Solve the equation by factoring. z2 – 6z – 27 = 0

z = –3 or z = 9
z = –3 or z = –9
z = 3 or z = –9
z = 3 or z = 9

Answers

Answer 1

Answer:

The value of z = -3 or z = 9

Step-by-step explanation:

Given equation => z² – 6z – 27 = 0

=> z² - 9z + 3z - 27 = 0

=> z(z -9 ) +3 (z - 9 ) = 0

=> (z + 3) (z - 9)

=> z = -3 or z = 9

Answer 2

Answer:z = –3 or z = 9

Step-by-step explanation:


Related Questions

I need help please and please explain your answer.

Answers

Answer:

I think it is B or D

actually it is B i got 100%

Step-by-step explanation:

How to solve by completing the square??

x^2 +8x=33

Answers

We are given the equation x² + 8x = 33, and we need to solve it from completing the square, for which we will be following the below steps

Step 1 :- First, notice, what's the coefficient of x², if it's 1, then proceed to step 2, if not then divide both sides by the coefficient of x²

[tex]{:\implies \quad \sf x^{2}+8x=33}[/tex]

Step 2 :- Here, we need to develop a whole square in both sides somehow, so we have the coefficient of x, so add the square of half of coefficient of x on both sides :

[tex]{:\implies \quad \sf x^{2}+8x+{\bigg(\dfrac82\bigg)}^{2}=33+{\bigg(\dfrac82\bigg)}^{2}}[/tex]

Simplify both sides now :

[tex]{:\implies \quad \sf x^{2}+8x+(4)^{2}=33+(4)^{2}}[/tex]

Step 3 :- So now, here LHS is in the form of a² + 2ab + b², so we can just replace it by (a + b)², and we will keep simplifying RHS

[tex]{:\implies \quad \sf (x+4)^{2}=33+16}[/tex]

[tex]{:\implies \quad \sf (x+4)^{2}=49}[/tex]

[tex]{:\implies \quad \sf (x+4)^{2}=(\pm 7)^{2}}[/tex]

Step 4 :- As, power on both sides is 2, so we can just equate the bases

[tex]{:\implies \quad \sf x+4=\pm 7}[/tex]

Step 5 :- Equating x + 4 to 7, will yield x = 3, and equating it to -7, will yield x = -11, so we are now left with

[tex]{:\implies \quad \boxed{\bf{x=-11,3}}}[/tex]

Using the information in the table, draw a
graph of the relationship between t, the
time, and d, the total distance traveled by
the train, for a trip that lasted from 0 to 7
hours.

Answers

Answer:

Step-by-step explanation:

If two cars hit head on at 50 mph what is the force of the impact?

Answers

Answer:

100mph

Step-by-step explanation:

Pls helpppp thankssss

Answers

Answer:

D

Step-by-step explanation:

y=5x-2 since the formula is. y=mx+c

what digit 7 sits in this number 714,583​

Answers

Answer:

The hundred thousands place

Step-by-step explanation:

Answer:

The hundred thoudsands place; (700,000)

Step-by-step explanation:

The places of the number are listed below:

Hundred Thousands - 700,000
Ten Thousands - 10000
Thousands - 4000
Hundreds - 500
Tens - 80
Ones - 3

The digit 7 is in the hundred thoudsands place.

hope this helps!

can i have some help? subject is stretching and reflecting quadratic functions

Answers

Answer:

(5,5)

(-3,-15)

(6,-12)

(-2,8)

Step-by-step explanation:

Multiply the value of "a" with the coordinates.

#1

(1,1) and a=5

y=ax²

y=5(1)²y=5

Coordinates (1,5)

#2

(5,25) and a=-0.6

So

y=-0.6(5)²y=-0.6(25)y=-15

Coordinates (5,-15)

#3

(-2,4) and a=-3

So

y=-3(-2)²y=-3(4)y=-12

Coordinates (-2,-12)

#4

(-4,16) and a=1/2

So

y=1/2(-4)²y=16/2y=8

Coordinates (-4,8)

Given y = 2x2 - 5x - 9, what is the value of y when x = 2?

