Answer:
y=2x-2
Step-by-step explanation:
<em>the slope is y/x</em>
the slope is 2 or 2/1
<em>subtract 2 from the y value and 1 from the x value</em>
(3-1,4-2) = (2,2)
<em>keep doing this until you get a 0 in the x value</em>
(2-1,2-2) = (1,0)
<em>1 is your x-intercept</em>
(1-1,0-2) = (0,-2)
-2 is your y intercept.
So now you know your y-intercept and your slope so you can now write your equation.
<em>y=mx+b</em>
<em>m=slope, b=y-intercept</em>
m=2, b=-2
<em>substitute into the equation</em>
y=2x-2
First box is EF.
Second box is segment congruence postulate.
Third box is segment additon postulate.
Fourth box is DF. For this one the last sentence basically gives you the answer.
Just so you know for the fourth I guessed on if it's DF lined or DF unlined. I made my educated guess on the fact that the last line doesn't have a line. I hope this helps, and please tell me if I got something wrong, or my explanation wasn't sufficent enough for you.
Answer:
36 objects
Step-by-step explanation:
You want the value of x when t=9, so you're solving ...
9 = 0.007x^2 +0.003x
9 = 0.007(x^2 + 3/7x)
From here, we observe that an approximation is probably sufficient.
9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2
x ≈ 3/√.007 ≈ 35.9 ≈ 36
We can check:
.007(36)(36 3/7) = 9.18
.007(35)(35 3/7) = 8.68
To keep the computer busy for 9 seconds, it needs to sort 36 objects.
Answers:
a = 2
b = 3
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Explanation:
Plug in x = 0 and y = 2 to find that
y = a*b^x
2 = a*b^0
2 = a*1
2 = a
a = 2
Then plug in x = 3 and y = 54 to determine the value of b
y = a*b^x
y = 2*b^x
54 = 2*b^3
2b^3 = 54
b^3 = 54/2
b^3 = 27
b = (27)^(1/3)
b = 3
So we have y = a*b^x update to y = 2*3^x
Answer:
73
Step-by-step explanation:
