Solve x2 + 8x – 3 = 0 using the completing-the-square method.
A.x = 4+ 13
B.X= 4+13
C.x= 4+19
D.X=4 + √19

Answers

Answer 1

[tex]x = -4 \pm \sqrt{19}[/tex]

Step-by-step explanation:

Let us put 3 on the right side and rewrite the equation as

[tex]x^2 + 8x = 3[/tex]

By putting 16 on both sides, our equation becomes

[tex]x^2 + 8x + 16 = 3 + 16 = 19[/tex]

[tex]\Rightarrow (x + 4)^2 = 19[/tex]

Taking the square root of the equation, we get

[tex]x + 4 = \pm \sqrt{19}[/tex]

Finally, solving for x,

[tex]x = -4 \pm \sqrt{19}[/tex]


Related Questions

5x²-11x +6 . factories the expression

Answers

Answer:

5

x

2

11

(

x

)

+

6

Step-by-step explanation:

[tex]5x^2-11x+6\\\\=5x^2-5x-6x+6\\\\=5x(x-1) - 6(x-1)\\\\=(x-1)(5x-6)[/tex]

which holds the more capacity 0.75 litres or 350ml

Answers

Answer:

0.75 liters

Step-by-step explanation:

1000ml in 1 liter so 0.75*1000=750ml

750ml > 350ml

Please answer this question IT IS NOT AVTEST DONT TRY TO DELETE IT.

Answers

The answer is A: 12(-.4x+1)

Find the median of the numbers in the following list. 26, 13, 39, 22, 42,39, 18, 21, 32,14​

Answers

Answer: 24

Explanation: Put them in order from lowest to greatest

13,14,18,21,22,26,32,39,39,42

Find the two middle numbers and add them then divide by 2.

22+26=48
48/2=24

Answer:

24

Step-by-step explanation:

13,14,18,21,22,26,32,39,39,42

middle is 22 and 26

therefore you add and divide by 2

then you'll get 24

The aquarium has 3 more yellow fish than green fish. 60% of the fish are yellow. How many green fish are in the aquarium?

Answers

There are 6 green fish

The question in the picture​

Answers

1/27

Explanation:

You would multiply to get to the answer.                                                                                    

It’s blurry?…. Better picture

The second side of a triangular deck is 4 feet longer than the shortest​ side, and the third side is 4 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 52 ​feet, what are the lengths of the three​ sides?

Answers

Answer:

13 ft, 17 ft, 22 ft

Step-by-step explanation:

let x be the shortest side, then second side is x + 4 and the third side is

2x - 4

sum the 3 sides and equate to 52

x + x + 4 + 2x - 4 = 52 , simplify

4x = 52 ( divide both sides by 4 )

x = 13

x + 4 = 13 + 4 = 17

2x - 4 = 2(13) - 4 = 26 - 4 = 22

lengths of 3 sides are 13 ft, 17 ft and 22 ft

a pupil who scored 60 in her maths exam was absent and missed English exam use the line of best fit to predict what her English mark could be ​

Answers

Answer:

It's 48.

Hope that helped? Also, if you need anymore answers feel free to ask me as I had that assignment on Mathswatch.

Step-by-step explanation:

Answer:

i think it's 48 if i'm wrong i'm sorry

WILL GIVE BRAINLIEST

Answers

Answer:

it is d

Step-by-step explanation:

Plz help me i will give u 50pts^_^ and brainliest<3

Answers

Answer:

y/x^2=-2x+3

Step-by-step explanation:

For the trig function f(0)=sin(0) whats the input variable
For the trig function g(0)=cos(0) whats the input variable

Answers

For the function f(0)=sin(0), 0 is the input variable while f(0) is the output.

For the function g(0)=cos(0), 0 is the input variable while g(0) is the output.

The standard form of representing trigonometry functions is f(x) = sinx or f(x) = cos x

From the functions:

x is the input variable (also known as the domain)y is the output variable also known as the range;

Given the trig function f(0)=sin(0), compared with the general equation, we can see that 0 is the input variable while f(0) is the output.

Similarly for the function g(0)=cos(0), 0 is the input variable while g(0) is the output.

Learn more on input variables here: https://brainly.com/question/11451813

If 3(x − 2) = −7, then x =?

Answers

Answer:

-5 2/3

Step-by-step explanation:

is 3(x-2) = -7 then it's same as 3x-6=-7

We simplify this by adding 6 and subtracting 6.

Our result is

3x=-17

-17/3=-5 2/3

11. Given a matrix A, what is A^1?
A=[0 12 0 1]

Answers

[tex]\text{Since det(A) = 0, the inverse of the matrix does not exist.}[/tex]

Indira was measuring the length of her school's hallway. The first part of the hallway
was 132 inches long. The next part was 3 yards long. How long is the hallway in
feet?

Answers

Answer:

132 in /12 in/ft + 3 yd(3ft/yd) = 11 + 9 = 20 ft

Step-by-step explanation:

Answer:

20 ft

Step-by-step explanation:

12 inches = 1 foot

12 : 1 = 132 : y

[tex]\frac{132:y}{12:1}[/tex]

12 × y = 132 × 1

12y = 132

12y ÷ 12 = 132 ÷ 12

y = 11

11 ft

1 yard = 3 feet

1 : 3 = 3 : y

[tex]\frac{1:3}{3:y}[/tex]

1 × y = 3 × 3

1y = 9

y = 9

9 ft

11 ft + 9ft = 20 ft

The variables x and y vary directly. Given the model y = -2x , find the value of x when
y = -16.
a. 8
32
b. 16
d. 64
C.

