Answer:
No, the closest to -451 in the sequence is -429
Step-by-step explanation:
so, they already used 4,885.78 this month, but whatever all five family members can use total for a month is 7,250.50, so since they already used 4,885.78, they have left 7,250.50 - 4,885.78 = 2364.72.
![\bf \begin{array}{lllllll} \textit{amount all five}&&\textit{amount they}&\textit{must be}&\textit{amount allowed}\\ \textit{members can use}&&\textit{already used}&\textit{equals or less}&\textit{per month}\\\\ 5x&+&4,885.78&\leqslant&7,250.50 \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blllllll%7D%20%5Ctextit%7Bamount%20all%20five%7D%26%26%5Ctextit%7Bamount%20they%7D%26%5Ctextit%7Bmust%20be%7D%26%5Ctextit%7Bamount%20allowed%7D%5C%5C%20%5Ctextit%7Bmembers%20can%20use%7D%26%26%5Ctextit%7Balready%20used%7D%26%5Ctextit%7Bequals%20or%20less%7D%26%5Ctextit%7Bper%20month%7D%5C%5C%5C%5C%205x%26%2B%264%2C885.78%26%5Cleqslant%267%2C250.50%20%5Cend%7Barray%7D)
Answer:
3x - y = -28
Step-by-step explanation:
Given the equation y-4 = 3(x+8), distribute and simplify to get the Standard Form.
y-4 = 3(x+8)
y - 4 = 3x + 24
y = 3x + 28
-3x + y = 28
Standard form does not allow the coefficient of x to be negative so multiply the equation by -1.
3x - y = -28
From the graph, when x = 1, y = 57,000.
Replace x with 1 in the equations and see if any of the Y 's equal 57,000 :
y = -2610.82(1) + 47860.82 = 45,250
y = 219(1)^2 - 6,506.78(1) + 59,385 = 219 - 6506.78 + 59385 = 53,097.22
y = 54041.5(0.9)^1 = 48,637.35
y = 10,504.6 (1.1)^1 = 11,555.06
The second equation is the closest. so try another x value to see if it is close to the Y value:
Let's try x = 14:
y = 219(14)^2 - 6506.78(14) + 59,385 = 42924 - 91094.92 + 59385 = 11,214.08
This is close to Y = 12,00 shown on the graph
SO the closest equitation is y = 219x^2 - 6506.78x + 59385
s1+s2>s3 where s1 and s2 are the 2 smaller sides
Choice C is the only 1 that fits
7+13 >18