Answer:
Axis of symmetry:
Vertex:
Step-by-step explanation:
The given quadratic equation is
By comparing to the general quadratic function;
We have a=4,b=5,c=-1
The equation of the axis of symmetry is given by the formula;
We got this formula by completing the square on the general quadratic function.
We substitute a=4 and b=5 to obtain;
is the axis of symmetry.
To find the y-value of the vertex, we put
into the function to obtain;
The vertex of the given function is
In an ordered pair, x is the first number and y is the second number. So this is telling you x=1 and y=-5. You can take this information and plug it into the formulas.
x + 2y = -9
1 + 2(-5) = -9
1 + -10 = -9? True
x - y = 6
1 - -5 = 6? *
1 + 5 = 6? True.
(*Subtracting a negative makes it a positive.)
Hey there!
Let's think of both of these functions as two different slope-intercept equations (y=mx+b). Don't let all of the fs and gs confuse you; those are just showing that they are two different functions!
Our function f has an equation of y=x, which is a diagonal line that passes through the origin and goes across each small grid on the graph diagonally.
Our function g has an equation of y=-1/3x+2, which means that it will intersect with the y-axis at two units above the origin and for every three whole steps it goes to the right, it will have gradually gone down one whole step as well.
Attached to my answer is what a graph of it would kind of look like. Sorry if the lines don't look too much like a line it's a bit difficult to draw with a mouse haha!
I hope that this helps! Have a wonderful day!
The price after the 25% would be $15
Or it will be $45 off
Answer:
1440 m³
1200 m³
Step-by-step explanation:
A local aquarium purchased a new turtle tank for their giant turtle exhibit.
If the dimensions of the tank are 15 m by 12 m by 8 m and the tank is of a cuboid shape and its volume is given by, V = (Length) × (Width) × (Height), then the volume of the tank will be
V = 15 × 12 × 8 = 1440 m³.
Again, if the dimensions of the tank are 15 m by 8 m by 10 m, then its volume will be
V = 15 × 8 × 10 = 1200 m³ (Answer)
