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astraxan [27]
3 years ago
13

Find the roots of the following polynomial equations: 1. y = 2x2 + 3x - 5​

Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Answer:

Step-by-step explanation:

y=2x^2+3x+5\\

Using the quadratic formula:

\frac{-3+-\sqrt{9-4(2)(5)}}{2(2)} = \frac{-3+-\sqrt{-31}}{4}

Since the discriminant is negative, -31, there are no real roots

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Terry has 25 bills. He has ten-dollar bills and fifty-dollar bills
dexar [7]

Answer: He can have 12 fifty-dollars bills and 7 ten-dollar bills.

Step-by-step explanation:

12*50=700

7*10=70

      _____+

       770

3 0
3 years ago
Which strategie would eliminate a variable in the system of equations? −x+6y=8 7x−y=−2 ​
NeX [460]

Answer:

  substitution (or addition)

Step-by-step explanation:

A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:

  x = 6y -8

  7(6y -8) -y = -2 . . . . . x variable eliminated

__

The second equation is easily solved for y, so you could substitute that into the first equation.

  y = 7x +2

  -x +6(7x +2) = 8 . . . . . y-variable eliminated

__

The "addition" method is always a good way to eliminate a variable.

When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.

To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:

   7(-x +6y) +(7x -y) = 7(8) +(-2)

  42y -y = 56 -2 . . . . . . x-variable eliminated

Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:

  (-x +6y) +6(7x -y) = (8) +6(-2)

  -x +42x = -4 . . . . . . . . y-variable eliminated

__

It is often the case that using either substitution or "addition" requires about the same amount of work.

Here, the solutions are (x, y) = (-4/41, 54/41).

3 0
3 years ago
According to records from the last 50 years, there is a 2/3 chance of June temperatures being above 80⁰f . Azul needs to find th
Hatshy [7]

Answer:

6 for a btu not sure

Step-by-step explanation:

8 0
3 years ago
What is the slope of the function, represented by the table of values below?
Maslowich
Notice the table of values, thus let's pick two points from it, to check what the slope may be,

\bf \begin{array}{l|ccccccc}
x&-2&\underline{1}&2&\underline{4}&7\\
y&16&\underline{4}&0&\underline{-8}&-20
\end{array}\\\\
-------------------------------

\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~{{ 1}} &,&{{ 4}}~) 
%  (c,d)
&&(~{{ 4}} &,&{{ -8}}~)
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{-8-4}{4-1}\implies \cfrac{-12}{3}\\\\\\ \cfrac{-4}{1}\implies -4
8 0
3 years ago
Two lines, A and B, are graphed (Look at the picture):
Snezhnost [94]

Answer:

B. (2,8), because both equations intersect at this point

3 0
3 years ago
Read 2 more answers
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