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ehidna [41]
2 years ago
14

Simplifythe expression to a polynomial in standard form. (4x-3)(-2x^2-7x-5)

Mathematics
2 answers:
Kisachek [45]2 years ago
7 0

Answer:

(4x -3)(-2x^2 -7x-5)

(-8x^3 -28x^2 -20x) +(6x^2 +21x +15)

-8x^2 -22x^2 +1x +15

MariettaO [177]2 years ago
4 0

Answer:

-4x^3-22x^2+x+15

Step-by-step explanation:

multiply each of the terms by the binomial

-4x^3+6x^2-28x^2+21x-20x+15

simplify

-4x^3-22x^2+x+15

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A bag of skittles contains 558 calories and serves 4.5 people. How many calories are in each serving?
vlada-n [284]

Answer:

124

Step-by-step explanation:

558/4.5=124

8 0
3 years ago
A study of the properties of metal plate-connected trusses used for roof support† yielded observations on axial-stiffness index
Zigmanuir [339]

Answer and Step-by-step explanation:

a. Yes, since the highest standard deviation (s4 = 44.51) is significantly more than double the lowest (s3 = 20.83) is plausible.

hence, the second option is correct

(b)  The testing of relevant hypothesis using the output is shown below:

As we see that

The 0.05 is more than the F test P-value i.e 0.0000

So ultimately P-value is less

Therefore we have to reject the null hypothesis

Since p-value is less than 0.05 so we reject the null hypothesis.

Therefore, the third option is correct

(c)  The construction is shown below:

Since the sample size is the same so for Tuley's HSD it would also same i.e for each pair

Now Tuley's HSD is

HSD=4.10\cdot \sqrt{\frac{1049}{7}}=50.19

The table that reflects the difference in means in different level is as follows

Levels       Difference in mean

4-6             34.85

4-8             41.92

4-10            74.15

4-12           103.96

6-8            7.07

6-10           39.3

6-12          69.11

8-10           32.23

8-12           62.04

10-12            29.81

Now the table of significant difference is

Levels       Difference in mean

4-10                 74.15

4-12                103.96

6-12                 69.11

8-12                 62.04

3 0
3 years ago
Write an<br> explicit formula for An, the nth term of the sequence 7, -42, 252, ....
erik [133]

Answer:

A_n = 7(-6)^{n-1}

Step-by-step explanation:

<u>Key skills needed: Explicit formula, Geometric sequence</u>

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

a_n = a_1(r)^{n-1}

--> r means the constant (or common ratio) that is being multiplied.

--> a_1 means the first term

--> a_n means the "nth" numbered term (so a_3 is the 3rd term, a_{10} is the 10th term and so on).

--> n-1 is just the "n" in a_n minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> r = -6 (Since we got -6 as the constant/common ratio).

--> a_1  = 7 (Since 7 is the 1st term)

This means that our formula would be --> A_n = 7(-6)^{n-1}

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
What number is more than seven hundred two thousand, eight -three?
PSYCHO15rus [73]
2 million other words 2,000,000.
4 0
3 years ago
Read 2 more answers
6x 0.5-3<br><br> How do I solve this as a decimal?? Please help!!
Margarita [4]

Answer:

3x−3

Step-by-step explanation:

5 0
3 years ago
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