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3 years ago

if a quadratic equation with real coefficients has a discriminant of -36 then what type of roots does it have

Mathematics

1 answer:

Aleks04 [339]3 years ago

5 0

Step-by-step explanation:

We have,

If a quadratic equation with real coefficients has a discriminant of -36.

The general form of quadratic equation is :

$ax^2+bx+c=0$

The discriminant of this equation is : $D=b^2-4ac$

If D=0, it will have 1 real roots

If D>0, it will have 2 real roots

If D<0, it will have no real roots

We have,

D = -36 < 0, so, the quadratic equation will have no real roots.

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Use the game spinner for questions 1-4. In your final answer, include all necessary calculations.

IrinaVladis [17]

Answer:

P (Even number) = 1/2

P(spinner will land on an odd number) = 1/2

P(spinner will not land on 2 or 3) = 3/4

P(spinner will not land on a multiple of 3) = 3/4

Step-by-step explanation:

Here, while spinning the spinner total possible outcomes

are 8 = {1,2,3,4,5,6,7,8}

Now, $\textrm{P(E)} = \frac{\textrm{Number of favorable outcomes }}{\textrm{Total numberof outcomes}}$

a) E: Probability of getting even number

Favorable outcomes are {2,4,6,8}

Hence, $P(E) = \frac{4}{8} = \frac{1}{2}$

b)E: Probability that the spinner will land on an odd number.

Favorable outcomes are {1,3,5,7}

Hence, $P(E) = \frac{4}{8} = \frac{1}{2}$

c) E: Probability that the spinner will not land on 2 or 3

Favorable outcomes are {1, 4,5,6,7,8}

Hence, $P(E) = \frac{6}{8} = \frac{3}{4}$

d) E: Probability that the spinner will not land on a multiple of 3

Favorable outcomes are {1,2,4,5,7,8}

Hence, $P(E) = \frac{6}{8} = \frac{3}{4}$

3 0

3 years ago

Jenifer had 30$ to spend on her self she spent 1/5 Of the money in a sandwich 1/6 for a ticket to a museum and 1/2 Of It On a Bo

denis-greek [22]

Your answer is $29.13 I hope this helped, I apologize for the late response!

3 0

3 years ago

If AC = 3, BC = 5, and AB = 7, find AD:<br> 2 5/8<br> 4 1/5<br> 4 3/8<br> 11 2/3

Vesna [10]

Answer:

1. $2\frac{5}{8}$

Step-by-step explanation:

We can see that CD is angle bisector, So we will use angle bisector theorem which states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

We can set up an equation as:

$\frac{AC}{AD}=\frac{BC}{BD}$

Upon substituting our given values we will get,

$\frac{3}{AD}=\frac{5}{(7-AD)}}$

Cross multiplying our equation we will get,

$5AD=3*(7-AD)$

$5AD=21-3AD$

$5AD+3AD=21$

$8AD=21$

$AD=\frac{21}{8}$

$AD=2\frac{5}{8}$

Therefore, the length of AD is $2\frac{5}{8}$ units and 1st option is the correct choice.

6 0

3 years ago

PLEASE HELP ME PLEASE

a_sh-v [17]

Answer:

20 bottles

Step-by-step explanation:

Number of bottles

$= 5 \div \frac{1}{4} \\ \\ = 5 \times \frac{4}{1} \\ \\ = 20$

3 0

2 years ago

Read 2 more answers

In an office, there are 75 women and 125 men .Find the ratio of

schepotkina [342]

Given:

In an office, there are 75 women and 125 men.

To find:

The ratio of the number of men to the number of women.

Solution:

We have,

Number of men = 125

Number of women = 75

The ratio of the number of men to the number of women is:

$\text{Required Ratio}=\dfrac{\text{Number of men}}{\text{Number of women}}$

$\text{Required Ratio}=\dfrac{125}{75}$

$\text{Required Ratio}=\dfrac{5}{3}$

$\text{Required Ratio}=5:3$

Therefore, the ratio of the number of men to the number of women is 5:3.

4 0

2 years ago