x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64
Step-by-step explanation:
We shall expand the brackets;
(x + 2)^6
x⁶ + x⁵2 + x⁴2² + x³2³ + x²2⁴ + x2⁵ + 2⁶
x⁶ + 2x⁵ + 4x⁴ + 8x³ + 16x² + 32x + 64
We shall then use Pascal’s triangle to fit in the coefficients;
(1) x⁶ + (6) 2x⁵ + (15) 4x⁴ + (20) 8x³ + (15) 16x² + (6) 32x + (1) 64
x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64
Answer:
Ellie needs 1.2 or 1 1/5 cups of flour (as 2/10 simplifies to 1/5).
Please mark me brainliest if this helped!
Consider that the three consecutive integers are:
least integer = n
middle integer = n + 1
greatest integer = n + 2
THe expression "three consecutive integers is 12 less than 4 times the middle integer" can be written as follow:
n + (n + 1) + (n + 2) = 4(n +1) - 12
In order to find the numbers, proceed as follow:
n + (n + 1) + (n + 2) = 4(n +1) - 12 cancel parenthesis
n + n + 1 + n + 2 = 4n + 4 - 12 simplify like terms
3n + 3 = 4n - 8 subtract 4n and 3 both sides
3n - 4n = - 8 - 3
-n = -11
n = 11
Hence, the three consecutive integers are:
n = 11
n + 1 = 12
n + 2 = 13
Anytime you subtract a negative number, it changes it to adding a positive number.
-2 + 0.7
Since we are adding, we will have an arrow going to the right
-2 + 0.7 = -1.3
Therefore, we will have a point starting at -2, an arrow pointing to the right and stopping at -1.3
Best of Luck!
