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son4ous [18]
3 years ago
8

An ice cream shop offers the toppings below. How many 4-topping ice cream sundaes can you make?

Mathematics
1 answer:
marishachu [46]3 years ago
8 0
Combinations of 7 taken 4 at a time. 
C (7,4)  = 7!  /[  4!(3!)]
7 x 6 x 5 = 210 
210 divided by 3 = 70 
70 divided by 2 = 35
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Determine the vertical asymptote for the rational function f(x) = x - 4 over 2x - 3
k0ka [10]

Answer:

x = \frac{3}{2}

Step-by-step explanation:

Given

f(x) = \frac{x-4}{2x-3}

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

Thus x = \frac{3}{2} is the vertical asymptote

5 0
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In Bobby’s school, math grades for the year are calculated from assignments, tests and a final exam. Assignments count 30%, test
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Answer:

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To solve this problem we must calculate the percentages each grade represents from the overall grade. Therefore:

assignment = 85*30% = 85*30/100 = 25.5%

tests = 72*20% = 72*20/100 = 14.4%

exam = 61*50% = 61*50/100 = 30.5%

total = assignment + tests  + exam

total = 25.5 + 14.4 + 30.5 = 70.4

Bobby's overall grade is 70.4%. Therefore the correct answer is A).

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