Answer: x = {-4, 5}
<u>Step-by-step explanation:</u>
log (10x + 200) = log (x²) + log (10)
log (10x + 200) = log (10x²)
10x + 200 = 10x²
0 = 10x² - 10x - 200
0 = x² - x - 20
0 = (x - 5)(x + 4)
0 = x - 5 0 = x + 4
x = 5 x = -4
Check for extraneous solutions:
10x + 200 > 0 x² > 0
x = 5 10(5) + 200 > 0 (5)² > 0 both are satisfied
x = -4 10(-4) + 200 > 0 (-4)² > 0 both are satisfied
Both solutions are valid!
Answer:
hbhbhbb dsvjv wenvwe
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the number of possible 5-card hands that contain the cards specified. The cards are taken from a standard 52-card deck.
5 red cards.
Ans: 26C5 = 26!/[21!*5!] = 65780
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4 spades and 1 card that is not a spade.
Ans: [13C4*39C1] = 27885
--------------------------------------------
3 face cards (kings, queens, or jacks) and 2 cards that are not face cards.
Ans: 12C3*40C2 = 171,600
============================
Answer:
A = 80 m^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base length and h is the height
A = 1/2 (16) *10
A = 80 m^2
