Formula for slope (m) is:
(y2 - y1) / (x2 - x1)
Our points are (9, 11) and (3, 6).
Therefore we can determine:
y2 = 6
y1 = 11
x2 = 3
x1 = 9
Substitute these into the formula:
(y2 - y1) / (x2 - x1)
(6 - 11) / (3 - 9)
Solve:
(6 - 11) / (3 - 9)
-5 / -6
Reduce the fraction with -1:
Slope (m) = 5 / 6
Answer:
f(x + 1) = -(3/4)*f(x)
(second option)
Step-by-step explanation:
Here we have the sequence:
64, -48, 36, -27, ...
First, we can notice two things:
Each term has a different sign than the previous term, so the relation is something like:
f(x + 1) = -k*f(x)
Now to find the value of k, we can just replace some of the values (for example, the first and the second one)
-48 = -k*64
48/64 = k
3/4 = k
Now, if we use any pair of consecutive terms we should get the same value of k, now let's try to use the second and third terms to see if we get the same value of k:
36 = -k*(-48)
36 = k*48
36/48 = k
3/4 = k
We got the same value, so we can conclude that k = (3/4)
Then the relation that describes this sequence is:
f(x + 1) = -(3/4)*f(x)
Answer:
a = 0.
Step-by-step explanation:
2(a - 4) = 2a - 8 + 4a
2a - 8 = 2a - 8 + 4a
2a - 2a - 4a = -8 + 8
-4a = 0
a = 0.
Answer:
1. 28 − 3(x − 2) < 5x + 10 Given
2. 28 − (3)(x) + (-3)(-2) < 5x + 10 Distributive Property <em>a(b + c) = ab+ ac</em>
28 − 3x + 6 < 5x + 10
3. (28 + 6) - 3x < 5x + 10 Combine Like Terms
34 − 3x < 5x + 10
4. 34 - 3x + 3x < 5x + 3x + 10 Addition Property of Order
34 < 8x + 10
5. 34 - 10 < 8x + 10 - 10 Subtraction Property of Order
24 < 8x
6. 24/8 < 8x/8 Division Property of Order
3 < x
C i think that would be the answer
