If one of the roots of the equation x² - 4 + k = 0 exceeds the other by 2 , then find the roots and determine the value of k.​

Answers

Answer 1

Answer:3

Step-by-step explanation:

Given

Quadratic equation is [tex]x^2-4+k=0[/tex]

if one root exceeds the other by two

suppose one of the roots is a, then the other is a+2

The Sum of roots is

[tex]=\dfrac{-\text{coefficient of x}}{\text{coefficient of }x^2}[/tex]

[tex]\therefore a+a+2=-\dfrac{-0}{1}\\\\\Rightarrow 2a+2=0\\\Rightarrow a=-1[/tex]

Product of roots

[tex]\Rightarrow (a)(a+2)=\dfrac{k-4}{1}\\\Rightarrow (-1)(1)=k-4\\\Rightarrow k=4-1=3[/tex]


Related Questions

Which inequality represents the situation? The maximum weight, w, an elevator can lift is 2,200 pounds. w ≥ 2,200 w > 2,200 w ≤ 2,200 w < 2,200

Answers

Answer:

w ≤ 2200

Step-by-step explanation:

If a lift can lift a maximum weight of 2200pounds, this means that the lift can not life a weight greater than 2200pounds. For the expression needed, the inequality sign to use will be a less than or equal to sign().

Hence the requires inequality expression will be w ≤ 2200

Determine the y intercept

Answers

Answer:

y intercept is 4

Step-by-step explanation:

Someone please help me

Answers

Answer:

1 read any graph left to right if up positive if down negative

Answer:  1

Step-by-step explanation:

we choice two points to find the slopes.

(0,-5) and (2,-3)

[tex]slope=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\=\frac{-3-(-5)}{2-0}\\=\frac{2}{2}\\ \\=1[/tex]

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 5θ

Answers

Answer:

It's symmetrical to the origin

Step-by-step explanation:

Use desmos for further graphing

Only questions 2, 3, 6, 11, 12, 13 fifth grade

Answers

Answer:

zoo wee mama

Step-by-step explanation:

2-8.172                                                                                                                         3-172 r1                                                                                                                      6-1.04                                                                                                                         11-5/2                                                                                                                        12-1 1/2                                                                                                                       13-16 1/3                                                                                                                       yw!

HELP PLEASEE I STRUGGLING

Sam is needing to make copies of a flyer for his new business. Store W charges $5 for unlimited copies and store Z charges $0.20 per copy and $2 for using the machine.

How many copies makes both stores cost the same amounts?

Answers

Answer:

Eh cafe donete mal reo jama kolotake? 24 eh moi -09....? kelare mei osaje.

car`e 3,000 = 2458.0? maro et

Step-by-step explanation:

find the value of given expression

[tex] \sqrt{2 - 1} [/tex]

Answers

Answer:

Answer is 1 I hope this help

A recipe calls for 11 cups of flour, 3 cup of white sugar, and 1 cup of brown sugar. 248
(a) How many total cups of ingredients are there? Show your work using a number line.
(b) Which of the following mixing bowls can you use to make the recipe: 2-cup, 3-cup, or 4-cup? Justify
your answers. could somebody help me on the number line thing? i got the answer for the equation but I don't know how to add it on a number line. thanks!

Answers

Step-by-step explanation:

complete the number line

The sum of five and twice a number is at most 17. Which of the following inequalities can be used to find the number. (Please help it's graded).

Answers

Answer:

n ≤ 6

Step-by-step explanation:

5 + 2n ≤ 17

2n ≤ 12

n ≤ 6

help me plssssssssssssssssss

Answers

Answer:

kmkioppppppppoiiu yw quip all cm ms all pure 100.00

I need help what’s the answer!!

Answers

You're right, 20 is correct

20 x 20 x 20, aka [tex]20^3[/tex] = 8000,

so [tex]\sqrt[3]{8000} = 20.[/tex]

30008876543*98765435678

Answers

I got math error ahhhaha

Math error sorry well good bye to you ma’am

3 boys shared a box of chocolate. The first boy got 3/8 of the total and the 2nd boy got 2/5 of the remainder and the 3rd boy got 9. How many chocolates were in the box and how many did the boy with the smallest share get?​

Answers

Answer:

1. there were 24 chocolates in the box at first.

