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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.
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Can someone please help me? the question is in the picture. Thank you
MA_775_DIABLO [31]

Answer:

A and E

Step-by-step explanation:

A is true because two congruent chords  have the two corresponding  (in this  specific case small)  arc that are congruent

B we haven’t enough information to say it, same of C and D

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5 0
3 years ago
Which ordered pairs are solutions to the inequality y−3x&lt;−8? Select each correct
Anarel [89]
I'm really sorry, I'm not the best at this, but I did all the equations the best to my knowledge and came up with these 3 answers
(2,-1) which equaled -7
(5,4) which equaled -11
and (0,-9) which equaled - 9
Again I'm really sorry if this didn't work. :( God bless and good luck with future lessons.
3 0
3 years ago
3x + 8 = -x + 20 What is x?
g100num [7]
First, lets take all the x values on one side.

3x + x + 8 = -x + x + 20
4x + 8 = 20

Now, lets put the numbers on the other side.

4x + 8 - 8 = 20 - 8
4x = 12
x = 3

Hope this helps!
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5 0
3 years ago
Read 2 more answers
Of the students at I.S. 59, 230 signed up for the school picnic. That was 50% of all students in the school. How many students a
Nastasia [14]

Answer: 460 students

Step-by-step explanation:

Based on the information given in the question, let the total number of students that attend I.S. 59 be represented by x.

Since we've been given the information that 230 signed up for the school picnic which was 50% of all students in the school. Then, the students in the school will be:

= 50% of x = 230

0.5 × x = 230

0.5x = 230

x = 230/0.5

x = 460

Therefore, 460 students attend the school.

4 0
3 years ago
A library is open til' 5:00 P.M. On Wednesdays, the library closes 2 hours early. How many hours for a month is the library open
svet-max [94.6K]
So
if you assume that the month has 30 days and that the library opens at midnight, then
24 hours in a day
5 pm=12+5=17 hours
on wednessday=17-2=15 hours
wednessday=1/7 of week
so we find 1/7 of 30 which is 30/7=4 and 2/7
then subtract that from 30
30-4 and 2/7=25 and 5/7

ok so then we have
25 and 5/7 days is 17 hours and
4 and 2/7 days is 15 hours
so just multipy them and add

25 and 5/7 times 17=437.143 hours
4 and 2/7 days times 15 =64.2857
add

437.143+64.2856=501.429
so aprox 501.429

the real equation is  [(\frac{1}{7})(n)(15)]+[ (\frac{6}{7}) (n)(17)]=hours where n represents the number of days in the month

apros 501.429
8 0
3 years ago
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