Mathematics High School

factor z^3 - 2z^2 + 9z-18
10 POINTS!!!!

Answers

Answer 1

Answer:

(z - 2) (z^2 + 9)

Step-by-step explanation:

Factor the following:

z^3 - 2 z^2 + 9 z - 18

Hint: | Factor pairs of terms in z^3 - 2 z^2 + 9 z - 18 by grouping.

Factor terms by grouping. z^3 - 2 z^2 + 9 z - 18 = (z^3 - 2 z^2) + (9 z - 18) = z^2 (z - 2) + 9 (z - 2):

z^2 (z - 2) + 9 (z - 2)

Hint: | Factor common terms from z^2 (z - 2) + 9 (z - 2).

Factor z - 2 from z^2 (z - 2) + 9 (z - 2):

Answer: (z - 2) (z^2 + 9)

Related Questions

I need help on this I would appreciate if you could Help me thank you

Answers

The points of intersection are at (3, 6) and (-1, -2).

Since both of these equations have y isolated, we can set them equal to each other:

2x=x²-3

We want all of the variables on one side, so subtract 2x:
2x-2x = x²-3-2x
0=x²-3-2x

Write the quadratic in standard form:
0=x²-2x-3

This is easily factorable, as there are factors of -3 that will sum to -2. -3(1)=-3 and -3+1=-2:
0=(x-3)(x+1)

Using the zero product property we know that either x-3=0 or x+1=0; therefore x=3 or x=-1.

Substituting this into the first equation (it is simpler):
y=2(3) = 6
y=2(-1)=-2

Therefore the coordinates are (3, 6) and (-1, -2).

Answer:

(x1, y1)=(-1, -2)

(x2, y2)=(3, 6)

Step-by-step explanation:

y=2x

y=x^2-3

Since both of the expressions 2x and x^2-3 are equal to y, set them equal to each other forming an equation in x

2x=x^2-3

solve the equation for x

x=-1

x=3

Substitute the given value of x into the equation y=2x

y=2 x (-1)

x=3      y=2 x 3

Solve the equation for y

y=-2

y=2 x 3      y=6

The possible solutions of the system are the ordered pairs (x, y)

(x1, y1)=(-1, -2)

(x2, y2)=(3, 6)

Check if the given ordered pairs are the solutions of the system of equations

-2=2x(-1)

-2=(-1)^2-3

6=2x3

6=3^2-3

Simplify the equalities

-2=-2

-2=-2

6=2x3

6=3^2-3

-2=-2

-2=-2

6=6

6=6

Since all of the equalites are true, the ordered pairs are the solution of the system

(x1, y1)=(-1, -2)

(x2, y2)=(3, 6)

Three times a number increased by 8 is no more than the number 32. Find the possible answers.

Answers

Answer:

3n + 8 ≤ 32

Step-by-step explanation:

You multiply the 3 and the n together then add the 8 and it can't be more than 32 but it can be equal to 32

A pencil pouch has 12 pencils and 30 led pencils, What is the ratio of
pencils to led pencils?

Answers

Answer: 12:30

Step-by-step explanation: Trust me. I got 100.

Answer:

6::15

Step-by-step explanation:

The daily cost of renting a car is $25.00 plus $0.30 per mile driven. What is the cost of renting the car for one day and driving at 75 miles?

Answers

Answer: The cost of renting the car for one day and driving at 75 miles = $ 47.5 .

Step-by-step explanation:

GIven: Daily cost of renting car = $ 25.00 + $0.30 per mile driven

Let x = Total distance traveled ( in miles).

Then total cost of renting (in $)= 25+0.30x

For x= 75 miles

The  total cost of renting (in $)= 25+0.30(75)

=25+22.5

= $47.5

Hence, the cost of renting the car for one day and driving at 75 miles = $ 47.5

2x-2-(2x-1)=x+4-1-(-3x)

Answers

Answer:

-1=x

Step-by-step explanation:

2x-2-(2x-1)=x+4-1-(-3x)

2x-2-2x+1=x+4-1+3x

-1=4x+3

-4=4x

-1=x

Find the missing side length

Answers

Answer:

C) 9

Step-by-step explanation:

because it is half of 18 like 15 is half of 30.

