(−2a^2b) • (4a^5b^2)
-2 *4 * a^2 * a^5 * b*b^2
multiply the numbers add the exponents
-8 a^6 b^3
Hello!
y = abˣ
We know that at x = 0, b = 1 because any number to the power of 0 = 1.
Therefore:
13 = a(1)
13 = a
Now, plug in this value to solve for b:
y = 13bˣ
Substitute in the next point:
416 = 13(b)⁵
Divide both sides by 13:
32 = b⁵
Take the 5th root of both sides:
2 = b
Rewrite:
y = 13(2)ˣ
Answer:
4-(-7)
The distance, as counted on the number line is 11
Step-by-step explanation:
4-(-7) = 11 true
|-7+4| = 3 false
4+(-7) = -3 false, distances can never be negative
Answer:
56 gallons of gasoline
Step-by-step explanation:
So, we have 1792 miles to cover, and we need to know how much gallons we need to make that trip.
1 ) First, we need to figure out how much one gallon covers, find the unit rate.
- 416 (miles) divided by 13 (gallons)= 32 (miles)............ One gallon fuels 32 miles of travel.
2) Next, we need to find how many gallons are needed for 1792 miles. That means we use the 32 we just found to replace the gallon in our division problem because it is in the same unit of measurement as the 1792.
- 1792 (miles) divided by 32 (miles) = 56 (gallons)..... The answer is 56 gallons.
