The correct answer for this question is "<span>(3x - 1)(x + 1).</span><span>"</span>
This is how to factor the given polynomial:
<span>3x2 + 2x - 1
</span><span>(3x - 1) (x + 1)
It takes trial and error in order to get the final factor of a given polynomial. It has to be exact and correctly done.</span>
Answer: her speed on the bicycle is 8 mph
Step-by-step explanation:
Let x represent the speed at which she walks. If she rides 6 mph faster than she can walk, then the speed at which she rides is (x + 6) mph
Distance = speed × time
Eli walk from her house to a friends house in one hour. This means that the distance covered is 1 × x = x miles.
Distance on her bicycle in 15 minutes. Converting 15 minutes to hours, it becomes 15/60 = 0.25 hour. Distance covered while riding is 0.25(x + 6) = 0.25x + 1.5
Since the distance is the same,then
x = 0.25x + 1.5
x - 0.25x = 1.5
0.75x = 1.5
x = 1.5/0.75
x = 2
her speed on the bicycle is
x + 6 = 2 + 6 = 8 mph
The total surface area of a cylinder is given by the formula
Given diameter, d=12meters, we will solve for radius
The height is given as 9meters
Substituting for r and h in the formula will give
Hence the surface area of the cylinder is 565.2m²
Answer:
= 8 × 8 sq. cm. = 64 sq. cm.
answer 64 sq
Ray wants to buy an item worth 500$ in the most cost-effective way. Let's study each of the 3 cases and see with option is the best.
In the first option, he'll buy the item at list price with a coupon for $10 off. So he'll buy it at 500-10 =$490.
In the second option, he'll buy a membership for $35 and then get the item at a 15% discount. With a 15% discount, the price of the item will be 500 - (500*0.15) = 500 - 75 = $425. And with the membership price, he'll pay a total of 425 + 35 = $460.
The third option is to buy the item online at a 10% discount and pay $4 for the shipping. At 10% discount, the price of the item will be 500 - (500*0.1) = 500 - 50 = $450. And with cost of the shipping, he'll pay a total of 450+4 = $454.
So if he chooses the first option, he'll pay $490. With the second, he'll pay $460. And finally with the third, he'll pay $454.
So the third option is the most cost-effective, buying the item at $454.
Hope this helps! :)
