Not register? Register Now!
Essay Available:
You are here:
Pages:
5 pages/≈1375 words
Sources:
3 Sources
Level:
APA
Subject:
Mathematics & Economics
Type:
Math Problem
Language:
English (U.K.)
Document:
MS Word
Date:
Total cost:
\$ 18
Topic:

# Quadratic Functions and the Substitution Method (Math Problem Sample)

Instructions:

1:FIND THE VALUE OF A, B,C. WHERE a=b-1 and=b+1 and b=b
2:. Draw the graph of y=x^2+x-3 for -3≤x≤2
3: SOLVE THE SIMULTANEOUS EQUATIONS
3x2-5xy+2y2=33
4x-3y=14

source..
Content:

Mathematic Assignment 0004
Student’s Name:
Institution Affiliated:
Date:
Let the sides of the triangle be a,b,c
a=b-1 and=b+1 and b=b
r=△s=ss-as-bs-cs=4
s=3b2
b2+1b2b2-13b2=4
Square both side
b2+1b2b2-13b2=16
Simplify the equation
b+22b2b-223b2
(b2-4)b=192b
Which implies that b3-4b=192b
Which implies that b3=196b
Divide both side by b ,
b2=196 which implies that b=14
Then a=13 ,b=14 ,c=15
Rewrite the equation x2+x-3=0 as quadratic function y=x2+x-3 . Draw the graph of y=x2+x-3 for -3≤x≤2
x

-3

-2

-1

0

1

2

y

3

-1

-3

-3

-1

3

The solution for the equation y=x2+x-3 can be obtained by looking at the points where the graph y=x2+x-3 cuts the x-axis.
The graphy=x2+x-3, cuts they -axis at x  1.3 and x  –2.3
So, the solution for the equation x2+x-3 is x  1.3 or x  –2.3.
Solve the simultaneous equation by substitution method.
Get the values of y. Then, the values of x.
3x2-5xy+2y2=33………. i
4x-3y=14……………. ii
Make x to be the subject of the formular using equation (ii)
x=14+3y4
Substitute x to equation (i) above.
3(14+3y4)-5(14+3y4)y+2y2=33
Multiply both sides by 4
42+9y-70-15y+8y2=165
After substituting, the equation becomes
8y2-6y-193
Find the value of y using quadratic formula.
y=6±62+4×8×1932×8
It follows that y is eq

...
Get the Whole Paper!
Not exactly what you need?
Do you need a custom essay? Order right now:

### Other Topics:

• Solving Mathematical Word Problems Involving Speed
Description: Vivian and Noelle both leave the park at the same time, but in opposite directions. If Noelle travels 5 mph faster than Vivian and after 8 hours, they are 136 miles apart, how fast in mile per hour is each traveling? * The speed of Noelle would be: x mph * Then the speed of Vivian would be: x-5 mph * ...
1 page/≈275 words| 1 Source | APA | Mathematics & Economics | Math Problem |
• ADHD and School Performance in Children. Math Problem.
Description: Attention deficit hyperactivity disorder, ADHD, makes learning difficult through loss of focus. The learners feel a constant need for movement, their thoughts drift and they have difficulty filtering their thoughts....
1 page/≈275 words| No Sources | APA | Mathematics & Economics | Math Problem |
• Differential Equations Mathematics & Economics Math Problem
Description: 1 u''+u'+2u= sin2t The auxiliary equation is r2+r+2=0 Using the general formula x=-b±b2-4ac2a a = 1, b = 1, c = 2 x=-1±12-4(1)22(1) x=-1±1-82 x=-1±1-82 x=-1±-72 x=-1+-72 or -1--72 ∴If the roots are complex numbers, i.e r1= α+iβ , r2= α-iβ Where α, β are real numbers, from the solution we have....
17 pages/≈4675 words| No Sources | APA | Mathematics & Economics | Math Problem |
Need a Custom Essay Written?
First time 15% Discount!