PLEASE HELP WITH QUESTIONS 6, 7, 8, AND 9 ONLY. ASAPPPP​

Answers

go to yt and watch one I bieleve it should be able to help you

Let f(x) = x^2 and g(x) = x - 5 Find (f o g)(-2)

Answers

Answer:

[tex]Solution,\\f(x) = x^{2}\\g(x) = x-5\\Now, \\fog(x) = f[g(x)] = f(x-5) = (x-5)^{2} \\Put~x=-2,\\fog(-2) = (-2-5)^{2} = (-7)^{2} = 49[/tex]

5
Sarah want to buy shrimp at $10.99 a pound. How many pound can she
buy for $25? *Round to the nearest tenth, one decimal place

Answers

Answer:

2.3 (or 2.293)

Step-by-step explanation:

25/10.99

which expression is equivalent to the phrase 4 times the sum of 7a and 3B

Answers

Answer:

4(7a + 3b) = 28a + 12b

Step-by-step explanation:

The sum of 7a and 3b: 7a + 3b

4 times the sum of 7a and 3b: 4(7a + 3b)

Expanding this out:

4(7a + 3b) = 28a + 12b

What is the equation in slope-intercept form of the line that crosses the y-axis at 6 and is perpendicular to the line represented by y= (-4/9)x+5?​

Answers

Answer:

y=(9/4)x+6

Step-by-step explanation:

If it crosses at 6 then it will be +6.  A perpendicular line has a slope that is the opposite reciprocal of your current slope.

-5x-4y=-7 on a graph

Answers

Answer:

Graph is attached below.

Step-by-step explanation:

If you want to solve for the variable x,

x = −4 / 5y + 7 / 5

A dump truck can hold 2 tons of gravel. The pay loader loading the truck puts 750 pounds of gravel in the truck at one time.


How many loads does the pay loader need to dump in the truck before it is full?

Answers

Answer:

6

Step-by-step explanation:

What is the 149th term in the arithmetic sequence below?
3 11 19 27

A) a(149) = 1187

B) a(149) = 1199

C) a) 149) = 1184

D) a(149) = 1189

I got 141 obviously that's completely incorrect plz help ​

Answers

Answer:

1,187

Step-by-step explanation:

The nth term of an arithmetic sequence is expressed as;

an = a + (n-1)d

a is the first term

n is the number of terms

d is the common difference

Given the sequence 3, 11, 19, 27...

a = 3

d = 11-3 = 19-11 = 8

n = 149 (since we need the 149th term)

a149 = 3 + (149-1)(8)

a149 = 3+(148)(8)

a149 = 3+1,184

a149 = 1,187

Hence the 149th term is 1,187

find the length of the unknown side​

Answers

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)
if leg b is unknown, then. b = √(c² - a²)
for hypotenuse c missing, the formula is. c = √(a² + b²)

Jayce bought 5 bath towels and returned 2 hand towels. His sister Jayna bought 3 bath

towels and returned 4 hand towels. Jayce paid a total of $124 and Jayna paid a total of

5b - 2h = 124

$24. The system of equations

models this situation, where b is the

3b - 4h = 24

price of a bath towel and h is the price of a hand towel. How much does each kind of

towel cost?

Answers

Answer:

Bath towels = $32

Hand towels = $18

Step-by-step explanation:

Given:

5b - 2h = 124 (1)

3b - 4h = 24 (2)

Multiply (1) by 2 to eliminate h

10b - 4h = 228 (3)

3b - 4h = 24 (2)

Subtract (2) from (3)

10b - 3b = 248 - 24

7b = 224

b = 224 / 7

b = 32

Substitute b = 32 into (2)

3b - 4h = 24

3(32) - 4h = 24

96 - 4h = 24

-4h = 24 - 96

-4h = -72

h = -72 / -4

= 18

h = 18

Bath towels = $32

Hand towels = $18

HELP ME PLEASEEEE!!!!!!!

