Answer:
7x + 6 = - 48
Step-by-step explanation:
Given
x +
= - 6
Multiply through by 8 ( the LCM of 8 and 4 ) to clear the fractions
7x + 6 = - 48 ← same equation without fractions
A computer is programmed to combine 60,000 points of data in such a way that with each iteration, there are half as many data po
ints as before. The number of data points after any number of iterations, x, can be modeled with the following function. 
Which statement compares the mathematical range and reasonable range of the function?
A. Both the mathematical and reasonable ranges are limited to real numbers greater than 0 and less than or equal to 262,144.
B. Both the mathematical and reasonable ranges are limited to whole numbers greater than 0 and less than or equal to 262,144.
C. The mathematical range is all real numbers greater than 0. The reasonable range is all real numbers greater than 0 and less than or equal to 262,144.
D. The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.
Which statement compares the mathematical range and reasonable range of the function?
A. Both the mathematical and reasonable ranges are limited to real numbers greater than 0 and less than or equal to 262,144.
B. Both the mathematical and reasonable ranges are limited to whole numbers greater than 0 and less than or equal to 262,144.
C. The mathematical range is all real numbers greater than 0. The reasonable range is all real numbers greater than 0 and less than or equal to 262,144.
D. The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.
1 answer:
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Answer:
The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.
Step-by-step explanation:
We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:
I can now cross-multiply by multiplying numerator and denominator from each ratio.
I now solve for y by dividing by 15.
The original price was $33.34.
Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.