Answer:
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Answer:
D. $1.95
F. $3
Step-by-step explanation:
dimes: x + 2
quarters: x
x + 2 + x = 12
2x + 2 = 12
2x = 10
x = 5
dimes: x + 2 = 5 + 2 = 7
quarters: x = 5
Total value: (7 * .10) + (5 * .25) = $1.95
_____
dimes: x
quarters: 2x
x + 2x = 15
3x = 15
x = 5
dimes: x = 5
quarters: 2x = 2(5) = 10
Total value: (5 * .10) + (10 * .25) = $3
<h3>
Answer: Distance between x intercepts is 1 unit.</h3>
======================================================
Explanation:
Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x
f(x) = -2x+2
0 = -2x+2
2x = 2
x = 2/2
x = 1
Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.
-----------------------
Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).
First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.
m = (y2-y1)/(x2-x1)
m = (3-6)/(1-0)
m = -3/1
m = -3 is the slope
The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.
So with m = -3 and b = 6, we see that g(x) = -3x+6.
-------------------------
Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top
g(x) = -3x+6
0 = -3x+6
3x = 6
x = 6/3
x = 2 is the x intercept of g(x)
--------------------------
In summary, we found...
- x = 1 is the y intercept of f(x)
- x = 2 is the y intercept of g(x)
Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.
Answer:
Step-by-step explanation:
you first add up the marbles together. 3 + 4 + 3 +.5 = 15. Then you take the amount of green marbles their are, and make a fraction: 3/15. Then you remove one without putting it back, which is green, so you have 1 less total and one less green marbles, and you turn that into a fraction: 2/14.
First Pick: 3/15 chance of getting green
Second Pick: 2/14 chance of getting green
Then. You divide the first number by the second one.
3 / 15 = 0.2
2 / 14 = 0.142
Then to turn into percentage you move the decimal over two spots and drop the 0 and add a percentage sign:
20%
14.2% (Round Up Percentage) 15%
Which means that:
20% Probabiltiy for first pick
15% Probability for second pick
____________________________________________________________ I hope this helps. If it is incorrect, comment that, and I will see what U messed up. I hope I helped. :D
Answer:
12
Step-by-step explanation:
Since a circle is 360 degrees all you do is 360/30 since that's the angle of your original "piece" which would get you 12 pieces
