How to solve x^4 -10x^2 +9

Answers

Answer 1

Answer:

(x² - 9)(x² - 1)

Step-by-step explanation:

Using Quadratic trinomials

Factor x⁴ - 10x² + 9

Step 1: Find the two integers whose product of 9 and whose sum of -10

Product

-9 × -1 = 9

Sum

-9 + -1 = -10

Step 2: Use -1 and -9 to complete the factors

x⁴ - 10x² + 9 = (x² - 9)(x² - 1)

Step 3: Use the foil method to check the factors

(x² - 9)(x² - 1) = x⁴ - 1x² - 9x² + 9 = x⁴ - 10x² + 9


Related Questions

Some one please help and find the domain and range. If your not sure about your answer don’t give the answer unless your 100% sure.

Answers

Answer:

Domain x=1 and range is 0≤f(x)≤3

Step-by-step explanation:

Domain corresponds to the value of x and range corresponds to the value of y

Here we see the graph exists at x=1 so the domain is x=1 or simply 1 and the range is a range of values from 0 to 3 so we write it in the way

0≤f(x)≤3

) Alyssa has 36 books in her library. She bought several books at a yard sale over the weekend. She now has 62 books in her library. How many books did she buy at the yard sale ?

Answers

Answer:

26 Books

Step-by-step explanation:

26 + 36 = 62

Sorry I couldn't explan more, but I hope this helps!

Please help ASAP and I'll also mark brainliest! Solve for X and Y!

Answers

Answer:

x=21

y=15

Step-by-step explanation:

last month mrs.hamilton bought a 4 pound bag of potatoes for $9.12. this month she purchased a 6 pound bag of potatoes for $11.40 what is the difference in the unit cost per pound that mrs.hamilton paid

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

The first bag she payed $2.28 per pound the second bag she payed $1.90 per pound so the difference is 38 cents

The company you’re interning at stores liquid in cylinder-shaped tanks, the smallest of which are 10 feet in diameter and 30 feet high. How much liquid can a small tank hold if filled completely full? *

Answers

Answer:

2,355 ft^3

Step-by-step explanation:

Answer:

2,235 ft^3

Step-by-step explanation:

i need big help!!
please

Answers

Answer: 39.024

Hope it helped

Step-by-step explanation:

Choose the answer based on the most efficient method as presented in the lesson.

If the first step in the solution of the equation -9 + x = 5x - 7 is "subtract x," then what should the next step be?

add 7
add 9
subtract 5x

Answers

Answer:

add 7

Step-by-step explanation:

Hope this helped <3

Answer:

add 7

Step-by-step explanation:

Solution : Expression Step 1 - Subtract x from both side,            Step 2 - Add 7 both side,      Step 3 - Solve,      So, The best next step is ''add 7 both side''

anyone know the answer

Answers

Answer: B. 1

Step-by-step explanation: PLEASE GIVE BRAINLIEST I KNOW HOW HARD IT CAN BE TO BE STUCK ON A QUESTION AND NOBODY HELPS YOU, I DO. SO ALL I ASK IN RETURN IS BRAINLIEST. THANKYOU.

The area of a rectangular wall of a barn is 12 square feet. Its length is 14 feet longer than the width. Find the length and width of the wall of the barn.

Answers

Answer:

w = 0.81 ft

l = 14.81 ft

Step-by-step explanation:

The equation of the area of a rectangle is given by:

[tex]A_{r}=l*w[/tex]

But we know that l=14+w and [tex]A_{r}=12 ft^{2}[/tex]

So we will have:

[tex]12=(14+w)*w=14w+w^{2}[/tex]

[tex]w^{2}+14w-12=0[/tex]  

Solving this quadratic equation we have:

w = 0.81 ft

We just take the positive solution

So, the length will be l = 14 + 0.81 = 14.81 ft

I hope it helps you!

What is the slope of a line perpendicular to the line y=8x+1

Answers

The slope of a line perpendicular to the line y=8x+1 is -1/8.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The product of slopes of line are m₁m₂=-1

The equation of line is y=8x+1

m₁=8

We need to find m₂

8m₂=-1

m₂=-1/8

Hence, the slope of a line perpendicular to the line y=8x+1 is -1/8.

To learn more on slope of line click:

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Evaluate the expression for x=5, y=3,and z=1/4.
5x−6y+20z/4yz​

Answers

Answer: Which of the following statements regarding the human

population are TRUE? Select TWO.

