Solve by completing the square with working out

-6x-x^2-8

Answers

Answer 1

Answer:

x = -3 +/- sqrt(17)

Step-by-step explanation:

-6x - (x^2) - 8 = 0

-((x^2) + 6x + 8) = 0

(x^2) + 6x + 8 = 0

(x + 3)^2 - 1 = 0

(x + 3)^2 = 1

x + 3 = +/- sqrt(1)

x + 3 = +/- 1

x = -3 +/- 1

x = -4, -2


Related Questions

How far did I travel to reach my destination on each day of my three-day Trip?
a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination.
b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination.
c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.

Answers

Answer:

81 miles

Step-by-step explanation:

Day 1

3/8---15 miles

1/8---5 miles

8/8---40 miles

Day 2

3/5---18 miles

1/5---6 miles

5/5---30 miles

Day 3

6/11---6 miles

1/11---1 mile

11/11---11 miles

Total: Day 1 + Day 2 + Day 3

40+30+11=81

Help on this, please

Help on this, please

Answers

Cp akosmw’msoswkqowmw’sm2skz
zzzjonxdnej up oompdj8)h9

HelppppppppppppppppT^T

HelppppppppppppppppT^T

Answers

Answer:

3||7

Step-by-step explanation:

What is the slope of the line passing through the points.
( -1, 3 ) and ( 4, -7 )
On a coordinate plane.

Answers

Answer:

-6 is the slope

Step-by-step explanation:

In order to find the slope you need to do put it in slope intercept form

y2-y1/x2-x1 is slope-intercept  form

(-7 - (-1))/4-3 = (-7 +1)/1 = -6/1 = -6

Answer:

The slope in -2

Step-by-step explanation:

to graph this use the slope-intercept form of y=-2x+1

(Actually answer please<3) Using the vertical line test: Use the vertical line test to determine if the graph is a function or not a function A. Function not a function not enough information given B. Function not a function not enough information given C. Function not a function not enough information given

(Actually answer please&lt;3) Using the vertical line test: Use the vertical line test to determine if

Answers

Answer:

Hey there!

A. Function

B. Function

C. Not a function

The vertical line test says that if you can draw a vertical line with two points or more on the line, then the graph is not a function.

Let me know if this helps :)

A is a function because if you draw a line through it the vertical line only intersects the graph’s line once
B is also a function because the vertical line only intersects the graph’s line once, no matter where you put the vertical line
C is not a function because the vertical lines passes through two points on the line, not one


Solve log x= 3.
x=3
x= 30
x= 1,000
x= 10,000

Answers

Log x = 3 > x=10^3 > x=1000 so the answer is 1000

The value of x must be equal to 1000

What is the logarithmic function?

In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as

For x > 0 , a > 0, and a ≠1,

y= logₐ x if and only if x = a^y

Then the function is given by

f(x) = logₐx

Given here  log x= 3 ⇒x=10³

                                 ⇒x=1000

Hence, The value of x must be equal to 1000

Learn more about the logarithmic function here:

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Which expression is equivalent to:
c - 15c - 10 + 12c-8

A.2c + 18
B.2c-18
C.-2c-18
D.-2c + 18

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

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

At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.


Ketchup Relish Chili
54 36 60


Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042

Answers

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

SHOW WORK

OK PLS HELP ME AND MY FRIEND REALLY NEED IT THE FIRST PERSON THAT ANSEWRS WILL GET BRAINLEST AND I WILL LITTERLY LOVE YOU AND WORSHIP YOU NO JOKE

SHOW WORKOK PLS HELP ME AND MY FRIEND REALLY NEED IT THE FIRST PERSON THAT ANSEWRS WILL GET BRAINLEST

Answers

Answer:

b=-3

Step-by-step explanation:

9+3=-4b

12=-4b

b=12/-4

b=-3

9=-3-4b
+3 to both sides
12=-4b
b=-3

jus make sure yo answer correct because this is a assesment

jus make sure yo answer correct because this is a assesment

Answers

5

my problem:

im sorry if im wrong

The box below will be used to ship smaller packages. Which package size would fill the box completely?

