225*(x+1/25)+225*(y-4/9)=225*1
9(x+1)+25(y-4)=225
9x+9+25y-100=225
9x-91+25y=225
9x=225+91-25y
9x=316-25y
x=316/9-25/9
Answer:
Step-by-step explanation:
the position of the boat on the waters surface = 0 (zero)
Carmen and Jen's swimming depth. = -15
Answer:
4π mi²
Step-by-step explanation:
s = (∅/360) * πr²
s = (135/360) * π(4²)
s = (135/360)(16) * π
s = 4π mi²
Answer:x=3 y=1/2
Step-by-step explanation:
x+2y=4
2x-2y=5
Add both equations together
x+2x+2y-2y=4+5
3x+0=9
3x=9
Divide both sides by 3
3x/3=9/3
x=3
Substitute x=3 in x+2y=4
x+2y=4
3+2y=4
Collect like terms
2y=4-3
2y=1
Divide both sides by 2
2y/2=1/2
y=1/2
a) The linear function that models the population in t years after 2004 is: P(t) = -200t + 29600.
b) Using the function, the estimate for the population in 2020 is of 26,400.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The initial population in 2004, of 29600, is the y-intercept. In 12 years, the population decayed 2400, hence the slope is:
m = -2400/12 = -200.
Hence the equation is:
P(t) = -200t + 29600.
2020 is 16 years after 2004, hence the estimate is:
P(16) = -200(16) + 29600 = 26,400.
More can be learned about linear functions at brainly.com/question/24808124
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