if one zero of the following polynomial 8x^2-13x-4k is the reciprocal of the other, then find k

Answers

Answer 1

Answer:

k = -2

Step-by-step explanation:

2 way to solve:

1st: 8x²-13x-4k = 8(x²-(13/8)x-(k/2))

if 2 roots: a and 1/a

8(x-a)(x-1/a) = 8(x²-(13/8)x-(k/2))

x²-(a+1/a)x+1 = x²-(13/8)x-(k/2)

1 = -(k/2)

k = -2

2nd: 2 roots of 8x²-13x-4k      x=(-b±√b²-4ac)/2a

x = (13±√169-4*8*(-4k))/16 = (13±√169+128k)/16

(13+(√169+128k))/16 = 16/ (13-(√169+128k))  ... root1=1/root2

(13+(√169+128k))*(13-(√169+128k)) = 16*16

13² - (√169+128k)² = 256

169-169-128k = 256

-128k = 256

k = -2


Related Questions

What is(are) the intercept(s) of the exponential function shown below?

Answers

Answer:

option D

Step-by-step explanation:

for x intercept

the curve crosses the x asis at 1

then for y intercept it crosses the y axis at-2

that's all...have fun

What is the length of EF in the right triangle below?
A: 54
B: 24
C: 1296
D: 585
E: 36
F: square root of 576

Answers

The length would be 36

The number of tenths in 3 3/5

Answers

Answer:

18

Step-by-step explanation:

3 × 3/5 = 9/5

9/5 = x/10

x = (9 × 10) ÷ 5

x = 18

Gabe has a great job. He earns money on an hourly basis and he was given a signing bonus to switch jobs. He forgot how much they said they would pay him by hour but on his time card he has at 4 hours he has earned 1,120 and at 10 hours he has earned 1,480. What is an equation that will model this situation? How much money will he earn in a 40 hour work week?

Answers

Answer:

Pay for 40 hours would be [tex]\geq 40 * 148[/tex]

Step-by-step explanation:

Gabe works for 4 hours and earns $ 1,120

Pay for one hour is [tex]\frac{1120}{4} = 280[/tex]

When he works for 10 hours, he earns $1480.

Pay for one hour is

[tex]\frac{1480}{10} = 148[/tex]

Thus the per hours pay must be greater than or equal to 148 dollars

Pay for 40 hours would be [tex]\geq 40 * 148[/tex]

x on the top and 24 on the bottom 11 on the top 6 on the bottum

Answers

Answer:

x = 44

Step-by-step explanation:

this is a proportion which you can solve by cross-multiplying:

6x = 24·11

6x = 264

x = 264/6

x = 44

Answer:

c

Step-by-step explanation:

AD and MN are chords that intersect at point B.


A circle is shown. Chords A D and M N intersect at point G. The length of A B is 9, the length of B D is x + 1, the length of M B is x minus 1, and the length of B N is 15.


What is the length of line segment MN?

Answers

Answer:

[tex]MN = 18[/tex]  

Step-by-step explanation:

Given

[tex]AB = 9[/tex]

[tex]BD = x + 1[/tex]

[tex]MB = x - 1[/tex]

[tex]BN = 15[/tex]

See attachment

Required

Determine MN

The products of the segments of two chords that intersect are always, equal.

So, we have:

[tex]AB * BD = MB * BN[/tex]

[tex]9 * (x + 1) = (x - 1) * 15[/tex]

Open bracket

[tex]9x + 9 = 15x - 15[/tex]

Collect like terms

[tex]15x - 9x = 9 + 15[/tex]

[tex]6x = 24[/tex]

Solve for x

[tex]x = \frac{24}{6}[/tex]

[tex]x = 4[/tex]

The length of MN is calculated as:

[tex]MN = MB + BN[/tex]

[tex]MN = x - 1 + 15[/tex]

Substitute [tex]x = 4[/tex]

[tex]MN = 4 - 1 + 15[/tex]

[tex]MN = 18[/tex]  

Answer:

C. 18 units

Step-by-step explanation:

Please Help, Please Help, Please Help

Answers

Answer:

a=76 b=83

Step-by-step explanation:

for a. we divide 6688(area) by 88 to find the width bc 88*w=6688

6688/88 is 76 so a=76

Since 312 is perimeter we have to subtract 73 twice and then divide that by 2 bc 73+73+L+L=312

(312-73-73)/2=83 so b=83

im struggling id.k the answer it may be a or c in my opinion helpp

Answers

Answer:

I,m pretty sure your right to go with A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Can someone help me with this?

