9514 1404 393
Answer:
- a) 7
- b) -27
- c) 18
- d) 8
- e) 2
- f) 1
Step-by-step explanation:
The limit of any polynomial function at a point is the value of the polynomial at that point. A polynomial is defined and continuous for all values of the independent variable.
The limit of a rational function at a "hole" is the value of the simplified function at that point.
1a) lim = 4+3+2-2 = 7
1b) lim = (3)(-3)(3) = -27
1c) lim = 3^2+9 = 18
1d) lim = (x+4) = 4+4 = 8
1e) lim = 3x+1 = 3(1/3) +1 = 2
1f) lim = x^2/x^2 = 1
_____
The expressions of (e) and (f) can be simplified by factoring the difference of squares: a^2 -b^2 = (a -b)(a +b). In each case, one of the factors cancels the one in the denominator, so the remaining function can be evaluated at the limit point.
As x approaches infinity, the only terms of a rational expression that matter are those of the highest degree in numerator and denominator. (There's a little more to it if the numerator has a higher degree than the denominator.)
The distribution of the pants and the shirts illustrates probability
The probability that he winds up wearing the white shirt and tan pants is 1/8
<h3>How to determine the probability?</h3>
The number of shirts is given as:
Shirts = 4
The number of pants is given as:
Pants = 2
The probability that he winds up wearing the white shirt and tan pants is then calculated as:
P = P(White shirt) * P(tan pant)
This gives
P = 1/4 * 1/2
Evaluate the product
P = 1/8
Hence, the probability that he winds up wearing the white shirt and tan pants is 1/8
Read more about probability at:
brainly.com/question/251701
The full sequence from 3 to 21 is...
3, 5, 7, 9, 11, 13, 15, 17, 19, 21
Now first add 3 and 5 to get 8. Then 8 and 7 to get 15. After, add 15 and 9 to get 24 and furthermore.
(24+11=35 --> 35+13=48 --> 48+15=63 --> 63+17=80 --> 80+19=99 --> 99+21=120)
So I believe the sum of the sequence is 120
I hope this helps!
f(x) = 2(x^2 + 14x + ) - 5 2 is taken out of first 2 terms.
f(x) = 2(x^2 + 14x + (14/2)^2 ) - 5 - 2(14/2)^2
<em><u>2 steps </u></em>
- Inside the brackets: Linear term's coefficient (14) divided by 2 and squared
- Outside the brackets: (14/2)^2 multiplied by 2 and subtract so that there is no change in the value of the quadratic.
f(x) = 2*(x + 7)^2 - 103
The graph is of the original quadratic.
Answer:
Step-by-step explanation:
volume of concrete=162×12×4/12=648 ft³