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Virty [35]
3 years ago
13

What is the conjugate of the product (2 - i)(1+2i)?

Mathematics
1 answer:
ivann1987 [24]3 years ago
8 0

Answer:

4-3i is the answer.......

Explanation

<u>Product</u>

(2-i)(1+2i) = 2+4i-i-2i²

= 2+4i-i+2

= 4+3i

conjugate of 4+3i is 4-3i

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a university is comparing the grade point averages of biology majors with grade point averages of engineering majors. the univer
Ronch [10]

Answer:

H0 : μEng = μBio

H1: μEng ≠ μBio

Step-by-step explanation:

μEng = Engineering average gpa

μBio = Biology average gpa

To test for difference between two sample means , in this case grade point average of biology majors and Engineering major.

Null hypothesis is the initial truth, which is that ; there is no difference in the mean grade point average of both biology and engineering majors

H0 : μEng = μBio

The Alternative hypothesis is the opposite of the null, which is stated has ; there is difference between the average GPA of both Engineering and Biology majors

H1: μEng ≠ μBio

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3 years ago
The bailey family started a trip with a tank of 7/8 full of gas.The family finished the trip with a tank 1/4 full of gas.If no g
aleksklad [387]
The answer is A.5/8.

Why?

Multiply 1/4 with 2/2 to get the same denominator as 7/8, 8. That will yield 2/8.Then, simply subtract 2/8 from 7/8 (7/8 - 2/8), and that equals 5/8.

Hope this helps!
5 0
3 years ago
Read 2 more answers
Find the axis of symmetry and the vertex and graph the following: f(x)=(x+2)(x-4)
algol [13]

something noteworthy is that the independent and squared variable in this case will be the "x", namely the graph of that quadratic is a vertical parabola.

\bf f(x) = (x+2)(x-4)\implies 0=(x+2)(x-4)\implies x = \begin{cases} -2\\ 4 \end{cases} \\\\\\ \boxed{-2}\rule[0.35em]{7em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}\stackrel{\downarrow }{1}\rule[0.35em]{10em}{0.25pt}\boxed{4}

so the parabola has solutions at x = -2 and x = 4, and its vertex will be half-way between those two guys, namely at x = 1.

since this is a vertical parabola, its axis of symmetry, the line that splits its into twin sides, will be a vertical line, and it'll be the x-coordinate of the vertex, since the vertex hasa a coordinate of x = 1, then the axis of symmetry is the vertical line of x = 1.

8 0
3 years ago
X-(-4) = 10<br> X=<br> Answer here
Alinara [238K]

Answer: x = 6

Step-by-step explanation:

X - (-4) = 10

X + 4 = 10

X = 10 - 4 = 6

8 0
4 years ago
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