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raketka [301]
3 years ago
9

Solve -3x^2-4x-4=0. Use the quadratic formula.

Mathematics
2 answers:
zepelin [54]3 years ago
5 0
Let's solve your equation step-by-step.
−3x2−4x−4=0
Step 1: Use quadratic formula with a=-3, b=-4, c=-4.
x=
−b±√b2−4ac
2a
x=
−(−4)±√(−4)2−4(−3)(−4)
2(−3)
x=
4±√−32
−6

Answer:
No real solutions.
vampirchik [111]3 years ago
5 0

Answer:

x1=\frac{-2(+)2i\sqrt{2}} {3}

x2=\frac{-2(-)2i\sqrt{2}} {3}

Step-by-step explanation:

we have

-3x^{2} -4x-4=0

Rewrite (Multiply by -1 both sides)

3x^{2}+4x+4=0

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

3x^{2}+4x+4=0

so

a=3\\b=4\\c=4

substitute

x=\frac{-4(+/-)\sqrt{4^{2}-4(3)(4)}} {2(3)}


x=\frac{-4(+/-)\sqrt{-32}} {6}

remember that

i=\sqrt{-1}

x=\frac{-4(+/-)4i\sqrt{2}} {6}

Simplify

x=\frac{-2(+/-)2i\sqrt{2}} {3}

x1=\frac{-2(+)2i\sqrt{2}} {3}

x2=\frac{-2(-)2i\sqrt{2}} {3}



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An airline's public relations department claims that when luggage is lost, 88% is recovered and delivered to its owner within 24
melisa1 [442]

Answer:

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Step-by-step explanation:

Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88

At the null hypothesis, we test if the proportion is of 0.88, that is:

H_0: p = 0.88

At the alternate hypothesis, we test if this proportion is less than 0.88, that is:

H_a: p < 0.88

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.88 is tested at the null hypothesis:

This means that \mu = 0.88, \sigma = \sqrt{0.88*0.12}

A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.

This means that n = 160, X = \frac{138}{160} = 0.8625

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}

z = -0.68

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.

Looking at the z-table, the p-value of z = -0.68 is of 0.2483.

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

7 0
2 years ago
Help please for today
miskamm [114]

Answer:

<em>y: (0 , 2.5)</em>

<em>x: (3.5 , 0)</em>

Step-by-step explanation:

Y-intercept : (0 , 2.5)

X-intercept: (3.5 , 0)

When looking at the intersection on the y-axis, the x-coordinate will be 0. And when looking at the intersection on the x-axis, the y-coordinate will be 0.

8 0
3 years ago
What are the intercepts of the line 3x – 15y = 60?   A. x-intercept: –4; y-intercept: 20   B. x-intercept: –3; y-intercept: 15  
AnnZ [28]
X intercept is when y = 0
3x -15(0) = 60
3x = 60
x = 20

y intercept is when x=0
3(0) -15y = 60
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Answer is C
8 0
2 years ago
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iren2701 [21]

Answer:

(-3,3) Hope that this does help!

6 0
2 years ago
How many 16th notes = a half note?
Ber [7]

Answer:

hi so read explanation

Step-by-step explanation:

four sixteenth notes

Four eighth notes equal one- half note in duration and eight eighth notes equal  one whole    note. Two sixteenth notes are to  equal one- eighth note in duration and four sixte enth notes equal one- quarter note in durations. hope dis helped

4 0
3 years ago
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