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3 years ago

What are the roots of -12x2 + 11x − 3 = 0?

1 answer:

5 0

This quadratic does not have any real roots.
It is a parabola that opens downward with vertex at (11/24, -.48) which means the vertex is below the x-axis and therefore will not have any real roots.

Imaginary roots would be
x = [11 +- sqrt (121 - 4(-12)(-3)] / (-24)
x = [11 + - i sqrt(23) ] / (-24)

You might be interested in

Simplify the ratio 24:120

Vaselesa [24]

24: 1, 2, 3, 4, 6, 8, 12, 24
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The GCF of 24 and 120 is 24.

$24:120 / 24:24 = \\ 1:5$

3 0

3 years ago

Read 2 more answers

Andrew can paint the neighbor's house 6 times as fast as The year and worked together, it took them 5 days. How long would it

Rina8888 [55]

Answer: $\dfrac{35}{6}\ \text{days},\ 35\ \text{days}$

Step-by-step explanation:

Given

Andrew can paint times faster than the other

Suppose the other person take 6x days

So, andrew takes only x days to paint alone

When they work together, it took them 5 days i.e.

$\Rightarrow \dfrac{1}{x}+\dfrac{1}{6x}=\dfrac{1}{5}\\\\\Rightarrow \dfrac{6+1}{6x}=\dfrac{1}{5}\\\\\Rightarrow x=\dfrac{35}{6}\ \text{days}$

So, time taken by the to finish individually is given by

$\Rightarrow \text{Andrew= }\dfrac{35}{6}\ \text{days}\\\\\Rightarrow \text{Other Person}=6\times \dfrac{35}{6}\\\\\Rightarrow \text{Other Person}=35\ \text{days}$

5 0

3 years ago

Use the following information for the question. Male players at the high school, college and professional ranks use a regulation

Virty [35]

Answer:

13.567%

Step-by-step explanation:

We solve the above question, using z score formula

z = (x-μ)/σ, where

x is the raw score = 23.1 ounces

μ is the population mean = 22.0 ounces

σ is the population standard deviation = 1.0 ounce

More than = Greater than with the sign = >

Hence, for x > 23.1 ounces

z = 23.1 - 22.0/1.0

= 1.1

Probability value from Z-Table:

P(x<23.1) = 0.86433

P(x>23.1) = 1 - P(x<23.1)

P(x>23.1) = 1 - 0.86433

P(x>23.1) = 0.13567

Converting to percentage

= 0.13567 × 100

= 13.567%

Therefore, the percentage of regulation basketballs that weigh more than 23.1 ounces is 13.567%

8 0

2 years ago

If someone could help!

ad-work [718]

Step-by-step explanation:

This time round, use SOH method (Sin angle = Opposite/Hypotenuse)

given Opposite = 7

Hypotenuse = 10

$\sin(x) = \frac{opposite}{hypotenuse} \\ \sin(x) = \frac{7}{10} \\ x = {sin}^{ - 1} ( \frac{7}{10} ) \\ = 44.4deg(nearest \: tenth)$

4 0

3 years ago

Shelly is 3 years older than Michele. Four years ago the sum of their age was 67. Find the age of each person.

lawyer [7]

total of ages now is 67 + 4 + 4 = 75

S=shelly

M= Michelle

Michelle is 3 yrs younger than Shelly so use S-3

S +M = 75

replace M with S-3 to get:

S +S-3=75

2S=78

s=39

So shelly is 39

Michelle is 3 years younger = 39-3 = 36

4 0

3 years ago

Read 2 more answers