8x² + 16x - 62 = -5, solve by completing the square. PLEASE HELP IVE BEEN STRUGGLING FOR HOURS

Answers

Answer 1

Answer:

x=-1+[tex]\frac{1}{4}[/tex][tex]\sqrt{130\\}[/tex] or x=-1+[tex]\frac{-1}{4}[/tex][tex]\sqrt{130}[/tex]

Step by step:

Step 1: Subtract -5 from both sides.

8x2+16x−62−(−5)=−5−(−5)

8x2+16x−57=0

For this equation: a=8, b=16, c=-57

8x2+16x+−57=0

(plus-minus) = ±

Step 2: Use quadratic formula with a=8, b=16, c=-57.

x=[tex]\frac{-b(plus-minus)\sqrt{x} b^2-4ac}{2a}[/tex]

x=[tex]\frac{-(16)(plus-minus)\sqrt{(16)^2-4(8)(-57)} }{2(8)}[/tex]

x=[tex]\frac{-16(plus-minus) \sqrt{2080} }{16}[/tex]

ANSWER:

x=-1+[tex]\frac{1}{4}[/tex][tex]\sqrt{130}[/tex] or x=-1+[tex]\frac{-1}{4}[/tex][tex]\sqrt{130}[/tex]


Related Questions

The students in Jeanette's grade voted to select a guest speaker. 50% of the students voted for a famous athlete. If there are 22 students in Jeanette's grade, how many students voted for the athlete?

Answers

11 students voted for the athlete

please help 25 points !!!!!!!!!!!!!!!!!!!
look at the picture below . write a word problem for that equation.

Answers

Now we have to,

Write a word problem for the equation,

→ 2/6 × 3/4

Let's write a word problem,

Nobita had got salary, then he spent his 2/6 of his salary for every 3/4 times. How much he had spent totally (in fraction), give the required expression?

I Need help ASAP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I'm sorry I know nothing about this but I hope this helps

Please help due today

Answers

Answer: 80 ft²

Step-by-step explanation:

The area of a trapezoid is one half  the product of the height and the sum of the lengths of the  bases.

(6 + 10) * 0.5 * 10 = 80 (ft²)

2) Mackenzie just started training for a marathon. According to her plan,
she must run 19 miles the first week and 25 miles the second week. What is
the percent increase?

Answers

25/19 = 1.31589474
.0131589474%

Answer:

32%

Step-by-step explanation:

25 - 19 = 6

6 divided by 19 = 0.315

round to the nearest percent, 32%

Please help me my moms gonna kill me if I don’t get this done(20 points)

The polygons are similar. Find the values of
the variables. Write an equation and solve,
showing ALL the work.

Answers

Answer:

x=30° y=4

Step-by-step explanation:

[tex] \frac{y}{8} = \frac{2.5}{5} [/tex]

cross multiple

5y=8(2.5)

5y=20

divide 5 by 20

and you should y=4

since the polygons are similar x should have the same degrees as the bigger polygon

Answer: Y=4

Step-by-step explanation

Since the inside of a triangle is 180 degrees the 30 degrees plus the 90 degree corner minus the total inside degree so the other corner is 60 degrees. the dialation is 62.50  percent or .625 in decimal form which makes the vareable  y equals 4 once you divide 2.5 by .625

Your welcome for the help :)

PLEASE HELP ITS TIMED!!!
Which is greater -1.9 or -2 1/9

Answers

Answer:

-1.9

Step-by-step explanation:

Briley has 347 marbles. Joey has 4 times as many as Briley. Carson has 799 fewer than Joey. How many marbles does Carson have?

Can somebody help me thank you? Show work please

Answers

Answer:

697 marbles

Step-by-step explanation:

We know:

Briley- 374 marbles

Joey- 374*4

Carson- (374*4)-799

Solve:

374*4= 1496 (This is how many Joey has)

1496-799= 697 (This is how many Carson has)

Hope this helps!

Find the x- and y-intercepts of
5x - 3y = 12
.

Answers

x = (12/5,0)
y = (0,-4)

substitute 0 in for y & solve for x , to find the y-intercept substitute 0 in for x and then solve . ( I hope that makes sense)

Please help. I attached the file below

Answers

Answer:

33.2

Step-by-step explanation:

41.5÷1.25=

33.2

Answer:

31.6 or 31 6/10 or 31 3/5

Step-by-step explanation:

39.5/1.25 = 31.6

Jack gets 31.6 miles per gallon.

.25 = 1/4

.5 = 1/2

Kahleela starts the engine on her small private airplane. The engine drives a propeller with a radius of 8.5 feet and its centerline 11.5 feet above the ground. At idle, the propeller rotates at a constant speed of approximately 800 revolutions per minute. The height of one propeller tip as a function of time is given by h = 11.5 + 8.5 sin(800t), where h is the height in feet and t is the time in minutes. Find h when t = 5.5 minutes.

