Answer:
x f(x) g(x)
-2 6 1/9
-1 10 1/3
0 14 1
1 18 3
2 22 9
Step-by-step explanation:
Model for a linear function:
f(x) = ax + b
Using the points (-2, 6) and (0,14), we can find the values of a and b:
6 = -2a + b
14 = 0a + b
b = 14
From the first equation:
6 = -2a + 14
2a = 8
a = 4
So we have that f(x) = 4x + 14
Now we find the values of f(x) for x = -1, x = 1 and x = 2:
f(-1) = -4 + 14 = 10
f(1) = 4 + 14 = 18
f(2) = 8 + 14 = 22
Model for exponencial equation:
g(x) = a*b^x
Using the points (-2, 1/9) and (-1,1/3), we can find the values of a and b:
1/9 = a*b^(-2)
1/3 = a*b^(-1)
Dividing the second equation by the first, we have:
b = (1/3) / (1/9) = 3
From the second equation:
1/3 = a * b^(-1)
1/3 = a * 1/3
a = 1
So we have that:
g(x) = 3^x
Now we find the values of g(x) for x = 0, x = 1 and x = 2:
g(0) = 3^0 = 1
g(1) = 3^1 = 3
g(2) = 3^2 = 9
For the first question, the chance of rolling a six is a 1/6 chance because there is one six and six different sides that could be rolled. As a percent, it would be 16.6 %. The probability of rolling an odd number on the second roll would be a 3/6 chance, which as a percent is 50 %. For the second question, both probabilities are 33 % because in both instances you are drawing three cards from nine total, so it would be 3/9. For the third question, the probability of drawing a blue marble is 3/5, because there are three blue marbles and five total marbles. As a percent, this is 60 %. Following this up with a green marble would be 2/4, because there are now 2 green marbles and four total marbles. One of the marbles was not replaced, so we have one less marble. 2/4 as a percent is 50%.
Answer:
37.68 cm
Step-by-step explanation:
3.14 * 12 = 37.68
Hope this helps!
<em>please mark brainliest!!!!!</em>
Your answer should be 148! (Keep in mind that slope = change in y/ change in x.) Hope I helped!
Answer:
Tasha made her mistake in step 4.
