What is equivalent to 0 = 2x2 - 16x – 18 when completing the
square?

Answers

Answer 1

Answer:

x = 1

x = -9

Step-by-step explanation:

(2x2 +  16x) -  18  = 0

2x2 + 16x - 18  =   2 • (x2 + 8x - 9)

x2 + 8x - 9

 -9    +    1    =    -8

     -3    +    3    =    0

     -1    +    9    =    8

 2 • (x + 9) • (x - 1)  = 0

2   =  0

x+9 = 0  

x = -9

x-1 = 0

x = 1

x2 + 8x - 9  = 0

  x2+8x = 9

(x+4) • (x+4)  =

 (x+4)2

x2+8x+16 = 25 and

  x2+8x+16 = (x+4)2

(x+4)2 = 25

x = -4 + √ 25

 x2 + 8x - 9 = 0

has two solutions:

 x = -4 + √ 25

  or

 x = -4 - √ 25

           

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

A   =     1

                     B   =    8

                     C   =   -9

B2  -  4AC   =

                    64 - (-36) =

                    100

 -8 ± √ 100

  x  =    —————

                   2

  x  =  ( -8 ± 10) / 2

x =(-8+√100)/2=-4+5= 1.000

or:

x =(-8-√100)/2=-4-5= -9.000

Answer:  x = 1

x = -9


Related Questions

Four times w is 16.

Answers

Answer:

w = 4

Step-by-step explanation:

4w=16

w = 16/4

w = 4

Step-by-step explanation:

The question is unclear. If the original question is telling you to make the word expression into an algebraic expression, the answer would be 4w = 16. On the other hand, if it was asking you to solve the given equation, the answer would be w = 4.

Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) left parenthesis, z, right parenthesis she can raise with 10 dark power crystals.

Answers

Answer:

So.. Liliana used 4 crystals to race 14 zombie soldiers.

14 / 4 = 3.5. She can race 3.5 zombie soldiers if she uses 1 crystal. So, all you need to do it multiply 3.5 by 10 and you end up with 35.

So, Liliana is able to race 35 zombie soldiers with 10 power crystals.

Glad I could help!

Step-by-step explanation:

Guys!!! Please help!! Geesh I need help

Answers

Answer:

42

Step-by-step explanation:

9 - 4 = 5

8 - 5 = 3

9 + 2 + 3 + 7 + 8 + 3 + 4 + 6 = 42

Answer:

Its 42 ;l

Step-by-step explanation:

PLEASE WILL MARK BRAINIEST!!!!!! Jameson and Quincy each deposit $7,000 into accounts that earn 6% interest, but Jameson earns annual simple interest while Quincy earns annual compound interest. Assuming neither one of them makes any deposits or withdrawals for 5 years, which of the following is a true statement?

Jameson will have about $9,367.58 less in his account than Quincy.


Jameson will have about $267.58 less in his account than Quincy.


Jameson will have about $2,367.58 more in his account than Quincy.


Jameson will have about $2,100 more in his account than Quincy.

Answers

Jameson will have about $267.58 less in his account than Quincy.

What is Compound Interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Here, Jameson deposit Principal = $ 7000

           Duration = 5 years

           Rate of interest = 6 % SI per annum.

For simple Interest,   Amount = P(1+RT)

Total amount in Jameson at the end of 5 years = 7000 ( 1 + 0.06 X 5)

                                                          = 7000 X 1.3

                                                         = $ 9100

Quincy deposit Principal = $ 7000

           Duration = 5 years

           Rate of interest = 6 % CI per annum.

For Compound Interest,   Amount = P(1+R)ⁿ

Total amount in Quincy at the end of 5 years =  7000 ( 1 + 0.06)⁵

                                                                           = 7000 X 1.34

                                                                           = $ 9367.58

Thus, Jameson will have about $267.58 less in his account than Quincy.

Learn more about Compound Interest from:

https://brainly.com/question/14295570

#SPJ1

Mark works as a librarian and makes $16.75 per hour. He gets paid time-and-a-half for overtime. How much will he make if he works 52 hours this week?

Play media comment.

Group of answer choices

$670.00

$971.50

$1,005.00

$871.00
PLZZZ HURRY

Answers

Answer:

$871.00

Step-by-step explanation:


Find the HIGHEST Common
and lowest common multple
of 36 and 48 using
prime factors

Answers

Answer:

Step-by-step explanation:

Least common multiple can be found by multiplying the highest exponent prime factors of 36 and 48. First we will calculate the prime factors of 36 and 48.

Prime Factorization of 36

Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:

36 = 22 × 32

Prime Factorization of 48

Prime factors of 48 are 2, 3. Prime factorization of 48 in exponential form is:

48 = 24 × 31

Now multiplying the highest exponent prime factors to calculate the LCM of 36 and 48.

LCM(36,48) = 24 × 32

LCM(36,48) = 144

List of positive integer factors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18

Factors of 48

List of positive integer factors of 48 that divides 36 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24

Greatest Common Factor Number

We found the factors and prime factorization of 36 and 48. The biggest common factor number is the GCF number.

