Answer and Step-by-step explanation: <u>Standard</u> <u>form</u> of a quadratic equation is expressed as: y=ax²+bx+c, while <u>vertex</u> <u>form</u> is written as:
y=a(x-h)²+k.
The similarities between standard and vertex forms is that they show if the graph of the equation has a <u>minimum</u> (when a>0) or <u>maximum</u> (a<0) and it's easier to determine the y-intercept: for standard, the value of c is the intercept; for vertex, the value k is the intercept.
The advantage of standard form is that you can determine the product and sum of the equation's roots, which is a method to determine them.
The advantages of vertex form are: easier to find the vertex of the graph, which is the pair (h,k) and the axis of symmetry, which is the value of h.
He could have 30 dimes and 13 quartars
Answer:
9
-3x-12
9
+6x-7-9x-5
(Group liked terms)
9
+6x-9x-7-5
( subtract the numbers ) -7-5= -12
9
+6x-9x-12
( add similar elements ) 6x-9x=-3x
9
-3x-12
Step-by-step explanation:
Answer:
If a line is parallel to another line, the slopes of both lines are the same. So far the equation would be, y=7/6x+b. To find the value of b, you substitute the given point into the equation. -2=7/6(-1)+b, -2=-7/6+b, b=-5/6. So the equation of the line is y=7/6x-5/6.
:)
Answer:
Step-by-step explanation:
x=2,x-2=0
x=8
x-8=0
y=(x-2)(x-8)=x²-2x-8x+16=x²-10x+16
=x²-10x+25-25+16
=x²-10x+25-9
y=(x-5)²+9
axis of symmetry is x-5=0 or x=5