The box below will be used to ship smaller packages. Which package size would fill the box completely?

Answers

Answer: B

Step-by-step explanation:

650 boxes would fill up the box completely.

A box contains several copies of Mrs. Spencer's new pamphlet. The box weighs 2,000 grams. This chart shows the effect of adding or taking away a pamphlet. Pamphlets Added to the box(x) Effect on the Box's Weight (y) 0 0 1 6 2 12 3 18 Is this an example of continuous or discrete data? discrete continuous

A box contains several copies of Mrs. Spencer's new pamphlet. The box weighs 2,000 grams. This chart

Answers

Answer:

This example represents discrete data.

Step-by-step explanation:

Discrete data refers to information that can only take certain specific values. In this case, the number of pamphlets added to the box (x) can only take on integer values such as 0, 1, 2, 3. Similarly, the effect on the box's weight (y) is also given as specific values: 0, 6, 12, 18.

In contrast, continuous data would involve measurements that can take any value within a range, such as height, weight, or temperature.

Since the number of pamphlets added and the corresponding effect on the box's weight are presented as specific, separate values, the data in this example is considered discrete.

This is an example of discrete data

A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY

Answers

Answer:

192 hours per day / 8 hours per person per day = 24 people

Step-by-step explanation:

Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:

720 person-days x 8 hours = 5,760 hours

To complete the project in 30 days, the total number of hours needed per day is:

5,760 hours / 30 days = 192 hours per day

It’s 24!! EXPLAIN-720/30=24 because you have to divide the amount of people by days p/d= e

ANSWER THIS CORRECTLY TO BE BRAINLIEST

ANSWER THIS CORRECTLY TO BE BRAINLIEST

Answers

Answer:

Q6. -5/2

Q7. -7/24

Q8.  127/24

Q9. 151/12

Step-by-step explanation:

Q6. (−3/4)+(−7/4) = -3-7/4 = -10/4 = -5/2

Q7. 3/8 - 2/3 = 3*3/8*3 - 2*8/3*8 = 9/24 - 16/24 = 9-16/24 = -7/24

Q8. 18+2/3 - 8+3/8 = 20/3 - 11/8 = 20*8/3*8 - 11*3/8*3 = 160-33/24 = 127/24

Q9. 12+1/4 + 27+1/3 = 13/4 + 28/3 = 13*3/12 + 28*4/12 = 39 + 112/12 = 151/12

8 : 5 7/24
9 : 32 1/3

Which list orders the numbers from least to greatest?

Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth

A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3

Answers

Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth


Hope my answer helps you✌️

Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5 is the list that orders the numbers from least to greatest.

Please answer all of them and I will give brainlest

Please answer all of them and I will give brainlest

Answers

1) m=2 b=6, y=2x+6, proportional, positive

2) m=2 b=10, y=2x+10, non, positive

3)m=44 b=48, y=44x+49, non, negative

I can't do the last one

Answer this Please (I WILL GIVE BRAINLIEST)

Answer this Please (I WILL GIVE BRAINLIEST)

Answers

Answer:

6/25

Step-by-step explanation:

Given:

Total spin - 75 times

Experiment Table:

Outcome to Frequency

1 - 20

2 - 25

3 - 18

4 - 12

To Find:

What is the relative frequency for the event "Spin a 3"?

Solve:

Since, from the given experiment table we can see that:

Spin a 3 frequency is 18

And the total spin is 75 times

Thus we get:

18/75

Then we simplify

6/25

Hence, relative frequency for event "Spin a 3" is 6/25

Decimal form : 0.24

Kavinsky

Hi! Can someone help me with the find the distance between two points. Thank you!

Hi! Can someone help me with the find the distance between two points. Thank you!

Answers

Answer:

20

Step-by-step explanation:

Using the distance formula

Answer: all you got to do is count all the space and you well get  close to the -10 to be 6 -7

Step-by-step explanation:

A group of 3 explorers travelled through the new Guinea rain forests with 3 Marind-Anim guides. Their inflatable dinghy could only take 2 people at a time and only one of the explorers and one guide could successfully operate it. Once the explorers realised that the Marind-Anim were renowned head hunters they were not willing to ever be outnumbered by them. In spite of these difficulties they worked out a way to negotiate each river. What is the smallest number of crossings needed to get the party safely across a river?

