Answer:
(X+8)(x-10
Step-by-step explanation:
The middle number is -2 and the last number is -80.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -2
Multiply together to get -80Try 8 and -10:
8+-10 = -2
8*-10 = -80
Fill in the blanks in
(x+_)(x+_)
with 8 and -10 to get...
(x+8)(x-10)
If (a, b) is on the graph of f(x), then the point (b, a) must be on the graph of the inverse function f^-1(x).
<h3>Therefore your answer is d. (-2, 8).</h3>
These are two questions and two answers.
1) Problem 17.
(i) Determine whether T is continuous at 6061.
For that you have to compute the value of T at 6061 and the lateral limits of T when x approaches 6061.
a) T(x) = 0.10x if 0 < x ≤ 6061
T (6061) = 0.10(6061) = 606.1
b) limit of Tx when x → 6061.
By the left the limit is the same value of T(x) calculated above.
By the right the limit is calculated using the definition of the function for the next stage: T(x) = 606.10 + 0.18 (x - 6061)
⇒ Limit of T(x) when x → 6061 from the right = 606.10 + 0.18 (6061 - 6061) = 606.10
Since both limits and the value of the function are the same, T is continuous at 6061.
(ii) Determine whether T is continuous at 32,473.
Same procedure.
a) Value at 32,473
T(32,473) = 606.10 + 0.18 (32,473 - 6061) = 5,360.26
b) Limit of T(x) when x → 32,473 from the right
Limit = 5360.26 + 0.26(x - 32,473) = 5360.26
Again, since the two limits and the value of the function have the same value the function is continuos at the x = 32,473.
(iii) If T had discontinuities, a tax payer that earns an amount very close to the discontinuity can easily approach its incomes to take andvantage of the part that results in lower tax.
2) Problem 18.
a) Statement Sk
You just need to replace n for k:
Sk = 1 + 4 + 7 + ... (3k - 2) = k(3k - 1) / 2
b) Statement S (k+1)
Replace
S(k+1) = 1 + 4 + 7 + ... (3k - 2) + [ 3 (k + 1) - 2 ] = (k+1) [ 3(k+1) - 1] / 2
Simplification:
1 + 4 + 7 + ... + 3k - 2+ 3k + 3 - 2] = (k + 1) (3k + 3 - 1)/2
k(3k - 1)/ 2 + (3k + 1) = (k + 1)(3k+2) / 2
Do the operations on the left side and you will find it can be simplified to k ( 3k +1) (3 k + 2) / 2.
With that you find that the left side equals the right side which is a proof of the validity of the statement by induction.
A) Benny is 30 years old
B) I think Penny isn’t born yet
Answer:
Richmond, October 22, 1780.
Sir,
I have this morning received certain information of the arrival of a hostile fleet in our bay, of about sixty sail. The debarkation of some light-horse, in the neighborhood of Portsmouth, seems to indicate that as the first scene of action.We are endeavoring to collect as large a body to oppose them as we can arm: this will be lamentably inadequate, if the enemy be in any force. It is mortifying to suppose that a people, able and zealous to contend with their enemy, should be reduced to fold their arms for want of the means of defence. Yet no resources, that we know of, ensure us against this event. It has become necessary to divert to this new object, a considerable part of the aids we had destined for General Gates.We are still, however, sensible of the necessity of supporting him, and have left that part of our country nearest him uncalled on, at present, that they may reinforce him as soon as arms can be received. We have called to the command of our forces, Generals Weeden and Muhlenburg, of the line, and Nelson and Stevens of the militia. You will be pleased to make to these such additions as you may think proper.As to the aids of men, I ask for none, knowing that if the late detachment of the enemy shall have left it safe for you to spare aids of that kind, you will not await my application. Of the troops we shall raise, there is not a single man who ever saw the face of an enemy. Whether the Convention troops will be removed or not, is yet undetermined. This must depend on the force of the enemy, and the aspect of their movements.
I have the honor to be
your Excellency's most obedient,
Step-by-step explanation:
im am so sorry i honestly don't know this one
