find constants p and q such that x^4-2x^3-x^2+2x+10=(x^2+px+5)(x^2+qx+2)

Answers

Answer 1

Answer:

p = -4 q = 2

Step-by-step explanation:

Expand the brackets ( yes the entire thing).group together the values with same co-effiecients; like (q+p)x^3 etc etc.equate the co-effiecients on the left hand side to the now grouped ones on the right, for example [x^3]: -2x^3= (q+p)x^3, the x^3 cancels and ull get an equation only in terms of p and q. do the same for [x] and ull get an equation with only q, solve this and get the value for q [q = 2].sub in this value for the [x^3] equation and ull get an answer for p [p= -4].

hope my explanation is understandable lol


Related Questions

Roger decides to buy a new printer. He wants a printer which prints the most pages per minute (ppm). Printer A can print up to
33
pages per minute, which can be modeled with the equation
p
=
33
m
where
p
represents the number of pages and
m
represents the number of minutes passed. The rate at which the second printer functions is shown in the table.



Which printer should Roger choose, and how many more pages a minute will he be able to print?


Printer A;
5
more pages per minute
Printer A; 5 more pages per minute

Printer B;
2
more pages per minute
Printer B; 2 more pages per minute

Printer B;
5
more pages per minute
Printer B; 5 more pages per minute

It does not matter; both printers print at the same rate.

It does not matter; both printers print at the same rate.

Answers

Answer:

That's alot of words its kinda hard to understand

HELP CAN SOMEONE HELP ME MATH I'LL GIVE BRAINLIEST

Answers

Answer:

Student C wrote the correct inequality

the inequality will be less than or equal to since we want to spend (exactly) 300 or less. We only buy one jacket for 60 dollars so it will be added seperately to the total number of jackets. We are buying multiple jackets and each jacket costs $40. P = # of pants. So the inequality will look like

60 + 40P (less than or equal to symbol) 300

Hope I'm not too late :)

Need help. Find the value of x

Answers

Answer:

Step-by-step explanation:

14

Use the distributive property to expand (simplify): 5(12mu - 7v)

Answers

Answer:

60mu - 35v

Step-by-step explanation:

You disturbute 5 into the 12 and add mu and your answer and distribute 5 into the 7 and keep the v with your answer.

Hopes this works.

[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]

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

[tex]\textsf{The \textbf{distributive property} states the following:}[/tex]

[tex].\qquad\bullet\sf{a(b+c)=ab+ac}[/tex]

[tex]\textsf{So we take a number or a variable \textbf{a} and distribute it by multiplying it times b and c}[/tex]

[tex]\textsf{Now we simplify.}[/tex]

[tex]\textsf{5(12mu-7v)=5*12mu-5*7v=60mu-35v}[/tex]

[tex]\Large\textsf{\textbf{Answer: 60mu-35v}}[/tex]

[tex]\Large\overbrace{\underbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star[/tex]

can someone help me with this math problem pls? will give thanks!

Answers

Answer:

sin(A) = opp / hyp

=a/hyp. =9/15

cos(A) = adj/hyp

=b/hyp. =12/15

Tan(A) = sin(A) / cos(A)

= 9/15 / 12/15

=9/12. (you can further simplify it)

same for the B angle,

sin(B) = b/15

=12/15

cos(B) = a/15

=9/15

tan(B) = sin(B) / cos(B)

= 12/15 / 9/15

=12/9

factor the expression using gcf 98-70​

Answers

Answer:

The Greatest Common Factor (GCF) for 70 and 98, notation CGF(70,98), is 14.

Step-by-step explanation:

Mike is 6.2 feet tall and casts a shadow that is 10.7 feet long. At the same time, a tree casts a shadow that is 37.5 feet long. How tall is the tree to the nearest tenth of a foot?

Answers

Answer:

I think it's 38

PLEASE HELP I WILL GIVE YOU BRAINLIEST

Answers

Answer

32

Step-by-step explanation:

fffff

After eating dinner at a restaurant, Alex's bill before tax is $78.00. The sales tax rate is 8%. Alex decides to leave a 20% tip for the waiter based on the pre-tax amount. How much money will Alex pay total, including tax and the tip?

