Answer:
2^1* 3^7
Step-by-step explanation:
8^-1 * 3^3/ 2^-4 * 9^-2
Negative exponents move from the numerator to the denominator or from the denominator to the numerator
2^4*9^2* 3^3 /8^1
Rewriting 9^2 as 3^2^2 = 3^4 and 8 = 2^3
2^4 * 3^3 * 3^4 / 2^3
2^4/ 2^3 = 2 and 3^3 * 3^4 = 3^(3+4) = 3^7
2* 3^7
Answer:
i. Time = 2 hours.
ii. Average speed for the whole journey = 25 km/h
Step-by-step explanation:
Distance from Antville to Beetleton = 60 km
Mr. Caterpillar's speed = 30 km/h
Speed = 
⇒ time = 
= 
= 2
time = 2 hours
It would take Mr. Caterpillar 2 hours to travel from Antville to Beetleton at that speed.
On his return journey, his average speed is 20 km/h. Therefore;
average speed for the whole journey = 
= 
= 25
average speed for the whole journey = 25 km/h
Answer:
y=2/7x+9
Step-by-step explanation:
Slope-intercept form is written y=mx+b.
y= also known as f(x), and is always by itself in slope-intercept form.
m= the slope.
x= the variable written to the right of the slope.
b= the y-intercept.
We know that the slope is 2/7 and the y-intercept in the equation is 9. Therefore, we can plug these numbers into the equation. So...
y=2/7x+9
is the correct equation written in slope-intercept form.
Hope this helps!! Have an amazing day (^人^)
Answer:

Step-by-step explanation:
Given

Required
Write the variables and constants on different sides

Add 2x to both sides


Add 5 to both sides



Hence, the equation is

Solving further [divide both sides by 5]