Answers

Answer:

Step-by-step explanation:

y = 2(2)2 - 5(2) - 9

= 8 - 10 - 9

= -11.

Hassan build a fence around a square yard it took 48 m² of lumber to build a fence the fence is 1.5 m tall what is the area of the yard inside the fence

Answers

area of fence = 64m^2

Can someone help me figure out angle a in this circle? thank you!

Answers

Answer:

[tex]m \angle a = 116 \degree[/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex]m \angle a = \frac{1}{2} \times m \widehat{(BD)} \\ \\ \implies m \angle a = \frac{1}{2} \times 232 \degree\\ \\ \implies \huge { \orange{m \angle a = 116 \degree}}[/tex]

HELP!! ASAPP!! (NO LINKS) WILL MARK BRAINLIEST

Identify the trinomial that is NOT a perfect square.


A. 121x^2 + 100x + 25

B. 100x^2 + 60x + 9

C. 25x^2 + 70x + 49

D. 64x^2 + 48x + 9

Answers

ANSWER: C. 25x^2 + 70x + 49

Hope for help po

8 over 10 devided by 1 over4

Answers

Simplified to 4/5 divided by 1/4
Keep change flip to be 4/5 times 4/1
16/5

what is the 41st term of 8,17,26

Answers

Answer:

368

Step-by-step explanation:

We can see that 9 is being added to each term.

Thus, we obtain the following rule:

8 + 9(x - 1)

To make this easier, let's simplify the rule.

⇒ 8 + 9(x - 1)⇒ 8 + 9x - 9⇒ 9(x) - 1

Substitute 41 as "x" to obtain the 41st term:

⇒ 9(41) - 1⇒ 368

The value of 41st term of sequence 8, 17, 26 is,

⇒ 368

What is Arithmetic sequence?

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The sequence is,

⇒ 8, 17, 26.

Now, The common difference is,

⇒ d = 17 - 8 = 9

⇒ d = 26 - 17 = 9

Thus, The sequence is in arithmetic.

Hence, The value of 41st term of sequence 8, 17, 26 is,

⇒ a + (n - 1)d

⇒ 8 + (41 - 1) 9

⇒ 8 + 369 - 9

⇒ 8 + 360

⇒ 368

Thus, The value of 41st term of sequence 8, 17, 26 is,

⇒ 368

Learn more about the Arithmetic sequence visit:

https://brainly.com/question/6561461

#SPJ2

anyone? giving brainliest

Answers

The answer is A I’m sure of it because 180-77-58 is 45

The Davis family purchased a house last year. They put $20,000 towards a down payment and took out a $265,000 mortgage. Because it was a new home, all the repairs and maintenance were covered under the builder’s warranty, but the Davises want to budget this coming year for unexpected expenses. When estimating costs for home repair and maintenance, a good estimate is to budget 1% of the purchase price of a house. What would be a good yearly estimate of repairs and maintenance for the Davis family’s home? a. $28,500 b. $2,650 c. $2,850 d. $200

Answers

Answer:

2,850

Step-by-step explanation:

I'm not very good with percentages, so this may be incorrect, but 1 ℅ of the total purchase price would be 2850 because 1 ℅ is essential 0.01 x 285,000. 285,000 would be adding the down-payment to the mortgage.

hope this helps

how much should i invest today at 11.99% interest compounded quarterly if i want $100000.00 in 10 years

Answers

3000.7907 just write it loooool it’s right easy

A student’s height was 61 inches at the beginning of the year. At the end of the year it was 64 inches. What was his percent increase? Round to the nearest tenth of a percent.

Answers

Answer:

4.9% increase

Step-by-step explanation:

Starts at 61 inches

Ends at 64 inches

64 - 61 = 3 inches increase

percent of 3 to 61

3 / 61

≈ 0.49

= 4.9%

What is the value of x?

