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BARSIC [14]
3 years ago
7

The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of

the prism? (Show all steps.)
Mathematics
1 answer:
EastWind [94]3 years ago
8 0
If s is the side of the square base, the area of the square base is s^2.
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² =  3n³ + 13n² + 16n + 4 / <span>3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
</span>s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4

Therefore, the area of the square base is <span>n² + 4n + 4.</span>
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Step-by-step explanation:

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3 years ago
Concert tickets cost $15 for general admission, but only $9 with a student ID. Ticket sales total $450. Write and graph an equat
aliina [53]

The equation that models the situation is 15x + 9y = 450

The x-intercept is (30, 0) and the y-intercept is (0, 50)

Given the following parameters:

  • Cost of concert tickets for general admission= $15
  • Cost of a ticket for those with student ID = $9

Given that the total sales is $450, the equation that models this situation will be expressed as:

  • 15x + 9y = 450

where:

x is the those that admitted generally

y are those with student ID

<u />

<u>Get the x-intercept.</u>

This is a point where the y-axis is zero

15x + 9y = 450

15x + 9(0) = 450

15x = 450

x = 450/15

x = 30

Thee x-intercept is (30, 0)

<u>Get the y-intercept.</u>

This is a point where the x-axis is zero

15(0) + 9y = 450

0 + 9y = 450

9y = 450

y = 450/9

x = 50

The y-intercept is (0, 50)

Learn more on intercepts here: brainly.com/question/24212383

7 0
2 years ago
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