The roots of the equation x^2+bx+c =0 are -4 and 2. Find c using the quadratic formula

Answers

Answer 1

Answer:

Step-by-step explanation:

Hello,

c= -4 * 2 = -8 as

[tex]x^2+bx+c=(x+4)(x-2)=x^2+2x-8[/tex]

with the quadratic formula

[tex]x_1=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}[/tex]

And

[tex]x_1x_2=\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{c}{a}[/tex]

thanks


Related Questions

Solve The equation mx + 3b = 25 for x *

Answers

x = 25 - 3b.

subtract 3b from both sides of the equation

PLEASE TELL ME DONT MIND ME TRYING TO ANSWER JUST PLEASEE

Answers

Answer:

18 hours. For 1 hour you packed 10 boxes.

Step-by-step explanation:

The answer it’s 18 hours

Evalute each expression for s=4 and t=8
1) (s+t)^3
2) s^4+t^2+5/2
3) (st)^2/(st^2)

Answers

Answer:

1) 1728

2)322.5

3)4

............

What 2+2.... I need help lololololol.olo

Answers

Answer:

4

Step-by-step explanation:

2+2 is 4

4 :) you’re welcome

finding the slope
(-2,-2) , (11,-10)​

Answers


y = 12/13x - 2/13, characters

Peter says, "If you subtract 19 from my number and multiply the difference by -3, the result is
- 21." What is Peter's number?
Peter's number is?

Answers

Answer:

26

Step-by-step explanation:

Let the peter's number be represented    x

Given that

1. if you subtract 19 from my number

writing it mathematically it will be x -19

2. multiply the difference by -3

it can be written as

since difference is x-19

multiplied the difference with -3

-3(x-19)

3. the result is -21

-3(x-19) = -21

dividing both side by -3

-3(x-19)/-3 = -21/-3

x-19 = 7

adding 19 both sides

x-19 + 19  = 7 + 19

x = 26

Thus, peter's number is 26.

Is this statement always true, sometimes true, or never true: Whole numbers are integers.
1. Always True
2. Sometimes True
3. Never True

Answers

Answer: Always true

Step-by-step explanation:

Whole numbers including 0 are always integers

3/7 times 13 as a mixed number

Answers

Answer:

[tex]5\frac{4}{7}[/tex]

Step-by-step explanation:

Answer is 39/7 or 5 and 4/7

find the value of x ​

Answers

Answer:

141°

 

Step-by-step explanation:

  The angle given is 39°;

 

Since this problem deals with angles in a transversal, it is easy to solve.

Now;

       Angle given is a corresponding angle to the angle a;

  Corresponding angles are equal; so angle a  = 39°

Also,

   angle a is corresponding to angle b;

         angle b  = 39°

So, angle b and x are on a straight line;

           b  + x  = 180

                  x = 180 - 39  = 141°

 

CONSTRUCTED-RESPONSE ITEM 14. Four people each deliver food to people's homes.
19
Constructed Responses
..
Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles.
...
A. How much does Curtis charge to deliver the food?

Answers

Answer:

I'm Pretty Sure it is $16.20

Step-by-step explanation:

First, you add 2.50 + 0.20 and you get 2.70. Then, you get 2.70 x 6 miles and you get 16.20. Hope this helps! :)

i need help solving for x

Answers

Your welcome.
Ask if you didnt get it.
The person above me is right

Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase.
How often will a bag contain both a T-shirt and socks?
T shirt: Every fourth bag
Socks: Every third bag

Answers

Answer: Every 12th bag has both a T-shirt and socks.

Step-by-step explanation:

Given: T shirt: Every fourth bag

Socks: Every third bag

Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12

It implies every 12th bag has both a T-shirt and socks.

Hence,  Every twelfth bag has both a T-shirt and socks.

find the trig value (with work)

Answers

Answer: B (4/5)

Step-by-step explanation:

SOH CAH TOA

T = opposite/hypotenuse

Opposite = 32

Hypotenuse = 40

Simplify 32/40 = 4/5

Please answer question a & b.

a) Work out the following:

3/4 - 7/9 + 2


b). Which is the largest of the following numbers?

0.1, 0.02, 0.003, 0.0004, 0.00005

Please help due today.

Answers

Answer:

a)

b)0.1

pls refer to the pic

A bakery offers a sale of 3.50 for 6 muffins what’s is the price per dozen

Answers

$7
six muffins is half of a dozen. And if it costs $3.50 for half a dozen you multiply 3.50 by two
3.50 x 2 = 7

This is a fast question i will give you brainlest if you annswer this question What is elapsed time also what 100 ÷ 300 no rush just try yiur best. Thank you​

Answers

Answer:

100÷300 =3 I know only this answer

help please?
What is the value of 4x + 3y - z, when x = 2, y = -3 and z = 1 *

Answers

Answer:

-2

Step-by-step explanation:

When you fill it in you get 4(2)+3(-3)-1 then multiply and add

Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their​ grade-point averages​ (GPAs) after students were in the Sante Fe program for 2 years.
Student A B C D E F G
SAT Score 421 375 585 693 608 392 418
GPA 2.93 2.87 3.03 3.42 3.66 2.91 2.12
Student H I J K L M
SAT Score 484 725 506 613 706 366
GPA 2.50 3.24 1.97 2.73 3.88 1.58
The​ least-squares regression equation that shows the best relationship between GPA and the SAT score is:_____.

