I subtracted the 16 because it is how much the book cost, so it does not have anything to do with the amount one pack of strings cost. Then, I divided 56 by 4 which equals 14. I divided 56 by 4 because the question is how much one pack is, and Noah and Kate bought a total of 4 packs. This proves that one pack of strings costs $14.

Hope this helps you!

3 0

4 years ago