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SVETLANKA909090 [29]
3 years ago
9

3. Use the diagram below to answer the following questions. Type your answers below each question.

Mathematics
1 answer:
Sauron [17]3 years ago
3 0
I don't see the diagram
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Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16
s344n2d4d5 [400]

Answer:

k=3

Step-by-step explanation:

Let

f(x)=2x^3+18x^2-18x-162

We factor 2 to obtain;

f(x)=2(x^3+9x^2-9x-81)

We factor the polynomial within the parenthesis by grouping.

f(x)=2(x^2(x+9)-9(x+9)

f(x)=2(x^2-9)(x+9)

f(x)=2(x^2-3^2)(x+9)

We apply difference of two squares on the second factor: x^2-3^2=(x-3)(x+3)

f(x)=2(x+3)(x-3)(x+9)

We now compare to;

f(x)=2(x+k)(x-k)(x+9)

It is now obvious that k=3

6 0
3 years ago
For f(x) = 4x+ 1 and g(x) = x2 - 5, find (f+ g)(x).
horrorfan [7]

Answer:

x^2+4x-4

Step-by-step explanation:

4x+1+x^2-5

x^2+4x-4

6 0
4 years ago
Read 2 more answers
Identify the angle or side that is common to ADGF and AEGH?
vovangra [49]

Answer:

Angle G

Step-by-step explanation:

It's in both triangles.

7 0
2 years ago
Describe the error in the work below.
Agata [3.3K]
If u take you answer as x and do the problem u will see that they are equal so u would have to have a different answers for x or say -6.1 is greater than or equal to -17.4 + 11.3
5 0
3 years ago
Read 2 more answers
An online store receives customer satisfaction ratings between 000 and 100100100, inclusive. In the first 101010 ratings the sto
Monica [59]

Complete question is;

An online store receives customer satisfaction ratings between 0 and 100, inclusive. In the first 10 ratings the store received, the average (arithmetic mean) of the ratings was 75. What is the least value the store can receive for the 11th rating and still be able to have an average of at least 85 for the first 20 ratings?

Answer:

50

Step-by-step explanation:

We are told that In the first 10 ratings the store received arithmetic mean of the ratings = 75.

Thus;

Sum of the first 10 ratings = 75 × 10 = 750

Now, for the mean of the first 20 ratings to be at least 85, it means that the sum of the first 20 ratings would be; 85 × 20 = 1700

Thus, the sum of the next 10 ratings would be; 1700 − 750 = 950.

If maximum rating = 100, then the maximum possible value of the sum of the 12th to 20th ratings is given by;

9 × 100 = 900.

Now, in order to make the store have an average of at least 85 for the first 20 ratings, the least value for the 11th rating is;

950 − 900 = 50

7 0
3 years ago
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