Answer
g(x) = x^3 − x^2 − 4x + 4
End behavior- Falls to the left rises to the right
y intercept-(0, 4)
Zeros- (1,-2,2)
g(x) = x^3 + 2x^2 − 9x − 18
End behavior- Falls to the left rises on the right
y intercept- (0,-18)
Zeros- (-2,-3,3)
g(x) = x^3 − 3x^2 − 4x + 12
End behavior-Falls to the left rises to the right
y intercept-(0,12)
Zeros- (3,-2,2)
g(x) = x^3 + 2x^2 − 25x − 50
End behavior- falls to the left rises to the right
y intercept(0,-50)
Zeros- (-2,-5,5)
g(x) = 2x^3 + 14x^2 − 2x − 14
End behavior- falls to the left rises to the right
y intercept-(0,-14)
Zeros- (-7,-1,1)
Step-by-step explanation:
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Answer:
31.3%
Step-by-step explanation:
Start by doing the binomial expansion of (x+y)^6 where x represents success. This is
(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)
We are interested in the x^3y^3 term which represents exactly 3 successes. Since the probability of success and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is
20/64 = .3125 which is 31.25% Rounding yo the nearest tenth gives us
Answer:
126°
Step-by-step explanation:
(2x +18)° = (3x)°
2x + 18 = 3x
18 = 3x - 2x
18 = x
therefore, (3x)° = (3*18)°= (54)°

Answer:
cot²x
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1, then
1 - sin²x = cos²x
1 - cos²x = sin²x
Thus
=
= cot²x
Answer:
We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.
This sequence has common ratio <span><span>3<span>√<span>1355</span></span></span>=3</span>, hence <span>a=15</span> and <span>b=45</span>
Explanation:
In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.
So we want to find a and b such that 5, a, b, 135 is a geometric sequence.
If the common ratio is r then:
<span><span>a=5r</span><span>b=ar=5<span>r2</span></span><span>135=br=5<span>r3</span></span></span>
Hence <span><span>r3</span>=<span>1355</span>=27</span>, so <span>r=<span>3<span>√27</span></span>=3</span>
Then <span>a=5r=15</span> and <span>b=ar=15⋅3=45</span>