Answer:
the domain for the function y=log(x+3) is (-3,oo).
Would you like me to help walk you through this with you figuring out the work?
Or would you prefer just an answer in math form with me explaining it along the way?
<span>h(t) = 80t – 16t^2
When you are on the ground we have zero height, h(t) = 0. This is saying that at some amount of time we will call t, the object will hit the ground. Now we solve for t to get that time
so we sub h(t) for 0.
0=80t-16t^2 move the -16t^2 to the other side
16t^2=80t divide both sides by t
16t=80 divide both sides by 16
t=5
Now... it is important to realize that there are going to be 2 answers to this equation as you have a t^2. The other answer is 0. Obviously, unless the object started on the ground, the time to hit the ground is not 0 and that answer is ruled out.
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Answer:
n(n+1)(n+5)/3
Step-by-step explanation:
there is no value, as we don't know n.
but we can create a summary formula/ function definition :
this is the sum for k = 1 to n of k×(k+3)
k×(k+3) = k² + 3k
so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.
and the sum of 3k is 3 times the sum of k for k=1 to n.
Σk² for k=1 to n = [n(n+1)(2n+1)]/6
Σk for k=1 to n = n(n+1)/2
3×Σk for k=1 to n = 3×n(n+1)/2
so, we have a function formula
n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =
= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3
Answer:
$4,523.40
Step-by-step explanation:
The cell phone cost is $124.65 per month. With 12 months in a year, we multiply $124.65 x 12 to get the answer $1,507.80. Since one year equals $1,507.80, we multiply this answer by 3 for 3 years to get $4,523.40. Thus three years of service with $124.65 a month would equal $4,523.40.
-1 > (x + 4) / 2....multiply both sides by 2, eliminating the 2 on the right
2 * -1 > x + 4
-2 > x + 4 ....subtract 4 from both sides
-2 - 4 > x
-6 > x or x < -6
graphed : open circle (because there is no equal sign)...on -6, shading to the left
