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Setler79 [48]
3 years ago
10

A biologist took a count of the number of fish in a particular lake, and recounted the lake’s population of fish on each of the

next six weeks.
Find a quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 8.


P(x) = 13x^2 – 10x + 350; 917 fish
P(x) = 13x^2 – 10x + 350; 1,102 fish
P(x) = 18x^2 + 10x + 300; 1,252 fish
P(x) = 18x^2 + 10x + 300; 1,532 fish
Mathematics
1 answer:
patriot [66]3 years ago
6 0
The two equations for which the given number of fist is satisfied when x = 8 is plugged in are:
<span>P(x) = 13x^2 – 10x + 350
and
</span><span>P(x) = 18x^2 + 10x + 300

Now, we can only decide which is correct if we have additional information, specifically if we know the number of fish initially. If it is 350, option B is correct and if it is 300 then option D is correct.</span>
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Hey can someone plz help me with this??? *cute eyes*
Leto [7]

Answer:

A. 5

B. -5, 5

C. 5, 5

Step-by-step explanation:

A. |-6+(-1)| = 5

B. -6-(-1)=-6+1=-5

-1-(-6)=-1+6=5

C. |-6-(-1)|=|-6+1|=5

|-1-(-6)|=|-1+6|=5

5 0
3 years ago
Write the equation of a line that is perpendicular to the line that passes through (4,−3)and (−7,8).
masha68 [24]

Line perpendicular to a given line is = 1/m

To find m, use m =y2-y1/x2-x1 formula

m = (8-(-3))/(-7-4)

m = 11/-11,

m = -1

Use y= mx+c to find equation of line

Plug in a pair of values,

-3= -1(4)+ c

c= 1

Thus, equation is:

y = -x+1

Equation of line perpendicular to this line is:

y= x+1

Hope it helps :)

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3 0
3 years ago
Suppose that the second term of a geometric sequence is 4 and the sixth term is 16. Find the fourth term
Kaylis [27]

Answer:

  • 8

Step-by-step explanation:

<h3>Given GP</h3>
  • a₂ = 4,
  • a₆ = 16
<h3>To find</h3>
  • a₄ = ?
<h3>Solution</h3>
  • a₂ = ar = 4
  • a₆= ar⁵ = 16

<u>Substitute ar in the second equation</u>

  • ar⁵= 16
  • 4r⁴ = 16
  • r⁴ = 4
  • r = √2

<u>Then finding a₄</u>

  • a₄ = a₂*r² = 4*(√2)² = 4*2= 8
7 0
3 years ago
You put $200 into an account earning 6% interest compounded yearly.
VMariaS [17]

Answer:

43.35 years

Step-by-step explanation:

From the above question, we are to find Time t for compound interest

The formula is given as :

t = ln(A/P) / n[ln(1 + r/n)]

A = $2500

P = Principal = $200

R = 6%

n = Compounding frequency = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06/1)] )

t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06)] )

t = 43.346 years

Approximately = 43.35 years

7 0
3 years ago
P/9 - 1 &lt; -2 ...<br> Solve for p
love history [14]

Step-by-step explanation:

first collect terms, while the < remains unchange

<u>P</u><u> </u><u> </u>< 1-2

9

cross examine and get the answer

<u>P</u><u> </u>< <u>-</u><u>1</u>

9 1

<em>P</em><em> </em><em>=</em><em> </em><em>-</em><em>9</em>

7 0
3 years ago
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