6. Determine the number of solutions for each of the equations below. Be sure to
justify your conclusions. *
(z – 8)2 = -1
A. one solution
B. infinitely many solutions
C.no solution
D. x = 9

Answers

Answer 1

Answer:

C. no solution

Step-by-step explanation:

Determine the number of solutions for each of the equations below. Be sure to

justify your conclusions. *

(z – 8)2 = -1

A. one solution

B. infinitely many solutions

C.no solution

D. x = 9

Given the expression;

(z – 8)^2 = -1

we are to find the nature of the solution;

Take the square root of both sides

(z – 8)^2 = -1

√(z – 8)^2 = √-1

z- 8 = √-1

Note that √-1 will give a complex number i to have;

z = 8 ± i

This therefore shows that the equation has no real solution.


Related Questions

Which of the following equations are linear?
Hint: Two of them are linear.

1. y = 7/x
2. y = 3x + 4
3. 3x + 4y = 24

Answers

Final Answer: They are all Linear

Steps/Reasons/Explanation:

Question: Which of the following equations are linear?

1. [tex]y = \frac{7}{x}[/tex] Linear

2. [tex]y = 3x + 4[/tex] Linear

3. [tex]3x + 4y = 24[/tex] Linear

Because a linear equation is an equation of a straight line, it means that the degree of a linear equation must be 0 or 1 for each of its variables.

~I hope I helped you :)~

For the right triangle shown, which equation is correct?
1. all answers are correct
2. cos(53) = x/16
3. cos(53) = sin(37)
4. sin(37) = 16/x

Answers

Answer:

3.37

Step-by-step explanation:

x+37+16+90=180

x+143=180

×=180-143

x = 37

Acardboard popcom container is shaped like a cone that is 11 inches high and has a radius of 2.5 inches What is the volume of the container? Use 3 14 for pi Round your answer to the nearest hundredth​

Answers

Answer:

71.99 in³

Step-by-step explanation:

The formula to apply is that of volume of a cone where;

V=π*r²*h/3  --------where V is the volume of the container, r is the radius of the container  and h is the height of the container

Given that : π=3.14 , r is 2.5 inches , h= 11 inches then apply values to the container as;

V= 3.14 * 2.5²* 11/3

V= 3.14 * 6.25 * 3.67

V= 71.9948

V= 71.99 in³

Answer:

Volume of Cone= 71.9583

Step-by-step explanation:

Volume of Cone= (1/3)πr²h

Volume of Cone= (1/3)×3.14×(2.5)²×11

Volume of Cone= 71.9583

Find the area and perimeter of the original planned patio and the new planned patio. MIT HINDI MT Luis decided to make the patio 2 feet longer. The drawing shows his new plans for the patio. New planned patio 8 feet 10 feet 2 feet​

Answers

Answer:

original

perimeter - 36 feet

area - 80 square feet

new patio

perimeter - 40 feet

area - 96 square feet

Oscar is selling tickets to a school play. Adult tickets cost $8 and student tickets cost $7. If he collected $245 by selling 34 tickets, how many adult and student tickets did he sell?

Answers

Answer:

Adult= 7 tickets

student= 27 tickets

Step-by-step explanation:

Step one:

let adult tickets be x

and students be y

Adult tickets cost $8 and

student tickets cost $7

So

[tex]8x+7y=245-----------1\\\\x+y=34-----------2[/tex]

Step two:

from equation 2

x=34-y

put the value of x in equation 1

[tex]8(34-y)+7y=245\\\\272-8y+7y=245\\\\272-y=245\\\\-y=245-272\\\\-y=-27\\\\y=27[/tex]

put y= 27 in equation 1

[tex]x+27=34\\\\x=34-27\\\\x=7[/tex]

What is the answer to 3/4x1/7

Answers

Answer:0.1072

Step-by-step explanation:

Siri

EMERGENCY PLEASE HELP! Which set of ordered pairs does not represent a function?
A. {(1,2), (7,8)}
B. {(-4,4),(-2,2),(-1, 1)}
C. {(1,1),(1,2)
D. {(-5,-4),(3,6)}
E. {(0,1),(1, 1), (2, 1)}

Answers

Answer:

c.

Step-by-step explanation:

The X value 1 is repeated

plz help! will give brainliest!

Answers

x^6

When multiplying numbers in exponential form, if the number is the same, you can simply add the exponents:

x^2 * x^4 = x^(2+4) = x^6

Estimate 48% of 199o

Answers

Answer:

Not sure if this is a typo but

48% of 199=95.52

48% of 1990=955.2

Step-by-step explanation:

Answer: 95.52.

Explanation: First take 199 then do times 48, then you'd get 95.52. Hope that helps!

Select all the expressions that are equivalent to 9 + 7x – 3y.

Answers

Answer:

9 – (–7)x – 3y

Step-by-step explanation:

because - * - = +

so 9 – (–7)x – 3y = 9+7x -3y

PLSSSSSS I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Simplify the Expression:

[tex]\sqrt{9a^{2} }[/tex], if a<0

Answers

[tex]\sqrt{9a^{2}}=\sqrt{9}\sqrt{a^{2}}=3|a|[/tex]

As [tex]a < 0[/tex], [tex]|a|=-a[/tex], so [tex]3|a|=\boxed{-3a}[/tex]

Determine if the graph of the quadratic equation opens up or down and is wider or narrower than the graph y=x?


y = -x? +2

Answers

Answer:

y = -x^2 +2

Step-by-step explanation:

? means like add something in. Like ^2 is what I added in.

https://brainly.com/question/20359398. This is what I learned after this chapter. (Concept.) You can learn about it and get ahead if they'll learn this.

