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3 years ago

state whether the following statement is true or false: y= -x2 + 6x - 10 does not intersect the x-axis.

Mathematics

1 answer:

oee [108]3 years ago

4 0

Answer:

True

Step-by-step explanation:

Here, we want to check if the given equation does not intersect the x-axis

if it does not, then it has no real root

If the discriminant is less than zero, then it has no real roots and does not intersect the x-axis

The formula for the discriminant is;

D = b^2-4ac

In the question;

a = -1 , b = 6 , c = 10

so;

D = 6^2-4(-1)(10)

D = 36-40

D = -4

Since discriminant is less than zero, then there is no real root and the graph does not cross the x-axis

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3 years ago

21% of the students at a High are in Maths group, 15 % are in science group, and 6 % are in both. If a student is selected rando

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Answer:

Step-by-step explanation:

The probability of picking a maths student = 21% = 21/100

The probability of picking a science student = 15% = 15/100 = 3/20

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2 years ago

Simplify the equation 4(-8x + 5) - (-33x - 26)= ???

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$- 16 x+ 20 + 33x + 26 \\ 17x + 46$

4 0

3 years ago

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Answer:

Step-by-step explanation:

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5 0

2 years ago

M men and w women seat themselves at random in m+w seats arranged in a row. find the probability that all the women will be adja

WINSTONCH [101]

The correct answer is:

$\frac{(m+1)!w!}{(m+w)!}$

Explanation:

We want all w women to be seated together. There are w! ways to do this.

Since all women are seated together, we consider the as 1 block to be seated with the men.

There are m! ways of arranging the men. However, we also have the 1 block of women to seat; this makes (m+1)! ways to seat the men and block of women.

There are (m+w)! ways to arrange all of the men and women.

This makes our probability

$\frac{(m+1)!w!}{(m+w)!}$ .

For example, if there are 4 men and 3 women:

There are 3! = 6 ways to seat the women together. This makes 1 block of women.

There are 4! = 24 ways to seat the men together. Taking this with the block of women, we have (4+1)! = 5! = 120 ways to seat the men and block of women.

There are (4+3)! = 7! = 5040 ways to arrange 7 people.

This makes our probability 120(6)/5040 = 720/5040.

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3 years ago

state whether the following statement is true or false: y= -x2 + 6x - 10 does not intersect the x-axis.​

state whether the following statement is true or false: y= -x2 + 6x - 10 does not intersect the x-axis.