Answers

9514 1404 393

Answer:

2b +2c35h +15mef +eg

Step-by-step explanation:

The outside factor multiplies each term in parentheses.

a) 2(b+c) = 2b +2c

b) 5(7h +3m) = 5×7h +5×3m = 35h +15m

c) e(f +g) = ef +eg

Smo answer these and show work plz

Answers

Answer:

Step-by-step explanation:

1) multiply the three dimension

V = 7 x 2 x 4 = 56 cm^3

2)  find the base area

base area = (9 x 3)/2 = 13,5 km^2

multiply the base area for the height

V = 13,5 x 5 = 67,5 km^3

3) find the trapezoid area

trapezoid area = [(base 1 + base 2) x h]/2 = [(4+6) x 1.7]/2 = 8.5 cm^2

mutiply the trapezoid area for the height that the priam would assume if the base will touch the ground

V = 8.5 x 4 = 34 cm^3

4) find the base area

base area = radius^2 x pi = 2^2 x pi = 12,57 yd^2

multiply the base area for the height

V= 12.57 x 6 = 75.40 yd^3

5) find the base area

base area = 9^2 x pi = 81 x pi = 254.47 ft^2

multiply the base area for the height

V = 254.47 x 5 = 1272.35 ft^3

6)  multiply the three dimensions

V = 12 x 11 x 9 = 1188 yd^3

7) find the trapezoid area

trapezoid area = [(12+6) x 6.3]/2 = [20 x 6,3]/2 = 63 in^2

mutiply the trapezoid area for the height that the priam would assume if the base will touch the ground

V = 63 x 16 = 1008 in^3

8) find the base area

base area = (leg1 x leg 2)/2 = (4 x 3)/2 = 6 m^2

multiply the base area for the height

V = 6 x 9 = 54 m^3

Answer:

hope this helps you out good luck with your math

what is the error in the problem below

Answers

Answer:

27 - 6 × 4 is not 84 ( Filler because I need it to be 20 characters long)

Mikey bought 4 of the 500 raffle tickets sold to
win a new TV. What is the probability that he will
win the TV

Answers

Answer:

4/500

Step-by-step explanation:

Find the value of w.
108
40
w = [?]
Please help

Answers

The value of w is 54 degrees

How to determine the value of w?

From the figure, we can see that:

The angle w intercepts the arc that has a measure of 108 degrees

This means that:

w = 0.5 * 108

Evaluate the product

w = 54

Hence, the value of w is 54

Read more about arcs at:

https://brainly.com/question/25871159

#SPJ1

Sidney is a salesperson. She sold a water heater for $410 and earned 14% commission.
How much commission did Sidney earn?

Answers

Answer:

$57.40

Step-by-step explanation:

Hope this helps!!

(a) Anne, Barry and Colin share a prize in the ratio 3:4:5.
Colin gives 1/3 of his share to a charity.
What fraction of the whole prize does Colin give to the charity

Answers

Answer: 1/12

Step-by-step explanation:

1. Add up the 3 parts making 12

3:4:5 = 3+4+5=12

2. Out of the ratio we know that Colin gets 5 parts which is 5/12

3. If we subtract 5/12 from 1/3 we should get an answer of 1/12

5/12-1/3 =1/12

HELP ASAP TIMED!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

1 ans 35/37

2 ans 0.95

3 ans 12/37

4 ans 0.32

Rewrite 5 3/7 as an improper fraction.

Answers

the answer should be 38/7

Answer: 38/7

Step-by-step explanation:

5 3/7

5×7+3

35+3 = 38

38/7

in which quadrant is the point (-2, -3) located

Answers

(-2,-3) is located in Quadrant 3!!

I DONT GET IT DO U?????????????????

Answers

use the distribution property for #10
(x+12)(x-5)
=x^2-5x+12x-60
=x^2+7x-60

not too sure abt the others

Caitlyn ran 12 laps at the school track each lap was 3/5 of a mile how many miles did she run

Answers

First do 3/5 = .6 than do .6 times 12 because that’s how many laps she ran. So your answer is 7.2! Hope this helps!!

Answer:

Step-by-step explanation:

You have to multiply 12 × 3/5 = 7 1/5. Hope this helps

Please help its urgent
The number of mosquitoes at the beginning of the summer was 4,000.The population of mosquitoes is expected to grow at a rate of 25% a month.How many mosquitoes will there be in 4 months.
9,006
9,765
5,433
9,766

Answers

Answer:

A. 9,006

Step-by-step explanation:

First we need to find 25% of 4,000

4,000/4 = 1000

So we know there are 1,000 mosquitoes a month.

So In 4 months it would be 4,000 more mosquitoes.

That would be 8,000 but i don't see that so I would say A.

Let me know if I'm correct.

Can you please tell me the table of 12?

