Remember the shortcut way for graphing quadratic equations
- A quadratic function has graph as parabola
- Hence on both sides of vertex the parabola is symmetric and axis of symmetry is vertex x values .
- y on both sides for -x and +x is same
#1
Vertex
As a is positive parabola facing upwards
Find y for same x distance from vertex
I took 3-1=2 and 3+1=4
- f(2)=2(2-3)²-1=2(-1)²-1=2-1=1
- f(4)=2(4-3)²-1=1
Now plot vertex and these two points (2,1) and (4,1) on graph then draw a parabola by freehand
#2
- y=(x-2)(x+4)
- y=x²+4x-2x-8
- y=x²+2x-8
Convert to vertex form
Vertex at (-1,-9)
Same take two equidistant x values
Let's take -1-1=-2 and -1+1 =0
- f(-2)=(-2+1)²-9=1-9=-8
- f(0)=(1)²-9=-8
Put (-1,-9),(-2,-8),(0,-8) on graph and draw a freehand parabola
#3.
Yes it can be verified by finding the coordinate theoretically on putting them on function then can be verified through putting them on graph whether they matches or not
Since you have to mix all of it together, the whole cocktail is 20+10+15=45.
And the portion that is coconut milk is 15ml. So that means there is 15 out of 45 or 15/45 coconut milk in the cocktail. Then the simpelest form is 1/3.
Answer:
5 bags
Step-by-step explanation:
The volume of the tub is the product of its dimensions:
V = (1.8 m)(0.5 m)(0.25 m) = 0.225 m³
There are 1000 L in 1 m³, so this volume in liters is ...
(0.225 m³)(1000 L/m³) = 225 L
At 50 L per bag, the gardener needs ...
(225 L)/(50 L/bag) = 4.5 bags
The gardener probably cannot purchase a partial bag, so must buy more than is needed.
The gardener must buy 5 bags of compost to fill the tub.
Answer:
The quadrilateral is a trapezium as two of its opposite sides are perpendicular to one side. Rectangle is also a type of trapezium and so is a square
Hope this helps!