100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
QMI1500 Assignment 02 Semester 01 2022 Solutions incl calculator steps R50,00   Add to cart
Quickly navigate to
Preview
  2.  
  3. University Of South Africa (Unisa)
  4.  
  5. QMI1500 - Elementary Quantitative Methods (QMI1500)

Other

QMI1500 Assignment 02 Semester 01 2022 Solutions incl calculator steps
 33 views  1 purchase

This document includes the questions, answers, and workings. (Including Sharp & HP calculator steps where applicable.

Preview 2 out of 41  pages

Document information

  • March 2, 2022
  • 41
  • 2021/2022
  • Other
  • Unknown

Subjects

Written for

All documents for this subject (193)

Seller

avatar-seller
aj107

Reviews received

Content preview

QMI1500
Elementary Quantitative Methods
Department of Decision Sciences
Assignment 02 for Semester 01 2022 (compulsory)
Unique Number: 746467
DUE DATE: 14 March 2022




Important:

• This is a multiple-choice assignment that must be answered and submitted ONLINE.
• Always keep your detailed workings in a file to be able to compare your solutions to the ones
that will be published on the QMI1500 module site after the due date. Also, keep a copy of
the options you have chosen, in case of a query.
• The due date of this assignment is fixed. No extension can be granted because the solutions
will be posted on the QMI1500 module site shortly after the closing date.

Question 1

The equations of three quadratic functions are given below:

(i) 𝑦 = 2𝑥 2 + 12𝑥 + 18
(ii) 𝑦 = −3𝑥 2 − 5𝑥 + 3
(iii) 𝑦 = 𝑥 2 + 2𝑥 − 5

Determine the discriminant of each function and the number of x-intercepts that the parabola
has. Choose the correct sentence. The function described in

[1] (i) has no discriminant and the parabola has no 𝑥-intercepts
[2] (ii) has a negative discriminant and the parabola has two 𝑥-intercepts
[3] (i) has a zero discriminant and the parabola has one 𝑥-intercept
[4] (iii) has a positive discriminant and the parabola has one 𝑥-intercept

, Answer:

(i) 𝒚 = 𝟐𝒙𝟐 + 𝟏𝟐𝒙 + 𝟏𝟖

The discriminant of a quadratic is the expression inside the radical of the quadratic
formula.
𝑏 2 − 4(𝑎𝑐)
Substitute in the values of 𝑎, 𝑏, and 𝑐.
122 − 4(2 × 18)
Evaluate the result to find the discriminant.
Simplify each term.
Raise 12 to the power of 2.
144 − 4(2 × 18)
Multiply 2 by 18.
144 − 4 × 36
Multiply −4 by 36.
144 − 144
Subtract 144 from 144.
∆= 0
(One 𝑥-intercept)
(ii) 𝒚 = −𝟑𝒙𝟐 − 𝟓𝒙 + 𝟑
The discriminant of a quadratic is the expression inside the radical of the quadratic
formula.
𝑏 2 − 4(𝑎𝑐)
Substitute in the values of 𝑎, 𝑏, and 𝑐.
(−5)2 − 4(−3 × 3)
Evaluate the result to find the discriminant.
Simplify each term.
Raise −5 to the power of 2.

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through EFT, credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying this summary from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller aj107. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy this summary for R50,00. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

75632 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy summaries for 14 years now

Start selling
R50,00  1x  sold
  • (0)
  Buy now