5. Solve the equation z^2 + 4z - 9 = 0 by completing the square.
A. Z = 2 + N13
B. Z= 4 + 113
C. Z=-2 + V13
D. z = -4 + 13

Answers

Answer 1

Answer:

A. Z = 2 + N13

Step-by-step explanation:

Let's solve your equation step-by-step.

0=z2+4z−9

Step 1: Subtract z^2+4z-9 from both sides.

0−(z2+4z−9)=z2+4z−9−(z2+4z−9)

−z2−4z+9=0

For this equation: a=-1, b=-4, c=9

−1z2+−4z+9=0

Step 2: Use quadratic formula with a=-1, b=-4, c=9.

z=

−b±√b2−4ac

2a

z=

−(−4)±√(−4)2−4(−1)(9)

2(−1)

z=

4±√52

−2

z=−2−√13 or z=−2+√13


Related Questions

given s=3x+t/r, rearrange the equation for x, in terms of r,s, and t

Answers

9514 1404 393

Answer:

  x = (rs -t)/(3r)

Step-by-step explanation:

  [tex]s=3x+\dfrac{t}{r}\\\\s-\dfrac{t}{r}=3x\\\\\dfrac{rs-t}{3r}=x\\\\\boxed{x=\dfrac{rs-t}{3r}}[/tex]

Determine the number of real solutions to the quadratic equation -9m^2-8m-3=0

Answers

Step-by-step explanation:

Let's solve your equation step-by-step.

−9m2−8m−3=0

For this equation: a=-9, b=-8, c=-3

−9m2+−8m+−3=0

Step 1: Use quadratic formula with a=-9, b=-8, c=-3.

m=

−b±√b2−4ac

2a

m=

−(−8)±√(−8)2−4(−9)(−3)

2(−9)

m=

8±√−44

−18

Answer:

No real solutions.

The given equation has no real solutions.

We have given that the quadratic equation

[tex]-9m^2-8m-3=0[/tex]

For this equation: a=-9, b=-8, c=-3

[tex]-9m^2-8m-3=0[/tex]

Step 1: Use quadratic formula with a=-9, b=-8, c=-3.

What is the formula for the quadratic roots?

[tex]x=\frac{-b \±\sqrt{b^2-4ac}} {2a}[/tex]

Therefore we have,

[tex]x=\frac{-b \±\sqrt{b^2-4ac}} {2a}[/tex]

[tex]x=\frac{-(-8)\±\sqrt{(-8)^2-4(-9)(-3)} }{2(-9)}[/tex]

[tex]x=-\frac{4}{9} -i\frac{\sqrt{11} }{9}[/tex] and [tex]x=-4/9+i\frac{\sqrt{11} }{9}[/tex]

This equation has no real solutions.

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Expand $(2t - 7)^2.$

Answers

Answer:

4t^2 - 28t + 49

Step-by-step explanation:

(2t - 7)^2

Use FOIL.

(2t - 7)^2 =

= (2t - 7)(2t - 7)

= 4t^2 - 14t - 14t + 49

Combine like terms.

= 4t^2 - 28t + 49

(2t - 7)² on expansion results in 4t² - 28t + 49.

What are Algebraic Identities?

The algebraic equations which can be used for all variables in the equation is called Algebraic identities. These identities used in factorization of polynomial expressions as well as in the computation of algebraic expressions.

Some of the standard algebraic identities are:

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b) (a - b)

Here we have the expression (2t - 7)².

Using the second identity (a - b)² = a² - 2ab + b², we can write,

(2t - 7)² = (2t)² - (2 × 2t × 7) + 7²

= 4t² - 28t + 49

Hence the expression (2t - 7)² is expanded to 4t² - 28t + 49 using the algebraic identity (a - b)² = a² - 2ab + b².

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Which equation describes the line shown in the graph?

y = - 5x +5/8
y = - -1/5x+8/5
y = - 5x +3/2
y= -1/5x+3/2

Answers

We need to see the graph ms girl
I’d need to see the graph

who wants brainlest?

what is one million + 1 ?

who made the song holy moly dounut shop?

what is eqivalent to 2x2

bonus question:
(five stars)
do you want brainlest
yes or no

i still have an answer slot open for my last question...........