Answers

Answer:

a=21.1

Step-by-step explanation:

You can use the given (incorrect) equation and fill in the value of t to find h:

 h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet

__

Or, you can use the correct equation, or just your knowledge of revolutions:

 h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet

in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 full revolutions, so is back where it started — at 12.5 feet above the ground.

Answer:

A. 3.1 feet is the answer i believe.........

Step-by-step explanation:

Find the perimeter of the following figure:

a. 3a2+ 22a + 35
b. 8a + 24
c. 4a + 12
d. 3a2 +22a + 12

Answers

Answer:

B

Step-by-step explanation:

8a+24

Answer this problem

Answers

Answer:

(3,-7)

(-8,48)

(-4,28)

(8,-32)

(-3,23)

Step-by-step explanation:

To solve, just put in the x value from the table as the x value in the equation. Then solve to get y.

Hope it helps!

Pl help its for a grade

Answers

Answer:

85

Step-by-step explanation:

Can someone solve this?
25^2x-3=125^x+1

Answers

Answer:

im not so sure but here what i got

Step-by-step explanation:

(252)(x)−3=125x+1

125x=625x−4

25^2 * (X-3) = 125^X + 1
125 * (X-3) = 125^X + 1

Juanita has saved 20% of the money that she needs to buy a new bicycle if she has saved $52 how much money does the bicycle cost?​

Answers

answer: the bicycle costs $180


find an equation for the line below

Answers

The equation of the line is: y=2/-5x + 3 3/5

plssss help giving brainly

Answers

Answer:

-2 and 4

Step-by-step explanation:

not 100% sure but i think so

Answer: 4 + -6 = -2

Explanation: it’s technically 4-6 which also equals -2

HELP I NEED HELP ASAP

Answers

I believe the answer would be C

factor each expression

24x +8y


HELP ASAP
WRONG ANSWERS REPORTED

Answers

I think your answer would be 3(3x+y)

solve for X

Please help

Answers

Answer:

x = 5

Step-by-step explanation:

set JN and NL equal to each other...

14x – 17 = 3x + 38

11x = 55

x = 5

suppose potatoes cost $0.99 per pound. complete the function rule c=? to describe the relationships between the total cost c and the number of pounds of potatoes p you buy.

Answers

Answer:

c=p*0.99

you gonna multiply the amt of patatoes by the cost of one to get the total like if you were buying 5 you would multiply  5 by 99 to get the total    

P = $0.99

C = [tex]P * x[/tex]

[Note: x is how many pounds of potatoes you buy.]

Hope this helped, I'm not too good with relations.

I will give brailiest
Estimate the sale price of the item.
30% off a bike for $432.43

Answers

Answer:

Purchase Price:

$432

Discount:

(432 x 30)/100 = $129.60

Final Price:

432 - 129.60 = $302.40

Step-by-step explanation:

Answer:

About $129

Step-by-step explanation:

30% of $432.43 rounds to 30% of $430 = .3 x 430 = About $129 dollars

Hope that helps!

What is the simplest form of 15/60

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

15/60 simplified equals:

1/4

Step-by-step explanation:

In the fraction 15/60, 15 is the numerator and 60 is the denominator.

When you ask "What is 15/60 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.

We do this by first finding the greatest common factor of 15 and 60, which is 15.

Then, we divide both 15 and 60 by the greatest common factor to get the following simplified fraction:

1/4

Find the shaded area

Answers

Answer:

area of big rectangle=l×b=12×18=216cm²

area of smaller square=l²=8²=64cm²

area of shaded area =area of (bigger rectangle-smaller square)=216-64=152cm²

Solve for θ or x, round to the nearest tenth. I will mark brainliest if its correct!

Answers

cos-1 divided by (15/21) rounded to nearest tenth 44.4

help how do u do this, this assignment is due in a couple hours
brainliest for helping

For questions 1-4, find the distance between points A and B. Round your solutions to the nearest tenth when necessary.

Answers

Answer:

1. AB= 8.94,

2. AB= 7.28

3. AB= 16.4

4. AB= 19.21

Step-by-step explanation:

This is fun! Well you have to find the (1,4) (or point e) point and count the distance to the other points point a and point b.

4 units from a to e and 8 b to e

a² + b² = c²

8² + 4² = c²

64 +16 = c

√80 = √c²

8.94 = c

It dose not matter which units you plug in for a and b but c has to be the long side of the triangle/ hypotonuse.

Follow the same steps for the rest of the problems.

On proplems 3 and 4 plot points first you can subtract the x-x and y-y as a short cut to find the units.

Type your response in the box.
Solve the equation x^2 – 5 = √ x – 2 by using successive approximation-

Answers

9514 1404 393

Answer:

  x ≈ 2.367796

Step-by-step explanation:

There are a number of ways to use "successive approximation" to find a solution to an equation. You have not specified the method or the required accuracy.

