Solve the following equation using the completing the square method:
x2+8x=3

Answers

Answer 1

Answer:

x= plus or minus square root of 19 -4

Step-by-step explanation:

x^2+8x ___=3

take half of your b term (8) and then multiply by two and add or subtract it to both sides

x^2+8x+16=3+16

then combine like terms

x^2+8x+16=19

then factor your quadratic equation

(x+4)^2=19

now solve for x

take the square root of (x+4)^2 to get rid of the ^2

you then also have to square the 19 because what you do to one side you have to do to the other

(x+4)= square root of 19

subtract 4 from both sides

x= plus or minus square root of 19 -4

Answer 2

Answer:

Step-by-step explanation:

Divide the coefficient of x by 2

8/2 = 4. Now find the square of 4 = 4² = 16

Add 16 to both sides of the equation

x² + 8x + 16 = 3  + 16

x² + 2* x * 4 + 4² = 19

{Compare with a² + 2ab + b² = (a + b)² }

(x + 4)² = 19

Both sides take square root,

[tex]\sqrt{(x+ 4)^{2}}=\sqrt{19}\\\\x + 4 = \sqrt{19}[/tex]

x + 4 = ± 4.36

x + 4 = 4.36   ; x +  4 = -4.36

x = 4.36 -4     ;    x  = -4.36 - 4

x = 0.36         ; x = - 8.36


Related Questions

Samirs bedroom has an area of 48 square feet.

The bedroom is 8 times as many square feet as Samir’s closet. If the closet is 3 feet wide, what is the length of the closet?

Answers

Answer: 2 feet

Step-by-step explanation:

brainliest to first correct answer.

Which product is modeled by the number line below?

(negative 3) (4)

(negative 2) (4)

(2) (4)

(3) (4)

Answers

Answer:

(negative 2) (4)

Step-by-step explanation:

Because a single step is ( negative 2)

And it's repeated 4 times

Answer:

The product that is modeled below is ( -2 ) * ( 4 ).

Step-by-step explanation:

Hope this helps!

Erika created a scatterplot representing the height a plant grew after a certain number of hours of sunlight. The plant height was plotted on the horizontal axis. Which statement best describes how she should draw her line of best fit? A. The line of best fit will be horizontal. B. The line of best fit will be vertical. C. The line of best fit will increase from left to right. D. The line of best fit will decrease from left to right.

Answers

Answer:

B

Step-by-step explanation:

The line of best fit should be vertical. This answer may not be correct.

The correct statement is statement B that is the line of best fit will be vertical.

What is a scatter plot ?

A scatter plot is a graph in which the values of two variables are displayed along two axes, and any correlation is revealed by the pattern of the resulting points.

It is given that , after a particular amount of hours of sunlight, Erika made a scatterplot showing the height that a plant increased to. On the horizontal axis, the plant height was shown.

We know that in a scatter plot , the values of two variables are displayed along two axes. As the plant height was shown on the horizontal axis. The other value which is amount of hours of sunlight will be on the vertical axis.

So , the statement which best describes how Erika should draw her line of best fit i.e., the line of best fit will be vertical.

Therefore , the correct statement is statement B that is the line of best fit will be vertical.

Learn more about scatter plot here :

https://brainly.com/question/6592115

#SPJ2

how do you solve 4x+1=9+4y

Answers

Answer:

x-y = 2

Step-by-step explanation:

I think it the right answer

Find the area of the figure. (Sides meet at right angles)

Answers

Answer:

45cm^2

Step-by-step explanation:

3x5x2=30

5x3=15

15+30=45

if a quadratic equation with real coefficients has a discriminant of -2, then its roots must be

A:2 real
B:1 real
C: imaginary
D:equal​

Answers

The correct answer is C: imaginary.

When the discriminant is negative, this implies that the quadratic equation has no roots (or zeros) in the set of real numbers. The roots belong to the set of complex numbers, and will be called "complex roots" (or "imaginary roots").

Therefore, the correct answer is C: imaginary.

Please mark my answers as the Brainliest if you find this explanation helpful :)

Find the values of x and y. The diagram is not to scale.
1 point
50
(x-2
(y-1)
66
X=65, y=68
X=68, y=65
X=50, y=68
X=66, y=70

Answers

X-2 and 66 are corresponding angles
Therefore x-2=66
X=68
And only one option has x=68
The second option is the correct answer

Help please due in like seven minutes!!!

