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.
Answer:- The smaller integer is -5.
Explanation:-
Let the first consecutive integer be x and the second consecutive integer be x+1.
According to the given question:-
x+6(x+1)= -29
⇒x+6x+6= -29 [distributive law]
⇒x+6x= -29-6 [subtract 6 on the both sides]
⇒7x= -35 [combining like terms ]
⇒x= -5 [dividing 7 on both sides]
Thus the smaller integer =x= -5
larger integer =x+1= -5+1= -4
To find the total from the percent part you have, you divide the part by the percentage.
1.50÷0.05=30
The total is $30
The total the store charged, including sales tax, is $31.50.
Answer:
a. 1/2
b. 5/3
c. 0
d. undefined
Step-by-step explanation:
7 goes into 11 one time, which leaves you with 1 4/7.