Answers

Alex's will pay a total of $99.86

Step-by-step explanation:

Tax Rate:

$78.00+8%

8% of $78.00=6.24

78.00+6.24=84.24

Tip:

20% of 78.00=15.6

Total:

(Bill+Tax) 84.24+(Tip)15.6=$99.86

A. Zara is learning about surface area and volume in math class. She begins to notice that she can apply this geometry in everyday life. When her mom makes a jelly sandwich for her lunch, Zara notices it is similar to a rectangular prism and decides to measure its dimensions. She measures the length as 13 cm, the width as 10.8 cm, and the height as 3 cm, as shown below. What is the volume of Zara's sandwich? Show your work.

B. What is the surface area of Zara's sandwich? Show your work.

C. Zara cuts her sandwich in half down the middle, dividing it into two equal pieces. She then stacks one half of the sandwich on top of the other, as shown below.​

Answers

hi, i don’t know the answer i just wanted to inform you that that persons link is fake. i tried it and even saw it on so many questions. sorry i couldn’t help:(

Find the approximate perimeter of the trapezoid? PLSSS HELPPP

Answers

Answer:

49

Step-by-step explanation:

side 1 = |18-3|= 15

side 2 = |12-3| = 9

side 3 = |16-4| = 12

side 4: [tex]\sqrt{(18-12)^2 + (4-16)^2} \\ \sqrt{36+144} \\ = \sqrt{180} \\ = 13,4[/tex]

perimeter = 15 + 9 + 12 + 13,4= 49,4 = 49

the square below is being reduced by a scale factor of one-third. what is the perimeter of the new drawing

Answers

Answer:

one side = 3cm

Step-by-step explanation:

S.f=1/3

1 side=9÷3 = 3

Here are some of the lowest tempatures recorded in the last 2 centuries for some US cities. Tempatures are in degrees Farhrenheit. Which of these states has the lowest record tempature?




-Death valley, CA -45 in January of 1937

-Danbury,CT was -37 in Febuary of 1943

-Monticello, FL was -2 in Febuary of 1899

- East saint Louis,IL was -36 in January of 1999

- Greenvillie, GA was -17 in january of 1940

Answers

Answer:

wouldn't it be A?

Step-by-step explanation:

Find the area of a parallelogram. If base = 24 cm; height= 15 cm

Find the area of a rectangle. If length = 12 cm; height= 3 cm.

Find the area of a rectangle. If length = 25 cm; height= 4 cm.

Find the area of a square. If one side measures 16 cm. *

6. Find the area of a square. If one side measures 100 cm. *

7. Find the area of a triangle. If base is 24 cm; height = 3. *

8. Find the area of a circle. If the diameter is 10 cm . *

9. Find the area of a circle. If the radius is 7 cm . *

10 . Find the area of a semicircle. If the radius is 4 cm . *

Answers

Answer:

1. 360 , 2.36, 3.100, 4.256, 5.10000 , 6.72,

Jesse went out for a 4-course meal were he had a choice of 3 salads, 3 appetizers, 4 entrees, and 5 desserts. How many different four-course meals are possible?

Answers

Answer:

180 different four-course meals

Step-by-step explanation:

So you have one out of 3 salads, one out of 3 appetizers, one out of 4 entrees, and one out of 5 deserts. To find the number of meals that are possible, multiply 3 by 3 by 4 by 5

3 * 3 = 9

9 * 4 = 36

36 * 5 = 180

circle P is representing by the equation (x - 2)^2 + (y + 2)^2 = 9.

plot point P on the given coordinate plane.​

Answers

circle with the radius 3 (r=3) and the center (2, -2)

Answer:

Solution given.(x - 2)^2 + (y + 2)^2 = 9.

comparing above equation with (x-h)²+(y-k)²=r²

we get

centre(x,y)=(2,-2)

radius [r]=3units

A______is a data point that lies away from most of the other data points.
-cluster
-outlier
-trend line
-variable

Answers

The answer is outlier

Please help I have been stuck for a while now

Answers

Answer:

D

Step-by-step explanation:

The line-of best fit is where a line would be drawn if there was one. The line goes through the majority of the dots and doesn't touch the outliers. Also the line is strait.

