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Vlad [161]
3 years ago
10

Which expression is the product of (x + 4i)(x − 4i)(x + 4)?

Mathematics
2 answers:
Sophie [7]3 years ago
7 0
Answer= x³+4x²+16x+64

Expand the following:(x + 4 i) (x - 4 i) (x + 4)
(x - 4 i) (x + 4) = (x) (x) + (x) (4) + (-4 i) (x) + (-4 i) (4) = x^2 + 4 x - 4 i x - 16 i = -16 i + (4 - 4 i) x + x^2:
-16 i + (-4 i + 4) x + x^2 (4 i + x)
 | | | | x | + | 4 i
 | | x^2 | + | (4 - 4 i) x | - | 16 i
 | | | | (-16 i) x | + | 64
 | | (4 - 4 i) x^2 | + | (16 + 16 i) x | + | 0
x^3 | + | (4 i) x^2 | + | 0 | + | 0
x^3 | + | 4 x^2 | + | 16 x | + | 64:
Answer: x^3 + 4 x^2 + 16 x + 64
RUDIKE [14]3 years ago
6 0
First multiply first 2 elements, so:
(x+4i)*(x-4i) =x^2-16i^2

Now: (x^2-16i^2)*(x+4)=x^3 + 4x^2 - 16xi^2 - 64i^2
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larisa86 [58]

Answer:

area = 132 cm²

Step-by-step explanation:

area of rectangle = 7 x 12 = 84

area of one triangle = 8 x 6 x 0.5 = 24

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2 years ago
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ANEK [815]

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The graph shows outdoor temperatures (°F) recorded one fall evening in Ohio. At what
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5 0
2 years ago
Which system of inequalities is represented by the graph?
Tamiku [17]
The blue line...
(1,2),(3,1)
slope = (1 - 2) / (3 - 1) = -1/2
there is a y int at (0,2.5) or (0,5/2)
it is shaded below the line....and it is a solid line
this inequality is :
y = -1/2x + 5/2
1/2x + y = 5/2
x + 2y = 5
x + 2y < = 5.....this is ur inequality


red line...
(0,4), (1,1)
slope = (1 - 4) / (1 - 0) = -3/1 = -3

there is a y int at (0,4)
it is shaded below the line...and it is a solid line
this inequality is :
y = -3x + 4
3x + y = 4
3x + y < = 4 ...this is ur inequality

summary :
ur 2 inequalities are : 
x + 2y < = 5 and 3x + y < = 4


4 0
3 years ago
A researcher is interested in the texting habits of high school students in the United States. The researcher selects a group of
vlabodo [156]

Answer:

(a)High school students in the United States.

(b)100 Students

(c)Statistic

Step-by-step explanation:

(a)Since the researcher is interested in the texting habits of high school students in the United States, the population for this study consists of all high school students in the United States.

(b)It is most often improbable to carry out research on an entire population of study. A <u>sample is taken to represent the population</u> and the results obtained from the sample are assumed to hold for the entire population.

In the given study, the researcher selects a group of 100 students to represent the High School students in the United States. This is the sample for the study.

(c)The researcher calculated the average number of text messages that each individual sends each day from the sample of 100 Students. This is an example of a Statistic. A statistic is a numerical data obtained from a sample.

Note: If the data were obtained from the entire population, it would be a <u>parameter.</u>

3 0
3 years ago
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