What is the product in simplest form?

What are the possible values of x in x2 + 3x + 3 = 0?

stealth61 [152]

Hello,

$x^2+3x+3=0\\

\Delta=9-4*3=-3\\

x= \dfrac{-3-i*\sqrt{3}}{2} \ or\ x= \dfrac{-3+i*\sqrt{3}}{2} \\

$

3 0

3 years ago

Read 2 more answers

Which set of points does not represent a function

Maurinko [17]

If it is a bunch of dots on a graph, then the answer will be the one that has two sets of dots on the same vertical line (the y axis). so if there are two dots right above and below eachother, that graph is the correct answer.

8 0

3 years ago

The vertex of this parabola is at (3,5) when the y-value is 6 the x value -1 what is the coefficient of the squared term in the

ale4655 [162]

Answer:

1/16

Step-by-step explanation:

Here,

Vertex =(3,5)

x= -1, y=6

Simply,eqn of parabola is given by ax^2+bx+c=y

So, coefficient of squared term (x^2) is 'a'

Therefore, we've to find the value of a

Moving on to solution:

a-b+c=6 ___(i) (by putting the given values of x and y in eqn of parabola )

We know that,

Vetex=(-b/2a, ( 4ac-b^2)/4a)

(3,5) = (-b/2a , (4ac-b^2)/4a)

Equating corresponding sides,we get

3= -b/2a

b=-6a___(ii)

Again,

5=(4ac-b^2)/4a

5=(4ac/4a) - (b^2/4a)

5= c- (36a^2/4a) (by putting value of b from eqn ii )

5= c-9a___(iii)

Now,moving back to the first eqn

a+6a+5+9a=6

16a=1

therefore,a=1/16

Hence ,the required value of coefficient of squared term is 1/16.

I tried my best to give clear explanation as much as I know. It's just we've have to find the value of a . For that, you can use any method you find easier.

3 0

3 years ago

A soup can has a diameter of 6.6cm. The label on the can is 8.8cm high. There is a 1cm overlap on the label. What is the area of

DanielleElmas [232]

Calculate the circumference and then add the 1 cm overlap:

C = pi*(6.6 cm) + 1 cm = 21.7 cm.

Next, mult this C by the height, 8.8 cm: Total area is 21.7 cm times 8.8 cm,
or 191.3 cm^3 (answer)

7 0

3 years ago

The graph shows the height h, in feet, of s football at time t, in seconds, from the moment it was kicked at ground level. Estim

aliina [53]

The graph shows the height h, in feet, of s football at time t, in seconds, from the moment it was kicked at ground level.

We are supposed to find the average rate of change in height from t=1.5 seconds to t=1.75 seconds.

Average rate of change in height= $\frac{\text{Change in Height}}{\text{Time taken}}\\$

As we can see from the the change in distance for the time interval 1.5 second to 1.75 second= $12-7=5$

and time= $1.75-1.5=0.25$

Average rate of change in height= $\frac{5}{0.25}\\$ =20ft/sec

Hence Required Rate of change is -20 ft/sec, because its falling(In the direction of negative y-aixs)

3 0

4 years ago

Read 2 more answers