The answer is: " x = 5 " .
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Note the following:
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2/4 = 1/2 ;
1/2 = (1*5) / (2*5) = 5/10 ;
2/4 = 1/2 = 5 / 10 .
or: 2/4 = 1/2 = 0.5 = 5/ 10 .
The answer: " x = 5 " .
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Or: x/ 10 = 2/4 ;
Cross-multiply:
4x = (2)(10) ;
4x = 20 ;
Divide each side by "4" ;
4x / 4 = 20/4 ;
" x = 5 " ;
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Or: x/10 = 2/4 ;
Note: "2/4 = 1/2" ; so rewrite as:
x/10 = 1/2 ; and cross-multiply:
2x = (10)(1) ;
2x = 10 ;
Divide each side of the equation by "2" ;
2x / 2 = 10 / 2 ;
" x = 5 " .
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Answer:
it's (3,-1) and this has to be 20 characters so yeah
Answer:
The correct answer is option D: ![y = 10^{3.994}](https://tex.z-dn.net/?f=y%20%3D%2010%5E%7B3.994%7D)
Step-by-step explanation:
Given:
log(y)= 3.994
Solution:
A logarithm base b of a positive number x satisfies the following definition:
![y =log_b(x) => b^y =x](https://tex.z-dn.net/?f=y%20%3Dlog_b%28x%29%20%3D%3E%20b%5Ey%20%3Dx)
For ![x > 0, b >0, b \neq 1](https://tex.z-dn.net/?f=x%20%3E%200%2C%20b%20%3E0%2C%20b%20%5Cneq%201)
Also if no base b is indicated, the base of the logarithm is assumed to be 10
.
Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10
now
![log_{10}(y)= 3.994](https://tex.z-dn.net/?f=log_%7B10%7D%28y%29%3D%203.994)
Then
![y = 10^{3.994}](https://tex.z-dn.net/?f=y%20%3D%2010%5E%7B3.994%7D)
The first inequality: y≤-x+6. the graph is a solid line that goes through (0,6) and (6,0) with the shaded area under the line. All the points are in the shaded area.
the second inequality: y>x+4, the graph is a dotted line going through (0,4) and (-4,0) with the shaded area above the line. Only D and E are in the shaded area.
so only D and E satisfy both inequality.
To verify if D and E are solutions, plug the coordinates of D (-4,2) and E (-1,5) in the inequality to see if they will make both inequalities true.
is 2 smaller or equal to -(-4)+6? yes, 2 is smaller than 10
is 2 larger than (-4)+4? yes, 2 is larger than 0.
Do the same with coordinates of E.
Part C: graph the inequality. the dotted line goes through (0,-4), (1,-1), and the shaded part is above (to the left of) the line. You'll see that A, D, E, F are in the shaded area, suitable for raising chicken.
Sales tax is $1.92. The tip he will give is $ 7.20. In total he will pay $33.12