Answer: -1/343
Step-by-step explanation:
-7(-7)^-4
First, re-write as positive exponents:
-7(-1/7^4)
Next, simplify:
-1/7^3 (you can simplify using exponent rules)
Simplify 7^3 :
7(7)(7)
49(7)
343.
Insert to original expression:
-1/343.
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Answer:
Step-by-step explanation:
4). This is an exponential function.
5). Let the equation of this function is,
f(x) = a(b)ˣ
Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,
For (-1, 4),
4 = a(b)⁻¹
4 =
--------(1)
For (0, 6),
6 = a(b)⁰
a = 6
From equation (1),
4 = 
b =
= 1.5
Therefore, equation of the function will be,
f(x) = 6(1.5)ˣ
6). Now the value of f(-4) will be,
f(-4) = 6(1.5)⁻⁴
= 1.185
Answer:
EF, where E is at (1, 9) and F is at (2, 5)
Step-by-step explanation:
Slope = rise/run or y/x. In a coordinate, a point on a graph is represented as (x,y). When the slope is -4 (or -4/1), this means the y value will decrease (as it is negative) by 4 units, while the x value increases (as it is positive) by 1 unit. The line EF demonstrates the values (1, 9) and (2, 5). The difference between them is (1, -4) in (x, y) form.