How do I complete the square for 4x^2+ 8x-5= 0?

Answers

Answer 1

Answer:

man I have no idea dude I don't really know squares if you're talking about square root I really don't know

Answer 2

Answer:

x = [tex]\frac{1}{2}[/tex],  -  [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

This is not so fun!

[tex]4x^{2} + 8x - 5 = 0\\[/tex]

Step 1:  Move the 5 to the right side

[tex]4x^{2} +8x = 5[/tex]

Step 2:  Divide thru by 4

[tex]x^{2} + 2x = \frac{5}{4}[/tex]

Step 3:  Divide 2 (from 2x)  by 2 and square the result and add that to both sides of the equation.

2/2 = 1    1 squared = 1

[tex]x^{2} + 2x + 1 = \frac{5}{4} +1 = \frac{9}{4}[/tex]

Step 4:  Factor the left side

[tex](x + 1)^{2} = \frac{9}{4}[/tex]

Step 5:   Take the square root of both sides

x + 1 = ±[tex]\sqrt{\frac{9}{4} }[/tex] =  ± [tex]\frac{3}{2}[/tex]

Step 6:   Move the 1 to the right side and add the results

x = -1 ± [tex]\frac{3}{2}[/tex] = -1 +  [tex]\frac{3}{2}[/tex]   or -1 -  [tex]\frac{3}{2}[/tex]

              = [tex]\frac{1}{2}[/tex]    or   -  [tex]\frac{5}{2}[/tex]

And bingo, you have the solutions by completing the square.  Lot of fun, huh.  


Related Questions

If the scale factor is 5/3 what is the width of the new rectangle?

Answers

Answer:

If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Step-by-step explanation:

We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

HELP
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar.
y= -2x^2 + 105x – 859

Answers

Answer:

519

Step-by-step explanation:

or 519.125

The maximum amount of profit the company can make, to the nearest dollar should be considered as the $519.

Calculation of the maximum amount of profit

Since the amount of profit made expressed as [tex]y=-2x^2+105x-859[/tex]

Now

At maximum profit, dy/dx = 0

So,

dy/dx = -4x + 105

0 = -4x + 105

4x = 105

x = 105/4

x = 26.25

Now

[tex]y=-2x^2+105x-859\\\\y=-2(26.25)^2+105(26.25)-859[/tex]

y = - 1,378.125+2,756.25-859

y = 519.125

Hence the maximum amount of profit the company can make is $519.

Learn more about profit here: https://brainly.com/question/24599492

-6x-8<4 plz help me this is sixty percent of my grade

Answers

Answer:

x>-2

Step-by-step explanation:

Please help!!! Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

17x +x to the second power

Can you please solve this

Answers

Answer: [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]

Step-by-step explanation:

I'll do the fraction on the left, then the one on the right. Follow the screenshots below to help you out.

1. Use distributive property. The first of the images is me distributing all the values on the fraction on the left. Now I will do the ones on the left.

2. I used the same method. Now I will multiply the two.

3. [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]

The meteorologist predicts that tomorrow calls for a 60% chance of rain. What exactly does this mean?

A.
The chance of rain is low

B.
It's going to rain 60 times tomorrow



C.
It's going to rain for 60% of the day

D.
3 out of 5 days with these conditions it has rained

Answers

Its going to be 12 percent since

Rewrite the following using distributive property

1. 24+20
2. 12+16
3. 36+81
4. 49+84
5. 99+36​

Thanks❤

Answers

Answer:

12+16

24+20

36+81

49+84

99+36

WILL MARK BRAINLIEST IF GOTTEN RIGHT

Answers

Answer:

85

Step-by-step explanation:

Dont need to explain it quik mafs

in order to get an A Mark needs to get at least 90% of the 650 points possible in the class. How many points must he earn of the 150-point final if he averaged 92 points on each of the five 100-point test

Answers

Answer:

at least 125 points on the final

Step-by-step explanation:

90% of 650 = 585

He needs at  least 585 points to get at least 90%

Since he averaged 92 on the first 5 tests, he already has 5(92) = 460 pts

That means he needs to get at least 585 - 460 = 125 pts on the final exam

Find the value of x in the triangle.
A right triangle has one angle with a measure of 54 degrees and the other angle measure of x degrees.
A. 126°
B. 234°
C. 36°
D. 144°

Answers

If it’s a right angle, then take 180 and subtract 90 and 54 from it. Whatever number you get it angle x.