Answers

Answer:

x=20

Step-by-step explanation:

These vertically opposite angles are equal

3x+50=6x-10

50+10=6x-3x

3x=60

x=20

Step-by-step explanation:

3x+50=6x-10(vertically opp angles)

3x-6x=-10-50

-3x=-60

Divide both side by - 3

X=20

a. y=-2x +10, y=-**
y,
5. y=-3x+10, y=-2x
c. y=
y=-*x+10,
-x+10, y=-2x
y=-2x+10, y=-*
c.
х

Answers

Answer:

C

Step-by-step explanation:

find the plot and interpret the point in the equation

A bowling ball has an outside layer, and an inner core. One type of bowling ball has a diameter of 8 inches, and the outside layer is an inch thick. what is the volume of the outsdie layer

Answers

diameter = 8

radius = 4

outside layer is an inch thick so

radius is 3

volume of a bowling ball is

volume of a sphere which is

4/3 * Pi * radius cubed =

(4/3)*Pi*27=

answer = 82447.96 in^3 or inches cubed

socraticorg

The volume of the outsdie layer whose  diameter is of 8 inches is 290 cubic inches.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that  bowling ball has an outside layer, and an inner core

One type of bowling ball has a diameter of 8 inches

We have to find the volume of the outsdie layer

Radius of the ball is 4 inches.

Volume of sphere = 4/3πr³

=4/3×3.4×4³

=4/3×3.4×64

=290 cubic inches

Hence, the volume of the outsdie layer whose  diameter is of 8 inches is 290 cubic inches.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

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investigue sobre 6sistemas diferentes​

Answers

Answer:

this is broken english

Step-by-step explanation:

ok ok

Mr. Ketchum collets Pokémon cards. He purchases a rare charizard Pokémon card for $525. Research shows this card value will increase by 3.5% each year. Write an equation that determines the value,v,of the card t years after purchase

Answers

Answer:

18.37500

Step-by-step explanation:

Here You Go! Hope It Helps Bud

Decide which other to give him prices is better and explain why. Storage locker A rents for $32/yd2 per month. Storage locker B rents for $1.58/ ft2 per week. Assume 1 month = 4 weeks. Which one is better and why.

Answers

Answer:

Locker B

Step-by-step explanation:

When you divide 32 by 3 you get 10.667. Then when you divide that by 4 you get $2.667/ft2 per week.


What is the distance between points (-6, -7) and (-1,5) on the coordinate plane?

Answers

Answer:

The answer is C. 13

Step-by-step explanation:

I am having trouble with this problem

Answers

Answer:

b=330.90 and c=314.97

Step-by-step explanation:

b=245×sin71.2/sin44.5. c=245×sin64.3/sin44.5. you get the 64.3 by subtracting 180_(71.2+44.5)

What is the horizontal difference between (4, 8) and (-2, 2)?

Answers

Answer:

6 units

Step-by-step explanation:

the horizontal difference is the distance between the x values of both points. we know the distance between 4 and -2 is 6.

What is the surface area of the square pyramid? 30 m 18 m ות 36​

Answers

Answer:

the answer is 5100 im pretty sure.

Step-by-step explanation:

yes

GUYS HELP ASAP
CHECK THE ATTACHED PHOTO

Answers

Answer:

As they triangles are congruent, we can say that, angle A = angle O

So, angle A = 105+25 =130

A = 180 - 130 = 50° all angles in a triangle add up to 180)

Soo 50° is the answer,

I'm not too sure about it but I think this is correct, hope this helps, correct me if I'm wrong....

Joel is selling a motorcycle for $2,535. He bought the
motorcycle two years ago and paid $4,721 for it. It depreciated
35% during the two years. Is he losing money or making money
on this sale?
18. Willa is buying flowers for a large garden project. She plans

Answers

Answer:

Joel is losing money.

Step-by-step explanation:

4,721-35%=?

First, convert the percentage into a decimal.

35%=35/100=.35

Then multiply 4721 by .35 which is 1652.35

At last, subtract 4,721 by 1652.35= 3068.65

9-18.
Thui wrote the following inequalities for a problem that she was solving: 2n-1<5 or 2n-1 > -5. Which of the following statements is
true? Homework Help
a. n >-3 or n <3
b. n 2-2 or n <3
C. > -3 or n <3
d. n > -2 or n <3

Answers

Answer:

D is the correct answer

Step-by-step explanation:

2n-1<5= n<3

2n-1>-5= n>-2

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