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3 years ago

How many real roots does a quadratic equation have if the discriminant is -3?

1 answer:

soldier1979 [14.2K]3 years ago

6 0

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{a}x^2\stackrel{\stackrel{b}{\downarrow }}{+b}x\stackrel{\stackrel{c}{\downarrow }}{+c} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\stackrel{\textit{no real roots}}{\textit{no solution}}\quad \checkmark \end{cases}$

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Let the given rhombus be abcd in which ab = bc = cd = da = 20 cm and

natka813 [3]

Answer:

384 cm²

Step-by-step explanation:

Property of rhombus :

Diagonals of rhombus bisect each other and are perpendicular to each other

Given :

Rhombus ABCD and its diagonals AC and BD bisect each other at O
AC ⊥ BD
AB = BC = CD = DA = 20 cm
AC = 24 cm

Solving :

Area of the given rhombus is twice the Area of ΔABC formed by the given diagonal and two adjacent sides.

2 × 1/2 × OB × AC
24 × OB
24 × √AB² - AO²
24 × √20² - (AC/2)²
24 × √400 - 144
24 × √256
24 × 16
384 cm²

6 0

2 years ago

Specifications for a piece of material used in the manufacture of a bed mattress require that the piece be between a Lower and U

wolverine [178]

Answer:

Hello a value is missing in your question below is the value

samples of n = 10

answer : 24.63 < μ < 25.370

Step-by-step explanation:

Given :

Sample size = n = 10

Z∝/2 = Z0.0256 = 1.95

next calculate for margin of error

E = Z∝/2 * ( 0.6 / / $\sqrt{10}$ )

= 0.370

therefore at 94.87% confidence interval the estimated population mean is

x - 0.370 < μ < x + 0.370

25 - 0.370 < μ < 25 + 0.370

24.63 < μ < 25.370

4 0

3 years ago

Please help with 12! Show your work! Thank you!

svetoff [14.1K]

A 16.50 would be the answer hope this helps. Can I have brainliest?! Please?!

3 0

3 years ago

1/ n+5 - n2-10n/n3 +4125

lyudmila [28]

Answer:

Here you go mate!

Step-by-step explanation:

Not sure if it's right though

3 0

3 years ago

A hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there?

kupik [55]

Answer:

There are 2,598,960 5 draw poker hands are there.

There are 311,875,200 5-stud poker hands.

Step-by-step explanation:

When the order is not important, we use the combinations formula:

For example, eating an apple and an orange is the same as eating an orange and an apple.

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

When the order is important, we use the permutations formula:

For example, a 3 digit credit card password, 123 is different than 213.

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!)}$

A hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there?

Here, the ordering is not important, so we use the combinations formula.

$C_{52,5} = \frac{52!}{5!47!} = 2598960$

There are 2,598,960 5 draw poker hands are there.

In 5-card stud poker, the cards are dealt sequentially and the order of appearance is important. How many 5-stud poker hands are there?

The ordering is important, so we use the combinations formula.

$P_{(52,5} = \frac{52!}{47!)} = 311875200$

There are 311,875,200 5-stud poker hands.

7 0

4 years ago