Answer:
f(x) = 2x² - 8x - 10.
This is a parabola open upward (since a>0) with an axis of symmetry = -b/2a:
a) axis of symmetry: x = -(-8)/(2*2) = 8/4 = 2. Then x = 2, which is the x component of the vertex
b) for x = 2, f(x) = f(2) = - 18 (component of y of the vertex)
c) VERTEX(2, - 18)
d) DISCRIMINENT: b² - 4.a.c = 64 - 4*2*(-10) = 144
Hope this helps! :)
Answer:
$9
Step-by-step explanation:
Given I owe my friend $16 and my mom owes me $25
step 1-->take back money from mom
Mom gives back you $25
Now you have $25
Step 2: return the money you owe to friend
you owe $16
You have $25 and return $16
Thus , money you will have = money you have - money you return
money you have = $25 - $16 = $9
Thus, you will have $9 , after all is settled.
Here we are given the x intercepts at x=3 and x=9
So let us try to make quadratic equation for this using given information.
We have factors in the form (x-a)(x-b)
where a and b are x intercepts given to us.
So rewriting in factored form:

Now let us simplify it:

Let us find the vertex now,
For a quadratic equation of the form:

For x coordinate , we have the formula,

So using this formula for our equation,

So x = 6
Answer: The x-coordinate of the parabola's vertex is 6.
Answer:
Step-by-step explanation:
Cross multiply:
12 * 21 = 7 * 36
Simplifying
12 * 21 = 7 * 36
Multiply 12 * 21
252 = 7 * 36
Multiply 7 * 36
252 = 252
Add '-252' to each side of the equation.
252 + -252 = 252 + -252
Combine like terms: 252 + -252 = 0
0 = 252 + -252
Combine like terms: 252 + -252 = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
(hope this helps can i plz have brainlist :D hehe)
Answer:
His book was opened at Page no.296 and Page no.297
Step-by-step explanation:
Let the page number of one page be x
Page number of page facing page no. x = x+1
We are given that the product of the facing pages was 87,912.
So, x(x+1)=87912




(x+297)(x-296)=0
x=296,-297
Since Page no. cannot be negative
So, x=296
x+1=296+1=297
So, his book was opened at Page no.296 and Page no.297