heres a video link
https://virtualnerd.com/algebra-1/linear-equation-analysis/slope-rate-of-change/understanding-slope/rate-of-change-two-points-table
Answer:
First number = 22
Second number = 24
Step-by-step explanation:
Let the first number = x
Let the second number = x + 2
According to the question ,
The sum of two even consecutive ingers = 46.
so,
x + x + 2 = 46
2x + 2 = 46
2x = 46 - 2
2x = 44
x = 44 / 2
x = 22
∴ FIRST NUMBER = X
= 22
SECOND NUMBER = X + 2
= 22 + 2
= 24.
Whereas the vertex of the graph of the function f(x) = x^2 is (0, 0), the vertex of the graph of the function g(x) = -8x + x^2 + 7 = (4, -9).
The vertex of the graph of the function g(x) = -8x + x^2 + 7 is 4 units to the right and 9 units down of the vertex of the graph of the function f(x) = x^2.
-(36 degrees) =
-0.628318531 radians
hope this helps you
The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
