MATHEMATICS HIGH SCHOOL

Cho số phức z thỏa mãn 2iz-5+i=i-(z-2i) tính modun của số phức w=z-1+i

Answers

Answer 1

Answer:

Solve the given equation for z :

2iz - 5 + i = i - (z - 2i )

2iz - 5 = 2i - z

(2i + 1) z = 2i + 5

z = (2i + 5)/(2i + 1)

z = (2i + 5)/(2i + 1) × (2i - 1)/(2i - 1)

z = (4i ² + 10i - 2i - 5) / (4i ² - 1)

z = (8i - 9)/(-5)

z = 9/5 - 8/5 i

Then

w = z - 1 + i = 4/5 - 3/5 i

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Which of the following situations MAY cause someone to use substitution, in order to solve a system of equations?A. An exact solution is not needed.B. One of the equations may easily be solved for a variable.C. An exact solution is needed.D. Both of the equations are solved for one variable.
Write y=x^2-18x+83 in vertex form. Then identify the vertex.
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The formula below gives D, the demand for concert tickets when the price of each ticket is P dollars. D(p)=2000-4p-p^2
What's the value if D(15)

Answers

D(15)=1715
D(15)=2000-4(15)-15^2
You do this because p=15 and you know this because 15 is inside the parentheses by d (D(p))

If you wanted to use the numeric key pad to divide 100 by 2, you would type _____.2/100
100-2
100*2
100/2

Answers

For this case we have the following division:

$\frac {100} {2}$

We want to rewrite the problem in an equivalent way.

For this, we can use the following symbols that represent a division.

We have then:

$\frac {100} {2} =$ 100 ÷ 2

$\frac {100} {2} = 100/2$

Answer:

If you wanted to use the numeric key pad to divide 100 by 2, you would type 100/2

which are the roots of the quadratic function f(b) = b2 – 75? check all that apply. b = 5 square root of 3 b = -5 square root of 3 b = 3 square root of 5 b = -3 square root of 5 b = 25 square root of 3 b = -25 square root of 3

Answers

The answers are b = 5 square root of 3; b = -5 square root of 3. f(b) = b^2 – 75. If f(b) = 0, then b^2 – 75 ) 0. b^2 = 75. b = √75. b = √(25 * 3). b = √25 * √3. b = √(5^2) * √3. Since √x is either -x or x, then √25 = √(5^2) is either -5 or 5. Therefore. b = -5√3 or b = 5√3.

Answer:

$b=5√(3)$ and $b=-5√(3)$ are the roots of given quadratic equation.

Step-by-step explanation:

Given quadratic equation is $f(b)=b^2-75$

We have to check all the given options.

If the value of f(b) gives 0 when put the value of b in above equation then only that b value is the root of quadratic equation.

$b=5√(3): (5√(3))^(2)-75=75-75=0$

$b=-5√(3): (-5√(3))^(2)-75=75-75=0$

$b=3√(5): (3√(5))^(2)-75=45-75=30\neq 0$

$b=-3√(5): (-3√(5))^(2)-75=45-75=30\neq 0$

$b=25√(3): (25√(3))^(2)-75=1875-75=1800\neq 0$

$b=-25√(3): (-25√(3))^(2)-75=1875-75=1800\neq 0$

hence, only first two values $b=5√(3),-5√(3)$ gives the value of f(b)=0 .

⇒ $b=5√(3)$ and $b=-5√(3)$ are the roots of given quadratic equation.

Translate the phrase into an algebraic expression.
3 times b

Answers

Answer:

Step-by-step explanation:

It`s just . . . 3b lol

When numbers and variables multiply, they are put in the form of (integer)(variable). They phrase can only be further simplified if there is a number substitution for b.

A student randomly draws a card from a standard deck and checks to see if it is his favorite suit. He then returns the card to the deck, shuffles, and repeats the experiment. He performs the experiments 30 times. Can the probability of drawing his favorite suit be found by using the binomial probability formula? Why or why not?Yes. The events are dependent; however, the 5% guideline can be applied to this situation.
No. The trials are fixed, but the probability of success changes for every trial.
No. The probability of success remains the same for every trial, but the trials are not fixed.
Yes. The outcomes can be classified into two categories, the trials are fixed, and the events are independent.

Answers

Answer:

Yes. The outcomes can be classified into two categories, the trials are fixed, and the events are independent.

Step-by-step explanation:

Hope this helps!!

There were 45 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 3/5 of the remaining runners dropped out. How many runners finished the race?

Answers

45/3=15 45-15=30 30/5=6 3x6=18 30-18=12 the answer is 12

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