Solve x2 + 8x − 3 = 0 using the completing-the-square method

Answers

Answer 1

Answer:

[tex]\sqrt{19} - 4 \\or\\ - \sqrt{19} - 4[/tex]

Step-by-step explanation:

[tex]x^2+8x-3=0 \Rightarrow x^2+2.4.x+16-19=0\\\Rightarrow (x+4)^2=19 \\Then\\ x+4 = \sqrt{19} \Rightarrow x= \sqrt{19} - 4 \\or\\x+4 = -\sqrt{19} \Rightarrow x= -\sqrt{19} - 4[/tex]


Related Questions

Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number of the pattern and b is the number of blocks in each figure. How many blocks are needed to make the 9th figure in the pattern?

Answers

I don't know i just want some points

Step-by-step explanation:

well thank you anyways hope someone else can help you i am sorry.

What is the equation of an exponential function?
1)y=mx+b
2)a=b+c
3)y=a (b)^x
4)y=ax^2+bx+c

Answers

The is answer is choice 3

PLEASE ANSWER FAST!! :)
Which strategy is the most appropriate to solve 5x^2-x+3=0
a. square root property
b. quadratic formula
c. zero product property

Answers

It would be bbbbbbbbb

how many different ways can officers be appointed

Answers

32,760 hopefully this helps

Roger has to place cookies in plastic bags for a bake sale. He has 84 sugar cookies and 66 chocolate chip cookies. He wants to place the same number of cookies in each bag, wants to make sure that only one type of cookie goes into each bag, and wants to put the most cookies he can in each bag. How many cookies should be in each bag

Answers

Answer:

6 cookies

Step-by-step explanation:

Roger wants to place 84 sugar cookies and 66 chocolate chip cookies into plastic bags. Each bag must have the same number of cookies and only one type of cookie must be in each bag.

For the 84 sugar cookies:

number of cookies : 1    2     3      4      6     7      12      14      21     28    42    84

number of bags    : 84   42   28    21    14    12     7        6       4       3      2        1

For the 66 chocolate cookies:

number of cookies : 1       2      3       6      11       22     33      66

number of bags      : 66   33    22     11       6       3        2       1

The maximum common factor between 84 and 66 is 6.

Therefore 6 cookies should be placed in each bag. For sugar cookies, 6 cookies would be placed in each of the 14 bags while for the chocolate cookies, 6 cookies would be placed in each of the 11 bags.

12 4/9 +14 5/12= What’s the answer for this problem

Answers

Answer:

The answer would be 28 93/108 or 28 31/36

Step-by-step explanation:

Answer:

26 31/36

Step-by-step explanation:

Jerome makes and sells his own energy drinks. He mixes powdered drink mix with water to create his own special blend.

Jerome usually uses 8 cups of water and 3 cups of drink mix. Tomorrow, there is a road race in town, however, and Jerome thinks he’ll be able to sell a lot more of his energy drinks than usual.

Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.

Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio the same and still increase the total amount of energy drink.

Who is correct: Jerome’s brother or Jerome’s sister?

Answers

Answer:

Jerome's brother

Step-by-step explanation:

300 hundreds= how many tens! Pls answer ASAP

Answers

Answer:

300÷10=30

Step-by-step explanation:

hope this helps

Answer:

there are 30 tens in 300

Step-by-step explanation:

solve this in a class of 80 students studying for a national examination test for student study English 29 study history 14233 cafe to study English and History for to study geography and history and its study English and geography wife or did not study any of the three subject question 1 how many students study three subjects question two how many student study are any combination of the two subjects​

Answers

Answer:

The first thing I am going to say about the Olympic Games is the way the world is in its own right now and the conclusion sentence is a bit of a mystery for you to see if it can get a bit more interesting and more interesting to the point of view and see what the other person has to do to the other person or the person you are in

I need help with question 8

Answers

Answer:

the answer is B!

Step-by-step explanation:

because :

Jerry has = 150$

he "*DEPOSITED*" = 50$

(When the word deposit comes, it basically means we need to ADD)

therefore, 150 +50x = 500

(7 weeks) so,

150 + 50 * 7 = 500

see! my answer is correct !

mark me brainliest now pweasee! ;)) ♡♡♡

7. A computer company that recently developed a new software product wanted to estimate the mean time taken to learn how to use this software by people who are somewhat familiar with computers. A random sample of 12 such persons was selected. The following data give the times taken (in hours) by these persons to learn how to use this software. 1.75 2.25 2.4 1.9 1.5 2.75 2.15 2.25 1.8 2.2 3.25 2.6 a. What is the point estimate of the population mean

Answers

Answer:

What company

Step-by-step explanation:

expression equivalent to (4x+3)+(-2x+4) is

Answers

Answer:

7x + 2x

Step-by-step explanation:

9x^2

Answer: 2x+7

Step-by-step explanation:

Since I am going to assume that you want me to simplify this expression, thats what I'm going to do.

1. Distribute the +1: 4x+3-2x+4

2. Combine like terms: 2x+7

Have a nice day! :D

Find the value of x for the quadrilateral with exterior angles of 6x+12, 15x-5, 10x+13, and 12x-4.

answers
90
360
3.81
8​

Answers

The answer for the question would’ve been 90

Find the area of this shape pleaseeeeee

Answers

Answer:

22 meters squared

Split the figure into a 2*9 rectangle and 2*4 triangle

pls and this question​

Answers

Answer:

-4

Step-by-step explanation:

that number cannot be simplified

Eric has 5 packages of pencils.Each package has p number of pencils.Which is the total number of pencils Eric has?
A. p+5
B.p-5
C. 5p
D.p/5​

Answers

Answer: C

Step-by-step explanation:

2. Find to the nearest foot the height of a vertical post if its shadow is 18 feet long when
the angle of elevation of the sun is 38º.

Answers

It’s 16.8 foot or sum like that

Can some one help me with this ?

Answers

Answer:

x= 91°

Step-by-step explanation:

Sum of all angles in a triangle is 180°

So 180 - 44 - 45 = 91

x = 91

If x = 4 units, y = 12 units, and h = 9 units, find the area of the parallelogram shown above using decomposition.
A.
36 square units
B.
108 square units
C.
144 square units
D.
72 square units

Answers

Answer:

C. 144 square units

Step-by-step explanation:

Please look at the photo I've drawn for reference, it should be self explanitory, but please ask if you need more help! Cheers!

Answer:

C.144 square units

Step-by-step explanation:

Can someone help me please

Answers

9514 1404 393

Answer:

  {Segments, Geometric mean}

  {PS and QS, RS}

  {PS and PQ, PR}

  {PQ and QS, QR}

Step-by-step explanation:

The three geometric mean relationships are derived from the similarity of the triangles the similarity proportions can be written 3 ways, each giving rise to one of the geometric mean relations.

  short leg : long leg = SP/RS = RS/SQ   ⇒   RS² = SP·SQ

  short leg : hypotenuse = RP/PQ = PS/RP   ⇒   RP² = PS·PQ

  long leg : hypotenuse = RQ/QP = QS/RQ   ⇒   RQ² = QS·QP

I find it easier to remember when I think of it as the segment from R is equal to the geometric mean of the two segments the other end is connected to.

__

  segments PS and QS, gm RS

  segments PS and PQ, gm PR

  segments PQ and QS, gm QR

If you receive 25\% off an item costing $22.00, how much money do you save?

Answers

Answer:

5.50

Step-by-step explanation:

They save 5.50

Answer:

$5.50

Step-by-step explanation:

Hello! This is an easy one. If we are trying to find how much she is saving all we would need to do is multiply.

$22.00 * 25% = $5.50

If we are trying to find out the total with the discount all we would need to do is subtract.

22 - 5.5 = $16.50

Hope this helps!!

Select the correct answer. The graph of the rational function f is shown. Which graph is the graph of g(x)=-f(x)?

Answers

Answer:

see picture

Step-by-step explanation:

A furniture salesman makes 3.5% commission. Her monthly sales are $18,545. Her annual salary is $18,995.80. What’s her monthly pay? Write just the value that represents your answer.

Answers

Using proportions, it is found that her monthly salary is of $1,528.9.

What is a proportion?

A proportion is a fraction of total amount.

In this problem, her monthly sales are $18,545, with a commission of 3.5%, hence, in commission, the amount she makes is:

0.035 x 18545 = 649.075

Her annual salary is $18,995.80, of which 18995.80 - 649 = $18,346.8 she receives in 12 payments, hence:

18,346.8/12 = $1,528.9.

Her monthly salary is of $1,528.9.

You can learn more about proportions at https://brainly.com/question/24372153

Yi Min owns a small store. The first month the store was
open, she made $1,375 in profit. During the next month, she
advertised in the local newspaper and saw a 60% increase
in profit. How much profit did she make the second month?

Answers

Yi Min owns a small store. The first month the store was

open, she made $1,375 in profit. During the next month, she

advertised in the local newspaper and saw a 60% increase

in profit. How much profit did she make the second month?

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

60% = 60/100 = 60 ÷ 100 = 0.6.

100% = 100/100 = 100 ÷ 100 = 1.


g(t)= t^2 + 3
h(t) = 4t – 3
Find (g · h)(-1)

Answers

Answer:

fifty-two. Explanation: g(h(−1 ))=g(x). x=h(−1)=4(−1)−3=−4−3=−7. g(x)= g(−7)=72+3=49+3=52.

find the area of the sector.

image and anwser choices is in the image please helpp i’ll give brainliest

Answers

ans. 11.16 in square
80/360*pi*4square

HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER

Answers

Answer:

What the question ?

The Martins drove the car from 7 a.m. to 4 p.m. and
traveled 468 miles. Their average speed was how many
miles
per
hour?

Answers

Their average speed was 52 miles per hour


!!!!!!! please help!!!!!!

Answers

Answer:

The population is decreasing.

Step-by-step explanation:

As x, time, increases, the y, population, decreases. It too has a negative slope.

Answer:

A

Step-by-step explanation:

HELP HELP HELP ME PLEASE-

Answers

i’m pretty sure it’s b i apologize if it’s not

the answer is C or E lol because it's asking I've you put > in between both of them which one would be wrong if you put > in between them I look over them it would be c or e

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