What is the perimeter of a rectangle with a height of 4 units and a length of 21 units?

A 75 units
B 44 units
С 25 units
D 50 units

Answers

Answer:

С 25 units

Step-by-step explanation:

hope this help

pick me as the brainliest

Answer:D

Step-by-step explanation:

At the first game of the Major League Baseball season, a statistician keeps track of every pitch that a player throws during the game. The statistician reported that the mean pitch speed was 80 miles per hour (mph) and the standard deviation of the serve speeds was 10 mph. Assume that the statistician also gave us the information that the distribution of pitch speeds was mound- shaped and symmetric. What percentage of the player's serves were between 80 mph and 100 mph

Answers

Answer:

47.725%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 80 mph

σ is the population standard deviation = 10 mph

For x = 80 mph

z = 80 - 80/10

z =0

Probability value from Z-Table:

P(x = 80) = 0.5

For x = 100 mph

z = 100 - 80/10

z = 2

Probability value from Z-Table:

P(x = 100) = 0.97725

Probability of the player's serves thay were between 80 mph and 100 mph is calculated as:

P(x = 100mph) - P(x = 80 mph)

= 0.97725 - 0.5

= 0.47725

The percentage of the player's serves that were between 80 mph and 100 mph is calculated as:

Converting to percentage:

0.47725 × 100 = 47.725%



I need help finding witch one is right

Answers

Answer:

I believe it's B!

Step-by-step explanation:

y=mx+b

y intercept is b

slope is m

y intercept is positive 5

slope is down 2 to the right 3

y= -2/3x+5

Answer:

The answer is B.

Step-by-step explanation:

In a slope form equation, y = mx + b where m represents gradient and b is y-intecept. In the graph above, the line shows a negative gradient and the y-intercept is 5. So the possible option is B.

4 1/3 Divided by 1/2

Answers

Answer: 26/3

Explanation: Convert 4 1/3 which is 13/3

13/3 divided by 1/2

13/3 * 2

13/3 * 2= 26/3

What is this? Please answer with an explanation

Answers

At 5 and you do this by setting the inside equal to 0 and solving for x

Answer:

x=9,30............etc

Step-by-step explanation:

if value of x=9 then

the function

value of f(x)=4

if x=30 then value of function f(x)=27

Sam’s height is 1.58 m. His younger brother Tom’s height is 0.4 m less than his height. What is Tom’s height?

A)1.58 m B) 1.54 m C)1.98 m D) 1.18 m

Answers

I think it’s a.........

Sam's height= 1.58m

Tom's height= 0.4m less than Sam's

= (1.58- 0.4)m

= 1.54m

A mercury thermometer records a temperature of 10°F at 9 a.m. If the temperature drops by 3°F every hour, what will be the temperature by 2 p.m.?​

Answers

Answer:

No

Step-by-step explanation:

_______ is the highest point in the entire graph.

A. relative maximum
B. absolute maximum
C. relative minimum
D. relative maximum​

Answers

Answer:

B

Step-by-step explanation:

Solve using substitution.
- x - y = -1
X = 2

Answers

- 2 - y = -1
Add 2
-y = 1
Y = -1

Answer:

x = 2

y = -1

Step-by-step explanation:

-(2) - y = -1

add 2

-y = 1

divide by -1

y = -1

Given f(x) = 2^x and g(x)=x+1, (fog)(x)=​

Answers

Answer:

(f ○ g)(x) = [tex]2^{x+1}[/tex]

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

(f ○ g)(x)

= f(g(x))

= f(x + 1)

= [tex]2^{x+1}[/tex]

Answer:

B

Step-by-step explanation:

What is 25% of 8. ??????????????????

Answers

Answer:

2

Step-by-step explanation:

1/4 of 8 = 25%

25% = 1/4

8 / 4 = 2

Will give brainliest

Answers

Answer:

B

Step-by-step explanation:

I just know it.

2/3 of a cake is divided between 6 friends. How much do they each get?

Answers

Answer:

4

Step-by-step explanation:

2/3 x6/1

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{6}{1}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{1}{6}[/tex]

To change the ÷ sign to a × sign, swap the denominators and numerators of the second fraction.

[tex]\frac{2}{3}[/tex] × [tex]\frac{1}{6}[/tex] = [tex]\frac{2}{18}[/tex]

Directly multiply. Numerators with numerators and denominators with denominators.

[tex]\frac{2}{18}[/tex] = [tex]\frac{1}{9}[/tex]

Divide the fraction by 2 to simplify it.

PLZ ANSWER IF U KNOW THE ANSWER​

Answers

the answer is the last one -27/(-3)-9 .

PLS HELP MY GRADE DEPENDS ON IT

Image is attached below

Answers

Answer: the first one

Step-by-step explanation: head math

Proving Triangles Similar CFU
Determine if the triangles are similar. If similar, state how and complete the similarity
statement. If not similar, select N/A for the last two responses.
F
יח
12
18
8
14
10
2
21
Are the triangles similar?
How are they similar?
Complete the similarity statement: AY FN - A

Answers

Answer:

yes

they are similar because they are proportionally related

YRW

16 liters to quarts (dry measure)

Answers

Answer:

16 litres =14.53 US qt dry

Step-by-step explanation:

Please mark my answer as a brainliest. ❤❤❤

1
For every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of
cornstarch. How many teaspoons of white vinegar are there for every tablespoon of cornstarch?
A. 1
5
В.
C 1
D. 5

Answers

5 divided by 2 so it’s 2.5

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, for every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of cornstarch.

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch = 2/5

= 0.4

Therefore, the number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ6

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