Answer:
The answer is 9.
Step-by-step explanation:
6x - 2 < 5x + 7
6x - 5x < 7 + 2
x < 9
Answer:
-44.9
Step-by-step explanation:
-8(2.2) = -17.6
3(-9.1) = -27.3
-17.6 + (-27.3) = -44.9
:)
Answer:
D. f(x) = -6x^3 -5x^2 +21x
Step-by-step explanation:
The given zeros mean the function has factors ...
(x -(-7/3))(x -3/2)(x -0)
Multiplying by 6, we can write this as ...
(3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x
And multiplying by -1 gives ...
-6x^3 -5x^2 +21x . . . . . matches choice D
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<em>Additional comment</em>
The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).
Answer:
6,265 votes
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?
Given that :
Ratio of yes votes to no votes = 5 to 7
Yes votes : no votes = 5 : 7
Total votes = 10,740
The actual number of yes votes and no votes can be obtained thus :
Sum of ratio = (5 + 7) = 12
(ratio of vote / sum of ratio) * total votes
Number of no votes :
(Ratio of no votes / total ratio) * total votes
(7 / 12) * 10,740
0.5833333 * 10,740
= 6,265 votes
Number of no votes = 6,265 votes.
The value of x is 5 by using external angle