A U B = {1, 2, 3, 4, 5, 6, 7}
Step-by-step explanation:
- Step 1: Find A U B. Union of two sets A and B are the set of all elements in set A and set B.
A = {1, 2, 5, 7} and B = {3, 4, 6, 7}
A U B = {1, 2, 3, 4, 5, 6, 7}
Answer:
(h,k) shows the coordintes of the turning point.
Answer:
Irrational.
Step-by-step explanation:
Rational means that it is a whole number and can be written as a fraction. That doesn't apply for square rooted numbers. So, 
is irrational.
Answer:
{0, 10, 42}
Step-by-step explanation:
<em>Domain is set of input values and range is set output values.</em>
For the function f(x) = 2x² - 8 and domain set of {-2, 3, 5}
<u>Range is:</u>
- f(-2) = 2(-2)² - 8 = 0
- f(3) = 2*3² - 8 = 10
- f(5) = 2*5² - 8 = 42
<u>Range:</u> {0, 10, 42}
Answer:
1.6 times or 60% more than
Step-by-step explanation:
The question seems to be asking about the growth factor in the given exponential function.
<h3>Exponential function</h3>
A generic exponential function will have the form ...
quantity = (initial value) × (growth factor)^(number of intervals)
Comparing this form to the given formula ...
f(x) = 58 × 1.6^x
we see the "growth factor" is 1.6. This is the multiplier from one interval (year) to the next.
Each year the expected number of birds is <u><em>1.6 times</em></u> the number the year before.
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Additional comment
A <em>growth factor</em> is sometimes expressed in terms of a <em>growth rate</em>, usually a percentage.
growth factor = 1 + growth rate
1.6 = 1 + 0.60 = 1 + 60%
The growth rate of this bird population is 60% per year. Each year, the population is <u>60% more than</u> the year before.
