Answer:
f(-4) = 72, f(x + 5) = 3x² + 23x + 36
Step-by-step explanation:
f(-4) = 3(-4)² - 7(-4) - 4
= 48 - (-28) - 4
f(-4) = 72
f(x + 5) = 3(x + 5)² - 7(x + 5) - 4
= 3(x + 5)(x + 5) - 7(x + 5) - 4
= 3(x² + 10x + 25) - 7(x + 5) - 4
= 3x² + 30x + 75 - 7x - 35 - 4
f(x + 5) = 3x² + 23x + 36
Step-by-step explanation: |x − y| = 1, ok lets play as Alice, my number is y, and the bob number is x.
the condition says that x-y = 1 or x-y = -1.
so, if you know x, then y = 1 +y or y = y - 1. so you have two possibilities.
let's see two cases : first, let's suppose there are no code in the conversation. Then the only way of being shure of your number, is if one of them have the lowest positive number, so the other should have the next one. So if Bob have the number one, Alice knows for shure that she has the 2. Bob knows that she has a 2, but that means he could have a 1 or a 3, but when he sees that Alice is shure about her number, he knows that his number is the 1.
the second case is where the conversation may be a sort of code, saying a phrase x times and changing when x = the number of the other person, in this case, bob will have the 201 and alice the 202.
Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min
alina1380 [7]
Answer:
Step-by-step explanation:
We have been given two points on a line 
and 
. We are asked to write an equation passing through these points.
We will write our equation in slope-intercept form of equation 
, where,
m = Slope of line,
b = Initial value or the y-intercept.
Let us find slope of given line using slope formula.
Let point 
and point 
.
Now, we will substitute and coordinates of point in slope-intercept form of equation as:
Upon substituting and 
in slope-intercept form of equation, we will get our required equation as:
Therefore, our required equation would be .
<u>Answer:</u>
E(n) = n + 5
<u>Explanation:</u>
The profit is the difference between the amount of money received as a revenue and the amount of money spent as expenses.
<u>This means that:</u>
Profit = Revenue - Expenses
<u>Rearrange the formula to solve for the expenses, we get:</u>
Expenses = Revenue - Profit
<u>We are given that: </u>
Revenue = R(n) = 18n
Profit = P(n) = 17n - 5
<u>Substitute in the above formula to get the formula for expenses as follows:</u>
E(n) = R(n) - P(n)
E(n) = 18n - (17n-5)
E(n) = 18n - 17n + 5
E(n) = n + 5
Hope this helps :)