The world's population of humans is

increasing.

In every country, the human population is

increasing

In some countries, the human population is

decreasing or staying the same.

The world's population of humans is

staying constant.

Step-by-step explanation:

25-18+5/3
Equal to 8 2/3

Which multiplication expression is equal to 5/6 divided 1/2 ?

A: 6/5 times 1/2
B: 5/6 times 1/2
C: 6/5 times 2/1
D: 5/6 times 2/1

Answers

Answer:

D

Step-by-step explanation:

Another way to divide fractions is to multiply by the reciprocal, which is basically the fraction with the denominator put on top and the numerator put on the bottom.  

The reciprocal of 1/2 is 2/1, so the correct answer choice is D

Hope this helps! Good luck :)

The multiplication expression that is equal to 5/6 ÷ 1/2 is 5/6 times 2/1, which simplifies to 5/3.

Thus, option (D) is correct.

Given: 5/6 ÷ 1/2

To find the reciprocal of 1/2, invert the fraction, which means switching the numerator and denominator:

Reciprocal of 1/2 = 2/1

Now, multiply the first fraction (5/6) by the reciprocal (2/1):

= (5/6) × (2/1)

Multiplying the numerators and denominators:

= (5 × 2) / (6 × 1)

= 10/6

To simplify the fraction, divide the numerator and denominator by their greatest common divisor (GCD):

GCD(10, 6) = 2

= (10/2) / (6/2)

= 5/3

Therefore, the equivalent multiplication expression is5/6 times 2/1.

Learn more about Fraction here:

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The greatest ocean depth of -35,836 feet (35,836 feet below sea level). An unmanned research submarine dives form sea level to that depth in 17 equal steps. At what depth is the submarine located after the first step?

Answers

Answer:

2,108 feets below sea level

Step-by-step explanation:

Given that:

Greatest depth = - 35,836 feets

Unmanned submarine dives to the depth in 17 equal steps

That is ; 17 equal steps was taken to reach a depth of 35,836 feets below sea level.

Depth of submarine after first step :

Depth per step :

Total depth / number of steps

35836 / 17

=2,108 feets below sea level.

Hence, Depth of submarine after first step = 2,108 feets below sea level.

A fruit stand sells apples, oranges, and bananas. The cost of 1 apple is $0.50, and the cost of 1
- Ronald bought 4 apples and 1 banana.
- Madison bought 2 oranges and 3 bananas.
- The total cost of the fruit Ronald bought was the same as the total cost of the fruit Madison
What is the cost of 1 banana at the fruit stand?
$0.20
B $0.40
C) $0.55
$0.80

Answers

Answer:

first we need to know what the other one cost you didnt finish the the cost of something

Step-by-step explanation:

This is impossible to solve because, you dont know the total amount spent by them.

Solve for y: 3x - 5y 5-10x + 15

Answers

Answer:

3 x - 65

Step-by-step explanation:

3 x - 55 - 10

Calculate the difference

3 x - 65

3x-65. That is the answer hope it helps

Given the equation y= -3/7x - 4, what is the y-intercept?

Answers

Answer:

The y-intercept is -4.

Step-by-step explanation:

The y-intercept in a linear equation is always the b value. In this case, it is -4.

please help me I need an answer now, please

Answers

Answer
No
Why?
Because it goes up by 3 not 2 and it goes right 2 instead of 3

Which value of x makes this equation true: 2x + 3 = x − 4 *

Answers

Step-by-step explanation:

[tex]2x + 3 = x - 4 \\ 2 x - x = - 4 - 3 \\ x = - 7[/tex]

1. Tara already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer recipes during each week of school. Write an equation that shows the relationship between the number of weeks and the number of appetizer recipes.

(a) Define your variables.
(b) Write a linear equation that can be used to determine the number of appetizer recipes she will learn during school
(c) Solve your linear equation to determine the number of recipes that Tara will know after 18 weeks in school
(d) Explain your answer to Part 1c.

Answers

Answer:

See below.

Step-by-step explanation:

(a)

Let w = number of weeks since she started culinary school.

Let r = number of recipes she knows at the end of week w.

(b)

Each week she learns 3 new recipes. In w weeks she learns 3w new recipes.

She already knew 4 recipes before starting school.