Answers

the answer is simply B. the slop is going down and it’s negative so it would be negative slope .

The correct answer is B/the second option.

The reason is that you can find slope by doing y2-y1/x2-x1, however x1 was put before x2 and therefore the slope was wrong. Good luck !! :)

A recipe calls for 2 cups vegetable oil for every 3 cups of water. If 4.5 cups of water are added, how many cups of vegetable oil must be added to the recipe?
1.5 cups 3 cups
7 cups 8.5 cups

Answers

Answer:

the answer to your question is 6.75 cups of oil will be added

x is directly proportional to y. When y = 7, x = 28. Write and equation of x in terms of y. Find x when y = 15.

Answers

Answer:

60

Step-by-step explanation:

28 : 7 : : x : 15

28 / 7 = x / 15

4 = x / 15

x = 4 * 15

x = 60

x = ky— directly proportional

28 = 7k

4 = k

so x = 4y

plug in y and you get x = 4(15) = 60

Therefore, x = 60 when y = 15

How do I find an overall grade?

My scores are:

27.92 out of 30
19.25 out of 17.5
21.88 out of 17.5
11.55 out of 17.5
13.65 out of 17.5

The two scores I got bonus questions right that's why I scored above.

Can you please explain how to get the answer so I can know how to solve!

I have 6 tests left is it still possible to get an A in this class?​

Answers

you would divide them so 27.92/30 is would be a 93 and so on. you would have around an 88 which is a B+ so i’m sure if you do good on the other assignments you’ll get a high A

Evaluate the expression: 12.6(2 – 3) + 26 - 4
A. – 4.6
B. 3.4
C. 21.55
D. 12.85

Answers

Answer:

The answer so simplyfjdjdnxkxndndjxjfnfngkdjsjajajjdjfj the answer is D

Answer:

hi robertlyonsdamron the answer will be B

Step-by-step explanation:

You can use the order of operations to evaluate the expression. Perform the subtraction inside the parentheses: two minus three equals negative one. Evaluate the exponents: two to the sixth power is sixty-four. Multiply and divide in order from left to right: Twelve point six times negative one equals negative twelve point six, and sixty-four divided by four is sixteen. Add and subtract in order from left to right: Negative twelve point six plus sixteen equals three point four.

PLEASE EXPLAIN YOUR ANSWER!!

Mark decided to open a business selling handmade soap but needed to borrow $1,200.00 for supplies to start. He took at simple interest loan for 1 year at 10 percent. He sold each bar of soap for $4.00. How many bars of soap will he need to sell in 1 year to cover the amount to repay the loan and interest?

A. 120
B. 240
C. 330
D. 480​

Answers

Answer:

Answer: Option 330 bars of soap Step-by-step explanation: If the amount is $ 1,200 and the simple interest for a year is 10% then the amount that Mark must pay is: If each soap bar costs $ 4 then the amount of soap bars you must sell in 1 year is: The answer is the first option  

Step-by-step explanation:

Answer:

330

Step-by-step explanation:

$1,200.00 + 10% = $1,320.00 or $1,200.00 + $120.00 = $1,320.00

$1,320.00 / $4.00 = 330

330 * $4.00 = $1,320.00

This is my 2 time posting please answer
Fernando opened a pizza box. Inside there was 3/4 of a pizza. He ate 1/3 of what was remaining. How much of a pizza did he eat? Fernando opened a pizza box. Inside there was 3/4 of a pizza. He ate 1/3 of what was remaining. How much of a pizza did he eat? Please include a sentence explaining your reasoning.

Answers

Answer:

He ate 1/4 of a pizza.

Step-by-step explanation:

1/3 basically means: There are 3 parts, you take 1 of those parts

so 3/4 means that there are three fourths. 3/4 divided by 3 = 1/4. He ate 1/4 of a pizza.

solving proportions

Answers

Answer:

Out of State = 54

Step-by-step explanation:

Out of State

2/9 = x/243

= 54

Answer:

54

Step-by-step explanation:

7 in-state to 2 out-of-state

The sum of 7 and 2 is 9.

For every 9 students, 2 are out of state.

