Answer:
2x^3 + 9x^2 + 16x + 21.
Step-by-step explanation:
We first multiply the expression in the second parentheses by x , then by +3:
(x + 3)(2x^2 + 3x + 7)
= x(2x^2 + 3x + 7) + 3(2x^2 + 3x + 7)
= 2x^3 + 3x^2 + 7x + 6x^2 + 9x + 21 Now we add like terms:
= 2x^3 + 9x^2 + 16x + 21.
ANSWER
$16,384
EXPLANATION
From the question we have that,
Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on.
This forms a geometric sequence,
The first term of this sequence is
The common ratio is
The general term of a geometric sequence is given by the formula:
To find the 15th term, we plug in a=1, r=2 and n=15.
The amount he will save on the 15th day is $16,384
1/2 + 3/4 + 7/8
4/4(1/2)+ 2/2(3/4) + 7/8
4/8 + 6/8 + 7/8
4+ 6 + 7
—————
8
17 1
——. Or 2—-
8 8
He prepared 2 1/8 lbs of trail mix
Answer:
x² + y² + 4x - 2y + 1 = 0
Step-by-step explanation:
The equation of a circle is given by the general equation;
(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius.
In this case; the center is (-2,1)
We can get radius using the formula for magnitude; √((x2-x1)² + (y2-y1)²)
Radius = √((-4- (-2))² + (1-1)²)
= 2
Therefore;
The equation of the circle will be;
(x+2)² + (y-1)² = 2²
(x+2)² + (y-1)² = 4
Expanding the equation;
x² + 4x + 4 + y² -2y + 1 = 4 subtracting 4 from both sides;
x² + 4x + y² - 2y + 4 + 1 -4 = 0
= x² + y² + 4x - 2y + 1 = 0
Answer:11 and 27
Step-by-step explanation:
11+16=27 and they are 16 years apart and because it says 5 years 27+5=32 and if you add 5 to 11 you get 16 and 16+16=32
