A(n) =2+9(n-1)= 2 + 9n - 9= 9n -7
A(n-1)= 2+9[(n-1)-1]= 2 + 9(n-2)= 2+ 9n - 18= 9n -16
A(n)- A(n-1)= (9n-7)-(9n-16) = -7+16=9
A(n)= A(n-1) +9 is the answer
Answer <span>B.X= 3 1/8
</span><span>X+7/8=4
x = 4 - 7/8
x =3 8/8 - 7/8
x = 3 1/8</span>
4 sticks of butter to make 4 batches of lemon bars
Step-by-step explanation:
well,
(y - 7)² = (y - 7)(y - 7)
remember how to multiply 2 expressions ?
you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).
so, when we do the multiplication, we get
(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =
= y² - 14y + 49
and that is clearly different to y² - 49
FYI
y² - 49 is the result of
(y - 7)(y + 7)
because
y×y + 7×y - 7×y + (-7)(7) = y² - 49
Answer:
W = 16
L = 24
Step-by-step explanation:
Let's write down the information we have first
"The length of a rectangle is 8 feet longer than it is wide"
L = W + 8
"If each side is increased 8 feet, then the area is multiplied by 2."
(L + 8)(W + 8) = 2LW
Now we can solve for W first, then L
(W + 16)(W + 8) = 2W(W + 8)
W² + 24W + 128 = 2W² + 16W
0 = W²- 8W - 128
0 = (W - 16)(W + 8)
W = 16
L = 24
(This part above is solved like quadratics)
