ఈ క్రింది విధంగా వివరణ: 25% 6.5% 35% కీ వివరణతో: ఇన్వాయిస్ ఇచ్చినప్పుడు: జీన్స్ కోసం బిల్ 39.99; డిస్కౌంట్ - 10.00; సబ్టోటల్ 29.99; నగదు పన్ను 1.95; మొత్తం 31.94. A) % డిస్కౌంట్ దగ్గరికి % క్రితం క్రింది అంచనా మార్క్; డిస్కౌంట్ మొత్తం = % డిస్కౌంట్ * ధర; 10 = x% * 39.99; 10/39.99 = x%; 0.2500625 = x%; x = 0.2500625 * 100%; % డిస్కౌంట్ = 25% % నగదు పన్ను; నగదు పన్ను మొత్తం = % పన్ను * సబ్టోటల్; 1.95 = x% * 29.99; 1.95/29.99 = x%; 0.06502 = x%; x = 0.06502 * 100%; x = 6.5%; డిస్కౌంట్ కంటే ముందు మార్కప్ = 60%; డిస్కౌంట్ తరువాత మార్కప్ = (60 - 25)% = 35%.
Answer:
Sarah purchased 2 drinks and 6 candies.
Step-by-step explanation:
Let
x ----> the quantity of drinks Sarah bought.
y ----> the number of candies acquired by Sarah.
We know that
the total spent on drinks and candies was $35.50
therefore,
-----> equation A
She bought 3 times more candies compared to drinks.
thus,
-----> equation B
To resolve the equations graphically
The solution lies at the intersection of the two graphs
utilizing a graphing tool
The result is the coordinate (2,6)
therefore,
Sarah bought 2 drinks and 6 candies.
This is due to the distinct properties of logarithms in comparison to algebra. The expression log(3x - 1) is interpreted as log 3x divided by log 1. If we proceed with rearranging and solving for x, we arrive at: log(3x - 1) = log28, log 3x/log 1 = log 28, resulting in log 3x being equal to log 28 multiplied by log 1 which equals 0. Thus, 3x = 10⁰ = 1, leading to 3x = 1 and x = 1/3. Therefore, it follows that 3x - 1 equals 3(1/3) - 1 = 0.
Answer:
Each of the 4 arrangements will produce a rectangle.
Explanation:
Transforming a rectangle through rotation or translation will not alter its rectangular shape. This principle also applies when reflecting it across any axis. Thus, every sequence among the four provided will result in a rectangle.
An even function can be reflected over the y-axis and still remain unchanged.
Example: y=x^2
On the other hand, an odd function can be reflected around the origin and also remains unchanged.
Example: y=x^3
A straightforward method to determine this is:
if f(x) is even, then f(-x)=f(x)
if f(x) is odd, then f(-x)=-f(x)
Hence, for an even function
substitute -x in for each and check for equivalence
make sure to fully expand the expressions
g(x)=(x-1)^2+1=x^2-2x+1+1=x^2-2x+2 is the original expression
g(x)=(x-1)^2+1
g(-x)=(-x-1)^2+1
g(-x)=(1)(x+1)^2+1
g(-x)=x^2+2x+1+1
g(-x)=x^2+2x+2
Not the same, as the original contains -2x
Therefore, it is not even
g(x)=2x^2+1
g(-x)=2(-x)^2+1
g(-x)=2x^2+1
It matches, hence it is even
g(x)=4x+2
g(-x)=4(-x)+2
g(-x)=-4x+2
Not equivalent, thus not even
g(x)=2x
g(-x)=2(-x)
g(-x)=-2x
Not equal, therefore not even
g(x)=2x²+1 is the confirmed even function.
