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.
James runs 1 mile every 2 min. How many miles does he run every 3 mins?
Answer:
Step-by-step explanation:
A polynomial written in decreasing order of the degree of its monomials ( or single term ) is called its standard form,
In polynomial,
,
Degrees are written in increasing order,
⇒ It is not written in standard form,
In polynomial,
,
Degrees are written in decreasing order,
⇒ It is written in standard form,
In polynomial,
,
There is no order of degrees,
⇒ It is not written in standard form,
In polynomial,
,
There is no order of degrees,
⇒ It is not written in standard form,
Answer:
They can invite 136 while staying in budget
Step-by-step explanation:
Firstly, you know they will have to pay an $80 cleaning fee, therefore, you can subtract 80 from 5,000:
5,000-80 = 4,920
After doing this, you can take 4,920 and divide it by 36 (the price per person).
4,920/36 = 136.67
Because you can not have .67 of a person, your closest number you can use is 136.
leaving them with $24
Answer:
3
Step-by-step explanation:
Given
15 gold ribbons
22 blue ribbons
53 red ribbons
Total of 53 + 22 + 15 = 90 ribbons
Total number of students = 12 boys + 18 girls = 30 students.
If evenly divided, each student will have 90/30 = 3 ribbons
The expression to solve would basically be the amalgamation of what we did above:
(53 + 22 + 15)/(12+18)
