Answer:the answer is b
Step-by-step explanation:
The dependent variable depends on the independent do depending on how many bags you buy, the price changes so for 5 bags the price is $15 and for 10 bags the price is $30
Answer: x = 8
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I'm going to use the notation log(2,x) to indicate "log base 2 of x". The first number is the base while the second is the expression inside the log (aka the argument of the log)
log(2,x) + log(2,(x-6)) = 4
log(2,x*(x-6)) = 4
x*(x-6) = 2^4
x*(x-6) = 16
x^2-6x = 16
x^2-6x-16 = 0
(x-8)(x+2) = 0
x-8 = 0 or x+2 = 0
x = 8 or x = -2
Recall that the domain of log(x) is x > 0. So x = -2 is not allowed. The same applies to log(2,x) as well.
Only x = 8 is a proper solution.
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You can use the change of base rule to check your work
log base 2 of x = log(2,x) = log(x)/log(2)
log(2,(x-6)) = log(x-6)/log(2)
So,
(log(x)/log(2)) + (log(x-6)/log(2)) = 4
(log(8)/log(2)) + (log(8-6)/log(2)) = 4
(log(8)/log(2)) + (log(2)/log(2)) = 4
(log(2^3)/log(2)) + (log(2)/log(2)) = 4
(3*log(2)/log(2)) + (log(2)/log(2)) = 4
3+1 = 4
4 = 4
The answer is confirmed
Answer:
262
Step-by-step explanation:
From the Question, we know that:
In a certain town there were 403 robberies last year. This year the number of robberies has gone down 35%.
Step 1
Find the amount decreased
35% × 403
= 35/100 × 403
= 141.05
Step 2
The amount of robberies this year is:
= 403 - 141.05
= 261.95
Approximately to the nearest whole number = 262
we know that
A quadratic equation is a polynomial with an order of two. Its general form is
case a) 
<u>The case a) is a quadratic equation</u>
case b) 
<u>The case b) is a grade 
polynomial</u>
case c) 
<u>The case c) is a grade 
polynomial</u>
case d) 
<u>The case d) is a grade 
polynomial</u>
therefore
the answer is
