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]
Answer:
$38.46
Step-by-step explanation:
Minimum payment = 15% of balance
Balance = $256.38
Therefore
15% of $256.38
Change 15% to decimal
15% /100% x $256.38
0.15 x $256.38
$38.46
Her minimum payment is $38.46
Answer:
r = 7 q - 34
Step-by-step explanation:
Solve for r:
-34 + 7 q - r = 0
Subtract 7 q - 34 from both sides:
-r = 34 - 7 q
Multiply both sides by -1:
Answer: r = 7 q - 34
Answer:
x/y=1/4
Step-by-step explanation:
3x+2y=3y-2
3x=3y-2y-2
3x=y-2
y=3x+2
x+y=10
x+3x+2=10
4x+2=10
4x=10-2
4x=8
x=8/4
x=2
2+y=10
y=10-2
y=8
x/y=2/8=1/4
Answer:
Correct choice is B
Step-by-step explanation:
Let a, b, c and d be the trapezoid's sides lengths.
The perimeter of the trapezoid is the sum of all sides lengths, thus,
If each side length is increased by a factor 7, then new sides have lengths 7a, 7b, 7c and 7d. The perimeter of new trapezoid is
Use the distributive property for this expression:
Since 
then
