Try factoring out a 2x from the first 3 terms in the question, like so:
![2x( x^{2} +2x-3)+9](https://tex.z-dn.net/?f=2x%28%20x%5E%7B2%7D%20%2B2x-3%29%2B9)
Now, you can factor the middle quadratic equation and you will have 3 factors plus the constant in the end (the +9). Hope this helps!
The line passes through points (0,0) and (7,4)
Gradient = (y2-y1)/(x2-x1) = (4-0)/(7-0) = 4/7
Answer:
Total price = $112.70
Step-by-step explanation:
Total price of all three items without tax = 4 + 94 + 6.35
= $104.35
Total price of all three items with tax = (100% + tax) * Price
= (100% + 8%) * 104.35 = 108% * 104.35
= 1.08 * 104.35 = 112.698
≅ $112.70
(2) Explain how to use estimation to check whether your answer is reasonable:
We can use estimation to check if a result is reasonable by plugging in the answer in the original equation.
E.g. x + 4 = 10; x = 10 - 4
We get that x = 6
Plug in x = 6 in x + 4 = 10.
6 + 4 = 10. Indeed the answer was a reasonable one.
Answer:
5 km.
Step-by-step explanation:
We have to calculate the distance if we apply the speed formula that would be the distance in a given time:
v = d / t
therefore, if we solve for distance it would be:
d = v * t
Now the speed is 6 km / h but the time must be calculated, it leaves at 9:15 and returns at 10:05, that is, there is no exact time but 50 minutes, one hour equals 60 minutes, therefore:
50 min * 1 h / 60 min = 0.833 h, that is, the child took 0.833 hours to get to school, now if we replace:
d = 6 * 0.8333
d = 5
In other words, the distance between the school and the house is 5 km.
Answer:
Its 2/9, sorry I can't show the explanation I have to do my work.
Step-by-step explanation: