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ANEK [815]
3 years ago
10

Which system of inequalities is represented on this graph? options are attached

Mathematics
1 answer:
Lena [83]3 years ago
6 0

Answer:

y

y\leq -2x+2

Step-by-step explanation:

we know that

The solution of the system of inequalities is the shaded area below the solid line and below the dashed line

The equation of the dashed line is y=x-1

The equation of the solid line is y=-2x+2

therefore

The system of inequalities is

y

y\leq -2x+2

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A species of fish was added to a lake. The population size P() of this species can be modeled by the following function, where t
____ [38]

Answer:

<em>The initial population size is 500 fish</em>

<em>Population size after 9 years: 1910 fish</em>

Step-by-step explanation:

<u>Mathematical Model</u>

We usually represent real situations as mathematical functions or rules that express the dependency of one variable quantity P with another variable quantity t.

The population size of a species of fish P(x) is modeled by the following function:

\displaystyle P(t)=\frac{3000}{1+3e^{-0.34t}}

Where t is the number of years elapsed since the species was added to the lake.

The initial population size can be found by substituting t for 0:

\displaystyle P(0)=\frac{2000}{1+3e^{-0.34*0}}

\displaystyle P(0)=\frac{2000}{1+3*1}

\displaystyle P(0)=\frac{2000}{4}

P(0)=500

The initial population size is 500 fish

The population size after t=9 years is:

\displaystyle P(9)=\frac{2000}{1+3e^{-0.34*9}}

\displaystyle P(9)=\frac{2000}{1+3e^{-3.06}}

\displaystyle P(9)=\frac{2000}{1.047}

P(9)\approx 1910

Population size after 9 years: 1910 fish

6 0
3 years ago
Izzie recently took a math test where each correct answer (a) on the main part of the test was worth 5.8 points. She also correc
vekshin1

Answer:your answer is D:11

Step-by-step explanation:

Just do 11×5.8 on your paper where it says show your work then you add 15

3 0
3 years ago
Read 2 more answers
Anybody know these 4 problems I forgot how to do it lol​
tangare [24]

Answer:

the formula is base time height times 1/2 its really easy use desmos calculater:))))

Step-by-step explanation:

4 0
3 years ago
Evaluate p2 - r2 for p = 10, r = -4 and t = 5.
AlexFokin [52]

Answer:

84

Step-by-step explanation:

p^2-r^2= 10^2-(-4)^2

100-16=84

4 0
3 years ago
25PTS (WILL MARK BRAINLIEST)
KatRina [158]

Answer:

scalene triangle

Step-by-step explanation:

non of the sides are equal

5 0
3 years ago
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