On her first three 5-point math quizzes, Ami’s scores were 4,3, and 5. She will take 3 more quizzes this semester. What three sc
1 answer:
On her first three 5-point math quizzes, Ami’s scores were 4,3, and 5. She will take 3 more quizzes this semester. What three scores would give her an average that is a whole number? A repeating decimal?
Answer: The three scores 2, 5, and 5 would give her an average that is a whole number.
The three scores 5, 5, and 3 would give her an average that is a repeating decimal
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Start by looking at the vertex form of a quadratic function, f(x) = a(x - h)^2 + k. The variables h and k are the values of the vertex. Plug those in to get f(x) = a(x - 4)^2 + 5. To find the variable a, plug in the point given for the x and y values. So, you get (21) = a((8) - 4)^2 + 5. Solve for a algebraically, and you get a = 1. Finally, plug everything in and simplify the equation. You should get that the quadratic function is f(x) = x^2 - 8x + 21. Hope this helps!
Euclid's division lemma : Let a and b are two positive integers. There exist unique integers q and r such that
a = bq + r, 0 r < b
Or We can write it as,
Dividend = Divisor × Quotient + Remainder
<u>Work</u><u> </u><u>out</u><u>:</u>
Given integers are 240 and 228. Clearly 240 > 228. Applying Euclid's division lemma to 240 and 228,
⇛ 240 = 228 × 1 + 12
Since, the remainder 12 ≠ 0. So, we apply the division dilemma to the division 228 and remainder 12,
⇛ 228 = 12 × 19 + 0
The remainder at this stage is 0. So, the divider at this stage or the remainder at the previous age i.e 12
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