Determine values of m, n, p, and q so that

Determine Values Of M, N, P, And Q So That

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{x^{2}+mx+n }{9-x^{2} } /\frac{x^{2} +6x-16}{x^{2} +px+q} = \frac{-x+3}{x+8}[/tex]

Change the division of the two fractions in to multiplication

[tex]\frac{x^{2}+mx+n }{9-x^{2} } * \frac{x^{2} +px+q}{x^{2} +6x-16} = \frac{-x+3}{x+8}[/tex]

Factor what we can

[tex]\frac{x^{2}+mx+n }{(3-x)(3+x)} * \frac{x^{2} +px+q}{(x-2)(x+8)} = \frac{(3-x)}{x+8}[/tex]

Cross multiply and simplify (x+8)/(x+8)

(x² +mx +n) (x² +px +q) = (x -3) (x -3) (x +3)( x -2)

Now we look to see what values for m, n, p, and q will give those factors.

m= 1 n= 2 p= 3 q= 4

(x² +x +2) (x² +3x +4) ≠ (x -3) (x -3) (x +3)( x -2) ❌

m= 1 n= -6 p= -6 q= 9

(x² +x -6) (x² -6x +9) = (x+3)(x-2) (x-3)² ✅

m= -5 n= 6 p= 0 q= -9

(x² -5x +6) (x² -9)  = (x-3)(x-2)(x-3)(x+3)✅

m= 7 n= -4 p= 2 q= 0

(x² +7x -4) (x² +2x)  ≠ (x-3)(x-2)(x-3)(x+3)❌

m= 3 n= -6 p= 1 q= 7

(x² +3x -6) (x² +x+7) ≠(x-3)(x-2)(x-3)(x+3)❌

m= -6 n= 9 p= 1 q= -6

(x² -6x +9) (x² +x -6) =  (x-3)(x-3)(x-2)(x+3)✅

m= 0 n= -9 p= -5 q= 6

(x² -9) (x² -5x +6) ≠(x-3)(x-3)(x+3)(x-2)❌


Related Questions

The radioactive substance uranium-240 has a half-life of 14 hours. The amount
A(t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function.
At = 3900(1/2) t/14
Find the initial amount in the sample and the amount remaining after 60 hours.
Round your answers to the nearest gram as necessary.

PLEASE HELP ASAP

Answers

Answer:

See analyris

Step-by-step explanation:

[tex]Hlug\ in\ the\ value\ of \left.\ t.\right\}[/tex]

[tex]The\ infital\ ampunt\ in\ the\ sample:[/tex]

[tex]t=0_{-1}\ \ \ \ \ f(t)=39\omega\bullet(\frac{1}{2})^\frac{0}{14}[/tex]

                        [tex]=3900\ g.[/tex]

[tex]Ater\ bo\ busis.[/tex]

[tex]t=6,\ \ \ \ \ A(t)=2900\times(\frac{1}{2})^\frac{60}{14}[/tex]

                       [tex]=3900\times(\frac{1}{2})^\frac{30}{7}[/tex]

                       [tex]\approx 209.[/tex]

I hope this helps you

:)

Point W has coordinates (4, -7). If it is reflected over the y -axis, what are the coordinates of its image?

A. (4, 7)
B. (-4, 7)
C. (4, -7)
D. (-4, -7)

Answers

Answer:

I thank it is D

Step-by-step explanation:

The following table shows the first segment of a five-year amortization schedule. a 5-year amortization schedule. the amount of interest paid for months 1 through 12 are: 99.03, 97.73, 96.42, 95.10, 93.78, 92.44, 91.09, 89.73, 88.36, 86.98, 85.58, 84.18. after one year of payments, how much has been paid to interest? a. $1,100.42 b. $1,010.16 c. $1,188.34 d. $1,241.18

Answers

After one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.

What is a loan amortization schedule?

It is defined as the systematic way of representation of loan payments according to the time in which the principal amount and interest mentioned in a list manner.

We have a table given that showing a  first segment of a five-year amortization schedule that has a 5-year amortization schedule and the amount of interest paid for months 1 through 12.

As the loan amount is not mentioned in the question, we are assuming the loan amount is $1184.6

Therefore, loan amount = $1184.6

The outstanding amount at the end of one year, which is 12 months, is shown in the table as $84.18

After one year of payments, the amount need to be paid to interest:

= Loan amount - Outstanding amount after 12 months

= 1184.6 - 84.18

= $1100.425

Thus, after one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.

