Answer:
$(x - 1425)/3
Step-by-step explanation:
Let total monthly budget be x
Amount spent on mortgage = $1425
Remaining balance after spending on mortgage = x - $1425
Amount spent on recreational activities = one-third of the balance
Expressing amount spent on recreational activities as an equation will give;
Amount spent on recreational activities = 1/3 of x - $1425
= 1/3 × ( x - $1425)
= ( x - $1425)/3
Hence the required equation is;
R = $(x - 1425)/3
R means recreational activities
I believe that the length of the long piece is 30 m, I might not be right though
This is probably a question about comparing the specific operations being performed in the pairs of functions provided. In all cases but D, the rate of growth converges at extremes of x. Tbh it could probably be worded better...
In A, the degree of both expressions is the same: 2. The biggest thing being done to x that it's squared, and the fact that one expression has an extra x term doesn't change it's rate of growth significantly because at high values of x, the functions will essentially be the same (e.g. compare 1000^2+4(1000) and 1000^2 - the difference is quite small and only gets smaller as you go up)
In B, again the same operation is being performed (taking the natural logarithm of x). The second expression can also be written as 2lnx, making it quite similar to the first (but with a vertical stretch by a factor of 2).
Same idea again for C - same operation (e^x) and same order of operation being performed.
For D, x^3 and x^4 are different functions completely. As you increase x, the functions begin to diverge from one another more and more. This reflects significantly different rates of growth.
Answer:
x = 22
Step-by-step explanation:
triangle = 180 degrees
2x + 12 + x + 54 + 3x - 18 = 180 degrees
combine like terms
6x + 12 + 54 - 18 = 180
6x + 48 = 180
<u> -48 -48</u>
6x = 132
divide by 6
x = 22
<em><u>Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!</u></em>
<em><u>-Lil G</u></em>