[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].
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.
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 includedIn 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:
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Answer:1 to 2
2 to 4
Step-by-step explanation:
Cadesia has $42.70, which is 175% of the amount that Alisha has. How much money, in dollars, does Alisha have?
Solve the polynomial by completing the square. Show all steps of your work.[tex]2x^2 - 2x - 12 = 0[/tex]
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
Please help me with this question! Thank you
Answer:
Step-by-step explanation:
Well it would be true for f. because all people would want orange juice or lemonade.
Please Hurry. I need this answer quickly please.
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
8h-4d/d+1
H=1/4 d=5
Evaluate the expression
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
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)
A.
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!
B.
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.
C.
24 = k/1 (k=24)
8 = k/3 (k=24)
k = 6×4 = 24
k = 24×1 = 24
This is correct too.
D.
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:
Solve the polynomial by completing the square. Show all steps of your work.
[tex]x^2-2x=3[/tex]
