The ordered pairs which lie on the graph of the exponential function, f(x) = 3(0.2)^x is; Choice A; (0, 3).
<h3>Ordered pair Solution;</h3>
The given exponential function is;
By testing all values; Only the pair; (0, 3) is a solution to the graph of the exponential given.
By testing;
- Where, (0.2)⁰ = 1 (from indices).
Read more on ordered pairs;
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Answer:
(2x + 3)(x - 7)
Step-by-step explanation:
Let A = {0,1,2,3,4,5}<br>B = {2,4,6,8}<br>C= {1,3,5,7}<br>Verity (AUB) UC=AU (BUC) <br>
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d) You have a <u>difference of squares</u>:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the <u>sum-product method</u>. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the <u>sum-product method</u>. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