Answers

Answer:

Hello,

Step-by-step explanation:

Let's assume A,B,C the 3 explorers and X,Y,Z the 3 guides.

Only A and X can operate the boat.

\(\begin{array}{|c|c|c|}border\ 1 &boat&border\ 2\\ABCXYZ&-&-\\BCYZ&AX&-\\BCYZ&A&X\\BCY&AZ&X\\BCY&A&XZ\\CY&AB&XZ\\CY&X&ABZ\\Y&CX&ABZ\\Y&X&ABCZ\\-&XY&ABCZ\\-&-&ABCXYZ\\\end{array}\)

I hope you will understand the travels

The smallest number of crossings needed to get the party safely across a river is 5.

To get the group of 3 explorers and 3 Marind-Anim guides safely across the river while ensuring that the explorers are never outnumbered by the guides, follow the following strategy:

Firstly, two of the 3 explorers cross the river together. One explorer (say, A1) comes back, leaving the other explorer (say, A2) on the other side.Then, one of the guides (say, B1) crosses the river with A2. A2 stays on the other side, and B1 comes back.Then, the two guides (B2 and B3) that are left cross the river together. One of the guides (B2) comes back, leaving one guide (B3) on the other side.A1 crosses the river again with B3, and B3 stays on the other side.At last, A2 crosses the river again, along with A1 and the two guides on the other side.

That's how all three explorers and three guides can cross the river safely, and at no point during the crossings were the explorers outnumbered by the guides.

Thus, 5 is the minimum number of crossings needed to get the party safely across a river.

Learn more about Numbers here:

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Solving Problems with Ratios Henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade of orange. If he uses 9 pints of yellow paint and wants the same orange color, how many pints of paint will he need altogether? Explain how you know.

Answers

Answer:

hope this helps ¯\_(ツ)_/¯

Step-by-step explanation:

Henry must use 6 pints of red paint if he uses 9 pints of yellow paint.

This is true since the original ratio was 2:3 (red paint to yellow paint)

You would just need to multiply by 3 to get 6:9.

You can also re-check this by dividing by three to get 2:3 again.

This means that 2:3 and 6:9 are equivalent ratios

Brainliest is appreciated

Henry needs to use 6 pints of red paint if he's using 9 pints of yellow paint, becuase if we multiply the ratio 2:3 by 3x we get 6:9, and altogether without the ratio, he'll have to use 6+9=15 pints of paint to get the specific shade of orange..............Hope u understand, I'm also bad at maths T-T

A rhombus has sides 10 cm long and an angle of 60°. Find the diagonals of the rhombus.

Answers

Since all the sides are equal, the altitude is

10 sin60° = 5√3

To see this, draw the rhombus ABCD and drop an altitude from D to AB. Now you have a right triangle with hypotenuse=10 and base angle=60°

What is the angle made by the hour hand and the minute of the clock at 8:57

Answers

Answer:

85 degrees

Step-by-step explanation:

The answer to that is 87,5 degrees

WILL MARK BRAINIELST Elsie took out a 2-year loan to buy a car at a 6% simple interest rate. If she paid $2200 for the car, how much will Elsie pay in interest?

Answers

Answer:

$2464

Step-by-step explanation:

2200*0.06*2=264 of interest and total of $2464

Answer:

$2464

Step-by-step explanation:

i have to do a discussion pls help

i have to do a discussion pls help

Answers

Answer:

Hey give me you intro.

I am new in brainly.

