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dolphi86 [110]
4 years ago
10

Find the maximum value of the function f(x) = -x^2 + 3x +2

Mathematics
1 answer:
LenaWriter [7]4 years ago
8 0

Answer:

4.25

Step-by-step explanation:

-x^2 + 3x + 2 = 0

Divide by -1

X^2 -3x - 2 = 0

x^2-3x+ =2+2.25

(x-1.25)-4.25

(x-1.5)

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There are 482 studemts in the school and there are two Grade 4 classes: Ms.Ashley's and Mr.Ben's classes. Mrs. Aheley's class ha
Paraphin [41]

Answer:

<u>1.  45/482 of the students are in grade 4.</u>

<u>2.  5/9 of the students of the grade 4 are boys.</u>

<u>3. 7/15 of the grade 4 students are in Ms. Ashley's class</u>

<u>4. 3/4 of the students in Mr. Ben's class do not have siblings in the same school.</u>

<u>5. There are 14 students with glasses and 7 without glasses.</u>

Step-by-step explanation:

1. Let's review the information given to us for solving the questions:

Number of students in the school = 482

Ms. Ashley's Grade 4 class = 21 students

Ms. Ashley's Grade 4 class boys = 15 students

Ms. Ashley's Grade 4 class girls = 6 students

Ms. Ashley's Grade 4 class with glasses = 2/3 * 21 = 42/3 = 14 students

Mr. Ben's Grade 4 class = 24 students

Mr. Ben's Grade 4 class boys = 10 students

Mr. Ben's Grade 4 class girls = 14 students

Mr. Ben's Grade 4 class with siblings in the school = 1/4 * 24 = 24/4 = 6 students

2. Let's answer all the questions:

1. What fraction of the students in the school are in grade 4?

(Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)/ Number of students in the school

21 + 24 / 482 =<u> 45/482</u>

2. What fraction of the grade 4 students are boys?

(Ms. Ashley's Grade 4 boys + Mr. Ben's Grade 4 boys)/ (Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)

15 + 10 / 21 + 24

25 / 45 = <u>5/9</u>

3. What fraction of the grade 4 students are in Ms. Ashley's class?

Ms. Ashley's Grade 4 class / (Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)

21 / 21 + 24

21 / 45 = <u>7/15</u>

<u>4. What fraction of the students in Mr. Ben's class that do not have siblings in the same school?</u>

(Mr. Ben's Grade 4 class - Mr. Ben's Grade 4 class with siblings in the school)/ Mr. Ben's Grade 4 class

24 - 6 / 24

18 / 24 = <u>3/4</u>

<u>5. In Ms. Ashley's class, are there more students that wear glasses or do not wear glasses?</u>

<u>There are 14 students with glasses and 7 without glasses.</u>

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