2. the boy with the smallest share received 6 chocolates.

Explanation:

let's represent the number of chocolates in the box with 8x.

the first boy got ⅜ × 8x  = 3x chocolates. now, there are 8x - 3x = 5x chocolates remaining.

the second boy got ⅖ × 5x = 2x chocolates. now, there are 5x - 2x = 3x chocolates remaining.

3x = 9 chocolates

x = 3 chocolates

since the original number of chocolates was represented by 8x, we now know that there were 8 × 3 = 24 chocolates in the box at first.

the first boy got 9 chocolates, the second boy got 6 chocolates and the last boy got 9 chocolates. thus, the boy with the smallest share got 6 chocolates.

i hope this helps! :D

How much thermal energy is released when 269.8 grams of tungsten, with a specific heat of 0.134 J/g°C, cool to 20.56°C from 212.7°C?

Answers

JWNWNWNENENENNEE WBWHJWJWJWEJE. EEJENE ENENEBEBEJE

Factor completely. 492 – 9 =?​

Answers

Answer:

483

Step-by-step explanation:

Answer:

483

Step-by-step explanation:

subtract 492 by 9 and it is =483

Whoever gets the question right I will mark as brainliest

Answers

Calculate volume of the prism

20 × 12 × 15

= 3600 in³

divide volume of prism with volume of container

3600 ÷ 400

= 9

9 times

R varies inversely with x. If R= -2 when x = 6, what is the value of R when x = -3?
Ο Α. -1
0 B 4
O C.-4
OD. 1

Answers

Answer:

R=x = R= −2 =x =6 =R =x =− 3=

Step-by-step explanation:

10
9
Ryan and Daniel are both packing boxes at a factory. Ryan can pack three boxes every hour. The number of boxes Daniel can pack in
x hours is represented by the equation below.
y = 45
Which of the following correctly describes the two functions?
OA. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of
change than Ryan's function indicating that Daniel can pack more boxes per hour.
0
ОВ.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Daniel's function has a greater rate of
change than Ryan's function, indicating that Daniel can pack fewer boxes per hour.
OC.
The number of boxes that can be packed by Ryan and Daniel each increases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack more boxes per hour.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack fewer boxes per hour.
OD.
10
Reset
Submit
Submit
8 of 10 Answered
Session Timer: 21:09
Session Score: 38% (318)
- 15

Answers

Answer:

A. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of

change than Ryan's function indicating that Daniel can pack more boxes per hour.

Step-by-step explanation:

Given

Ryan: 3 boxes per hour

Daniel: [tex]y = 4h[/tex]

Required

True statement about their functions

First, we calculate Ryan's function.

In 1 hour, he can pack 3 boxes.

In hours, he can pack 3h boxes.

So, the equation is:

[tex]y = 3h[/tex]

So, we have:

[tex]y = 3h[/tex] ---- Ryan

[tex]y = 4h[/tex] --- Daniel

Both functions represent direct proportional functions.

So, when h increases y also increases.

However, Daniel's function has a greater rate of change because[tex]y = 4h[/tex] implies that he can pack 4 boxes per hour while Ryan can pack 3.

Please help I really don’t understand this question

Answers

Answer:

I will explain it to you in a jiffy ok? Can you wait a sec

A scientist began a study with a sample of 1,500 bacteria. He noticed that
the number of bacteria in the sample after t days can be modeled by the
equation P=1,500.5. In this equation, what does 5t represent?
A. The number of bacteria increases by a factor of t each day for 5 days.
B. The number of bacteria increases by t bacteria after 5 days.
C. The number of bacteria increases by 5 bacteria each day.
D. The number of bacteria increases by a factor of 5 each day.

Answers

Answer:

C

Step-by-step explanation:

An artist pays an art show director $ 86 to reserve a booth at the show and $ 15 per painting sold at the show

Answers

The question is incomplete:

An artist pays an art show director $ 86 to reserve a booth at the show and $ 15 per painting sold at the show. Which statement is true?

a. The expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.

b. The expression 15 p + 86 represents the total number of paintings, p , the artist sells at the art show.

c. The expression 86 p + 15 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.

d. The expression 86p+15 represents the total number of paintings, p, the artist sells at the art show.

