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stepan [7]
3 years ago
9

Simplify (6x2 − 3 − 5x3) − (4x3 + 2x2 − 8).

Mathematics
2 answers:
mezya [45]3 years ago
7 0
(6•2 - 3 - 5•3) - (4•3 + 2•2 - 8)
(12 - 3 - 15) - (12 + 4 - 8)
(9 - 15) - (16 - 8)
(-6) - (8)
-14
aleksklad [387]3 years ago
5 0
Distribute invisibl -1 to he 4x³+2x²-8

we get
6x²-3-5x³-4x³-2x²+8
group like terms
-5x³-4x³+6x²-2x²-3+8
add them
-9x³+4x²+5
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(2.99548) x (1.8342)
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Answer:

5.49430941

Step-by-step explanation:

Multiply together.

<em>i hope this helps, good luck :)</em>

5 0
3 years ago
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4 years ago
Batteries produced by a manufacturing company have had a life expectancy of 135 hours. Because of an improved production process
Nikolay [14]

Answer:  c. z = 1.35; Reject the null hypothesis

Step-by-step explanation:

Let \mu be the average life expectancy of its batteries.

As per given , we have

Null hypothesis : H_0 : \mu =135

Alternative hypothesis : H_a : \mu >135

Since H_a is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Test statistic : \dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overlien{x}= sample mean

\mu= Population mean

\sigma=population standard deviation

For n=42,\ \overline{x}=140\ \&\ \sigma=24, we have

z=\dfrac{140-135}{\dfrac{24}{\sqrt{42}}}=1.35015431217\approx1.35

Critical one-tailed test value for 0.10 significance level :

z_{0.1}=1.28

 Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .

[When critical value is less than the test statistic value , we reject the null hypothesis .]

5 0
3 years ago
A bouquet of lilies and tulips has 20 flowers.
motikmotik

Answer:8 lilies and 12 tulips; total of 20 flowers.

Step-by-step explanation:

8 lilies for $3 each equals $24. 12 tulips for $2 each equals $24. Add that together and the total for the bouquet is $48.

4 0
3 years ago
Suppose a 5x8 coefficient matrix for a system has pivot columns. Is the system​ consistent? Why and Why not?
Lyrx [107]

Step-by-step explanation:

All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.

7 0
3 years ago
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