Answers

1,000,001
blueface
4
yes
.............

Answer:

me

1,000,001

Blueface

4?

Yes

ok

Step-by-step explanation:

Which point is located at (0.25,-0.5)?

Answers

The answer that you're looking for is point C.

Hope this helps! <3

Answer:

The person above me is correct it is C

Step-by-step explanation:

Because it is the only one with a positive and negative. And of course coordinates are correct.

Hope this helps! :)

Mohammed used an area model to show 4x35

What is the missing number

Answers

Answer: 140

Step-by-step explanation:

plz help thank you thank you

Answers

Answer:

B

Only one that goes over once and up twice

Answer:

b is the answer I believe

rs= 4x-9, st= 19, rt=8x-14

Answers

The value of x is 6

How to determine the value

From the information given, we have that;

Line RS = 4x - 9Line ST = 19Line RT = 8x - 14

It is important to note that line RT is a line with segments RS and ST and S and the line between R and T

This can be expressed as;

RS + ST = RT

substitute the values into the equation, we have;

4x - 9 + 19 = 8x - 14

collect like terms

4x - 8x = -14 + 9 - 19

subtract like terms

-4x = -24

make 'x' the subject of formula

-4x/-4 = -24/-4

x = 6

Thus, the value of x is 6

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Which of the following situations are equal to 40%? Select all that apply.

A) 5 out of 20
B) 6 out of 15
C) 10 out of 25
D) 45 out of 90
E) 32 out of 80

Answers

Answer:

C option

Step-by-step explanation:

please mark me brainliest

Answer is: c, 10 out of 25

which expression is equivalent to 4(12+5)+3?

Answers

Answer:

I think it is 17/85

Step-by-step explanation:

1/5. = 2/10. = 3/15. = 4/20. = 5/25. = 6/30. = 7/35. = 8/40. = 9/45. = 10/50. = 11/55. = 12/60. = 13/65. = 14/70. = 15/75. = 16/80. = 17/85

Of the storage space available on a new tablet computer, 1/8 is used by the operating system. What percentage represents the remaining storage space available?

Answers

Answer

87.5

Step-by-step explanation:

Can someone help please

Answers

Answer:

<

Step-by-step explanation:

Answer:

> should be the correct answer as the one on the left is a larger decimal.

Write (p^2)^3 without exponents

Answers

Answer:

p^6

Step-by-step explanation:

We are using rule power to a power. x^2^3 = x^(2*3)

p^6

Hope this helps plz hit the crown :D

PLEASE HELP!! (QUESTION 1)

Answers

9514 1404 393

Answer:

  a. reflection over the x-axis

  b. vertical expansion by a factor of 2

  c. right shift 3 units

  d. shift upward 4 units

Step-by-step explanation:

It is a good idea to become familiar with what these various factors do. You will see them repeatedly.

__

a. Multiplying a function by a negative value reflects its graph over the x-axis.

__

b. A multiplier of 2 will expand the graph vertically by a factor of 2.

__

c. Subtracting 3 from each x-value will shift the graph right 3 units.

__

d. Adding 4 to each function value will shift the graph up 4 units.

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 55 pounds each, and the small boxes weigh 25 pounds each. There are 125 boxes in all. If the truck is carrying a total of 4775 pounds in boxes, how many of each type of box is it carrying?

Answers

There are 70 small boxes and 55 big boxes.

How to calculate the equation?

Let x = small box

Let y = large box

The equation will be:

x + y = 125 ....i

25x + 55y = 4775 ..... ii

From equation i, y = 125 - x.

25x + 55y = 4775

25x + 55(125 - x) = 4775

25x + 6875 - 55x = 4775

Collect like terms

25x - 55x = 4775 - 6875

30x = 2100

x = 2100/30

x = 70

Since x + y = 125

y = 125 - 70 = 55

Therefore, there are 70 small boxes and 55 big boxes.