Answers

Answer:

y=1.003009+0.003453x

or

GPA=1.003009+0.003453(SAT Score)

Step-by-step explanation:

The least square regression equation can be written as

y=a+bx

In the given scenario y is the GPA and x is SAT score because GPA depends on SAT score.

SAT score (X) GPA (Y) X²         XY

421           2.93 177241 1233.53

375          2.87         140625 1076.25

585          3.03 342225 1772.55

693          3.42  480249 2370.06

608          3.66 369664 2225.28

392          2.91  153664 1140.72

418           2.12  174724 886.16

484          2.5    234256 1210

725             3.24  525625  2349

506          1.97   256036 996.82

613           2.73  375769 1673.49

706          3.88 498436 2739.28

366           1.58  133956 578.28

sumx=6892

sumy=36.84

sumx²=3862470

sumxy=20251.42

n=13

[tex]b=\frac{(nsumxy)-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }[/tex]

b=9367.18/2712446

b=0.003453

a=ybar-b(xbar)

ybar=sum(y)/n

ybar=2.833846

xbar=sum(x)/n

xbar=530.1538

a=2.833846-0.003453*(530.1538)

a=1.003009

Thus, required regression equation is

y=1.003009+0.003453x.

The​ least-squares regression equation that shows the best relationship between GPA and the SAT score is

GPA=1.003009+0.003453(SAT Score)

helllllpppppp pleasxee huryyyyy

Answers

Answer:

Bottom left

Step-by-step explanation:

Function: each x only has one y, and this is the only graph that fits the description

The answer is the bottom left one!

What’s the ratio 217:279 simplified

Answers

Answer:

666:999

Step-by-step explanation:

olyiuuuyyiuuuuuu

What number is represented by a point 6 units to the left of 5 on the number ling
shown

Answers

Answer:

-1

Step-by-step explanation:

5-6=-1

i am confuse on this. I tried to figure it out. but I couldn't please help

Answers

Answer:

A and B?

Step-by-step explanation:

Correct me if im wrong plz

Answer:

A and B

If i am wrong correct me please

set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?
111
125
143
250

Answers

Answer:

125

Step-by-step explanation:

The theoretical probability is 1/8 and (1/8)*1000=125

Answer:

b

Step-by-step explanation:

got it right

In the problem below, which line contains an
error?
Line 1: 6x - 2(x + 5) = 22
Line 2: 6x - 2x - 10 = 22
Line 3: 8x - 10 = 22
Line 4: 8x = 32
Line 5: x=4
a) Line 2
b) Line 3
c) Line 4
d) Line 5

Answers

b) line 3 because when they combined like terms, 6x and -2x they added 6 and 2 but should’ve done 6 plus -2

pleas yall help ill give you brainiest if you help

Answers

Answer:

C) $3557.75

Step-by-step explanation:

First...

Use the equation SI = PRT/100 or (simple intrust is equal to principle*rate*time divided by 100).

(53500*13.3*0.5)/100

Next...

Mutiply

355775/100

Finally...

Divide

355775/100 = 3557.75

So the answer is...

$3557.75

what's
b-a=
c-b=
im confused someone help pleaseee

Answers

Answer: n minus c would equal c c minus b would equal z

Step-by-step explanation:

Consider the accompanying set of dependent and independent variables. The variable x3 is qualitative with H=​High, M=​Medium, and L=Low. Complete parts a and b below.

y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M


Required:
a. Using​ technology, construct a regression model using all three independent variables.​
b. Complete the regression equation for the model​ below, where x3 represents the dummy variable Cond1​, and x4 represents the dummy variable Cond2.

y= ____ + (____)x2+ (____)x3 + (____)x4

Answers

Answer:

Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4

Step-by-step explanation:

y 63 53 77 53 38 43 34 20 13

x1 45 42 40 37 27 24 20 14 12

x2 74 62 80 53 42 48 35 16 13

x3 H H L M H M L L M

For regression analysis : all variables must be quantitative ;

X3 variable may be represented as thus;

L = 1 ; M = 2 ; H = 3

Hence ;

X3 = 3 3 1 2 1 2 1 1 2

y= ____ + (____)x2+ (____)x3 + (____)x4

Using the online multiple regression calculator :

Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4

From the general formular of a linear model:

y = w1x1 + w2x2 +... + wnxn + c = 0

Where c = intercept

w1,.. wn = weight of explanatory variable

Hence, the weights of x2 = 0.2068

Weight of x3 = 0.7995

Weight of x4 = - 3.607

Intercept = 6.6406

apply the distrubtive property to simply the expression -3(6x+ 2)

Answers

Answer: -18x-6

Step-by-step explanation:

You're just multiplying the number outside of the parenthesis (-3) by the coefficients (number by X) and the constants (numbers without a variable by them).

-3 x 6 = -18

-3 x 2 = -6

(+ -6 can be written as -6)

Five males with an​ X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the​ X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied.

Answers

Answer:

5-3+12=7

Step-by-step explanation:

A fair die is rolled three times. A 4 considered success while all other outcomes are failures. Find the probability of each number of successes.

Answers

Answer:

Probability of success = 1/6.

Step-by-step explanation:

A die has 6 sides, all different assuming the die is fair. If a 4 is the ONLY successful outcome, the probability of a successful outcome is 1/6, and the probability of a failed outcome is 5/6, because 5 of the 6 sides are not the number 4.

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