Learn more about the amortization schedule here:

https://brainly.com/question/15357884

Find the slope-intercept equation of the line
that passes through (4, -2) and has a slope of
-3.
a
-

Answers

Answer:

y = -3x + 10

Step-by-step explanation:

We write The slope-intercept equation of a line D Like this

D : y = mx+b    (where m is the slope and p is the y-intercept)

__________________________

According to the given information:

The slope = -3

Then ,the equation of our line is : y = -3x + p

Now we need to find p:

Since The point (4, -2) lie on the line

then

-2 = -3(4) + p

then

-2 = -12 + p

then

p = 12 - 2 = 10

Conclusion:

y = -3x + 10

find x and y if (x-3, -6) and (4, x+y)

Answers

Answer:

See below ~

Step-by-step explanation:

Given

(x - 3, 6) = (4, x + y)

Equating x coordinates to find the value of x

x - 3 = 4x = 7

Equating y coordinates to find the value of y

6 = x + y6 = 7 + yy = -1

Compare coordinates

x-3=4x=4+3x=7

And

x+y=-6y=-6-xy=-6-7y=-13

The circumference of a circle is 9\piπ ft. find its radius, in feet.

Answers

Answer:

r = 4.5 ft

Step-by-step explanation:

Circumference of circle = πd

πd = 9π ft

d = 9π ÷ π

d = 9 ft

Radius = d ÷ 2

            = 9 ÷ 2

            = 4.5 ft

3.) Jacob read 144 pages of his favorite book in 6 hours. What is the average rate the student
reads, in pages per hour?

Answers

Answer: 24 pages per hour

Explanation:
144 pages = 6 hours
24 pages = 1 hour

Hence the rate is 24 pages per hour

Answer:

24 pages per hour :)

Step-by-step explanation:

We need to divide to solve :)

144/6 = 24

Have an amazing day!!

Please rate and mark brainliest!!

Which equation can be used to find the measure of angle gfe? cos−1(startfraction 14.5 over 11.9 endfraction) = θ cos−1(startfraction 11.9 over 14.5 endfraction) = θ sin−1(startfraction 11.9 over 14.5 endfraction) = θ sin−1(startfraction 14.5 over 11.9 endfraction) = θ

Answers

The equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

What are the six trigonometric ratios?

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

The missing information, not present in this question are:

Length of FG = |FG| = 14.5Length of FE = |FE| = 11.9Angle ∠GFE = θ

Since for the triangle GFE, if we look from the angle ∠GFE, the sides given are hypotenuse FG and the base FE.

Thus, we can use cosine ratio, and then its inverse to find the value of angle θ.

Thus, we get:

[tex]\cos(\theta) = \dfrac{|FE|}{|FG|} = \dfrac{11.9}{14.5} \\\\\theta = \cos^{-1}\left(\dfrac{11.9}{14.5}\right)\\\\[/tex]

Thus, the equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

Learn more about inverse trigonometric functions here:

https://brainly.com/question/12551115

Answer:

option B

Step-by-step explanation:

a basketball team torunament has 9 teams. every team will place against another team. how many games will there be

Answers

Answer:

72 games in total

Step-by-step explanation:

hope this helps :)


Kim's cell phone plan costs $20.00 per month. She pays $0.10 for each text message. Which equation can be used to find the
monthly cost (C) of Kim's plan with n text messages?
A c= 20.00 +0.10n
Bc=20.00n +0.10
С
c=20.00n + 10
D = 20.00 + 10n

Answers

Answer:

the second option

Step-by-step explanation:

Jamari's family has completed 60% of their road trip. If they have completed 90 miles so far, how long is the whole trip?​

Answers

Answer:

150 miles

Step-by-step explanation:

If they've completed 60% and have covered 90 miles

We can say

60% = 90 (miles)

We can work out 10% by dividing by 6 on both sides

10% = 15

100% is just 10 times larger

100% = 150

The trip (100% completion) is 150 miles

What type of sampling method should be used when accuracy and generalizability of findings is a primary concern

Answers

The sampling method that ensures the  accuracy and generalizability of findings is a random sampling.

What is random sampling?

The term random samping is a sampling technique in which the participants are selected in a random manner from the population. The sample is selected in such a way that it is representative of the entire population.

The sampling method that ensures the  accuracy and generalizability of findings is a random sampling.

