Answer:
1090908 rooms
Step-by-step explanation:
calculator
Answer:
18 and 19
Step-by-step explanation:
Consecutive positive integers have a difference of 1 between them
let n and n + 1 be the 2 integers, then
n(n + 1) = 342, that is
n² + n = 342 ( subtract 342 from both sides )
n² + n - 342 = 0 ← quadratic equation in standard form
(n + 19)(n - 18) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 19 = 0 ⇒ n = - 19
n - 18 = 0 ⇒ n = 18
However, n > 0 ⇒ n = 18 and n + 1 = 18 + 1 = 19
The 2 integers are 18 and 19
Answer:
f(x) =
Step-by-step explanation:
Note that
= 1
= 3
3² = 9
3³ = 27
Thus
f(x) =
In the form y = mx + c
First thing's first, we can determine the gradient, m, simply by looking at the points.
The gradient is determined by how much the value of y increments (or decrements) for each increase of 1 on the x axis.
Every time x increases by 1, y decreases by 4, meaning our gradient is -4.
We are also able to determine our constant, c, by seeing where our line will cross the y axis. In this case, there is a point dead-on the y axis at (0, -2), meaning our constant is -2.
With this information, we can put together the linear equation, y = -4x -2.
J. 4y + 8
4(y + 2). <—— multiply 4 by what’s in the parentheses
4 • y = 4y
4 • 2 = 8