Answers

Answer:

you have the table of the 12in the photo

Step-by-step explanation:

Answer:

12×1=12

12×2=24

12×3=36

12×4=48

12×5=60

12×6=72

12×7=84

12×8=96

12×9=108

12×10=120

In your question

the table of 12 is correct

hope it is helpful to you ☺️☺️☺️☺️☺️

The circumference of a circle is 22 cm.
What is the area of 1o of the circular region?
(Use = 2)
O 2.2 cm2
O 3.5 cm2
O 3.85 cm2
0 38.5 cm2

Answers

[tex] \bf \: Circumference \: of \: a \: circle = 2\pi \: r[/tex]

[tex] \implies22 = 2 \times \dfrac{22}{7} r[/tex]

[tex] \implies22 = \dfrac{44}{7} \times r[/tex]

[tex] \implies \: r = \dfrac{22 \times 7}{44} [/tex]

[tex] \implies \boxed{ r = \dfrac{7}{2} }[/tex]

Now,

[tex] \bf \: Area \: of \: circle = \pi {r}^{2} [/tex]

[tex] \rightarrow \: \frac{22}{7} \times ({ \frac{7}{2}) }^{2} [/tex]

[tex] \rightarrow \frac{22}{ \cancel7} \times \frac{ \cancel{49}}{4} [/tex]

[tex] \rightarrow \: 22 \times \frac{7}{4} [/tex]

[tex] \rightarrow \: 11 \times \frac{7}{2} [/tex]

[tex] \rightarrow \frac{77}{2} [/tex]

[tex] \rightarrow \: 38.5 \: cm {}^{2} [/tex]

Area of rectangle = 38.5 cm².

Someone please answer #10,11,13 and 14 .. proportionss

Answers

Answer:

in pic

Step-by-step explanation:

PLEASE MARK BRAINLIEST

graph f(x)=x^2nand g(x)

Answers

Answer:

can sombody help awnser my problem

it's due in 10 minutes

The net of a rectangular pyramid and its dimensions are shown in the diagram. What is the total surface area of the rectangular prism in square inches?

Answers

Answer:

A 37

Step-by-step explanation:

MARK me branlies  please

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

a.

Step-by-step explanation:

please click the heart and rate excellent and pa brainleist po please ☺️☺️

List another value that would make this inequality true.
9n ≥ 117
(How did you solve this)

Answers

Answer:

n ≥ 13

13

Step-by-step explanation:

There are 5.4 pounds of raisins in the bag. If Mom used 0.45 of a pound in each batch of cookies, how many batches can she make?

Answers

Answer:

12

Step-by-step explanation:



The area of the triangle below is 25/12 square centimeters. What is the length of the
base? Express your answer as a fraction in simplest form.
5/3 cm is the height

Answers

Answer:

5/2 cm

Step-by-step explanation:

Given that:

Area of triangle = 25/12 cm

Height of triangle = 5/3 cm

Let,

Length of the base = b

Recall :

Area of a triangle = 1/2 * base * height

Substitute the values above into the equation :

25 /12 = 1/2 * b * 5/3

25 /12 = 5b/ 6

Using cross multiplication

25 * 6 = 12 * 5b

150 = 60b

Divide both sides by 60 to isolate b

150/60 = 60b / 60

b = 5/2 cm

Other Questions
Why might a judge refuse to hear a job-related dispute about how much a company is paying its workers?A. A judge only has authority in his or her own courtroom.B. It is considered a moot question.C. It is considered a political question.D. Other remedies are considered to be available. What is the freezing point of water if 15.0 g of NaCl is dissolvedin 100. g of water? (Kf of water = 1.86 K-kg/mol)a255 Kb 263 KC273 Kd 268Ke 277 K please help asap Consider the four equations below. Is there one equation that you think doesn'tbelong with the others? (Factoring each might help) A person invested \$150$150 in an account growing at a rate allowing the money to double every 13 years. How much money would be in the account after 22 years, to the nearest dollar? Can someone pleaseeee help and if youre correct ill give brainliest Right any Quetion of a circle with a center at (3, -8) and a radius of 13 someone help me pls i will give brainlistwrite only answers Describe the conversion of light energy in a blackberry plant. PLEASE HELP ME! NO LINKS! Exemples de figures de style Find the missing number to complete the linear equation that gives the rule for this table This is 7th grade accelerated math Pls help ASAP this is due soon The pentagons and are similar.Find the length of .ADE14123PST2824xADE14123PST2824x PLEASE HELP! I'LL GIVE BRAINLEST. PLEASE A RIGHT ANSWER (21 - 5) divided by 8 rlly ez short question pls answer and ty Who is office chief? People who are confident but notabout their own talents are moreimpressive than people who don't believe in their own abilities.A.aggressiveB.arrogantC.insecureD.embarrassed Enter a linear equation that models the situation.A drugstore sells pens for $1.30 each and notebooks for $3 each. The owner would like to sell $35 ofthese items each day. Use p for the number of pens and n for the number of notebooks.A linear equation that models the situation is= 35. Help me plzzzzzzzzzzzz