3x^2 - 7x + 12 = 0 ....subtract 12 from both sides
3x^2 - 7x = -12 ....divide both sides by 3 to get x^2 by itself
x^2 - 7/3x = -4
His work is not accurate because he divided the second term by 4 instead of 3.
Answer: After 3 hours both will have the same cost.
Step-by-step explanation:
Let x = Number of hours and y be the total cost.
Total cost = Initial cost + (cost per hour)(Number of hours)
At Mike's Bounce Shop,
Total cost (y)= 30+2x
At Jose's Bounce Rentals,
Total cost(y) = 12+8x
When both shops have the same cost, then
Total cost = 12+8(3)=12+24=$36
Hence, After 3 hours both will have the same cost.
Answer:
A
Step-by-step explanation:
One easy way to determine if a coordinate is a function or not is to look at the number in the x's place only. There should not be the same number on the x's side for a different pair.
Every pair has a different number on the x's side, which is why A is the only possible answer.
Let's create this right triangle. We will call it triangle ABC with angle B as the right angle, angle A being the larger of the angles A and C. If the ratio is 5:4, then it is A:C. 5+4 = 9. The measure of the right angle, angle ABC = 90, and 90 divided by 9 is 10. So angle A is 5 * 10 which is 50 degrees, and angle C is 4 * 10 which is 40 degrees. The smallest angle, angle C, is 40 degrees.
If you look at the sequence, you would observe:
5 - 2 = 3, 8 - 5 = 3, 11 - 8 = 3.
There is a common difference of 3, so the sequence is an Arithmetic Progression.
nth term of an AP = a + (n - 1)d
where a = 1st term = 2, d = common difference = 3
nth term of an AP = a + (n - 1)d
nth term of an AP = 2 + (n - 1)*3 = 2 + 3*n - 3*1 = 2 + 3n - 3
= 2 - 3 + 3n
= -1 + 3n
= 3n - 1
The nth term = 3n - 1, where n = 1, 2, 3, 4, 5,....
I hope this explains it.