A rectangle has a lengt that is half its width.Which expression represents the perimeter of the rectangle if w represents the width?
A) w+1/2w
B) 2w + 1/2
C) 1/2w+w+w
D) w+1/2w+w+1/2w

Answers

Answer:D

Step-by-step explanation:

I thinks it’s D to be the answer

What is the unit cost for Brand A that cost $3.84 for 16 oz?
$0.25/oz
$0.24/oz
$0.33/oz

Answers

Answer: $0.24

All you do is divide $3.84 by 16
I used a calculator for the math equation but that’s all you do
The answer is 24 Because I divided by 3.84 you divide 16 and you’ll get 24

What were three things you learned regarding French and Dutch Colonization?
I suck at social studies T-T

What were three things you learned regarding French and Dutch Colonization?I suck at social studies T-T

Answers

Just practice and you will get better at it

Answer:

The original intent of Dutch colonization was to find a path to Asia through North America, but after finding the fur trade profitable.

The French began their exploration of the New World by looking for new fishing waters and the Northwest Passage

Many of the Dutch immigrated to America to escape religious persecution

the Dutch generally followed a policy of live and let live: they did not force assimilation or religious conversion on the Indians

Besides expanding the fur trade, the French wanted to find a river passage across North America (for a trade route to Asia

Some French missionaries eventually made their way to North America in order to convert Native Americans to Catholicism.

PLease solve it as fast has you can

PLease solve it as fast has you can

Answers

Answer:

\(f^{-1}\left(f(576)\right)=\boxed{576}\)

\(f^{-1}(-7)+f(-7)=\boxed{13}\)

Step-by-step explanation:

The inverse of an invertible function with the domain of all real numbers is obtained by reflecting the original function across the line y = x, which swaps the input and output values of the function. Therefore, (x, y) → (y, x).

Given table:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&-7&11&-13&6&5&-9\\\cline{1-7}\vphantom{\dfrac12}f(x)&7&12&8&-7&13&5\end{array}\)

Inverse function:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&7&12&8&-7&13&5\\\cline{1-7}\vphantom{\dfrac12}f^{-1}(x)&-7&11&-13&6&5&-9\end{array}\)

If we have a function f(x), the inverse function is denoted as f⁻¹(x), and it has the property that f⁻¹(f(x)) = x for all valid inputs x in the domain of f(x).

Therefore:

\(\large\boxed{f^{-1}\left(f(576)\right)=576}\)

The value of f(-7) is the value of f(x) when x = -7. Therefore, reading from the original table, f(-7) = 7.

The value of f⁻¹(-7) is the value of f⁻¹(x) when x = -7. Therefore, reading from the inverse function table, f⁻¹(-7) = 6.

Therefore:

\(\large\boxed{\begin{aligned}f^{-1}(-7)+f(-7)&=6+7\\&=13\end{aligned}}\)

The first time you have a problem is if you’re going through something and you’re trying something new you need a break and then you’re not doing anything to it so I think you’re going through a really hard situation right and then you’re just going to have a bad day so you don’t get it

How do I multiply 110.2 times 17.7

Answers

Answer:

1950.54

Step-by-step explanation:

1950.54

1. We assume, that the number 110.2 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 110.2 is 100%, so we can write it down as 110.2=100%.
4. We know, that x is 17.7% of the output value, so we can write it down as x=17.7%.
5. Now we have two simple equations:
1) 110.2=100%
2) x=17.7%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
110.2/x=100%/17.7%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 17.7% of 110.2

110.2/x=100/17.7
(110.2/x)*x=(100/17.7)*x - we multiply both sides of the equation by x
110.2=5.64971751412*x - we divide both sides of the equation by (5.64971751412) to get x
110.2/5.64971751412=x
19.5054=x
x=19.5054

now we have:
17.7% of 110.2=19.5054

How to find the altitude of an equilateral triangle if the side of length is given?

Answers

Answer:

Step-by-step explanation:

The main application use of altitude is that it is used for area calculation of the triangle, i.e. area of a triangle is (½ base × height). ...

For an obtuse-angled triangle, the altitude is outside the triangle. ...

Therefore, the Altitude (Height) of an equilateral triangle = h = (√3/2) × s.

The main application use of altitude is that it is used for area calculation of the triangle, i.e. area of a triangle is (½ base × height). ...
For an obtuse-angled triangle, the altitude is outside the triangle. ...
Therefore, the Altitude (Height) of an equilateral triangle = h = (√3/2) × s.
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