1
What determines if the graph is pointed down?
negative sign.
The term in the equation that does not contain any variables
Constant
5x+3<38
X>3
2-x=(x+3)(2x-4)
2x²+3x-14
X(x-8)=10
X²-8x-10=0
What is the standard quadratic function?
ax^2+bx+c
x(x+2)=72
X²+2x-72=0
1/2 - 3x <= 3/4 +x
X> -1/16
X(3x-4)=60
3x²-4x-60=0
x/2 + 1 = 3x2/5
6x2-5x-10=0
[ x(x - 200) - 100(x - 200) =0
[ x^2 - 200x - 100x + 20000 = 0 ]
[ x^2 - 300x + 20000 = 0 ]
x(8 - x) = 15
-x^2 + 8x - 15 = 0
Determine if this equation is quadratic equations
Yes or no explain briefly
1/x + 6x - 8 = 0
Yes.. because the highest power is x²
When you multiply x to get rid of the fraction
The symbol, usually a letter, that represents an unknown number is called a ____?
What is a variable?
1/x +6-8=0
6x²-8x+1=0
x(x + 4) = 45
x^2 + 4x - 45 = 0
x^2 + (x + 1)^2 = 41
x^2 + x^2 + 2x + 1 = 41
2x^2 + 2x + 1 - 41 = 0
2x^2 + 2x - 40 = 0
X²+x-20=0
(x - 2)(x - 6) = -3?
X²-8x+15=0
3x+5/4 >= 8
X>= 9
2/5(x+4)=3x²-2x
15x²-12x-8=0
A rectangle has an area of 72 square meters, and its length is 2 meters more than its width. Find the dimensions of the rectangle
Formulation:
Let the width be ( x ) meters.
The length is ( x + 2 ) meters.
The area equation is: [ x(x + 2) = 72 ]
Expand: [ x^2 + 2x = 72 ]
Rearrange to standard form: [ x^2 + 2x - 72 = 0 ]
The side length of a square is increased by 3 meters, and the new area is 64 square meters. Find the original side length of the square.
Let the original side length be ( x ) meters. The new side length is ( x + 3 ) meters. The area of the square is given by: (x + 3)^2 = 64
x^2 + 6x + 9 = 64
x^2 + 6x + 9 - 64 = 0
x^2 + 6x - 55 = 0
Ana spends \(10(4x+7)\) Baht to buy \((x+4)\) kg of watermelons. The watermelons cost \(6x\) Baht per kg. Form a quadratic equation in terms of \(x\).
6x^2 - 16x - 70 = 0
-x/4 <= -9
x >= 36
There are two numbers. The first number is 5 more than three times the second number. The product of the two numbers is 22.
3x²+5x-22=0