So the greatest common factor 36 and 48 is 12.

Answer:

the least is 144 the highest is 12

Step-by-step explanation:

The table below shows Greg's scores at a state golf tournament. What is Greg's
average score for the five rounds?

A. -4
B. -3
C. -2
D. -1

Answers

B I believe is the answer

Answer: d

Step-by-step explanation:

You add all of his scores up and divide them by how many numbers there are which 3+1+ -3+ -2+ -4 equals -5 and you divide them by the five numbers which gives you one

Identify the constant of proportionality from the table.
26
5 15
6 18
8 24
C. 2
D. 6

Answers

Answer:

The constant of proportionality is 3.

Step-by-step explanation:

6/2 is 3 and so on.

Correct me if I'm wrong


Which graph represents the solution set for the inequality: y > x-1

Answers

Answer:

F

Step-by-step explanation:

Describe how the graph of y=2x and y=2x+7 are the same.​

Answers

Answer:

These two equations produce a similar graph because they both share the same slope: 2. The only difference is that the y-intercept for the second equation is a positive 7, making the graph shift upwards. Other than this, both equations would be parallel (and identical) on the graph.

The graph of a line and and exponential intersect twice, once, or not at all. Describe the possible number of intersections of each of the following pairs of graph. Your solution to each part should include all of the possibilities and a quickly sketched example of each one. (Part 1)(SHOW WORK)

a. A line and a parabola

b. Two different parabolas

Answers

a) A line can intersect a parabola at 2 points, 1 point, or no points respectively. The only possible way at which it intersects at 1 point, would be if it were tangent to the parabola. [Check first attachment]

b) Two different parabolas can intersect at 2 points, 1 point or no points respectively. [Check second attachment]

It is possible for 2 parabolas to intersect at 4 and even 3 points. But one of the parabolas would be on it's side. You can consider those cases.

5/6 minus (- 3/4)
HELP PLS

Answers

Answer:

In order to solve this problem, you have to find the lowest common denominator.  Take multiples of both 6 and 4 and see which is the lowest you have in common.

4: 4, 8, 12, 16, 20

6: 6, 12, 18, 24

So 12 is the lowest common multiple....

5/6 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

3/4 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

When the denominators are the same, you can subtract the numerators.  The denominator will stay 12!

Step-by-step explanation:

YAY! I want a brain

Answer:

Exact Form: 19/12

Decimal form:1.583

Mixed number form: 1 7/12

Step-by-step explanation:

hope i was right!

What is up guys!

Please only answer if you know the answer, the comment section is right below. Please don't waste my points!

Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

The image is down below. Show work! Thanks!

Answers

Answer:

Yes, No, Yes

Step-by-step explanation:

Use the Pythagorean theorem:

a² + b² = c²

Verify this for each line:

1.

28² + 45² = 53²2809 = 2809Yes

2.

33² + 56² = 64²4225 ≠ 4096No

3.

36² + 77² = 85²7225 = 7225Yes

Can someone help me ?

Answers

Answer:

The second one doesn't match.

Help please. Mathematics question 6.

Answers

[tex]{ :{ \implies { \tt{ \blue{ \frac{1}{4} x + 3 - \frac{1}{3} x + ( - 2)}}} }}\\ \\ \\ { : { \implies{ \blue{ \tt{ \frac{1}{4} x - \frac{1}{3} x + 3 - 2}}}}}[/tex]

[tex]{ : { \implies{ \tt{ \blue{ \frac{1}{4} x - \frac{1}{3} x + 1}}}}} \\ \\ \\ { : { \implies{ \tt{ \blue{ \frac{3x - 4x + 12}{12}}}}}} [/tex]

[tex]{ :{ \implies{ \blue{ \tt{ \frac{12 - x}{12}}}}}} \\ \\ \\ { : { \implies{ \blue{ \tt{1 - \frac{x}{12}}}}}} [/tex]

option ( D ) is correct

Oh god I don’t know

HELPPP I MAKE BRAINLIESTT

A seamstress charges a $5 fee per garment, plus $15 for each hour of work that the garment requires. The graph below shows the cost of having a single garment fixed by the seamstress, according to the number of hours of work that are needed.



Which linear function models the data?

A. c(t) = 5t

B. c(t) = 15t

C. c(t) = 5 + 15t

D. c(t) = 15 + 5t

Answers

Answer:

C. c(t) = 5 + 15t

Step-by-step explanation:

Well because the initial fee is $5, the answer must have the value of 5 without a variable next to it because this is the y-intercept.

(Only the slope will have the t next to it.)

Because $15 is charged EACH HOUR this would be the slope because there is a constant increase

Therefore c(t) = 5 + 15t

Answer:

C. c(t) = 5 + 15t

Step-by-step explanation:

She charges $15 per hour, so each hour (represented by "t") she earns 15 dollars. She also charges a $5 fee per germent. So she would get $5 plus 15 times however many hours she worked. So your answer would be c(t) = 5 + 15t.