Answer:

a. The expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.

Step-by-step explanation:

With the information provided, you can say that the total  amount the artist pays for selling a certain number of paintings is equal to the result of multiplying the price per painting for the number of paintings plus the amount to reserve a booth at the show. So, the expression that represents this situation 15p+86. According to this, the answer is the expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.

This question has two parts. First, answer Part A. Then, answer Part B. Part A Pete is making 8 identical fruit baskets as gifts. Each basket contains some apples and 12 oranges. Pete uses a total of 168 pieces of fruit to make the baskets. Which equation can be used to determine the number of apples, a, that are in each basket? Multiple choice question.

Answers

Answer:

a = 21 - 8

Step-by-step explanation:

to determine the number of apples in each basket, first determine the total number of fruits in each basket and subtract it from the number of oranges in each basket

number of fruits in each basket = 168 / 8 = 21

a = 21 - 8

Work out the length x.
17 cm
9 cm

Answers

Answer:

14.4222051019 or 14.42

Step-by-step explanation:

a^2 + b^2 = c^2

x^2 + 9^2 = 17^2

x^2 + 81 = 289

x^2 = 289 - 81

x^2 = 208

x = 14.4222051019 or 14.42

what kpop dances do you recommend to help you , lose weight?
My sister was asking but i didnt know how to answer her..

Answers

Answer:Wonder Girls-Like This. Perfect workout, especially for your inner thighs! ...

Sistar-Loving You. Another great leg workout. ...

Sistar-Touch My Body. Very fun and lighthearted. ...

Sistar19-Ma Boy. Same. ...

Secret-Madonna. I love this dance, it's a classic on my workout routine. ...

Secret-Love Is Move. ...

Hyuna-Bubble Pop. ...

Step-by-step explanation:

How many 3/4s are in 2

Answers

How many three-fourths are in 2? 2 complete sets of three-fourths can be made and 2 of the 3 pieces need to make \frac34 are left over, so we have another \frac23 of a three-fourths. and we can see that there are 2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.

Answer:

2

Step-by-step explanation:

If you do three you get more than two

How can I speak to a tutor

Answers

The best way i think is to contact a school counsellor or school staff! Their job is to help you so if you go to your teacher for help they will help you. If you feel more comfortable working with somebody else, talk to a school staff member and they will either find you a peer tutor or a proffesional tutor! Comment me if you need any help with anything!
contact your school!! or maybe online has some good tools :)

18 is 14 percent of what?

Answers

Answer:

18 is 14% of 128.5714

Step-by-step explanation:

it's 77.78

Step-by-step explanation:

14: 18*100 =

(14*100): 18 =

1400: 18 = 77.78

Now we have: 14 is what percent of 18 = 77.78

Question: 14 is what percent of 18?

Percentage solution with steps:

Step 1: We make the assumption that 18 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=18$100%=18.

Step 4: In the same vein, $x\%=14$x%=14.

Step 5: This gives us a pair of simple equations:

$100\%=18(1)$100%=18(1).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{18}{14}$100%x%=1814

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{14}{18}$x%100%=1418

$\Rightarrow x=77.78\%$⇒x=77.78%

Therefore, $14$14 is $77.78\%$77.78% of $18$18.

Walmart pays $2.50 for a 30 pack of individual chips. They markup the chips by 319%? How much is the 30 pack of chips at Walmart? Include a unit/label with your answer. ROUND TO THE NEAREST CENT. *

Answers

Answer:

$7.975 or $8

Step-by-step explanation:

2.50 x 3.19 = 7.975

Eveline made a scale drawing of a patio she is planning to build

1 cm: 2.5 m

A: 12 cm

C: 13 cm

B: 5 cm

Which proportion could Eveline use to find the length of side A?

Answers

Answer:A 12 cm

Step-by-step explanation:

because 5 rounds 2 to 3 and 3 divdied by 12 is 4 sinbce it is equal.

standard deviation of the data. 221,228,218,319,224​

Answers

Answer:

Population: 38.64. Sample: 43.20

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