Question:
The square of a number decreased by 3 times the number is 28 find all possible values for the number
Answer:
The possible values of number are 7 and -4
Solution:
Given that the square of a number decreased by 3 times the number is 28
To find: all possible values of number
Let "a" be the unknown number
From given information,
square of a number decreased by 3 times the number = 28


Let us solve the above quadratic equation


Using the above formula,


Thus the possible values of number are 7 and -4
She will need 12 seconds because -20•12=-240
By definition, the density is given by:
Where,
m: mass
V: volume
Clearing the mass we have:
The volume is given by:
Then, we have the following conversion:
Applying the conversion we have:
On the other hand we have the following conversions:
Applying the conversions for the density we have:
Then, the mass of the water is:
Answer:
1190 kilgrams of water are required to fill the waterbed
What do u mean man i don't get it ether sorry brah <span />
To express a function of the form

in vertex form

where (h,k) is the vertex of the parabola, we need to find the vertex first.
To find the vertex we are going to use the vertex formula:

, and

will be the function evaluated at

.
We can infer from our function that

and

. So lets find

:




Now that we have

, we can evaluate the function at 1 to find

:




We have the vertex (1,3) of our parabola, so we can use its vertex form:



We can conclude that the vertex for of our parabola is <span>f(x) = (x + 1)2 + 3.</span>