__

One of the more tedious is the bisection method, which computes the value of the function at the midpoint of an interval, to see if that midpoint should be a new interval bound. This method requires about 3 iterations per decimal place of the answer.

Another method is the secant method. It computes the x-intercept of the secant line joining the points at the ends of the interval containing the solution. The function value at this x-intercept is used to see if that point should be a new interval bound. This method converges slightly faster than the bisection method. It is speeded by adjusting both ends of the interval.

Newton's method iteration converges at a quadratic rate, nearly doubling the number of correct decimal digits at each iteration. This works in a fashion similar to the secant method, except the x-intercept is computed from the function value and its derivative, not from points at the ends of an interval.

__

We assume you want the solution to ...

  x^2 -5 = √(x -2)

This is conveniently reformulated to ...

  x^2 -5 -√(x -2) = 0

so that we're seeking a zero of the function on the left.

The attached shows several iterations of the secant method. The function g is used to compute the x-intercept point on the line between (x1, f(x1)) and (x2, f(x2)). Then f(g( )) computes the function value at that x-intercept. We have used that to decide what the next interval limits (x1, x2) could be.

Our final guess at x is ...

  x ≈ 2.367796 . . . . secant method

which gives an error less than 10^-5 between the left- and right-sides of the equation.

_____

Additional comments

At the bottom of the attachment is the Newton's Method iterator. The nice thing about this graphing calculator is that it displays the result of computing h(x) even as the value of x is being typed. This means you can type what you see and achieve full calculator precision for the solution in basically one pass. This method gives x = 2.36779701571.

Some hand-held graphing calculators have a derivative function built-in, so it is practical to use them to perform Newton's method iteration in substantially the same way.

The average depth of five lakes is 229m. If none of the lakes is less than 194m deep then the greatest possible depth of one of these lakes in meters is,

Answers

Answer:

The average depth of five lakes is 229m. If none of the lakes is less than 194m deep then the greatest possible depth of one of these lakes in meters is,

Answer:

369

Step-by-step explanation:

* = Multiply

5*229=1145
Lakes * Average = Total Average Depth of Five Lakes

(1145-369)/4=194 (it worked)
4 is the other lakes, 369 would be considered the largest lake.
Answer is 369.

Cheers, iYekria

Select the situation that describes the expression given below.


A.
Janey is given cups of flour for making cookies. She only uses of a cup of the flour.

B.
Jean has pounds of grapes. He gives of a pound of grapes to Roy.

C.
Elroy cuts meters of rope into pieces that are each of a meter long.

D.
Von runs around a jogging track times. The jogging track is of a kilometer long.

Answers

Answer:

the awnser should be. c

Step-by-step explanation:

because shes cutting them which divides them

Other Questions
Verizon charges $200 to start up a cell phone plan. then there is a $50 charge each month. what is the total cost for .x months During the Tang Dyanasty was considered one of their greatest achievements.The Atomic BombThe Great Wall of ChinaThe Grand CanalChinese Writing System PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEsolve by graphing x - 3y = 2-3x + 9y = -6 Though all humans start off the same way, give a brief explanation about what makes us all so different Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. Format your answer in the sequence: hypotenuse, unknown leg, known leg. 1/3 (x 10) = -4, x = Help I need one more number but I have no clue what it is!!!!!!!!!!!!! how do I fix this sentence '' peel the potatoes put them in a pot add water and cook them until theyre soft'' 2(x + 5) = 30 what does x equal? Which of the six components of health best demonstrate the importance of good nutrition? BE QUICKA social healthB environmental healthC physical healthD spiritual health 'If there is a ton of corn in a tank, and 500 pounds of corn are removed, what is theweight of the remaining corn in the tank? Read and reread the excerpt from We Shall Not Be Moved.A strike fund would have to be raised, an information bureau set up where strikers could register for relief, or for help with legal and personal problems. Publicity was another vital need photos and eyewitness accounts of workers on the picket lines being harassed by gorillas and police. The picket lines themselves would have to be organized.Why was publicity a vital need for the strikers?They needed help paying their bills while not working.They needed to register for legal and personal information.They needed the nation to hear and see their story.They needed their picket lines to be organized. Analyze this poster from World War II. Which two sentences capture the message of the poster?A war poster shows a man driving a car with Hitler. The caption says, When you ride alone you ride with Hitler! Join a car-sharing club today! If a strand of DNA has 10% G,A:C:T: please do 8 and 9 and i will give u brainiest Which table represents a linear function? A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of the water is 4.75 feet. The equation 4.75 = x + (negative 0.25) can be used to find x, the original height of the water in a poolWhat was the original height of the water in the pool in fet Define the following Vocabulary words1. Archae Bacteria2. Bacteria3. Eukarya Kingdom4. Domain 2. Noah said, "I think this line is a good fit because it passes through the leftmost point and the rightmost point." Doyou agree? What is the first step for plotting points on the coordinate plane