Learn more about random sampling: https://brainly.com/question/12719656

#SPJ1

Wriite the product of 7 and a number w as an expression

Answers

The answer is:

7w

Product is multiplying so 7 x W is 7W

NEED HELP ASAP!!! WILL GIVE BRAINLIEST!! PLEASE DO BOTH!

Answers

solution 1

[tex]\dashrightarrow \sf 6\dfrac{2}{6} *1\dfrac{1}{2}[/tex]

[tex]\dashrightarrow \sf \dfrac{38}{6} *\dfrac{3}{2}[/tex]

[tex]\dashrightarrow \sf \dfrac{114}{12}[/tex]

[tex]\dashrightarrow \sf 9\dfrac{6}{12}[/tex]

solution 2

[tex]\dashrightarrow \sf 5\dfrac{2}{3} *\dfrac{3}{4}[/tex]

[tex]\dashrightarrow \sf \dfrac{17}{3} *\dfrac{3}{4}[/tex]

[tex]\dashrightarrow \sf 4\dfrac{3}{12}[/tex]

Answer:

Question 3) -- C -- 9  6/12

Question 4) -- C -- 4  3/12

Step-by-step explanation:

Hope this helps

Match the equivalent parts of the circle:


Answers

Answer:

1) d

2) a

3) c

4) b

Step-by-step explanation:

7. An engineer is investigating three
engines for fuel efficiency. The table
below shows the results of the tests for
the three engines. Which option gives the
best fuel efficiency? Why?
IT'S A CONSTRUCTED RESPONSE!!!




PLEASE SOMEONE ANSWER ME!!!! :/

Answers

In order to calculate efficiency

Range ÷ Fuel

Option A

528 ÷ 24 = 22 mi/gal

Option B

690 ÷ 30 = 23 mi/gal

Option C

840 ÷ 42 = 20 mi/gal

Option B, gives the best fuel efficiency because the car can travel further using 1 gallons of fuel than others.

Which are factors of 18? Check all that apply. 1 2 3 4 8

Answers

Answer:

1 2 3

Step-by-step explanation: 1 times 18, 2 times 9, 3 times 6

Answer number 10 please thank you

Answers

There’s about an 8% decrease
The answer is 72 because you subtract 828 from 900

What is the surface area of a right rectangular prism with a length of 5.2 mm, a width
of 4.9 mm, and a height of 9.1 mm?

Answers

Answer:

Solution

A=2(wl+hl+hw)=2·(4.9×10-3·5.2×10-3+9.1×10-3·5.2×10-3+9.1×10-3·4.9×10-3)≈2.3478×10-4m²

Step-by-step explanation:

can someone help me please

Answers

I could do it but it honestly is so much work to be just 5 points

What is y=3/4x-2 I need help ASAP please

Answers

Answer: [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation is in the slope-intercept format of y=mx+b

In this format the slope is m

In this case m is [tex]\frac{3}{4}[/tex]

Jessiah has 6 more pencils than grace. miles has twice as many pencils as jessia. they have a total of 50 pencils together. how many pencils does each person have?

Answers

Answer:

Jessiah has 14 pencils

Miles has 28 pencils

Grace has 8 pencils

Step-by-step explanation:

I'm going to assume that you mean Jessaih instead of Jessia because otherwise it would be impossible to solve

Let the # of Jessaih's pencils equal j, # of Grace's pencils equal g, # of Miles' pencils equal m,

j=g+6

m=2j

So m=2(g+6) or 2g+12

Therefore, g+g+6+2g+12, or 4g+18=50, so g = 8

j=8+6, which is 14

m = 2(14), which is 28

what is m ∠3 if m ∠2 = 75 what is m ∠3

Answers

What are we trying to find? A shape, complimentary or supplementary angles?

Answer:

115

Step-by-step explanation:

Pls help in 14
No idea

Answers

As you can see, the area of the scarf is equal to the area of the rectangle minus the area of the 2 semi-circles (which form a circle)

Now, we calculate the area of the rectangle : 28 x 15 = 420 in2

The diameter of the circle is 15in -> The radius = 15 : 2 = 7.5in.

We now find the area of the 2 semi-circles : 7.5 x 7.5 x 3.14 = 176.625 in2

So, the area of the scarf is : 420 - 176.625 = 243.375 in2


The area of the scarf is the whole rectangle minus two semi circle, and two semi circle can be seen as a whole circle

Please help me with this

Answers

Answer:

B) <2≅<6

Step-by-step explanation:

When a transversal crosses over 2 parallel lines there are certain statements that can be made, such as the fact that corresponding angles are congruent.