This is the proportion:

2 out-of-state is to 9 total as x out-of-state is to 243 total

2/9 = x/243

9x = 2 * 243

x = 54

Answer: 54

HEEEEEEEEEEELLLLLLPPPPP!!!!!!!! what is ivory ​

Answers

Answer:

Ivory is a hard, white material from the tusks and teeth of animals, that consists mainly of dentine, one of the physical structures of teeth and tusks. The chemical structure of the teeth and tusks of mammals is the same, regardless of the species of origin.

Step-by-step explanation:

.

Choose SSS, SAS, or neither to compare
these two triangles.
A
B
SSS
SAS
neither

Answers

Answer:

neither of these options are right I think

Graph each function for the given domain.

3x - y = 1 D(-3,-1,0,4)

Answers

Answer:

the following ordered pairs are your coordinates: (-3,-10), (-1, -4), (0,-1), (4,11)

Step-by-step explanation:

We can find these algebraically. First, you need to put your equation into the form y=mx+b. The m is the slope and the b is your y intercept. Once we have that equation, we just plug in the given X values to find their Y counterparts. The domain is simply the X coordinate and the range is the Y. I hope this helps!

Suppose that a plumbing repair bill, not including tax,

was $130. This included $25 for parts and an amount

for 2 hours of labor. Find the hourly rate that was

charged for labor.

Answers

answer: $52.50
explanation:130-25=105 105 divided by 2 hours is 52.5

Bernard's Ice Creamery sold 50 sundaes last week. There were nuts on 29 of the sundaes. What is the ratio of the number of sundaes without nuts to the number of sundaes with nuts?

Answers

Answer:

'its a remix and im comin wih dat bow bow bow'

Step-by-step explanation:

Manny is always looking for coins lost on the playground. He has a collection of 72 coins, all nickels and dimes, totaling $6.20. What is the total amount of money he has found in dimes?

Answers

Answer:

The answer is ”62” Beacause you just divide 620 by 10

Step-by-step explanation:

If you like this answer please give brainleist and rating! Hope this helps!^_^

use the distibutive property to find the product 1/5 x 5 10/11​

Answers

Answer:

1/2/11

Step-by-step explanation:

1/5×5/10/11=1/5×65/11

=13/11

=1/2/11

I really need help. PLEASE

Answers

Answer:

Question 1: 2 Question 2: 1/3 Question 3: -3

Step-by-step explanation:

rise over run :)

i need help, can someone show me how to solve it

Answers

Answer:

9

Step-by-step explanation:

Simply plug -3 in for x.

-2(-3)^2-7(-3)+6

(-3)^2=9

9*-2= -18

-7*-3=21

-18+21=3

3+6=9

Answer:

f(-3) = 9

Step-by-step explanation:

Here we have a quadratic function in x:  and we want to know the value of this function when x = -3.

Substituting -3 for x in f(x) = -2x^2 - 7x + 6, we get f(-3) = -2(-3)^2 - 7(-3) + 6, which works out to                                                    f(-3) = -2(9) + 21 + 6, or

                                                                                    f(-3) = -18 + 27 = 9

Thus, f(-3) = 9

For BRAINILY please help

Answers

Answer:

z=55 degree

Step-by-step explanation:

because the sides are equal let say the numbers x

2x+70=180

2x=180-70

2x=110

x=55

branlist please

Math Is Really Hard Help Pls

Answers

Answer:

-2 and 2/3

Step-by-step explanation:

(2/3) / (-1/4) is equivalent to (2/3) x (-4/1)

This equals -8/3, of which simplifies down to -2 and 2/3

Which organism has an exoskeleton
crab
tree
deer
elephant
PLS HURRY!!!!

Answers

a crab has a exoskeleton

crabs have exoskeletons instead of endoskeletons

Dao has 2 3/8 pounds of hamburger meat. He is making 1/4 -pound hamburgers. Does Dao have enough meat to make 10 hamburgers?

Answers

Answer:

No

Step-by-step explanation:

1/4=2/8 2 3/8 divided by 2/8= 9 1/8 hamburgers

Lea has 2 cans of oil. if each contains 3.4 liters how many liters of oil does she have in all

Answers

Answer:

the answer is 6.8 litres

Step-by-step explanation:

3.4 × 2 = 6.8

Write the equation of the parabola in vertex form.
vertex (2,4), point (3,-2)
f(x)=

Answers

Answer:

f(x)=2x2−8x+4. Explanation: the equation of a parabola in vertex form is.

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