$5x^3=405x\ \ \ \ |-405x\\\\5x^3-405x=0\\\\5x(x^2-81)=0\iff 5x=0\ \vee\ x^2-81=0\\\\5x=0\ \ \ \ |:5\\\boxed{x=0}\\\\x^2-81=0\ \ \ |+81\\x^2=81\to x=\pm\sqrt{81}\to \boxed{x=\pm9}\\\\Answer:\ x=-9\ or\ x=0\ or\ x=9$

5 0

4 years ago

Read 2 more answers

Need help again, anyone??

Shalnov [3]

|x - 3| - 1 = 5

x - 3 - 1 = 5

x - 4 = 5

x = 9

-(x - 3) - 1 = 5

-x + 3 - 1 = 5

-x + 2 = 5

-x = 3

x = - 3

x = -3 , 9 matched the answers on the number line

Answer is B) |x - 3| - 1 = 5

6 0

3 years ago

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Liz runs 8 feet per second. Katie runs 350 feet in 31 seconds. Katie runs 350 feet in 31 seconds. Stephanie runs 1 mile in 388 s

VikaD [51]

Answer: Stephanie is the fastest

Step-by-step explanation:

Here we have to find who runs faster:

Liz:

$8 ft/s$

Katie:

$\frac{350 ft}{31 s}=11.29 ft/s$

Stephanie:

$\frac{1 mile}{388 s}. \frac{5280 ft}{1 mile}=\frac{5280 ft}{388 s}=13.60 ft/s$

Noah:

$\frac{541 ft}{1 min}. \frac{1 min}{60 s}=9.01 ft/s$

As we can see after comparing, Stephanie is the fastest, since she travels more distance in less time.

7 0

3 years ago