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Mathematics

2 answers:

Likurg_2 [28]3 years ago

6 0

Answer:

Step-by-step explanation:

(-∞,-3) U (-3,8) U(8,∞)

Finger [1]3 years ago

5 0

Answer:

(-∞,-3) U (-3,8) U(8,∞)

Step-by-step explanation:

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Explain each step for solving x^2 - 4x=6 by the method of completing the square.

deff fn [24]

Answer:

If you aren't looking for the quadratic solving method then comment it down below and tell me what you're looking for

QUADRATIC EQUATION

x²- 4x = 6

(x - 2)²- 4 = 6

(x - 2)² = 10

x - 2 = ±10

x = ±10+2

x = -8, 12

3 0

3 years ago

a toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its heigh

sdas [7]

Answer:

t = 2.11 seconds

Step-by-step explanation:

A toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its height h at any given second t is modeled by the equation:

$h=-16t^2+32t+48$

Let us assume that we need to find the time by it to reach the ground. It means h = 0

$-16t^2+32t+48=0$

The above is a quadratic equation. The value of t is given by :

$t=\dfrac{-b\pm \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-b+ \sqrt{b^2-2ac} }{2a},\dfrac{-b- \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-32+ \sqrt{(32)^2-2\times (-16)(8)} }{2\times (-16)},\dfrac{-32-\sqrt{(32)^{2}-2\times(-16)(8)}}{2\times(-16)}\\\\t=-0.11\ s, 2.11\ s$