Answer:

Agreed, the answer is 36

Step-by-step explanation:

Subtract 180-90=90-54=

36

There's your answer.

A local dump truck is carrying 13.4 tons of gravel. How many pounds is it hauling?

Answers

Answer:

26,800 pounds of gravel

Step-by-step explanation:

13.4 tons is equal to 26,800 pounds

Your checking account balance is $50. You spend $11 and then deposit $27.
What is your current balance?

Answers

Answer:

66$

Step-by-step explanation:

50$-11$+27$

66$

Answer:

$66

Step-by-step explanation:

$50- $11= $39

$39+ $27= $66

PLEASE HELP ME!!!





Determine whether the function rule models discrete or continuous data.
Function # 1: A movie store sells DVDs for $15 each. The function C(d) = 15d relates the total cost of movies to the number purchased d.
Function # 2: A produce stand sells roasted peanuts for $2.99 per pound. The function C(p) = 2.99p relates the total cost of the peanuts to the number of pounds purchased p.


A.) Functions # 1 models discrete data. Function # 2 models continuous data.


B.) Functions # 1 models continuous data. Function # 2 models continuous data.


C.) Functions # 1 models continuous data. Function # 2 models discrete data.


D.) Functions # 1 models discrete data. Function # 2 models discrete data.

Answers

Answer:

the answer is a tell me if this helps!!

Expand and simplify (x-3)(2x+1)(x+1)

Answers

2x³ - 3x² - 8x -3---------------------------

Step-by-step explanation:

(x-3)(2x+1)(x+1)

(2x² - 6x + x - 3)(x+1)

(2x² - 5x - 3) (x+1)

2x³ -5x² -3x + 2x² -5x - 3

2x³ - 3x² - 8x -3

---------------------------FOLLOW ME

Show work, please
32 points!

Answers

Answer:

1.Equivalent

2.Equaivalent

3.Not Equivalent

4.Equivalent

-7-(-4)= helpppppp pleaseeeee

Answers

Answer:

-3

Step-by-step explanation:

-7 + 4 = -3

-3

Have a beautiful day!

Hey.... can anybody help me with a question? If you can change one thing in your community with design, what would it be and how will it work towards racial justice?

A community centre organises a raffle to raise money for charity

There is one prize to be won

Daniel buys 17 raffle tickets.



A total of 280 tickets were sold

What’s the probability that Daniel does not win the prize

Answers

Answer:

263 / 280

Step-by-step explanation:

Given that :

Number of tickets bought = required outcome = 17

Total number of raffle = total possible outcomes = 280

Probability = required outcome / Total possible outcomes

P(winning) = 17 / 280

P(not winning) = 1 - 17/ 280

= 263 / 280

BRAINLESS!!!

-what is the lowest fraction form of 8 boys to 16 girls

- what is the lowest fraction form of 100 blue marbles to 20 red marbles

- what is the lowest fraction form of 24 wins to 50 losses

- what is the lowest fraction form of 4 cups of vinegar to 20 cups of water

Answers

Answer:

1/2

25/5

12/25

1/5

Hope it helps!