The equation is:

r = 3w + 4

(c)

After 18 weeks of school, w = 18.

r = 3w + 4

r = 3(18) + 4

r = 54 + 4

r = 58

(d)

After 18 weeks of school, she will know 58 recipes.

She knew 4 recipes before starting school. in 18 weeks of school she learned 18 * 3 = 54 recipes. Altogether, after 18 weeks of school, she knows 58 recipes.

A mountain climber at the top of the mountain 160 metres above ground level observes the angle of depression of the two cars parked on the road side at 60 degree (second car) and 30degree (first car) respectively. Find the distance : 1. from the base of the mountain to the first car, 2. from the base of the mountain to the second car and, 3. between the two cars.​

Answers

Answer:

a. distance between the base of the mountain and the first car, d = 277 m

b. distance between the base of the mountain and the second car, s = 92 m

c. distance between the two cars = 185 m

Step-by-step explanation:

a. Since the angle of depression is 30°, the interior angle = (90 - 30)° = 60°

Let the distance between the base of the mountain and the first car be d, and height of the mountain = 160 m

tan 60° = d/160 m

d = tan 60° * 160 m

distance between the base of the mountain and the first car, d = 277 m

b. Since the angle of depression is 60°, the interior angle = (90 - 60)° = 30°

Let the distance between the base of the mountain and the second car be s, and height of the mountain = 160 m

tan 30° = s/160 m

s = tan 30° * 160 m

distance between the base of the mountain and the second car, s = 92 m

c. distance between the two cars = 277 - 92

distance between the two cars = 185 m

What is the slope of a line parallel to a line represented by y=4?

a) 4
b) 1/4
c) -4
d) undefined
e) 0
f) -1/4

Answers

the answer is d undefined.

What is the product of 4.6 and 3 in word form

Answers

Answer:

thirteen and 8 tenths

Step-by-step explanation:

Answer:

thirteen and eight tenths (13.8)

Step-by-step explanation:

4.6 x 3 = 13.8 (In your head, do 4*3 and .6*3, then add 12 and 1.8)

13.8 is also 13 8/10

so it can be said as thirteen and eight tenths

A rectangle is englared by 6 what is the area of the englared rectangle

Answers

Answer:

120 in

Step-by-step explanation:

A furniture store delivers for $40 plus $0.75 for every mile they have to travel from the store. Which function represents the cost for delivery, c(m), given the distance from the store, m, in miles, and how much does delivery cost for someone who lives 60 miles from the store?

Answers

Answer:

$85

Step-by-step explanation:

le the total cost be y

and the number of miles be x

the expression for the total can  be modelled linearly as

y=mx+c

given that

c=$40

m=$0.75

for x==60miles

we can substitute into the expression to solve for y we have

y=0.75(60)+40

y=45+40

y=85

The cost to deliver at a distance of 60miles is $85

12.
X Х
Which of the following could represent the integer -50.
a. deposit of $50.00
b. gain of 50 yards
c. 50 feet below sea level
d. withdrawal of $50.00
e. 50 feet above sea level
f. loss of 50 yards

Answers

Answer:

hello what exactly is the question

What is the slope of the graph of y = 12 x - 19

Answers

Answer:

yeah the answer is 12

Step-by-step explanation:

G day mate I hope u get it right

What is the best description for the lines

Answers

Answer:

the answer is

d. the same line

It’s d cause it in the same line

PLEASE HELP!! CELL PHONE The table shows how the cost changes with the number of minutes used. Use the table to find the rate of change. Explain the meaning of the rate of change. 005 A. Rate of change is This means that it costs $0.05 per minute to use the cell phone. Use Cost (5) у 1 2 3 20 40 60 B. 5 Rate of change is This means that it costs $5 per minute to use the cell phone. C. 0.5 Rate of change is This means that it costs $0.50 per minute to use the cell phone. D. 0 20 Rate of change is This means that it costs $0.20 per minute to use the cell phone.​

Answers

Answer:

I wanna say A don't count on it

What are the closest 2 integers to 300

Answers

Answer:

17 and 18

Step-by-step explanation:

I'm pretty sure the two integers are 17 and 18

(let me know if I'm wrong)

Ella earns $10.25 at her part-time job at the ice creak place downtown. If she worked 12 hours this week, how much money did she make?

Answers

Answer:

123$

Step-by-step explanation:

$10.25 × 12

Answer:

She made $123.

Step-by-step explanation:

10.25 times 12 = 123

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