All categories

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

You might be interested in

How does the average man feel today

Arte-miy333 [17]

Answer: It depends who they are and their enovirment. If its a bad negative enviroment most of the time their mind set will be like that!

I try to become more postive but its not easy!

Step-by-step explanation:

8 0

3 years ago

Express in simplest radical form.<br> V100

Elanso [62]

Answer:

I think it is 10.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve for x 8-2x = 5( x4)

MissTica

4/11 because when you multiply 5x4x you get 20x , so 8-2x=20x. Then you move the terms with variables and get -2x-20x=-8. This gives you the answer that -22x=8 and when u divide by 22 to both sides, you get 4/11.

5 0

3 years ago

Is f(x)=3/4 a function?

Marat540 [252]

Answer:

Yes, f(x) = $\frac{3}{4}$ is a constant function.

Step-by-step explanation:

A function is defined to be a relation from 1 set of numbers to another set of numbers.

The main condition for a relation to be a function is that for every number in the domain there should be a <u>unique image</u>

Here the given function is f(x) = $\frac{3}{4}$

This function is a constant function and gives the value 0.75 for all values of x.

Hence the graph would be a straight line parallel to the x-axis passing through y = 0.75.

Hence the f(x) = 0.75 is a function.

4 0

3 years ago

Assume that y varies directly with x. If y=9 when x=−3, find x when y=6.

Dafna1 [17]

Answer:-2

Step-by-step explanation:

8 0

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.