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Georgia [21]
3 years ago
11

Add: 3x(x-y+z) and 2y (x+y-z)​

Mathematics
2 answers:
GREYUIT [131]3 years ago
4 0

Answer:

Step-by-step explanation:

hello :

3x(x-y+z) + 2y (x+y-z)​ =  3x²-3xy+3xz +2yx+2y²-2yz

3x(x-y+z) + 2y (x+y-z)​ = 3x² -xy+3xz -2yz+2y²

hodyreva [135]3 years ago
3 0

Answer:

3x^2 + 3xz + 2y^2 - 2yz - xy

Step-by-step explanation:

(1) multiply it to get

3x^2 - 3xy + 3xz and 2yx + 2y^2 - 2yz

add similar variables (-3xy + 2yx)

( the order of the variables doesn't matter xy or yx is the same)

we get -xy

and then after that simplifying we get 3x^2 + 3xz + 2y^2 - 2yz - xy

You might be interested in
A customer service phone line claims that the wait times before a call is answered by a service representative is less than 3.3
Vika [28.1K]

Answer:

(A) Yes, since the test statistic is in the rejection region defined by the critical value, reject the null. The claim is the alternative, so the claim is supported.

Step-by-step explanation:

Null hypothesis: The wait time before a call is answered by a service representative is 3.3 minutes.

Alternate hypothesis: The wait time before a call is answered by a service representative is less than 3.3 minutes.

Test statistic (t) = (sample mean - population mean) ÷ sd/√n

sample mean = 3.24 minutes

population mean = 3.3 minutes

sd = 0.4 minutes

n = 62

degree of freedom = n - 1 = 62 - 1 = 71

significance level = 0.08

t = (3.24 - 3.3) ÷ 0.4/√62 = -0.06 ÷ 005 = -1.2

The test is a one-tailed test. The critical value corresponding to 61 degrees of freedom and 0.08 significance level is 1.654

Conclusion:

Reject the null hypothesis because the test statistic -1.2 is in the rejection region of the critical value 1.654. The claim is contained in the alternative hypothesis, so it is supported.

5 0
3 years ago
If \dfrac{x-1}{3}=k 3 x−1 ​ =kstart fraction, x, minus, 1, divided by, 3, end fraction, equals, k and k=3k=3k, equals, 3, what i
earnstyle [38]
For this case we have the following expression:
 (x-1) / (3) = k
 Substituting the value of k = 3 we have:
 (x-1) / (3) = 3
 From here, we must clear the value of x.
 We have then:
 x-1 = 3 * 3
 x-1 = 9
 x = 9 + 1
 x = 10
 Answer:
 
The value of x is given by:
 
x = 10
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