First of all to make our equation simpler, we'll equal
to a variable like 'a'.
So,
Now let's plug
's value (a) into the equation.
Now we turned our equation into a quadratic equation.
(The variable 'a' will have a solution set of two solutions, but 'x' , which is the variable of our first equation will have a solution set of four solutions since it is a quartic equation (<span>fourth-degree <span>equation) )
Let's solve for a.
The formula used to solve quadratic equations ;
The formula is used in an equation formed like this :
</span></span>
In our equation,
t=16 , b=-41 and c=25
Let's plug the values in the formula to solve.
So the solution set :
We found a's value.
Remember,
So after we found a's solution set, that means.
and
We'll also solve this equations to find x's solution set :)
So the values x has are :
,
,
and
Solution set :
I hope this was clear enough. If not please ask :)
In 90 minutes it would travel for 1 hour because 90 minutes is 1 hour
hope this helps
Answer:
Option C is correct.
Step-by-step explanation:
The given function f(x) is:
f(x) = x^2 + 22x + 58
To find the vertex find and add and subtract it from both sides of the given function
b= 22, a= 1
Putting values:
Adding (11)^2 on both sides
f(x) = x^2 + 22x + 58 +(11)^2 -(11)^2
f(x) = x^2+22x+(11)^2 +58-(11)^2
a^2 +2ab+b^2 = (a+b)^2 Using this formula:
f(x)=(x+11)^2+58-121
f(x)=(x+11)^2-63
The vertex of the given function is (-11,-63)
The function is translated 4 units to right and 16 units up
The vertex of new function will be:
(x+4,y+16) => (-11+4,-63+16)
=> (-7,-47)
So, the vertex of new function is (-7,-47)
The function will be
(x+7)^2 -47
So, Option C is correct.
Answer:
4/7
Step-by-step explanation:
1/6-8/6=-7/6
-[1/6-8/6]=7/6
---------------------
(2/3)/(7/6)=(2/3)(6/7)=12/21=4/7
Answer:
The first option
Step-by-step explanation: