Select the correct answer.
Solve the equation using the method of completing the square.
2x^2 + 163 - 8 = 0

Select The Correct Answer.Solve The Equation Using The Method Of Completing The Square.2x^2 + 163 - 8

Answers

Answer 1

Answer:

D

Step-by-step explanation:

[tex]2x^2+16x-8=0[/tex]

Simplify:

[tex]x^2+8x=4[/tex]

Rewrite in the form [tex](x+a)^2=b[/tex]:

[tex]x^2+8x=4[/tex]

Add [tex]4^2[/tex] to both sides:

[tex]x^2+8x+4^2=4+4^2[/tex]

[tex]x^2+8x+4^2=20[/tex]

[tex]\left(x+4\right)^2=20[/tex]

[tex]x+4=\sqrt{20}[/tex] or [tex]x+4=-\sqrt{20}[/tex]

x = -4±[tex]\sqrt{20}[/tex]

x= -4±[tex]2\sqrt{5}[/tex]


Related Questions

You estimate that there are 60 marbles in a jar.The actual amount is 54 marbles. Find the percent error.Round to the nearest tenth of a percent if necessary

Answers

Answer:

the percent error is 10%

Step-by-step explanation:

Given that

The estimate value of the marbles is 60

And, the actual amount is 54 marbles

We need to find out the percent error

As we know that

Percent error = (Estimated - actual)  ÷ (Estimated) × 100

= (60 - 54) ÷ 60 × 100

= 10%

Hence, the percent error is 10%

We simply applied the above formula

What is the answer?

Answers

I need this answer too , can someone please help us !

pleaseeeeeeeeeee help me ​

Answers

the answer would be C

PLS HELP ASAP WILL GIVE BRAINLEAST!!!!!!!!

Answers

Answer:

It's B

Step-by-step explanation:

what is the length of the diameter of the circle defined by the equation

(x - 5)^2 + (y + 4)^2 = 144​

Answers

Answer: the answer is  

(

x

5

)

2

+

(

y

+

4

)

2

=

144

.

Center:

(

5

,

4

)

Radius:

12

Step-by-step explanation: you have to do a graph to get your answer

the diameter is 24 :)

Took a pic for better quality ​

Answers

A seems like the most plausible answer

Machine machine with 140 gallon capacity needs to be filled with water/glycol mixture. Someone has already pump 50 gallons of 60% glycol blend into the machine. How much more glycol must you add an order to get a 50% concentration?

Answers

Answer:

40 gal

Step-by-step explanation:

The capacity of the machine is 140 gallons, and it must be filled.

In a 50% glycol solution, the amount of glycol in 140 gallons of solution is

50% * 140 gallons = 70 gallons.

Once the machine is full with 140 gallons of 50% glycol solution, it will have 70 gallons of glycol.

The machine now has 50 gallons of 60% glycol solution.

60% * 50 gallons = 30 gallons

The machine has now 30 gallons of glycol.

70 gal - 30 gal = 40 gal

You must add another 40 gallons of glycol.

There is a hot market at school for used graduation gowns, in fact the price is growing exponentially! Last week I could have gotten one for $25, but today, one week later, the price is $37.50. What would the price be if I decide to wait to buy my graduation gown at graduation, six weeks from now?

Answers

Answer:

$100

Step-by-step explanation:

the equation to solve this is:

[tex]y=12.5x+25[/tex]

[tex]y=12.5x+25\\ =(12.5*6)+25\\ =75+25\\ =100[/tex]

(Assuming, of course, that this is a homework assignment and not you actually buying it cuz' in real life the numbers would be different from month to month)

Arrow 1 is rotated by 45° , 90° , 180° respectively as shown below , Based on this we can say – “Any object when rotated by _____, will look exactly the same

Answers

Any object when rotated by 360°, will look exactly the same

The area of a rectangle is found by using the formula A=l×w
, where A
is the area, l
is the length, and w
is the width. A rectangular desk top has an area of 18
square feet. The length of the desk is 6
feet. What is the width of the desk? Write and solve an equation.

Answers

Answer:

The width of the desk is 3

Step-by-step explanation:

plug in what you already have and solve.

A= l x w

18=6x w

when you solve for w you get 3

Tammy opened a credit card with a 19% simple interest rate to purchase a $879 laptop. If she pays off the laptop in 18 months, how much will she have paid in total?

Answers

Answer:

$1146.216

Step-by-step explanation:

Given data

Principal= $879

Rate= 19%

Time = 18months= 1.6 years

The expression for the simple interest is

A=P(1+rt)

substitute

A=879(1+0.19*1.6)

A= 897(1+0.304)

A= 879*(1.304)

A= $1146.216

Hence the amount to be paid is $1146.216

2(3v + 4) + 5(2v − 3) =

Answers

Answer:16v-7

Step-by-step explanation: Simpley the expression

Jada earns $7 per hour mowing her neighbors’ lawns. Identify the independent variable in this situation, and write the letter that you would like to use to represent it.
And Identify the dependent variable and write the letter that you would like to use to represent it.

Answers

The independent variable would be how many lawns I mow
You could use any letter to represent it but I would use l for lawn

The dependent variable would be the amount I earn, $7,
Again you could use any letter to represent it but I would use d for dollar

In the figure below,
¯¯¯¯¯¯¯¯¯
A
D
is perpendicular to
¯¯¯¯¯¯¯¯¯¯
B
D

,
¯¯¯¯¯¯¯¯
A
C
is perpendicular to
¯¯¯¯¯¯¯¯
B
C
and
¯¯¯¯¯¯¯¯¯
A
D

¯¯¯¯¯¯¯¯
B
C
. Which of the following congruences is NOT necessarily true?




¯¯¯¯¯¯¯¯
A
C




¯¯¯¯¯¯¯¯¯
B
D
¯¯¯¯¯¯¯¯
A
C




¯¯¯¯¯¯¯¯¯
B
D

¯¯¯¯¯¯¯¯¯
A
D

¯¯¯¯¯¯¯¯
A
E
line segment cap A cap d is congruent to line segment cap A cap e

¯¯¯¯¯¯¯¯
A
E



¯¯¯¯¯¯¯¯
B
E
¯¯¯¯¯¯¯¯
A
E



¯¯¯¯¯¯¯¯
B
E



D
A
B





C
B
A


D
A
B





C
B
A



E
A
B





E
B
A


E
A
B





E
B
A

Answers

Answer:

b

Step-by-step explanation:

whoever answers first gets brainliest and 5-star thanks

Answers

Answer:

8/21

Step-by-step explanation:

Area of a rectangle is L*W so for only the shaded bits of the rectangle the length (1/7*4) would be 4/7 and the width would be (1/3*2) so 2/3. then you would multiply them togehter by finding multiplying the bottoms togther  and the tops together (4*2)/(7*3) this gives 8/21. Hope this helps!!

HELP ASAP
What is the 10th term in the geometric sequence below?


−4, 12, −36, 108, ...


a)-236196


b)-78732


c)236196


d) 78732

Answers

Answer:

78732

Step-by-step explanation:

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

Yes.

Step-by-step explanation:

Yes.   Because opposite angles are congruent.

Answer:

yes

Step-by-step explanation:

because opposite angles are congruent

36 into the ratio 5:4

Answers

Answer:

5/4 divided by 36?

= 5/144

Answer:

let ratios be (x)

5x+4x=36

9x=36

9x=36

x=4

Step-by-step explanation:

Can one of y’all help me with this pls

Answers

Answer:

d. 42

Step-by-step explanation:

PEDMAS

We do brackets first, so:

4 + 4 = 8

Then multiplication,

5 x 8 = 40

Then addition

40 + 2 = 42

The answer isD5x(4+4)+2

4+4=8

5(8)+2

5x8=40

40+2= 42

y = -5 + 6 -----------

Answers

Answer:

y = -5 + 6=1 is your answer

y_=-5 +6=1 is your answer

What is the volume of the soccer ball? Enter your answer in terms of TT and round to the nearest cubic centimeter.
11 cm
7 cm

Answers

Answer:

5575.28 cm

Step-by-step explanation:

The formula for volume of a sphere is  4/3 time (pie) time r and if your is 11 this should be right.

The product of sin 30° and sin 60° is same as?

Answers

Answer:

The product of sin 30 and sin 60 is same as the product of cos 60 degrees tan 30 degrees and cos 30 degrees tan 60 degrees.

what's the answer ?


