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Tomtit [17]
3 years ago
13

AYOOO HELPPPPP MATHHHH......? THANKKK UUUUU

Mathematics
1 answer:
Gnom [1K]3 years ago
3 0

9514 1404 393

Answer:

  choices A and F are part of Leo's system of equations

Step-by-step explanation:

The formula for the amount in an account compounded annually is ...

  A = P(1 +r)^t

For the given amounts and variables, that is ...

  y = 500(1.025)^x . . . . matches F

__

The formula for the amount in an account compounded continuously is ...

  A = P·e^(rt)

With given values, this is ...

  y = 400e^(0.02x) . . . . matches A

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Use the discriminant to find the number and type of solution for x^2+6x=-9​
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Answer:

D = 0; one real root

Step-by-step explanation:

Discriminant Formula:

\displaystyle \large{D =  {b}^{2}  - 4ac}

First, arrange the expression or equation in ax^2+bx+c = 0.

\displaystyle \large{ {x}^{2}  + 6x =  - 9}

Add both sides by 9.

\displaystyle \large{ {x}^{2}  + 6x + 9 =  - 9 + 9} \\  \displaystyle \large{ {x}^{2}  + 6x + 9 =  0}

Compare the coefficients so we can substitute in the formula.

\displaystyle \large{a {x}^{2}  + bx + c =  {x}^{2}  + 6x + 9 }

  • a = 1
  • b = 6
  • c = 9

Substitute a = 1, b = 6 and c = 9 in the formula.

\displaystyle \large{D =  {6}^{2}  - 4(1)(9)} \\  \displaystyle \large{D =  36 - 36} \\  \displaystyle \large{D =  0}

Since D = 0, the type of solution is one real root.

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