1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
irga5000 [103]
3 years ago
6

What does the constant of the polynomial expression 14x squared plus 37x plus 5 represent?

Mathematics
1 answer:
snow_lady [41]3 years ago
5 0
<span>14x squared plus 37x plus 5 => 14x^2 + 37x + 5

Think of the most basic parabola:  y=x^2.  This curve opens up and has its vertex at (0,0).  Adding 5 to y=x^2 shifts the entire graph upward by 5 units; we call this "vertical translation."  Going back to y = </span>14x^2 + 37x + 5, we can easily conclude that 5 also results in vertical translation of the graph of y=14x^2 + 37x.  Whether or not the function y = 14x^2 + 37x + k has real roots or not depends upon the value of the constant k and can most easily be determined by calculating the discriminant b^2-4ac.

Here a=14, b=37 and c=5.

The discriminant is 37^2-4(14)(5) = 1089.  Because this is positive, the function has 2 real, unequal roots.  If we were to use some constant other than 5, then the discriminant would be 37^2-4(14)(k).  Set this equal to 0 and solve for k:  37^2/(4*14) = k, so that k = 24.45.  At this value of k, the function would have 2 real, equal roots.  If we pick a value for k such that the discriminant is negative, then the function would have 2 complex roots.
You might be interested in
Bryan has 24 toy cars. Jason has 12 toy cars. What is the ratio of Jason’s toy cars to Bryan’s toy cars?
sergij07 [2.7K]
12/24 = 1/2
answer is 1/2
3 0
3 years ago
6+2 divided by 15 (76 x 100)= ??
larisa [96]

Answer:

Step-by-step explanation:

We have to use PEMDAS

P is parentheses so we turn it to 6 + 2 divided by 15(7600)

E is for exponents but we don't have any

M is for multiplication and we have that so its 6 + 2 divided by 114000

D is for division so now its 6 + 1.754

A is for addition so 7.75400

5 0
3 years ago
Read 2 more answers
Find each product mentally 56×10³
jekas [21]
56000 is the answer because 10 to the third power is 1000. and 1000×56 is 56000
3 0
3 years ago
WILL GIVE BRAINLIEST IF YOU HELP ME
Nady [450]
The answer to your question is 1 and 1/2
4 0
3 years ago
What is the slope of the line shown?
IceJOKER [234]
It’s 2 because it starts at 6 and the next time the line meets a point is at (4,-1) you go down one and over two and you put x/y so it’s 2/1 which is 2. I think that’s right
5 0
3 years ago
Other questions:
  • Talia has 162 pictures to put in photo album if she wants only four pages which Colour albums could she use
    8·1 answer
  • Question 1 (1 point)<br> Evaluate if t=-2, x=3 and z=5<br> 4z + 3x -t
    13·1 answer
  • Evaluate ƒ(–3) for ƒ(x) = –5x2 + 2x –1.
    6·1 answer
  • Jamal is 167 cm tall. Which expression finds Jamal’s height in dekameters?
    11·2 answers
  • What is the interquartile range of this data?
    14·2 answers
  • a supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combi
    7·1 answer
  • Help me with this please.
    8·2 answers
  • If c = 25 and B = 50 degrees, find a.
    15·2 answers
  • Suppose a household’s income increases from $2500 to $3000 and quantity demanded changes from 190 to 150. What is the income ela
    10·1 answer
  • There are 26 students in William's math class. The mean height of the students is 160 cm, and the median height is 156 cm. The i
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!