Answers

The answer is A. 8

Hope this helped

Answer:

a.8

Step-by-step explanation:

y=-16

-16=-2x

16=2x

x=16/2=8

If 3(x - 2) = 6, then x

Answers

Answer:

8

Step-by-step explanation:

3(x - 2) = 6

3x - 6 = 6

x - 6 = 2

x = 8

hope it helps :)

mark brainliest!!

Solve system of equations y=3/4x+2 5x+4y=-24

Answers

Answer:

[tex]\left \{ {{y=-1} \atop {x=-4}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{y=\frac{3}{4} x+2} \atop {5x+4y=-24}} \right. <=> \left \{ {{y=\frac{3}{4}x+2 } \atop {5x+4*(\frac{3}{4}x+2)=-24 }} \right. <=>\left \{ {{y=\frac{3}{4}x+2 } \atop {5x+3x+8=-24}} \right. <=> \left \{ {{y=\frac{3}{4}x+2 } \atop {8x=-32}} \right. \\<=>\left \{ {{y=\frac{3}{4}x+2 } \atop {x=-4}} \right. <=> \left \{ {{y=\frac{3}{4}*(-4)+2 } \atop {x=-4}} \right. <=> \left \{ {{y=-3+2} \atop {x=-4}} \right. =>\left \{ {{y=-1} \atop {x=-4}} \right.[/tex]

Which choice is equivalent to the product below?
14.6
O A. 125
B. 6-28
C. 2-21
D. 28

Answers

Answer:

2√21

Step-by-step explanation:

1) Simplify.

√84

2) Simplify √84 to 2√21.

2√21

Please due today by 10:00

Answers

what do you need help with?
C. [tex] \frac{6}{5} = 1 \ \frac{1}{5} \: or \: 1 \ \frac{3}{3} \\ [/tex]d.[tex]1 \ \frac{1}{4} = \frac{5}{4} \\ [/tex]

Can someone solve this, please?
AND FAST

Answers

Answer: 40

Step-by-step explanation: yes make me brainlist (its the crown)

how to fix my calculator please help meee i cuold not fix it plsss what to do​

Answers

so, you must have some kind of device for you to make a question on brainly. if you are using your phone, there is probably an already installed calculater app on there. if you don't have one, go to app store or play store and download it. if you are using computer, simply search it. of course, you can also use your phone and just search it on the web.

Answer:

by a new one?????

Step-by-step explanation:

If I have a 93.3 in my class and I took a test, got 75% on it (the test is worth 20 points) what would my grade be? I need help ASAP!!!!

Answers

Answer:

it will be an 91 or 88

Step-by-step explanation:

a ratio of two measurements having different units of measure IS ONE
STEP EQUATION
true
false

Answers

The statement that a ratio of two measurements having different units of measure IS ONE is false

Ratios are used to relate measurements of different quantities.

The measures of the quantities may or may not be one (1).

When the second quantity has a measure of one, then the ratio is called a unit rate.

So, the quantities may be one, but it is not a requirement that the measure of one or both quantities be one.

Hence, the statement is false

Read more about ratios at:

https://brainly.com/question/14341008

ALOT OF POINTS FOR THIS ONE

Admission to the state fair is $12, and each ride ticket costs $3.50. Write an
expression to represent the situation and explain what the variable means.

3.50t + 12 where t represents the number of ride tickets
3.50a + 12 where a represents the cost of admission
12a + 3.50 where a represents the cost of admission
12t + 3.50 where t represents the number of ride tickets

Answers

Answer:

Step-by-step explanation:

12a + 3.50t x 6rides

Find the missing value. ​

Answers

Answer:

It would be +3

Step-by-step explanation:

When you add -8 plus a positive 3 that would be a negative -3

Answer:

-5=-8--3

= -3 Start at -8 go down untill u reach -5 then count how many u went down

Geometric Applications: For the next three questions, use the information below:
A rectangle has a side with a length of 8ft and a width of (2x+4)ft.
Label the rectangle
15 pts
a) Find the perimeter of the Rectangle:
b) Find the area of the rectangle:
c) If the total Area is 80 square feet, find the width in feet.

Answers

Answer:

a)Perimeter= 2(8+2x+4)

=(24+4x)ft

b)Area= 8(2x+4)

=(16x+32)square ft

c)16x+32=80

x=3

width= 2x+4 = 2(3)+4 =10ft

In trapezoid DEFG, EG = 24.3 and DH = 9.4. Identify HF.

Answers

Answer:

HF = 14.9

Step-by-step explanation:

Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben's apple pies is ____. (5 points)

Question 1 options:

1)



2)



3)

3

4)

4

Answers

Answer:

4 Trust me

Step-by-step explanation:

please help for brainliest!!!!

Answers

Answer:

d)

[tex] {i}^{740} [/tex]

Step-by-step explanation:

i¹= i

i²= -1

i³= -i

i⁴= 1

i¹²⁴= i^(124 +0)

i^124 . i^0

i^(4×31) . i^0 = 1³¹. i^0

1.i^0= i^0

= 1

a) i^179= i^(176+3)

i^176 . i³ = i^(4×44) . i³

1⁴⁴. i³ = 1. i³

= -i

b) i^582 = i^(580 + 2)

i^580 . i²= i^(4×145) . i²

1^145 . i²= 1.i²

= -1

c) i^165= i^(164+1)

i^164 . i¹ = i^(4×41) . i¹

1⁴¹ . i¹ = 1.i

= i

d) i^740= i^(740+0)

i^740 . i^0 = i^(4×185) . i^0

1^185 . i^0 = 1. i^0

= 1

i¹²⁴= i^740 = 1

Factorise fully 2x2 – 8x

Answers

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

Answer:

2x ( x - 4)

Hope that helps?

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