Answer:
8 5/6 -> 8.839 -> 177/20 -> 8.99
Step-by-step explanation:
8 5/6 = 8.333
8.839
177/20 = 8.85
8.99
Answer:
vertex = (- 3, 1 )
Step-by-step explanation:
given a quadratic in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
x = -
f(x) = x² + 6x + 10 ← is in standard form
with a = 1, b = 6 , then
x = - = - 3
substitute x = - 3 into f(x) for corresponding y- coordinate
f(- 3) = (- 3)² + 6(- 3) + 10 = 9 - 18 + 10 = 1
vertex = (- 3, 1 )
Answer:
Option B is correct.
The expression which is equivalent to is;
Explanation:
Given the equation: for all values of n.
The quadratic equation in this form;
First find two numbers that multiply to give ac and add to give b.
From the given equation;
a =1 , b = 26 and c =88
then,
the two number that multiply to give ac =88 is, 22 or 4
and they add up to give b=26 (i.e 22+4)
Now, rewrite the middle term i.e 26n with 22n and 4n , we have
Now, factor the first two terms and last two terms,
we see that is common to both terms so, we have;
Therefore, the expression is equivalent to
Check:
(n+4)(n+22) = = [ True]
Product= multiplication
s= a number
is= equal sign
3/4s= 3/5
divide both sides by 3/4
s= (3/5) / (3/4)
to divide fractions, multiply by the reciprocal/inverse of 3/4
s= 3/5 * 4/3
multiply numerators; multiply denominators
s= (3*4)/(5*3)
multiply within parentheses
s= 12/15
simplify by 3
s= 4/5
ANSWER: 4/5
Hope this helps! :)