note that the zeroes should be x = 1 and x = - 2 not x = - 1 and x = 2
the factors are then ( x - 1 ) and (x + 2)
and x³ - 4x² - 7x + 10 = (x - 1 )(x + 2) = x² + x - 2
thus x² + x - 2 is a factor
dividing x³ - 4x² - 7x + 10 by x² + x - 2 gives x - 5
the third zero is x = 5
check : (5)³ -4(5)² - 7(5) + 10 = 125 - 100 - 35 + 10 = 0
from second equation y = 18-x so:-
x(18 - x) = 30
x^2 - 18x + 30 = 0
x = 16.14, 1.86
when x = 16.14 y = 18-16.14 = 1.86
when x = 1.86, y = 16.14
so one variable = 16.14 and the other = 1.86 Answer
The value of x so that lines s and t are parallel is 12
<h3 /><h3>How to find angles involving parallel lines?</h3>
The angle are alternate exterior angles.
Therefore, alternate exterior angle theorem states that when two parallel lines are intersected by a transversal, then the exterior angles formed on either side of the transversal are equal.
Hence,
7x - 20 = 4x + 16
7x - 4x= 16 + 20
3x = 36
x = 36 / 3
x = 12
Therefore, the value of x is 12.
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Answer:
12 dimes
Step-by-step explanation:
Let q represent the number of quarters. Then the number of dimes is 16-q and the total value is ...
0.25q +0.10(16 -q) = 2.20
0.15q +1.60 = 2.20 . . . . . . . simplify
0.15q = 0.60 . . . . . . . . subtract 1.60
q = 4 . . . . . . . . . . . divide by 0.15
16-q = 12
There are 12 dimes in the collection.
The answer is 240.5 hope you get the question