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kozerog [31]
1 year ago
8

THIS IS ALGEBRA 2 CAN ANYONE SOLVE IT FOR ME?

Mathematics
1 answer:
Katen [24]1 year ago
7 0

Answer:

(a)  128 ft

(b)  4 s

(c)  Vertex:  (1, 144)

Step-by-step explanation:

Given information:

  • h(t) = height in feet
  • t = time in seconds after the launch

<h3><u>Part (a)</u></h3>

The height of the projectile at launch is the value of h(t) when t = 0 (the y-intercept).

Therefore, from inspection of the graph, the y-intercept is (0, 128).

So the <u>height of the projectile at launch is 128 ft</u>.

<h3><u>Part (b)</u></h3>

The length of time it took for the projectile to land is the time from the beginning (when t = 0) to when the height is 0 (the x-intercept).  

From inspection of the graph, the x-intercept is (4, 0)

So the <u>length of time it took for the projectile to land is 4 s</u>.

<h3><u>Part (c)</u></h3>

The vertex is the turning point (minimum/maximum point).

Therefore, from inspection of the graph, the <u>vertex is (1, 144)</u>.

The vertex represents the time and height at which the projectile was at its maximum.  So at the time of 1 second, the projectile was at its maximum height of 144 ft.

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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>

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Step-by-step explanation:

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

Number of students in the school = 482

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

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

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

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

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

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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>

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<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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