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Henri's bill at a restaurant is $19.62. He wants to leave a tip of 20%, or , of the bill. To find the exact amount of the tip, he should multiply the bill by ____. A good estimate for the amount of the tip is
$4.00. A good estimate for the total bill, including the tip, is
$24.00.

Answers

Answer:

0.2

Step-by-step explanation:

19.62*0.2

Multiply by 0.2

Hope this helps plz hit the crown :D


A drone costs $300 plus $25 for each set of extra propellers. What is the cost of a drone and 4 extra sets of
propellers? (a) Write a function that will showthe cost.
300 + 4(25) = 400
(b) What is the independent variable in this situation?
are

Answers

a) 300+25x or 300+25(4)=400
b) 300 would be the unchanged or control variable, 25x would be the independent variable and 400 would be the dependent variable.

A player throws a bean bag from the height of 3 feet with an initial velocity of 34 feet per second at an angle of 30º.

The parametric equation that represents this situation is __

A. x = (34cos(30°)t and y = –16t2 + (34sin(30°))t

B. x = (34cos(30°)t and y = –16t2 + (34sin(30°))t + 3

C. x = (34cos(30°)t + 3 and y = –16t2 + (34sin(30°))t + 3

The bean bag’s path is part of a curve that is a __

To the nearest second, the bean bag was in the air for __
second(s).

Answers

Answer:

B, parabola, 1

Step-by-step explanation:

right on edge

The bean bag’s path is part of a curve that is a parabola and to the nearest second, the bean bag was in the air for 1 second(s).

What is projectile motion?

Projectile motion is the motion of the body, when it is thrown in the air taking the action of gravity on it.

The parametric equation for x and y can be given as,

[tex]x =x_o+ v_o\cos(\theta)t \\y =y_o -\dfrac{1}{2}at^2 + (v_o\sin(\theta))t[/tex]

Here, (vo) is the initial speed, (h) is the height and θ is the angle of throw.

The player throws a bean bag from the height of 3 feet with an initial velocity of 34 feet per second at an angle of 30º.

Let suppose the time is t second. Thus, the parametric equation that represents this situation are,

[tex]x = (34\cos(30^o)t \\y = -16t^2 + (34\sin(30^o))t + 3[/tex]

The bean bag’s path is part of a curve. This path is in the form of parabola.

To the nearest second, the bean bag was in the air for 1 second(s).

Thus, the bean bag’s path is part of a curve that is a parabola and to the nearest second, the bean bag was in the air for 1 second(s).

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Can anyone help me out with these before 10:00 I’d greatly appreciate it ty!! :)

Answers

Answer:

The question and many

I will give you a tip

Use the formulary they use for calculating angle on a straight line that is 180 and angle at a point

Answer:

Please see the picture below

Step-by-step explanation:

Each of there pictures either equal 90 or 18o degrees.

Priya bought x grams of flour. Clare bought 3/8 more than that. Select one equation that represent the relationship between the amount of flour that Priya bought, , and the amount of flour that Clare bought,​

Answers

Answer:

The relationship ship equation:

y = x + 3/8x

Step-by-step explanation:

Let 'x' be the grams of flour Priya bought

Let Clare bought 'y' grams of flour

As Clare bought 3/8 more than that.

so

y = x + 3/8x

Thus, the relationship ship equation:

y = x + 3/8x

i will mark you brainliest for answering

Answers

Answer:

28%

Step-by-step explanation:

Answer:

25% of the questions were correct

Step-by-step explanation:

14+42=56

14/56=0.25

What is the equivalent of 6 3/10?

Answers

El equivalente los puedes usar con 3x56=b7

Answer:

63/10

Step-by-step explanation:

This is a mixed freaction therefore you would multiply the whole number by the denominator and add the numerator. The answer then being:

6x10+3

(63)

Good luck on your assignment!

