Answer:

or

Step-by-step explanation:
we have
f(3+√2 )=f(3− √2 )=0
so
x1=3+√2 and x2=3−√2 are the roots or x-intercepts of the quadratic equation
The quadratic equation in factored form is equal to

substitute

Find the value of the coefficient a
Remember that
f(1)=−8
so
For x=-1 -----> f(x)=-8
substitute

solve for a

apply difference of squares


therefore


simplify
Applying distributive property


Answer:
3 times
Step-by-step explanation:
From the dot plot given ; distance between each tick mark is 1/4
Bottle with least water = 1/4
Bottle with most water = 3/4
Number of times bottle with most is more Than bottle with least :
All we need to do is divide the greatest by the least :
That is :
3/4 ÷ 1/4
3/4 * 4/1 = 12 / 4 = 3
3 times
Next time, please include the directions for the problem you post. Here it appears that you have given the values of I, P and t two times each.
Unfortunately, I have to guess what you're looking for.
Assuming that I=$26.25 is the interest earned on Principal P=$500, and that t is the length of time over which the Principal earns interest,
I=Prt. With I, P and t given, it's obvious that our job is to find the annual interest rate, r. So, from I=Prt, we get
$26.25 = $500 (r) (1.5 years) Solve this for the interest rate, r.
Express r both as a decimal fraction and as the equivalent percentage.
I hope this helps you
y=1
Answer:
D. if we are describing how to get from y=x^2 to y=x^2+8.
Step-by-step explanation:
If we are describing how to get from y=x^2 to y=x^2+8, then the transformation is just a translation of 8 units up.
If the equation was y=x^2-8, it would have been down 8 units.
If the equation was y=(x-8)^2, it would have been right 8 units.
If the equation was y=(x+8)^2, it would have been left 8 units.