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3 years ago

If the quadratic formula is used to solve 2x 2 - 3x - 1 = 0, what are the solutions?

2 answers:

8 0

Hello :
the discriminat of each quadratic equation : ax²+bx+c=0 ....(a ≠ 0) is :
Δ = b² -4ac
1 ) Δ > 0 the equation has two reals solutions : x = (-b±√Δ)/2a
2 ) Δ = 0 : one solution : x = -b/2a
3 ) Δ < 0 : no reals solutions
in this exercice : 2x ² - 3x - 1 = 0....a =2 b =-3 c =-1
calculate : Δ ......................................

PSYCHO15rus [73]3 years ago

8 0

The correct answer is Option (C):

3 +/- $\sqrt{17}$ / 4

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Given that lim x → 2 f ( x ) = 1 lim x → 2 g ( x ) = − 4 lim x → 2 h ( x ) = 0 limx→2f(x)=1 limx→2g(x)=-4 limx→2h(x)=0, find the

VashaNatasha [74]

Answer:

According what I can read, I have the following statements:

$\lim_{x \to 2} f(x) = 1$

$\lim_{x \to 2} g(x) = -4$

$\lim_{x \to 2} h(x) = 0$

a) Applying properties of limits

$\lim_{x \to 2} f(x) + 5g(x) = \lim_{x \to 2} f(x) + 5 \lim_{x \to 2} g(x) = 1 + 5*-4 = -19$

b) Applying properties of limits

$\lim_{x \to 2} g(x)^{3} = {(\lim_{x \to 2} g(x))}^{3} = (-4)^{3} = -64$

c) Applying properties of limits

$\lim_{x \to 2} \sqrt{f(x)} = \sqrt{\lim_{x \to 2} f(x)} = \sqrt{1} = 1$

d) Applying properties of limits

$\lim_{x \to 2} 4*g(x)*f(x) = 4*\lim_{x \to 2} g(x)*\lim_{x \to 2} f(x) = 4*-4*1 =-16$

e) Applying properties of limits

$\lim_{x \to 2} g(x)*h(x) = \lim_{x \to 2} g(x)*\lim_{x \to 2} h(x) = -4*0 =0$

f) Applying properties of limits

$\lim_{x \to 2} g(x)*h(x)*f(x) = \lim_{x \to 2} g(x)*\lim_{x \to 2} h(x)*\lim_{x \to 2} f(x = -4*0*1 =0$

3 0

3 years ago

Write an equation in slope-intercept A slope of 0 and passes through (0,-3)

Finger [1]

If the line has a slope = 0, then it's a horizontal line

with the equation y = constant.

The line passes through (0, -3) → y= -3

<h3>Answer: y = -3</h3>

6 0

3 years ago

If it rains tomorrow, the probability is 0.6 that John will practice his cello. If it does not rain tomorrow, there is only a

steposvetlana [31]

The final probability is the weighted average of the playing probabilities calculated over the possible weather options:

P(john practices cello; given that it rains) * P(it rains) +

P(john practices cello; given that it does not rain) * P(it does not rain) =

0.6 * 0.7 + 0.4 * 0.3 = 0.54

The probability is 54%

6 0

3 years ago

Pleaseeeee lol i don’t wanna fail

allsm [11]

Answer:

Step-by-step explanation:

x^0=1 so you can cancel it out. when a number has a negavite exponent, you have to invert it. That means y^-6 goes at the denominator and becomes y^6 and z^-6 goes up to the numerator and becomes z^6.

5 0

2 years ago

If the sum of the roots of the equation 3x² + kx + 1 = 0 is 7. then what the value of k

koban [17]

Answer:

The value of k is -21

Step-by-step explanation:

ax² + bx + c = 0

Sum of the roots = -b/a

3x² + kx + 1 = 0

= sum of the roots = -k/3

-k/3 = 7

Now, Multiply both side by (-3) we get,

(-3)-k/3 = 7(-3)

k = -21

Thus, The value of k is -21

-TheUnknownScientist 72

7 0

2 years ago