[tex] \sqrt{72 \times 2} [/tex]

Answers

Answer:

[tex] \sqrt{72 \times 2} [/tex]=[tex] \sqrt{12²} [/tex]=±12 is your answer

can someone help me with this? it’s linear regression and i forgot how to do it

Answers

I'll do problem 1 to get you started. The completed filled out table is shown below in the attached image.

We have x as the input and y as the output. The observed value is the second column, and this is the actual y value we're aiming for. The predicted value is an estimation based on what the linear regression line says. The residual is the error or gap between the observed and predicted.

With that in mind, let's fill out the table. In the first row, we have x = 5 pair up with y = 3. The predicted y value is y = 0.5x = 0.5*5 = 2.5, meaning we'll write "2.5" without quotes in the first blank space of that first row. The residual is

e = error or residual

e = (observed y value) - (predicted y value)

e = (3) - (2.5)

e = 0.5

A positive residual means that the observed y value is larger than the predicted one. The predicted y value is an under-estimate. We'll write "0.5" without quotes underneath "residual" in the first row.

-------------------

We'll repeat the same steps for row 2

This time we have x = 10 lead to a predicted y value of y = 0.5*x = 0.5*10 = 5

The residual is

e = (observed) - (predicted) = (4) - (5) = -1

The negative residual tells us the observed value is smaller than the predicted one. The predicted value is an over-estimate.

--------------------

For row 3, we have the input x = 15 lead to a predicted y value of y = 7.5 since y = 0.5*x = 0.5*15 = 7.5

The residual is therefore: e = (observed y) - (predicted y) = (9) - (7.5) = 1.5

The nice thing about how this table is set up, is that the observed y values are listed first, then the predicted y values next. This may help you remember how the order of subtraction will go.

The steps for rows 4 through 6 are the same as mentioned earlier, so there's nothing new here.

The completed table for problem 1 is shown below in the attached image.

NEED ASNSWER ASAP. The ratio of sugar to flour in a brownie recipe is 8:5. Kimo used 15 ounces of flour. How many ounces of sugar did Kimo use?

Answers

Answer:

5

Step-by-step explanation:

[tex]8:5=15:x\\8*x=15\\(8*x)/8=15/8\\x=1.875\\\\\frac{8}{5} *1.875=\frac{15}{x} \\\frac{8}{5} *1.875=3\\3=\frac{15}{x}\\x=5[/tex]

HELP I WILL GIVE BRAINIEST

Answers

Answer:

3. 37

4. 59

5. 79

Step-by-step explanation:

All the angles of the triangle add up to 180°

3. 180-(31+112) = 37°

4. (4x-18)+(8x+7)+(5x+4) = 180

   17x-7 = 180

17x = 187

x =11

we have found the x now we need to input it to find m∠z

5x+4

=5×11+4

=59°

5. A straight angle is 180° so if the outside angle is 129 the inside one will be 51°

(2x-3)+(x+9)+51 = 180

3x+57 = 180

3x = 123

x = 41

Now we need to find m∠L

2x-3

= 2×41-3

= 79°

A storeowner plans to have his annual "Going Out of Business Sale." If each month has an equal chance of being selected, find the probability that the sale will be in a month that begins with the letter J or A.​

Answers

Answer:

Step-by-step explanation:

How many months begin with J or A ? 5

How many months total? 12

The probability that the sale will be in a month begins with the letter J or A. is 5/12

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

A store owner plans to have his annual "Going Out of Business Sale." If each month has an equal chance of being selected,

The total number of months begins with J or A =  5

The total months =12

The probability that the sale will be in a month begins with the letter J or A.​

= 5/12

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

27 divided by 8 is what

Answers

Answer:

3.37

Step-by-step explanation:

Decimals: 3.375
Fraction: 3 3/8

A bag contains 22 coins consisting of quarters and nickels. The total value of the coins is $3.90. How many nickels are in the bag? *

Answers

Answer:

8 Nickels

Step-by-step explanation:

Since a Nickel is worth 5 cents ($0.05)

And a Quarter is worth 25 ($0.25)

and theres 22 coins

8 of those coins would be nickels which would mean we add 8 nickels up

8 x 0.05 = 0.4

then we add the quarters up

14 x 0.25 = 3.5

3.5 + 0.4 = $3.90

Where Do Aliens Leave Their Spaceships? **I have the answer key image!!**

Answers

Write the ictter of the correct answer in the box containing the exercise number. If the answer has a shade in the box
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