Answer: 5/8
Step-by-step explanation:
Answer:
3.77
Step-by-step explanation:
Do 13.85-9.08 and
u get 3.77
Answer:
Step-by-step explanation:
This is a third degree polynomial since we have 3 zeros. We find these zeros by factoring the given polynomial. The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0). If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4. If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2. Same for the 5. The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out. That means that we need to find the product of
(x + 4)(x + 2)(x - 5). Do the first 2 terms, then multiply in the third.
, which simplifies to

No we multiply in the final factor of (x - 5):
which simplifies to

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5. If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.
Answer:
Step-by-step explanation:
4x + 3y = -1 --------------(i)
3x - 9y = 33 -------------(ii)
multiply equation (i) by 3
(i)* 3 12x + 9y = -3
(ii) <u> 3x - 9y = 33</u>
add, 15x = 30
x = 30/15
x = 2
Put x =2 in Equation (i)
4*2 + 3y = -1
8 +3y = -1
3y = -1-8
3y = -9
y = -9/3
y= -3
<span>There are 24 who like both rock and country. There are 8 who like all 3 types, and these eight have been counted under the 24. This means that the number who like rock and country but not jazz is 24 - 8 = 16.
We are given a total of 155 who like country. We subtract the 16 who like both rock and country, and are left with 139 people who like country but not rock. (It does not matter whether they like jazz or not).
The probability is 155 out of the total of 500, so 155/500 = 31/100 = 0.31.
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