Well one similarity is that since you have to multiply, integer rules still apply and that you can also multiply variables. A difference is that with fractions, you have to make a number into an improper fraction rather than just the regular way which would most likely be the whole number with a decimal.
So, to factor out the equation x²+12x+35, first multiply the first and last numbers.
1×35=35
So, you need to find the multiples of 35 that add up to 12.
So, you find 7 and 5. These two numbers are the magic numbers that will be used as the correct factored form of x²+12x+35, because:
>7×5=35
>7+5=12
So, using these two numbers, you get your factored form as:
(x+5)(x+7)
Answer:
Average speed is distance/time. You could say, 12/6 = 2 miles per second and say that’s the answer, but we relate to mph so much better. Since there are 60 x 60 = 3600 sec in an hour, that same speed is:
2 x 3600 = 7,200 mph
No “car” can travel this fast. Some rocket cars have gone about 1/10th this speed.
Because the function f(x) =-2+√x+7 has √x, x should be more or equal 0.
Domain is x≥0, or [0,+∞).
The smallest value of x=0, so the smallest value of f(x) is f(0) =-2+√0+7=5,
so range is f(x)≥5, or [5, +∞).
