Correct Answer: First Option
Explanation:
There are two ways to find the actual roots:
a) Either solve the given quadratic equation to find the actual roots
b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.
Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:
This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.
There is 100 centimeters in 1 meter.
Change the meter to centimeter. Multiply: 2 x 100 = 200
200 cm < 275 cm ∴ is greater by 75 cm
the answer is
30 x 5 + 9 x 5
Maximum weight the bridge can support in kilograms is 101696
Step-by-step explanation:
- Step 1: Given capacity of bridge = 100 British tons. Find how many kilograms are equivalent to 1 British ton.
1 British ton = 2240 pounds
1 pound = 0.454 kg
⇒ 1 British ton = 2240 × 0.454 kg = 1016.96 kg
- Step 2: Find how many kilograms are in 100 British tons.
⇒ 100 × 1016.96 = 101696
Let s represent number of shirts and h represent number of hats.
We have been given that the organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 each and hats for $8 each.
The cost of s shirts would be 
and cost of h hats would be 
. The cost of s shirts and h hats should be less than or equal to 1800. We can represent this information in an inequality as:
We are also told that organizers plan to buy at least 5 times as many shirts as hats. This means that number of shirts should be greater than or equal to 5 times hats. We can represent this information in an inequality as:
Therefore, the second inequality should be and option C is the correct choice.
