Answer:
y intercept = -2
x intercepts = -2,-1,1
Step-by-step explanation:
f(x) = x^3 + 2x^2 -x-2
Set this equation equal to zero to find the x intercepts.
Factoring by grouping
0 =x^3 -x +2x^2 -2
= x( x^2-1) +2(x^2-1)
Factoring out the (x^2-1)
0= (x^2-1) (x+2)
Factoring the first term using the difference of squares (a^2-b^2) = (a-b)(a+b)
0 = (x-1) (x+1) (x+2)
Using the zero product property
x-1 = 0 x+1 = 0 x+2 =0
x=1, x=-1 x=-2
The x intercepts are -2, -1, 1
To find the y intercepts, set x=0
y = x^3 + 2x^2 -x-2
y = 0 -2
y = -2
Answer:
The ratio of the area of the larger circle to the area of the smaller circle will be: 4/1 or 4:1
Step-by-step explanation:
The diameter of a larger circle = d = 40 cm
r = d/2 = 40/2 = 20 cm
The area of the larger circle = πr²
= 3.14 (20)²
= 3.14 × 400
= 1256 cm²
The diameter of a smaller circle = 20 cm
r = d/2 = 20/2 = 10 cm
The area of the smaller circle = πr²
= 3.14 (10)²
= 3.14 × 100
= 314 cm²
Thus,
The area of the larger circle = 1256 cm²
The area of the smaller circle = 314 cm²
Therefore,
The ratio of the area of the larger circle to the area of the smaller circle will be computed as:
reducing the ration into a simpler form
Thus, the ratio of the area of the larger circle to the area of the smaller circle will be: 4/1 or 4:1
Answer:
geometric
common ratio 2/3
Step-by-step explanation:
We know that the sequence is not arithmetic
3-2 =1
2-4/3 = 6/3 -4/3 = 2/3
The common difference is not the same
Now check geometric
The common ratio:
Take the second term over the first term
2/3
Now take the third term over the second term
4/3 ÷ 2
4/3 * 1/2 = 2/3
The common ratio is the same so the sequence is geometric with a common ratio of 2/3
First 17-3
2×__=14
now divide by 2
__=7
check
3+2×7=17
3+14=17
17=17
You have to multiply your 20cm by 6cm and your final answer being 120 because 0 times 6 is zero and 2 times 6 is 12, then that getting you 120
