The next four terms in the sequence are a + 6, a + 10, a + 14, a + 18. This is because you are adding 4 to what is being done to “a” each time. If you look at the pattern, you’ll see that 4 is being added and the “a” stays the same.
Answer:
4.95+0.10x=120
Step-by-step explanation:
Hope this helps
a.
The polynomial w^2+18w+84 cannot be factored
The perfect square trinomial is w^2+18w + 81
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The reason the original can't be factored is that solving w^2+18w+84=0 leads to no real solutions. Use the quadratic formula to see this. The graph of y = x^2+18x+84 shows there are no x intercepts. A solution and an x intercept are basically the same. The x intercept visually represents the solution.
w^2+18w+81 factors to (w+9)^2 which is the same as (w+9)(w+9). We can note that w^2+18w+81 is in the form a^2+2ab+b^2 with a = w and b = 9
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b.
The polynomial y^2-10y+23 cannot be factored
The perfect square trinomial is y^2-10y + 25
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Using the quadratic formula, y^2-10y+23 = 0 has no rational solutions. The two irrational solutions mean that we can't factor over the rationals. Put another way, there are no two whole numbers such that they multiply to 23 and add to -10 at the same time.
If we want to complete the square for y^2-10y, we take half of the -10 to get -5, then square this to get 25. Therefore, y^2-10y+25 is a perfect square and it factors to (y-5)^2 or (y-5)(y-5)
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.
Answer:
The domain of function (m.n)x is same as domain of function m(x).
Step-by-step explanation:
Domain: Any set of input values for which the function is defined and valid.
m(x)=x+5/x-1
Domain of m(x) is x>1 or x<1, x≠1, because if x=1 the function will be undefined.
n(x) = x – 3
Domain of x -3 is -∞<x<∞ i.e all real numbers
(m.n)x = (x+5/x-1)(x-3)
= (x+5)(x-3)/x-1
The Domain of (m.n)x is x<1 or x>1 or x≠1 because the function is undefined for x=1
So, the domain of function (m.n)x is same as domain of function m(x).