Answer:
{-1, 1/2, 2/3, 1}
Step-by-step explanation:
I find a graphing calculator to be a most useful tool for problems like this. (See attached.)
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First of all, observe that the constant is -2, so 0 is not a zero.
It is often useful to look at the sum of coefficients. Here, that is 0, indicating 1 is a zero.
You can divide that out, or simply continue by looking at the sum of coefficients with odd-degree terms negated. Then you have 6 +7 -4 -7 -2 = 0, indicating -1 is also a zero.
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At this point, it can be useful to divide out the factors you know. The synthetic division tableaus attached show that work. First is division by (x+1), then by (x -1).
The result of doing that is the quadratic ...
6x^2 -7x +2 = 0
This can be factored ...
(6x^2 -3x) -(4x -2) = 0 . . . . . . rewrite -7x and group term pairs
3x(2x -1) -2(2x -1) = 0 . . . . . . . factor each pair
(3x -2)(2x -1) = 0 . . . . . . the factorization of the remaining quadratic
The zeros of this are the values of x that make the factors zero: 2/3 and 1/2.
The zeros of the given function f(x) are x ∈ {-1, 1/2, 2/3, 1}.
Answer:
f(5) = 4375
Step-by-step explanation:
Given f(n) = 5f(n - 1) and f(1) = 7
This allows us to find the next term in the sequence from the previous term
f(2) = 5f(1) = 5 × 7 = 35
f(3) = 5f(2) = 5 × 35 = 175
f(4) = 5f(3) = 5 × 175 = 875
f(5) = 5f(4) = 5 × 875 = 4375
Answer:
no bro that's a bad idea
Step-by-step explanation:
Answer:
he stopped 71% of goals
Step-by-step explanation:
Part A:
With the given clues, let the digits of the 5-digit number be: abcde
i) Since, the number consists of 3 different digits, it means that either two of digits are repeated twice each or one of the digit is repeated thrice.
Then the digits could be: abbcc or abccc
ii) Since all digits are even numbers greater than 0, this means that the possible digits are 2, 4, 6 and 8.
iii) Since the value of the ones digit is 1/10 the value of the tens unit, this means that the tens place and the ones place have the same digit.
Thus, the number could be: abbcc
iv) Since the value of the tenth digit is 10 times the value of the 100th digit, this means that the required number has a decimal point and the first two digits after the decimal point are the same.
Thus, the number could be: abb.cc
v) Since the sum of the tenth digit and the hundredth digit gives you the hundreds digit. Recall that the tenth digit and the hundredth digit are the same.
Thus, the possible value for the tenth, hundredth and hundreds digits respectively are: 2, 2, 4 or 4, 4, 8
vi) Since the sum of the tens digit and the ones digit gives you the tenth digit. Recall that the tens digit and the ones digit are
the same.
Also, recall that the possible value for the tenth digit from condition (v) is 2 or 4. Then the value of the tens and ones digits is 2 while the value of the tenth digit is 4.
Having applied all the above conditions, therefore, the required 5-digit number is 822.44
Part B:
We know that the number we got in part A above is the only five digit number that satisfy the clues because, there is no other combination of digits that satisfies the given clues.
