Answer: 9/20
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The linear function
One of the points is (0,5), so
f(0) = 5
The y-intercept is at (0,5).
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The exponential function
The general formula for an exponential function is
.
=====
Calculate the <em>value of b
</em>
y₃/y₂ = [a(b)³]/[a(b)²]
250/50 = b
b = 5
=====
Calculate the <em>value of a
</em>
250 = a(5)³
250 = a × 125
a = 2
=====

g(0) = 2(5)⁰
g(0) = 2 × 1
g(0) = 2
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|f(0) – g(0)| = |5 – 2|
|f(0) – g(0)| = 3
The positive difference in the y-intercepts of f(x) and g(x) is 3.
You can see the two y-intercepts on the graph below.
Answer:
5. 4
6. 2
8. 3
10.3
Step-by-step explanation:
|6-10| = |-4| = 4
(6+3)/3 = 3
<span>Let x = # of $1 bill, y = # of $5 bill, z = # of $10 bill, then there're 3 functions you can get:
(1). x + 5y + 10z = 96
</span><span>(2). x +1 = y + z
</span><span>(3). x + y + z =23
From (1), (2), get 6y + 11z = 97 (4)
From (2), (3), get 2y + 2z = 24 (5)
From (4), (5), get y = 7, z =5, plug these into (2) get x = 11</span>