Answer:
B
Step-by-step explanation:
x² + 9x
to complete the square
add ( half the coefficient of the x- term )² to x² + 9x
= x² + 2(
)x + ( )²
= x² + 9x + 
← the value of c
= (x + )² ← a perfect square
Answer:
875
Step-by-step explanation:
lets assume the original amount X
the new amount = X - ( X × 40% )
525 = (60 × X) ÷ 100
X = ( 525 × 100 ) ÷ 60
<u>X = 875</u>
Answer:
Cost of medium iced caramel latte = $3.59
Step-by-step explanation:
Assume;
Cost of medium iced caramel latte = x
Cost of blueberry muffin = y
So,
On Thursday
x + y = 5.18......eq1
On Friday
2x + 3y = 11.95.....eq2
Eq1 × 3
3x + 3y = 15.54......eq3
eq3 - eq2
x = 3.59
Cost of medium iced caramel latte = $3.59
One reason that negative numbers would not make sense for values of the variables is that the solution having a negative value is not valid. It might be that the expression represents a real word problem and a negative value will not make any sense. Hope this helps.
Step-by-step explanation:
the area is
length × width
(3x - 2) × width = 9x² - 4
to find width we could do a real polynomial division or simply recognize the fact that
(a + b)(a - b) = a² - b²
and we see that in our area calculation we are missing the (a + b) factor.
so, width = (3x + 2)
but if you want the division :
9x² - 4 : 3x - 2 = 3x + 2
- 9x² - 6x
-----------------
0 6x - 4
- 6x - 4
----------------------
0 0
again, width = (3x + 2)
