solve the equation by factoring. (z^2 - z - 6 = 0) a. z = –2 or z = 3 b. z = 2 or z = 3 c. z = –2 or z = –3 d. z = 2 or z = –3. (50 POINTS PLEASE HELP)

Answers

Answer 1

Answer: (z + 2)(z - 3)

Step-by-step explanation:

First, we have 1 as a coefficient on z², so we multiply that by -6, which gives us -6. Now we must find out what two numbers when multiplied, give us -6, and when added together, give us -1 (z's coefficient). Going through -6's factors, I got -3 and 2 since we need a negative one when they are added together. Now we can input our values:

(z - 3)(z + 2).

Double checking, we get the starting equation, which means our factorization was correct, and so is the solution.

Note: it does not matter which binomial comes first because you will get the same answer regardless of its position.


Related Questions

If you have 584 packages of hard candy to rebox for shipment to a discount store and you can pack 12 packages in each box, how many boxes will you need ?

Answers

Answer:

48.6666 round up to 49

Step-by-step explanation

do 584 divided by 12 equals 48.6666 then round up to 49

Answer:

49

Step-by-step explanation:

What you do is 584 divided by 12. That will give you 48.6666. You can’t have 48.6666 boxes so you round up. You will need 49 boxes.

A rectangle has an area of 171 square meters. Its width is ten meters less than the length. Find the measures of the length and width of the rectangle.

Answers

Step-by-step explanation:

The area of a rectangle is 171 m²

Let l is the length and b is the width of the rectangle

It width is 10 m less than the length. So,

b = l-10 ...(1)

Area of a rectangle is given by :

[tex]A=l\times b\\\\171=l(l-10)\\\\l^2-10l=171\\\\l^2-10l-171=0\\\\l^2-19l+9l-171=0\\\\\text{taking common together}\\\\l(l-19)+9(l-19)=0\\\\(l-9)(l-19)=0[/tex]

or

l = 9 m or l = 19 m

If l = 9 m,

b = 9-10 = -1 m (can't be possible)

If l = 19 m

b = 19-10 = 9 m

So, the length an the breadth of the rectangle is 19 m and 9 m respectively.

Which ones no long answer just which one

Answers

A,C,D

(going top left to bottom right)

(a) b

(c) (d)

e f


What is the approximate ratio of the diameter of the Sun to the diameter of
Mars?
A. 5 x 10^-3
B. 5 x 10^2
C. 2 x 10^2
D. 2 x 10^3

Answers

not sure how to help because there is no photo

The linear parent function is f(x)=

Answers

Answer:

let's see...

Step-by-step explanation:

The linear parent function is :

[tex]f(x) = a \: x + b[/tex]

Where a is the slope of the line and b is the width of the origin.

Answer:

f(x) = x

Step-by-step explanation:

GIVING OUT BRAINLIEST TO FIRST CORRECT ANSWER✅

Answers

Answer:

Option 3

Step-by-step explanation:

f inverse =

[tex] \frac{3x - 15}{4} [/tex]

solve this equation, and show work. worth 40 points.

Answers

Answer:

[tex]r=-3/5=-0.6[/tex]

Step-by-step explanation:

We have the equation:

[tex]6^{-3r}=6^{2r+3}[/tex]

Since their bases are the same, the exponents must be equivalent. So:

[tex]-3r=2r+3[/tex]

Solve for r, subtract 2r from both sides:

[tex]-5r=3[/tex]

Divide both sides by -5:

[tex]r=-3/5=-0.6[/tex]

So, the value of r is -3/5.

And we're done!

m - 6 > -9
Solve the inequality

Answers

Answer:

m> -3

Step-by-step explanation:

m-6 > - 9

you use inverse opperations and you add six to the other side.

m-6 > - 9

+6       +6

m > -3

Unit 1 Cumulative Assessment
Multiple Choice
Let f(x) = x2 and g(x) = x - 6. What is f-g?
a
A. X²-6
B. x2 - 36
O
C. x2 - 12x - 36
D. x2 - 12x + 36

Answers

The answer is D good luck



Which function describes the graph?
2
y= 5x+1
c.
2
y = 5x-1
b.
2
d.
2
y=5x+1
y=54-1

Answers

Answer: A

Step-by-step explanation:

The y intercept is positive 1, so it’s not C or D

The slope is positive because it’s going up from left to right so it’s not B

Luke had $9. He had to spend 3/4 of it for a birthday gift. How much cash money did
he spend?

Answers

Answer:

He spent $2.25.

Step-by-step explanation:

Multiply $9 by 3/4 and we get $6.75.

Now subtract $6.75 from $9.

We get $2.25

There are four $20 bills, six $10 bills, eight $5 bills, and two $1 bills in your wallet. You select one bill at random. What is the expected value for this experiment? Must be answered in terms of statistics and probability please. Thank you

Answers

Answer:

total no. of possibilities =20

Step-by-step explanation:

probability of $20 bill=4/20=1/5

probability of $10 bill=6/20=3/10

probability of $5 bill=8/20=2/5

What is the value of (x2+ y 2) + 2 when x = 4 and y = 6?

