The expression to find the number of notebooks James bought would be written as:
Number of notebooks = total spent / cost per item
Number of notebooks = (2y^2 + 6) / <span>(y^2 − 1)
</span><span>If y = 3, then the number of notebooks bought would be:
</span>Number of notebooks = (2y^2 + 6) / (y^2 − 1)
Number of notebooks = (2(3)^2 + 6) / (3^2 − 1)
Number of notebooks = 3 pieces<span>
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Answer:
the slope would be -1/2.
Step-by-step explanation:
Answer:
C: 
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
Answer:
1. you start with $ 3 and save $1 each month
2. your total savings is 3 times the number of month multiplied by itself
3. you save $3 the first month and then each month the amount triples
Step-by-step explanation:
1.
as y axis represents savings while x axis represents months
the statement "you start with $ 3 and save $1 each month"
is best described by the graph of straight line having slope of 1 and intercept of 3.
2. your total savings is 3 times the number of month multiplied by itself
= 3(x)(x)
= 3x^2
3. as y axis represents savings while x axis represents months
the statement "you save $3 the first month and then each month the amount triples" is best described by the exponential graph starting to rise from point (1,3) which means $3 save at 1 month.
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Answer:
40 minutes
Step-by-step explanation:
We simply want to find the least common multiple (lcm) of the two times (5 and 8). Which is 40 minutes
For a more visual representation every 5 minutes Georgia will cross the starting line while it will take Susana 8 minutes to cross after starting at the same time.
So Georgia will cross at (5, 10, 15, 20, 25, 30, 35, 40) minutes
While Susana will cross at (8, 16, 24, 32, 40) minutes