What is the difference between a credit score and a credit rating? a. A credit score and a credit rating are the same thing. b. Acredit score is a measure of how much debt you have, anda credit rating is a measure of your creditworthiness. C. A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others. d. Acredit score is a measurement of your creditworthiness from one major credit bureau, and a credit rating is a measurement of your creditworthiness from all three major credit bureaus. whats the answer​

Answers

Credit rating is expressed with alphabets, whereas credit score is expressed with numbers.

Gwen bought a hardcover book for $16.50 not including taxes. Her mother told her the tax was 8% on all purchases. What was the amount of tax Gwen paid? ( I need thiissss)

Answer chooses:
1.48, 1.32, 1.28, 0.88

Answers

Answer:

1.32

Step-by-step explanation:

because if you multiply it you get 1.32

Can sum1 help plz!!

Answers

Answer:

5

Step-by-step explanation:

The rate is 5p/m

200 / 40 = 5 and so on...

Answer:

5 calories/minute.

Step-by-step explanation:

To find the rate, take one of the data sets (in my example, 40, and 200) and just divide the number of calories by the minutes to find your unit rate.

200/40

= 5

When Suzy walks past the coffee shop, she can pick up their free wi-fi signal, which extends 60 ft from the shop. She starts walking toward the coffee shop at a rate of 3 ft/sec from her office building 180 ft away. After how many seconds will she pick up the signal? If she keeps on walking past the coffee shop, after how many seconds will she lose the signal?

Answers

The number of seconds Suzy will pick up the signal if she starts walking toward the coffee shop at a rate of 3 ft/sec from her office building 180 ft away is 40 seconds

Distance

Signal distance = 60 ftSuzy's speed = 3 ft/secDistance between her office building and the coffee shop = 180 ft

After how many seconds will she pick up the signal between her office building and the coffee shop = (Distance between her office building and the coffee shop - Signal distance) / Suzy's speed

= (180 ft - 60 ft) / 3 ft/sec

= 120 ft / 3 ft/sec

= 40 seconds

After how many seconds will she lose the signal = Signal distance / Suzy's speed

= 60 ft / 3 ft/sec

= 20 seconds

Therefore, If she keeps on walking past the coffee shop, she will lose the signal after 20 seconds.

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The diagram represents 6x² - 7x + 2 with a factor of 2x
1.
2x
6x
-4x
19
-3x
2
What is the other factor of 6x² - 7x + 2?
O 3x-2
O 3x-1
O3x + 1
O3x+2

Answers

The other factor of the quadratic equation [tex]6x^{2} -7x+2[/tex] is 3x-2. Since it is a quadratic equation we can get the other factor by factorization.

Factorization of quadratic equation is a way of finding the roots of the equation.The simple method of factorizing is we first find the product of the coefficient of [tex]x^{2}[/tex] and the constant, then we have to get the product by rearranging the coefficient of x, if the constant has a positive sign then we try to get the product by sum and if the sign is negative then we try to get the product by subtraction. After rearrangement we divide the equation in two parts and take the common factors from each part.

One of the factors of the equation is 2x-1, we have to find the other factor.

[tex]6x^{2} -7x+2=0\\6x^{2} -3x-4x+2=0\\3x(2x-1)-2(2x-1)=0\\(2x-1)(3x-2)[/tex]

The other factor of the equation is 3x-2.

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Please help me with my homework :)

Answers

Step-by-step explanation:

x = 36

y = 48

z = 72

hope it helps

x is 36
y is 48
z is 72

Select all the relations which represent a function.
A. (1,3), (2,5), (2,7), (4,9)
B. (1,3), (2,5), (3,7), (4,9)
C. (1,3), (1,5), (1,7), (4,9)
D. (1,3), (2,3), (3,3), (4,3)
E. (1,2), (2,5), (2,1), (4,5)

please help ​

Answers

Answer:

(B), (D)

Step-by-step explanation:

A. (1,3), (2,5), (2,7), (4,9) NOT a function

B. (1,3), (2,5), (3,7), (4,9) - YES, it's a function

C. (1,3), (1,5), (1,7), (4,9) NOT a function

D. (1,3), (2,3), (3,3), (4,3) - YES, it's a function

E. (1,2), (2,5), (2,1), (4,5) NOT a function

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