Can someone answer my question please

Answers

Answer:

Step-by-step explanation:

Arc length=∅/360×2πr (can't find the symbol of theta, use ∅ instead LOL)

[tex]\frac{\theta }{360}\cdot 2\pi \left(11\right)=16[/tex]

[tex]\frac{\theta }{360}=\frac{16}{22\pi }[/tex]

[tex]\theta \:=\frac{16}{22\pi \:}\cdot 360[/tex]

[tex]{\theta}=83.34[/tex]

Answer:

≈ 1.5 radians

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

Here arc = 16 , then

2πr × [tex]\frac{0}{2\pi }[/tex] = 16 ← cancel the 2π on numerator/denominator

11 ×θ = 16 ( divide both sides by 11 )

θ ≈ 1.5 radians ( to the nearest tenth )

Follooww me on iiii---nnnn---sss--tttt--aa---ggg--rrr--aaa---mmm-
i-n--s-t-a-g-r--a==m
Stewart.lil2-----

Answers

Answer:

ok sure

Step-by-step explanation:

6. How many solutions does the system 2y = 10x - 14 and 5x - y = 7 have? B two C none A one D infinitely many​

Answers

Answer:

D infintely many

Step-by-step explanation:

These equations have the same slope and same y-intercept making them the same exact line/equation


y = 2x - 6
y = - 4x + 3

Answers

Answer: x = 3/2, y = -3

Subtract: (b^2 + 9 ab + 5a ) - ( 3b^2 -25ab + 1)

Answers

Answer:

- 2b^2 + 34ab + 5a - 1

Step-by-step explanation:

here's your solution

=> (b^2 + 9ab + 5a) - (3b^2 - 25ab + 1)

=> b^2 + 9ab + 5a - 3b^2 + 25ab - 1

=> - 2b^2 + 34ab + 5a - 1

hope it helps

5(x-4)+2x=14 help me find the answer x=?

Answers

Exact Form:
x = 34/7

Decimal Form:
x= 4. 857142

Mixed Number Form:
x= 4 6/7

Answer:

x = - 6/7

Step-by-step explanation:

Distribute 5 (x - 4) first --> 5x - 20

Combine like-terms: 5x - 20 + 2x = 14 --> 7x - 20 = 14

Subtract 20 on both sides: 7x = -6

Divide both sides by 7: x = -6/7

Line I is parallel to line m. If the measure of <6 is 75 , what is the measure of <1 ??

Answers

Answer:

∠6=∠2 ( corresponding angles)

∠1+∠2= 180°(Linear Pair)

∠1= 180- 75= 105°

Step-by-step explanation:

Please helppp
A line that passes through the points whose coordinates are (1,1) and (5,7)

is dilated by scale factor of 3 and centered at the origin. The image of the line


a) is perpendicular to the original line

b) is parallel to the original line

c) passes through the origin

d) is the same line

Answers

Answer:

B

Step-by-step explanation:

The image that the line will produce would be:

b). is parallel to the original line.

Given that,

Coordinates = [tex](1,1) and (5,7)[/tex]

Scale factor [tex]= 3[/tex]

As we know,

Slope [tex]= \frac{y_{2} - y_{1} }{{x_{2} - x_{1}} }[/tex]

where;

[tex]y_{2} = 7[/tex]

[tex]y_{1} = 1[/tex]

[tex]x_{2} = 5[/tex]

[tex]x_{1} = 1[/tex]

By putting these values,

Slope [tex]= (7 - 1)/(5-1)[/tex]

[tex]= 6/4[/tex]

[tex]=[/tex] [tex]1.5[/tex]

∵The image of the line would be ║ to the original line.

Thus, option b is the correct answer.

Learn more about "Coordinate" here:

https://brainly.com/question/16634867

Do the ratios 19:7 and 2:1 form a proportion?
yes
no

Answers

Answer:

No

Step-by-step explanation:

1x7 does equal 7

but 2x7 doesn't equals 14 not 19

g(x) = −2x + 3; Find g(1)

Answers

Answer:

1

Step-by-step explanation:

g(1) = -2(1) + 3

g(1) = -2 + 3

g(1) = 1

2. Which of the following represent the value n, if the
expression below is rewritten in the form 3"?
3^-4 x 3^10
A) n = -40
B) n=6
C) n= -6
D) n=14

Answers

D is the correct answer

Laura goes to a Mexican restaurant for lunch. She is planning to order either a chicken or beef dish. If there are 8 choices for chicken and 12 choices for beef, how many options does Laura have to choose from?
A. 4
B. 8
C. 12
D. 20

Answers

Answer:

20

Step-by-step explanation:

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