Answers

Answer:

22

Step-by-step explanation: put the four where the x is and multiply it by two and you get 8. Do the same with 6 where the y is and you get 12. add those two together and you get 20. The add the two out of the perentesis and get 22. (brainlist plz)

PLEASE HURRY!
Evaluate the following expression.
Your answer must be exact.

Answers

Answer:

1

Step-by-step explanation:

= [tex](-\frac{\sqrt{3}}{2} - \frac{1}{2}i)^1^2[/tex]

= [tex](-\frac{\sqrt{3}}{2} - \frac{i}{2})^1^2[/tex]    

= [tex](\frac{\sqrt{3} -i}{2})^1^2[/tex]

apply the exponential rule:

    ([tex]-\sqrt{3}-i[/tex])¹²

=  --------------

         2¹²

note: ([tex]-\sqrt{3}-i[/tex])¹² = 4096

= 4096

  4096

= 1

or numbers 8a–8c, choose Yes or No to indicate whether the statement is correct.
15 points
Yes No
8a. 1,289 ÷ 22 is 58 r13.
8b. 189 ÷ 17 is 11 r2.
8c. 1,427 ÷ 13 is 190 r1.
8a. 1,289 ÷ 22 is 58 r13.
8b. 189 ÷ 17 is 11 r2.
8c. 1,427 ÷ 13 is 190 r1.

Answers

Answer:

1,289 divided by 22 is 58 r13

Step-by-step explanation:

State all integer values of xx in the interval \left[-1, 5\right][−1,5]

Answers

Answe67

Step-by-step explanation:

Mr. Howard lost money on his investments at a rate of $7 per day. Which expression shows how much money he lost over the course of 5 days?

Answers

Answer:

7 x 5 = 35 or the amount lost

Step-by-step explanation:

1 ft. = 12 in
Convert 4 feet to inches.
Convert 48 inches to feet.

Answers

Answer:

48 inches, 4 feet

Step-by-step explanation:

since each foot is 12 inches and we have 4 feet, we can multiply both numbers to convert 4 feet to inches. 12*4= 48 inches

to convert 48 inches to feet, we can divide by 12 since 12 inches is a foot. 48/12=4 feet

9.215
627
How to work the problem

Answers

Answer:

multiply

Step-by-step explanation:

Multiply 9.215 times 627 I think I’m not good at math lol

Peter has a part time job in factory and he can work 6 1/2 hours a day while his friend Joseph can work 1 2/3 hours more than Peter.how many hours can Joseph work more than Peter?

Answers

Given parameters:

Number of hours worked by Peter = 6.5hrs

His friend Joseph works [tex]1\frac{2}{3}[/tex] hours more than Peter;

Unknown:

Number of hours Joseph can work more than Peter = ?

This problem is pretty straight forward.

We see from the given parameters, it was explicitly stated that Joseph, the friend of Peter works [tex]1\frac{2}{3}[/tex] more hours .

Therefore, Peter's friend worked [tex]1\frac{2}{3}[/tex] more hours.

The range of the following relation R(3,-2), (1, 2), (-1, -4),(-1, 2)} is {-1, 1, 3) {-1, -1, 1.3} (-4, -2, 2. 2) (-4, -2.2 without it saying brainly plus​

Answers

Answer:

{-4, -2, 2}

Step-by-step explanation:

Given relation

R {(3,-2), (1, 2), (-1, -4),(-1, 2)}

Its range is the set of second values in the pairs

{-2, 2, -4}

In the ascending order

{-4, -2, 2}

Answer:

{-4, -2, 2}

Step-by-step explanation:

The relation is {(3, -2), (1, 2), (-1, -4),(-1, 2)}

The range is all possible y values apart from any duplicates.

y = -2, 2, -4, 2

Removing all duplicates we get.

y = -2, 2, -4

Put them in order.

y = -4, -2, 2

Best of Luck!

(g + 12) ÷ h



Answer please

Answers

Answer:

g+12/4

Step-by-step explanation:

A scientific calculator costs $3.50 today. I remember when they cost about $75. What is the percent decrease in the price of a scientific calculator?

In other words: The decrease in price is what percent of the original price?

% Decrease= (Decrease in price(New price-Old Price))/(Original Price(old price))×100

Answers

Answer:

A scientific calculator costs $3.50 today. I remember when they cost about $75. What is the percent decrease in the price of a scientific calculator?

In other words: The decrease in price is what percent of the original price?

% Decrease= (Decrease in price(New price-Old Price))/(Original Price(old price))×100

Solve the following system of equations.
6x -5y=13 & 9y-15+2x=0

Answers

Answer:

x = 3

y = 1

Step-by-step explanation:

Hi !

6x - 5y = 13

9y - 15 + 2x = 0

6x - 5y = 13

2x + 9y = 15 | ×(-3)

6x - 5y = 13

- 6x - 27y = - 45

add

6x - 6x - 5y - 27y = 13 - 45

- 32y = - 32 | ×(-)

32y = 32

y = 1

replace y = 1

6x - 5(1) = 13

6x - 5 = 13

6x = 13 + 5

6x = 18

x = 3

Good luck !

