Answer: (3y - 5) • (2y - 3)
Step-by-step explanation: 6y2 - 10y - 9y - 15
2.1 Factoring 6y2-19y+15
The leading term is 6y2, with a coefficient of 6.
The middle term is -19y, having a coefficient of -19.
The last term is the constant, which is +15.
Given that,
Julia completes a 20-mile bike ride in 1.2 hours.
The distance Julia covers is 20 miles and her time taken is 1.2 hours.
Therefore, Julia's speed = 
= 16.67 mph
Katie finishes the same 20-mile ride in 1.6 hours.
Katie’s distance is 20 miles and her time is 1.6 hours.
Hence, Katie's speed = 
= 12.5 mph
To determine how much faster Julia rides compared to Katie, subtract Katie’s speed from Julia’s speed.
Thus, 16.67 mph minus 12.5 mph equals 4.17 mph, approximately 4.2 mph.
Consequently, Julia cycles 4.2 mph faster than Katie.
Answer:
5 miles in total
Step-by-step explanation:
Given:
Time spent driving = 10 min = 10 / 60 = 1/6 hour
Duration of stop = 5 min
Driving speed = 30 miles per hour
Find:
Complete distance
Computation:
Distance traveled = Speed × time
Distance = 30 × (1/6)
Total distance = 5 miles
The domain refers to all potential input values, specifically represented by the x-axis on a graph. Conversely, the range includes all possible output values, depicted along the y-axis.
The graph clearly extends horizontally from (-∞,∞) on the x-axis, indicating that its domain is (-∞,∞).
Similarly, it can be seen that the graph stretches vertically from (-∞,∞) on the y-axis, denoting that the range is also (-∞,∞).
This indicates the function includes an infinite array of values. Therefore, there are no limitations on either the domain or the range for this function.
Answer:
You need to purchase 3 shirts to be able to use your coupon.
Step-by-step explanation:
Each shirt originally costs $17.99.
There is a 20% discount on this specific brand of shirts.
$17.99 × 0.2 = $3.60 (discount per shirt)
Subtracting the discount from the original price:
$17.99 - $3.60 = $14.39 (price per shirt after discount)
To qualify for the $10 off coupon which requires a $40 minimum purchase:
$40 ÷ $14.39 ≈ 2.779, rounded up to 3 shirts
Therefore, you must buy 3 shirts.
3 shirts × $14.39 = $43.17, surpassing the $40 minimum needed to apply the $10 discount.