The circle graph shows how a family budgets its annual income. if the total annual income is $130,000, ehat amount is budgeted for clothing?
$?​

Answers

Answer:

Step-by-step explanation:

17% = 0.17

$130 000 × 0.17 = $22 100

What is the area of a rectangle with a length of 7 feet and a width of 3 ¾ feet?

Answers

26.25 (7x3.75=26.25)

Answer:

105/4 ft^2

Step-by-step explanation:

Multiply length and width: 7*15/4 = 105/4 ft^2

A+5 expressed as a difference

Answers

Answer:

A-(-5) = A+5

it is the answer

Answer:

a-(-5)

Step-by-step explanation:

Since it's originally an addition question but you want to write it as a difference (subtraction) question, you would use double negative signs. Whenever there are two double negatives next to each other, it counteracts and becomes a positive sign, however you still wrote it as a subtraction question.

Hope this helps

The bake sale raised $60.00. If each cookie cost $0.75, how many cookies were sold
Pls help help help.

Answers

Answer:

80cookies

Step-by-step explanation:

60 / .75 = 80cookies

good luck, i hope this helps :)

Answer:  80 cookies were sold.

Step-by-step explanation:

To solve this, we divide the amount of money they earned by the amount of money each cookie cost. The answer is 80.

P = kQ
a) direct
b) inverse
c) joint variation
PLEASE HELP!! WILL MARK BRAINIEST!!

Answers

99% sure this is joint variation.

Please help me and give me explanation and stop giving me links you virus people. Please help me out.

Answers

Answer: Fifth

Step-by-step explanation: Second week really had the most sales, but it was not an option. Fifth week had the second most sales, and it WAS an option.

Answer:

Fifth.

Step-by-step explanation:

Second would have been the answer BUT second isnt a option.

plz help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

a 12/20 = 0.6

b 21/35 = 0.6

c 28.8/48 = 0.6

help me please I need help ​

Answers

Answer:

DO NOT GO ON THST LINK< IT WILL SEND A VIRUS TO YOUR DEVICE!!!

Step-by-step explanation:

Which statement about the ordered pair (-6,8) is true?

Answers

Answer:

a

Step-by-step explanation:

solve for y in one equation

2x + y = -4

y = -4 - 2x

plug y into the other equation

5x + 3y = -6

5x + 3(-4 - 2x) = -6

5x -12 -6x = -6

-x - 12 = -6

-x = 6

x = -6

plug x into the equation to find y

y = -4 - 2x

y = -4 - 2(-6)

y = 8

ordered pair: (-6,8)

Question 1 (1 point)

Andy bought total of 5 pairs of shoes and soxes. He bought some pairs of shoes and some pairs of soxes.

Set the variabloes as follows:

X = number of pairs of shoes

Y = number of pais of soxes

Which equation shows the total number of shoes and soxes he bought?

2x + 5 y =7

2X + 3 Y = 5

X + Y = 5

7Y - 2x = 5x

Answers

Answer:

The  equation that shows the total number of shoes and soxes he bought is x+y=5.

Step-by-step explanation:

Given that statement says that Andy bought total of 5 pairs of shoes and soxes this means that the equation would indicate that the sum of the number of pairs of shoes plus the number of pairs of soxes is equal to 5, which can be expressed as:

x+y=5

The other answers are not right because the numbers of pairs of shoes and soxes are multiplied by another number and the statement indicates that the pairs of shoes and soxes is equal to 5.

Use the figure to find the measures of the numbered angles.

Answers

Answer:

1 = 81 degrees

2 = 99 degrees

3 = 81 degrees

4 = 99 degrees

5 = 81 degrees

6 = 99 degrees

7 = 81 degrees

Answer:

Step-by-step explanation:

1 = 81 degrees

2 = 99 degrees

3 = 81 degrees

4 = 99 degrees

5 = 81 degrees

6 = 99 degrees

7 = 81 degrees

If Sally walks 2 meter it takes her 1 second. If she walks 4 meters it takes her 2 seconds and 6 meters takes her 3 seconds. Is this a linear situation? Make a table and plot the points in the table to determine whether the following relationship is linear If it is, write an equation that represents the data.

Answers

Answer:

y=2x

Step-by-step explanation:

2   1

4   2

6   3

Please help with this question. This is due today!

Answers

3x+2x=80
5x=80
x=8
*there should be a degree sign after but i can’t type that*

Answer:

3x° = 60°

2x° = 40°

Step-by-step explanation:

3x + 80 +2x = 180° (Linear Pair)

5x + 80 = 180

5x = 180 - 80

5x = 100

x = 20

Substituting the value for x,

3x° = 3 × 20 = 60°

2x° = 2 × 20 = 40°

If AB is parallel to CD and the slope of AB is -3, what is the slope of CD?

Answers

The slow would have to be the same, so it’s also -3
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