Find the slope of a pipe that slopes down 1/3 inch per foot

Answers

Answer:

-1/36

Step-by-step explanation:

The slope is of [tex]\mathbf{-\frac{1}{3}}[/tex]

----------------------

We use a linear function to understand this question, which has equation given by:

[tex]y = mx + b[/tex]

The slope is m, which is the rate of change, that is, how much y changes when x changes by 1.In this problem, for each foot, the pipe slopes down [tex]\frac{1}{3}[/tex] of an inch. Thus, the slope is [tex]m = -\frac{1}{3}[/tex]

A similar problem is given at https://brainly.com/question/18594541

What do you have to know about any segments and angles in a figure to decide whether the figure has line symmetry?

Answers

Answer:

Explained below.

Step-by-step explanation:

When drawing line of symmetry on a figure and reflecting, we have to know that pairs of segments in that figure must have the same length while pairs of angles must have the same measurement. This is to ensure that half of that figure must concise with the other half part of it when that figure is folded across a line of symmetry.

What is the solution for the equation?

-5/2 = 3/4 + n

Answers

Answer: N= -1/4

Step-by-step explanation:

2 can go into 5 2 times which give you 2 wholes and you have 1 left over

Since you have 3/4 that extra one left would give you a whole because you can add it to the 3/4.

Which is bigger 1.30 or 1.3

Answers

Answer:

They are both exactly the same

Step-by-step explanation:

1.30000000000000000000000

is the same as

1.3

the 0s dont matter unless they are not at the end

Joe has ​$800 to spend on a new dining room table and chairs. If the sales tax is 8%​, how much can he afford to spend on the table and​ chairs?

Answers

Answer:

no

Step-by-step explanation:

800x8%=64

64+800=864

Answer:

$736

Step-by-step explanation:

800 x (100% - 8%)

800 x 92%

=736

3
1
1 point
Solve the equation below. Round your answer to the nearest hundredth (2 decimal places) if needed.
4
X/15 +15=19
Type your answer.
5

Answers

Answer: X= 570

Step-by-step explanation:

      X

  _____         = 19

15   +   15  

Multiply both sides by 30

      30X

  _____         = 19 x 30

15   +   15  

Simplify

x=570

Other Questions
What was the average population of ancient Athens Abolitionists, who were active in the North before lhe Civil War, believed in what?A. doing away with slaveryB. helping slave ownersC. helping the aboriginal peoplesD. doing away with alcohol Picture attached below. Please help. A grocery store is making fruit baskets using 144 apples, 108 oranges, and 90 pears. Each basket will be identical. What is the greatest number of fruit baskets the store can make using all the fruit? The early success of Microsoft was cemented by the release of which software product:A) Altair BASICB) MS-DOS for the IBM PCC) IBMs OS/360D) P/M Find the coordinates of Point R so that it is 3/7 the distance from D to C. 15(10 Points)3555 The question is: what is the approximate area of the circle when 3.14 is used for ? State of the two triangles are congruent. if they are, state how you know. There are 52 contacts in your phone. The only family members' numbers you have are your dad's, mom's, and brother's. What are the odds of selecting a number in your phone that is not your family? Write your answer as 1:2 which is reduced as much as possible. Simplify each expression using the distributive property and combining like terms7(1 - 4x) + 4x =6(v - 5) +1 =- 7(8 + 8x) - 6x =- 3(6x +9) + 1 =- 2(-6+ 5k) - 1 = When the world has two super powers, the world is? You typed a 600 word essay in 12 minutes. Let w be the number of words you can type in one minute. Can w be 60? What color are corals when they expel their zooxanthellea?pale translucent pinkclear with a white skeletoncreamy white Can someone help me with this? (20 points if answered) And I will mark the 1st one with brainliest because you have a fat and beautiful brain :) Is soccer practice a common noun?Please provide an explanation. Triangle CAT was rotated to create triangle CAT. Describe the transformation using details and degrees A large software company has developed the most popular word processoron the market. Almost every consumer and business in the country uses itsproduct, which has forced most of its competitors out of business. If a newcompany tries to promote an innovative word processor of its own, the largecompany usually buys that business right away to eliminate the competition.2This situation best illustrates which market condition? Which of the following examples contains a comedic anagnorisis?A) Wilbur commits crimes in order to support his family. After some years, he realizes he needs to stop. Its too late, however. The next day, he will be arrested by the police and lose everything.B) Cheri has been socially anxious her whole life. After many failed attempts at changing her personality, she finally realizes all she needs to make friends is to be herself. She is accepted by society, and her new friends celebrate her with a birthday party.C) Sarah has known Kyle since they were teenagers, but Sarah has always known she wanted something more. She could never decide what, though, so she and Kyle enjoyed life to the fullest as best friends. That is, until Kyle fell in love with Jennifer. Seeing them together, Sarah realized that she is in love with Kyle herself and decided to tell him so. Sarah and Kyle live happily ever after. can you help me find the answer please importance of Surya Namaskar