Answer:
- Let p be the population at t be the number of years since 2011. Then,
- The projected population of the high school in 2015=1800
- In <u>2019</u> the population be 1600 students
Step-by-step explanation:
Given: The population at Bishop High School students in 2011 =2000
Also, Every year the population decreases by 50 students which implies the rate of decrease in population is constant.
So, the function is a linear function.
Let p be the population at t be the number of years since 2011.
Then,
So at t=0, p=2000
In year 2015, t=4, substitute t=4 in the above equation ,we get
Hence, the projected population of the high school in 2015=1800
Now, put p=1600 in the function , we get
Now, 2011+8=2019
Hence, in <u>2019</u> the population be 1600 students
<span> 3(x+2y)+5x−y+1
Use distributive property
3x+6y+5x-y+1
Add 5x to 3x
8x+6y-y+1
Subtract y from 6y
Final Answer: 8x+5y+1</span>
The nth term of the sequence is 2n - 8
<h3>Equation of a function</h3>
The nth term of an arithmetic progression is expressed as;
Tn = a + (n - 1)d
where
a is the first term
d is the common difference
n is the number of terms
Given the following parameters
a = f(1)=−6
f(2) = −4
Determine the common difference
d = f(2) - f(1)
d = -4 - (-6)
d = -4 + 6
d = 2
Determine the nth term of the sequence
Tn = -6 + (n -1)(2)
Tn = -6+2n-2
Tn = 2n - 8
Hence the nth term of the sequence is 2n - 8
Learn more on nth term of an AP here: brainly.com/question/19296260
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Answer: c = 3
Step-by-step explanation: First, make sure you simplify the left side of the equation by combining our <em>c terms</em> together.
So we have 9c - 6c - 2c + 5c which simplifies to 6c.
So now we have the equation 6c = 18.
To solve for <em>c</em> in this equation, we want to get <em>c</em> by itself on the left side of the equation. Since <em>c</em> is being multiplied by 6, to get <em>c</em> by itself, we need to divide by 6 on the left side of the equation. Since we divided by 6 on the left side, we must also divide by 6 on the right side.
On the left side, the 6's cancel out so we're simply left with <em>c</em>. On the right side we have 18 divided by 6 which is 3 so we have <em>c = 3</em>.
