Mathematics Middle School

Solve the polynomial by completing the square. Show all steps of your work.[tex]x^2 - 2x - 63 =0[/tex]

Answers

Answer 1

Step-by-step explanation:

x^2-2x-63=0

x^2-x(9-7)-63=0

x^2-9x+7x-63=0

x(x-9)+7(x-9)=0

(x+7)(x-9)=0

x=-7

x=9

Answer 2

Answer: x = -9 and x= 7

Step-by-step explanation: By using completing the square method

= x² - 2x-63

= x² -7x+9x -63

= x(x-7)+ 9(x-7)

= (x+9) (x-7)

= x = -9 and x= 7

Related Questions

Rewrite x4y2 − 2x3y3 using a common factor.

x2y(xy − 2xy2)
x2y2(x2 − 2xy)
2xy2(x2 − x2y)
2xy(x3y − x2y)

Answers

The second choice bc if you take x2 x x2 it equals x4 then add the y2 at the end to make x4y2. Next, x2 + 2x equals 2x3 then y2 + y equals y3 so if you put ot all

the most common factor is 2

Simplify −4r(−11r + 2r − 14).

−36r2 + 56r
−36r2 − 56r
36r2 + 56
36r2 + 56r

Answers

Answer:

-4r(-11r + 2r - 14)

Multiply -4 with all the terms inside the parenthesis

-4r*-11r = 44r^2

-4r*2r = -8r^2

-4r*-14 = 56r

Combine

44r^2 - 8r^2 + 56r

36r^2 + 56r

Is the thirdd one I did it twice to check and it the third one

Cadesia has $42.70, which is 175% of the amount that Alisha has. How much money, in dollars, does Alisha have?

Answers

The amount of money she will have is 100%. So, you divide 175 by 100 and you get 1.75. Then, you divide 42.70 by 1.75 and get 24.4. So, Alisha has $24.40

Alisha has 24.40 dollars

Solve the polynomial by completing the square. Show all steps of your work.[tex]2x^2 - 2x - 12 = 0[/tex]

Answers

Answer:

x = 3 x = -2

Step-by-step explanation:

2[tex]x^{2}[/tex] - 2x - 12 = 0 Divide all the way through by 2

[tex]x^{2}[/tex] -x - 6 = 0 Add 6 to both sides

[tex]x^{2}[/tex] - x = 6 Take the b value of -1 and multiply that by 1/2 and then square your answer

(-1)(1/2) = -1/2 this squared is 1/4 Add 1/4 to both sides

[tex]x^{2}[/tex] - x + 1/4 = 6 + 1/4

[tex](x -1/2)^{2}[/tex] = [tex]\frac{24}{4}[/tex] + [tex]\frac{1}{4}[/tex]

[tex](x -1/2)^{2}[/tex] = [tex]\frac{25}{4}[/tex]

[tex]\sqrt{(x -1/2)^{2} }[/tex] = ± [tex]\sqrt{\frac{25}{4} }[/tex]

x - 1/2 = ± 5/2

x = 1/2 ± 5/2

x = 1/2 + 5/2

x = 6/2 = 3

x = 1/2 - 5/2 = -4/2 = -2

you need to factor this problem, to do this you find the common values that add up to -2 and multiply to -24, which are -6 and 4 then you set it up from that

Factor out the greatest common factor (GCF) using the distributive property (do not solve!).
8 + 12
Hint: Rewrite as __(__+__)

Answers

[tex]\begin{array}{r|l}8&2\\4&2\\2&2\\1\end{array}\\\\8=2^3\\\\\\\begin{array}{r|l}12&2\\6&2\\3&3\\1\end{array}\\\\12=2^2\cdot3[/tex]

Therefore, [tex]\text{gcf}(8,12)=2^2=4[/tex].

And so [tex]8+12=4(2+3)[/tex].