A rectangular prism has a width of 8inches a length of 15inches and a height of 6inches what is the volume ofprism

Answers

Answer: 720 inches

Step-by-step explanation:

To find volume of a rectangular prism, we need to multiply L x W x H , so we would do-

15 x 8 x 6 and get 720in

Answer: Fre.e points :^

Step-by-step explanation: Ty *bows* u-u

Are the expressions equivalent? Select all that apply.
A:3n + 2 - 4n and 2 - n

B:5(3x + 2) and 15x + 10

C:2(r×r×r) and 6r

D:-8(2z – 3) and -16z - 3​

Answers

A, B, and C are the correct answers

please help with these problems!! It’s getting really late and they’re due !!

Answers

Answer:

b = 9 inches

Step-by-step explanation:

Given that,

The area of triangle LMN = 36 inch²

The height of the triangle, h = 8 inches

We need to find the base of the triangle. The formula for the area of a triangle is given by :

[tex]A=\dfrac{1}{2}bh\\\\b=\dfrac{2A}{h}\\\\b=\dfrac{2\times 36}{8}\\\\b=9\ inches[/tex]

So, the base of the triangle is equal to 9 inches.

Which of the following expressions is this one equivalent to?
(x4 – 2x3 – x+2) / (x3 - 1)
A. X-2
O B. x2-1
O c. x2+x+1
O D. x2 + 3x + 2

Answers

Answer:

option A

Step-by-step explanation:

(X - 2) is the answer

hope it helps

me pueden ayudar por favor si no saben no respondan (:

Answers

Answer:

Step-by-step explanation:

I need help on the second problem!!!

Answers

Answer:

They are correct.

Explanation:

Since adding two exponents only happens when you multiply two identical bases, that way of solving it is valid.

Hopefully this helped!

A line of best fit for a data set has equation y = 3x - 4. What y-value would you predict for an x-value of 8 in this data set?

A 4

B. 8

C. 16

D. 20

Answers

Answer:

D. 20

Step-by-step explanation:

The line of best fit for the equation is:

[tex]y = 3x - 4[/tex]

When x = 8

We have to find y. So

[tex]y = 3*8 - 4 = 24 - 4 = 20[/tex]

So the correct answer is given by option D.

please help !! urgent ! :(

Answers

Answer:

a = 15

Step-by-step explanation:

The formula to solve for the above diagram is given as:

Sum of the interior angles in a circle = 360°

(10a - 4)° + (6a - 2)° + (8a + 6)° = 360°

10a - 4 + 6a - 2 + 8a + 6 = 360

24a -6 + 6 = 360°

24a = 360

a = 360/24

a = 15

y varies directly as x if y is 2 when x is 8 then the constant of variation is 1/4
a.true
b.false

Answers

Answer:

a. True.

Step-by-step explanation:

y = kx

y = 2 when x = 8 gives:

2 = 8 * k

k = 2/8 = 1/4.

Susan wants to collect data about the exercise habits of her friends.



Which questions are statistical questions she could ask?



Select each correct answer.




What time of the day are my friends most likely to exercise?

How many days each week does Melanie exercise?

What types of exercise do my friends prefer?

Does Heather like to do different exercises?

How many times a week do my friends exercise?

Answers

Answer: I hope this helps you.

A chocolate company makes dark chocolate bars. The quality control department of the company has found that the weights of the chocolate bars follow a normal distribution, with a mean of 85 grams and standard deviation of 1.2 grams. To ensure a consistent product, the company has a policy to reject any chocolate bars weighing less than 82.6 grams or more than 87.4 grams. Approximately what percent of chocolate bars are rejected?
a. 0.12%
b. 0.15%
c. 0.30%
d. 2.50%
e. 5.00%

Answers

d and e i’m pretty sure :)

Help me please im stuck

Answers

Answer:

28.26

Step-by-step explanation:

A=3.14 r^2

3.14x3x3

3.14x9

28.26

Hope this helps! :)

(Please don't hate on me if its wrong)

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