Answer:
i think its like 9.14 or sumthin
Step-by-step explanation:
is tht NWEA? lol
Answer: " x = 10 " .
<u>Step-by-step explanation</u>:
Note the top "line segment" ; and the bottom "line"; have equal measurements:
The length of the top line segment is:
" (2x − 8) + 5 ."
The length of the bottom line is: " (x + 7) " ;
__________
To solve for "x" ;
___________
(2x − 8) + 5 = (x + 7) ;
Rewrite as:
2x − 8 + 5 = x + 7 ;
Note: −8 + 5 = -3 ;
_______________
Rewrite the equation as:
2x − 3 = x + 7 ;
We can subtract "x" from each side of the equation;
and add "3" to each side of the equation:
2x − 3 − x + 3 = x + 7 − x + 3 ;
_______________
to get:
_______________
x = 10 .
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Let us check our answer
(2x − 8) + 5 =? (x + 7) ;
________
(2*10 − 8) + 5 =? (10 + 7) ? ;
(20 − 8) + 5 =? 17 ?
12 + 5 =? 17 ? Yes!
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Best wishes in your academic pursuits!
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Answer:
I think is f(n) = 3 + 3(n - 1)
Step-by-step explanation:
Because it goes up 3 in price and 1 in gallons of gas
The simplified form of the expression is 729x^33
T = days passed
r = rate of growth
by 0 day, or t = 0, there are 2 folks sick,
by the third day, t = 3, there are 40 folks sick,
![\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\to &40\\ P=\textit{initial amount}\to &2\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\to &3\\ \end{cases} \\\\\\ 40=2(1+r)^3\implies 20=(1+r)^3\implies \sqrt[3]{20}=1+r \\\\\\ \sqrt[3]{20}-1=r\implies 1.7\approx r\qquad \boxed{A=2(2.7)^t}](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Ctextit%7BAmount%20for%20Exponential%20Growth%7D%0A%5C%5C%5C%5C%0AA%3DP%281%20%2B%20r%29%5Et%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0AA%3D%5Ctextit%7Baccumulated%20amount%7D%5Cto%20%2640%5C%5C%0AP%3D%5Ctextit%7Binitial%20amount%7D%5Cto%20%262%5C%5C%0Ar%3Drate%5Cto%20r%5C%25%5Cto%20%5Cfrac%7Br%7D%7B100%7D%5C%5C%0At%3D%5Ctextit%7Belapsed%20time%7D%5Cto%20%263%5C%5C%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0A40%3D2%281%2Br%29%5E3%5Cimplies%2020%3D%281%2Br%29%5E3%5Cimplies%20%5Csqrt%5B3%5D%7B20%7D%3D1%2Br%0A%5C%5C%5C%5C%5C%5C%0A%5Csqrt%5B3%5D%7B20%7D-1%3Dr%5Cimplies%201.7%5Capprox%20r%5Cqquad%20%5Cboxed%7BA%3D2%282.7%29%5Et%7D)
how many folks are there sick by t = 6?
