9^1/3 * 3^x = 27^4/5
Rewrite 9 as 3^2
(3^2)^1/3 * 3^x = 27^4/5
Multiply the exponents in the first term:
3^2/3 * 3^x = 27^4/5
Use power rule to combine exponents:
3^(2/3 +x) = 27^4/5
Rewrite the 2nd term:
3^(2/3 +x) = (3^3)^4/5
Set the exponents only to equal:
2/3 + x = 3(4/5)
Solve for x:
simplify the right side:
2/3 + x = 12/5
Subtract 2/3 from both sides:
x = 26/15
Answer:
a. 1.25 laps per min
b. .8 min per lap
c. 17.6 minutes
Step-by-step explanation:
Answer:
The answer to your question is the second choice (y ≥ 1/3x - 1)
Step-by-step explanation:
Process
1.- Find two points of the graph
A (0, -1)
B (3, 0)
2.- Find the slope
m = (0 + 1)/(3 - 0)
m = 1/3
3.- Find the equation of the line
y - y1 = m(x - x1)
y + 1 = 1/3(x - 0)
y + 1 = 1/3x
y = 1/3x - 1
4.- Find the equation of the inequality
We need the upper part of the line so the inequality must be
y ≥ 1/3x - 1
Answer:
D (210)
Step-by-step explanation:
120 times 1.75 equals 210
A.between 8 and 10 years of age,
<span>C.between 10 and 12 years of age
</span>