Answer: 4(2+3)

Explanation:
8 and 12 can be factored by 2 as well as 4. When they are factored by 2, the number can still be lower. The greatest common factor is 4 because the numbers can’t be factored any more.

given these dimensions, what is the area of the trapezoid, base 5, base 3, height 3

Answers

Answer:

Step-by-step explanation:

5+3=8

then

8÷2=4

then

4×3=12

Answer:

Step-by-step explanation:

8h-4d/d+1

H=1/4 d=5
Evaluate the expression

Answers

8*1/4-4*5/5+1
=2-20/6
= -18/6
= -3

So, the answer is -3

The answer for this question is -3

PLS HELP WORTH 35 POINTS!!
in wich of the tables are x and y inversely proportional
A
x=1,2,3,4
y=6,3,2,1.5
B
x=2,3,5,7
y=7.5,5,3,2
C
x=1,3,4,24
y=24,8,6,1
D:
x=0.1,0.3,25,100
y=200,40,0.8,0.2

Answers

Answer:

A, C

Step-by-step explanation:

If it is inversely proportional then y = k/x

Let's try one by one for the options. (im replacing y and x in the equation and finding k to see if k is the same all throughout)

6 = k/1 (k=6)

3 = k/2 (k=6)

2 = k/3 (k=6)

1.5 = k/4 (k=6)

Yes! It's the same everywhere so this is correct!

7.5 = k/2 (k=15)

5 = k/3 (k=15)

3 = k/5 (k=15)

2 = k/7 (k=14)

For the last one k is not the same so nope. It is wrong.

24 = k/1 (k=24)

8 = k/3 (k=24)

k = 6×4 = 24

k = 24×1 = 24

This is correct too.

k = 0.1×200 = 20

k = 0.3×40 = 12

k = 0.8 × 25 = 20

We can already see that k is not the same everywhere.

Only A and C, x and y are inversely proportional for all of the values

Answer: c

Step-by-step explanation:

Please Hurry. I need this answer quickly please.

Answers

Answer:63

Step-by-step explanation:

multiply 72 by 7 then divide i by 8

(72×7)/8

=63

It's 63.

simplify the equation 7/8×72 multiple 7×9 solution is 63

Please help me with this question! Thank you

Answers

Answer:

Step-by-step explanation:

Well it would be true for f. because all people would want orange juice or lemonade.

the answer is that it would br true for f

Here are some shapes to draw on a grid.

Write the letters of the two shapes that are equal in area.
.......... and......... NEED AN ANSWER ASAP PLEASE!!

Answers

Answer:

B and D

Step-by-step explanation:

C= 4 1/2

A=4

D=3 1/2

B=3 1/2

Answer:

A, D

Step-by-step explanation:

Sample Answer: Make a table with inputs showing the number of bottles of water and outputs showing the total cost of the water. Use 1, 2, 3, and 4 bottles for the inputs. Find the corresponding outputs. Plot the ordered pairs in the table of the form (input,output).

Which instructions did you include in your explanation? Check all that apply.
Identify the input.
Identify the output.
Create a table for four input values.
Plot the points from the table.

Answers

The instructions that you would include in your explanation are:

Identify the output.

Create a table for four input values.

Plot the points from the table.

The instructions to be included

In the given question, a series of instructions are provided. To properly explain your process, you have to explain how you got the output. There is no need of explaining the input as they are already provided.

Next, you will Show how you created the table and why you created it in that way. Finally, indicate how the points were plotted on the table. An explanation such as this will help anyone to follow through.

Learn more about ordered pairs here:

https://brainly.com/question/1528681

#SPJ1

Answer:1 to 2

2 to 4

Step-by-step explanation:

Solve the polynomial by completing the square. Show all steps of your work.
[tex]x^2-2x=3[/tex]

Answers

no real answer for this solution so just put in a 0 for this answer

The solution is the following

The question says to simplify it(4x-1)+(-6x+3)

Answers

Step-by-step explanation:

(4x - 1) + (-6x + 3)

Combine 4x and -6x to get -2x

-2x + 1 - 3

Subtract 3 from 1 to get -2

-2x - 2

Answer: -2x - 2

Step-by-step explanation:

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