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Troyanec [42]
4 years ago
10

Factored completely x^3-2x^2-9x+18 is equivalent to

Mathematics
2 answers:
djyliett [7]4 years ago
6 0
The answer is

(x-2) (x+3) (x-3)
OLga [1]4 years ago
3 0

Answer:

(x-2)(x+3)(x-3)

Step-by-step explanation:

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One of the solutions to x2 − 2x − 15 = 0 is x = −3. What is the other solution?
Alex_Xolod [135]
If you factor the equation you can see what the solutions are.  Two factor a quadratic of the form ax^2+bx+c, find two values which satisfy two conditions...

jk=ac=-15 and j+k=b=-2 so j and k must be -5 and 3 so the factors are:

(x-5)(x+3)

So the other solution is x=5
7 0
3 years ago
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I got the table part but can someone explain why is the function relate to the graph for me? Please and thank you! ^.^
Rufina [12.5K]
Well for each pair of x and y value of the table, you can always find the coordinates of that point on the graph.
eg. x=y=-2 you can find the point {-2,-2} on the graph
6 0
3 years ago
A pole that is
nevsk [136]
Use proportions: 
height/shadow
2.6/1.24 = x/38.25
Cross multiply
1.24x=99.45
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5 0
3 years ago
A bottling process is inspected 100 percent of the time because of the low yield rate of 98%. If a batch of 80 bottles are inspe
PSYCHO15rus [73]

Answer:

The probability is   P(X <  3) =  0.7843

Step-by-step explanation:

From the question we are told that

   The low yield rate is  q = 0.98

    The sample size n = 80

Hence the probability that the bottle is bad

       p = 1- q

=>    p = 1 - 0.98

=>     p =0.02

Generally the distribution of yield follows a binomial distribution  

i.e  

         X  \~ \ \ \  B(n , p)

and the probability distribution function for binomial  distribution is  

      P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the probability less than three bottles are bad is mathematically represented as

    P(X <  3) = P(X = 0 ) + P(X = 1 )+ P(X = 2)

=>  P(X <  3) = ^{80}C_0 *  0.02^0 *  (1- 0.02)^{80-0} +^{80}C_1 *  0.02^1 *  (1- 0.02)^{80-1}+ ^{80}C_2 *  0.02^2 *  (1- 0.02)^{80-2}

=>  P(X <  3) = 1 *  1 * 0.1986 + 80 *  0.02 *  0.2027 + 3160 *  0.0004 * 0,2068

=>  P(X <  3) =  0.7843

8 0
3 years ago
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In ΔMNO, the measure of ∠O=90°, the measure of ∠N=40°, and NO = 8.1 feet. Find the length of OM to the nearest tenth of a foot.
kolbaska11 [484]

Answer: 6.8 feet

Step-by-step explanation:

8 0
3 years ago
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