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bezimeni [28]
3 years ago
7

Ms. Howard wrote a test. Part A had true/false questions, each worth points. Part B had multiple choice questions, each worth po

ints. She made the number of points for Part A equal the number of points for Part B. It was the least number of points for which this was possible.

Mathematics
1 answer:
harina [27]3 years ago
5 0

Full question attached

Answer and explanation:

Since x = number of true or false questions correct

And y = number of multiple choice questions correct

And each question for x =2 points

each question for y=3 points

since she then needs a total score of more than 93 to pass, we add up total correct questions and

Inequality equation = 2x +3y >93

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Leya [2.2K]

Answer:

It is a linear function because there is a constant rate of change in both the input and output values

Step-by-step explanation:

To determine if the function is linear, calculate the differences between the y values.

If the differences are constant, or the same value, the equation is linear and has a constant slope. If the differences are not the same, the equation is not linear.

<u>difference between y values (output)</u>

7 - 4 = 3

3 - 1 = 3

1 - -2 = 3

⇒ the function is linear

<u>difference between x values (input)</u>

-2 - -5 = 3

-5 - -8 = 3

-8 - -11 = 3

⇒ the function is linear as there is a constant rate of change in both the input and output values

5 0
2 years ago
For how many integers $n$ is it true that $\sqrt{n} \le \sqrt{4n - 6} &lt; \sqrt{2n + 5}$?
ale4655 [162]

\bf \sqrt{n}\leqslant \sqrt{4n-6}

\bf \sqrt{n}< \sqrt{2n+5}\implies \stackrel{\textit{squaring both sides}}{n< 2n+5}\implies 0\leqslant 2n - n + 5 \\\\\\ 0 < n+5\implies \boxed{-5 < n} \\\\\\ \stackrel{-5\leqslant n < 2}{\boxed{-5}\rule[0.35em]{10em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}2}


namely, -5, -4, -3, -2, -1, 0, 1.  Excluding "2" because n < 2.

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If lemonade costs 0.52 per quart what is the cost per pint?
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Answer:

0.125

Step-by-step explanation:

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Period of f(t)= -2cos(3t)
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Answer:

Period=2pi/3

Step-by-step explanation:

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