Answers

Answer: Pattern B

Step-by-step explanation: A quadratic relationship involves x squared. Pattern B has the relationship x squared + 1 between the step number and the number of dots

estimate 70 divided 30

Answers

Answer:

1.4 estimate: 1

Step-by-step explanation:

help me if correct i will mark branliest

Answers

Answer:

c = 17

Step-by-step explanation:

a^2 + b^2 = c^2

= 8*8 + 15*15

= 64 + 225

= 289

= 289 SQUARED

= 17

Answer:

i THINK it is 15. im so so so super sorry if im wrong-have a nice day!

Step-by-step explanation:

find the total surface area of a cone having a diameter of base 8 cm and a slant height of 12 use pi 3.14 please make it quick

Answers

Answer:

2

Step-by-step explanation:

hello ht eanswer is 2

hi

2


Pretty sure it’s 2

The space inside a circle is the ___ of the circle. circumference
diameter
area
radius ​

Answers

Area is the inside of the circle

Answer: area

Step-by-step explanation:

Hey besties I need someone to answer this

Answers

Answer:

Its the first one y=x3 - 3

Step-by-step explanation:

Answer:

y = x – 3

Step-by-step explanation:

y = x³ – 3 [cubic function]

y = x² – 3 [square function / quadratic]

y = x – 3 [linear function]

y = √x – 3 [square root function]

A 4 sided polygon has diagonals that are perpendicular. The adjacent sides are congruent. What is the best name for the polygon?

1. Parallelogram
2. Rhombus
3. Isosceles Trapezoid
4. Kite

Answers

Answer:

A Kite

Step-by-step explanation:

I know, almost 2 years late. It's a kite and I don't know why.

Factor 28+56t+28w, to identify the equivalent expressions.

Answers

Answer:

28(1 + 2t +w)

Step-by-step explanation:

28 + 56t + 28w.

Factor out a 28 from the expression.

28(1 + 2t + w)

Mariah has a spinner that has 10 equal sections, each containing a different number from 1 to 10. Mariah determines about how many times the spinner will land on a number that is greater than 7 in 250 spins, and her work is shown below.

P (number greater than 7) = StartFraction Number greater than 7 over Total number of sections EndFraction times number of spins = StartFraction 4 over 10 EndFraction (250) = 100.

What mistake did Mariah make, if any?
Mariah has the formula reversed; it should be the total number of sections over the numbers greater than 7.
Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.
Mariah should multiply by the number of sections in the spinner rather than the total number of spins.
Mariah calculated the prediction correctly and did not make any mistakes.

Answers

Answer:

Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.

Step-by-step explanation:

Edge my friends

Answer:

Its  B

Step-by-step explanation:

Which inequality is true when the value of g is 20?

Answers

Answer:

Where are the inequality

Step-by-step explanation:

Spiral Review Elena draws a scale drawing for a garden in her backyard. The scale drawing is 3 inches by 6 inches. The garden will be 12 feet by 24 feet.

What is the scale of the drawing in inches to feet?

Answers

1/4 bc if you take the fraction 3/12 and simply it’s 1/4

Which number is greater?
9/13 or 0.692

Answers

Answer:

None

Step-by-step explanation:

9/13 = 0.6923076923076923 = 0.692

So they are both equally the same since they have the same value. On is not greater than the other

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Isaiah is preheating his oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 10° per minute after being turned on. What is the temperature of the oven 17 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?

Answers

Answer:

12750 is the answer... god bless

The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit.

A.) Find the circumference of the tire.
B.) About how many times will the tire have to rotate to travel 1 mile? (1 mile = 5,280 ft)

I give braniliest to whoever answers write first

Answers

Answer:

Circumference = pi * d = 3.14 * 2.5 = 7.85 ft.

1 mile = 5,280 ft.

5,280ft * 1rev/7.85ft =

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