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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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PLEASE HELP
SVEN [57.7K]

Answer:

B: c^11

Step-by-step explanation:

Separate the equation:

c^14/c^6 + c^3/c^6

c^14-6 + c^3/c^6 = c^8 + c^3/c^6

c^8 + c^3-6

c^8 + c^-3

Turn the -3 positive

The final equation = c^8+c^3

Therefore, c^11 is the correct answer.

3 0
3 years ago
Read 2 more answers
For the grade-level party, a local bakery donates 40 dozen cookies. There are 157 students in your grade. How many cookies can e
Bad White [126]
Alright so one dozen cookies is 12 cookies. So 40 dozen cookies is 480 cookies (40x12). If there’s 157 students then u divide 480 by 157 which gets u 3.06 cookies per person
8 0
3 years ago
The admission fee at a water park is $12.50 for children and $25.00 for adults On a certain day 352 people entered the park and
N76 [4]

Answer:

Children = 137

Adults = 215

Step-by-step explanation:

The admission fee at a water park is $12.50 for children

and $25.00 for adults.

On a certain day, 352 people entered the park and the admission fees collected totalled $6,687.50

Let the number of children admitted be x ,

and the number of adults admitted be y.

This forms a simultaneous equation:

x + y = 352 ... (i)

$12.50x + $25.00y = $6,687.50 ... (ii)

Multiplyng (i) by 12.50 and (ii) by 1 we get;

12.5x + 12.5y = 4400 ... (i)

12.5x + 25y = 6,687.5 ... (ii)

Subtracting (ii) - (i) we get;

12.5y = 2687.5

y = 215

So the number of adults admitted = 215

And the number of children admitted = 352 - 215 = 137

6 0
3 years ago
After eating 25 percent of the pretzels, Sonya had 42 left how many pretzels did Sonya have originally??? How do I get the Answe
madreJ [45]
42 + 25% = 52 ( 25% is 1/4)
7 0
3 years ago
Help me please! correct answer gets brainliest!!
MrRa [10]

47 - 19 = 28

28/4 = 7

At most they can spend 7 hours

The solution is

T = (47-19)/4

T = 28/4

T = 7

I think that solution is what your teacher is asking for, i'm not certain but ik the answer should be 7 hours.

4 0
3 years ago
Read 2 more answers
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