Defining a Corresponding Angle

Corresponding angles are angles that have the same relative position with different vertices. For example, if 2 angles are both in the bottom left of an intersection of 2 lines, they are corresponding. Since both angle 2 and 6 are in the top right, they are corresponding.

Proving the Lines are Parallel

Since corresponding angles are congruent when a transversal crosses parallel lines, any statement that proves corresponding angles are congruent would prove the lines are parallel. This means that <2≅<6 must prove that l║m.

Process of Elimination

Additionally, we can prove that B is correct by proving that the other answers are incorrect.

A) Angle 2 and 3 are vertical angles. This has nothing to do with parallel lines and cannot be used to prove that l║m.

C) Angle 7 and 8 are a linear pair, and, once again, this has nothing to do with whether or not l and m are parallel.

D) If l and m were parallel, then angles 3 and 5 would sum to 180 degrees. this is because if l║m, then <3 and <5 would be same side interior angles. Same side interior angles always sum to 180. So, this statement would actually disprove l║m.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

When substituting in system of equations you isolate a variable then substitute it in equation. Y=-x-2 goes subs in 3x+3Y=6 so
Y subs with Y. 3x+3(-x-2)=6 which solve into -6=6. This statement is false and therefore these equations have no solution together

A classroom library has a 100 books. Half of the books are fiction. Of the books left, a tenth are about animals. How many animal books does the library contain?

Answer: 5

Answers

Answer:

5

Step-by-step explanation:

half of 10 is 50 on tenth of 50 is 5

I WILL GIVE 5 STARS IN YOUR ACC AND COMMENT AND WILL GIVE YOU A THANK YOU!

Answers

the tree is 18.4 ft tall

Can some help me i dont know the awnser

Answers

I know the answer. it is 7ft

You roll a 6-sided die two times.

What is the probability of rolling a number less than 4 and then rolling a number less than 47

Write your answer as a percentage.

Answers

Answer:

as a non percent 3/6 or 50%

Step-by-step explanation:

A number less than 4 would be 1,2 and 3  so you have 3/6 die chance

Vs. 1,2,3,4,5,6 which are all under 47 so rolling a number like that would be 100% or 6/6

Other Questions
If r(x) = 3x 1 and s(x) = 2x 1, which expression is equivalent to (startfraction r over s endfraction) (6)? startfraction 3 (6) minus 1 over 2 (6) 1 endfraction startfraction (6) over 2 (6) 1 endfraction startfraction 36 minus 1 over 26 1 endfraction startfraction (6) minus 1 over (6) 1 endfraction Please help with 3 and 4 please help me .my topic for myy prepared speech is The power of positive thinking. (GIVING BRAINLLIST AND 100 POINTS) Which describes a significant difference between the Northand the South in the years leading up to the Civil War?O The North did not allow slavery, while the South dependedon it.O The North supported two major political parties, while theSouth supported only one major political party. The North had a system of railways while the South reliedonly on road and river systems.O The North grew its own food, while the South focused oncash crops and imported most of its food. please help with this. Suppose a person is standing on the top of a building and that she has an instrument that allows her tomeasure angles of depression. There are two points that are 100 feet apart and lie on a straight line that isperpendicular to the base of the building. Now suppose that she measures the angle of depression from thetop of the building to the closest point to be 35.5 and the angle of depression from the top of thebuilding to the furthest point to be 29.3. Determine the height of the building. (Round your answer to thenearest tenth of a foot.) acides and basis50 points,sonly smart people can answer -4+x=10 is 13 the solution what is you moon doing a question and 1-4 sentences about Should classes be separated into boys and girls? Calculate the number of grams needed to make 250 mL of 0.150 M NaOH. Gregor Mendel's work helped tosupport the ____. Pencils are sold in boxes of 12. Mrs. Sheridon wants to give 2 pencils to each of her 24 students. How many boxes of pencils will she need to buy? Calculate the simple interest. Round to the nearest cent.$675 is deposited into a savings account that earns 5.75% simple interest for 10 years. You are evaluating the quality of CPR provided by the BLS team. Which methods could you use for this evaluation what is joule ?a. timeb. massc. volume d. length e. none Which of these ordered pairs is a solution to the inequality y 2x 3?Question 3 options:(2, 4)(2, 3)(3, 4)(1, 1) Which of the following is not equal to 64? (the numbers after the comma are exponents6, 42, 64, 38, 2 Does apoptosis cause cancer? The tough, fibrous, outermost covering of the spinal cord is the.