Answer:
8. -3, 16
9. -3, 4.5
Step-by-step explanation:
See attached worksheet.
The set when z = -5 is {-27, -9, -5}
<h3>How to determine the set elements?</h3>
The set is given as:
{(4z-7,z-4,z) |z is any real number}
When z=-5, we have:
4z - 7 = 4(-5) - 7 = -27
z - 4 = -5 - 4 = -9
z = -5
So, we have:
{(4z-7,z-4,z) |z is any real number} ⇒ {-27, -9, -5}
Hence, the set when z = -5 is {-27, -9, -5}
Read more about sets at:
brainly.com/question/8053622
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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).
===============
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
=====
|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.
2,4,5
Multiply each side by 48, 24, and 60