The function is:
f ( x ) = 2 / ( x² + 3 x - 10 )
x² + 3 x - 10 = x² + 5 x - 2 x - 10 = x ( x + 5 ) - 2 ( x + 5 ) =
= ( x + 5 ) ( x - 2 )
x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2
Answer:
The vertical asymptotes are: x = - 5 and x = 2.
Answer:
x < - 6
Step-by-step explanation:
Given
4x + 8 < 1 +(2x - 5) ← remove parenthesis
4x + 8 < 1 + 2x - 5, that is
4x + 8 < 2x - 4 ( subtract 2x from both sides )
2x + 8 < - 4 ( subtract 8 from both sides )
2x < - 12 ( divide both sides by 2 )
x < - 6
The length of GE is 10 units
Explanation:
Given that the length of XY = 5 units and YZ = 4.6 units
<u>The length of GE:</u>
We need to determine the length of GE
From the figure, we can see that ZY bisects GE and XY bisects EF.
The lines ZY and XY both bisect GF.
The midpoint theorem states that "the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side".
Since, we have,
EX = XF and X is the midpoint of EF
GY = YF and Y is the midpoint of GF
Since, XY is the line segment that connects the midpoints of the two sides of the triangle.
Applying the midpoint theorem, we have,
Thus, the length of GE is 10 units.
Answer:
$275
Step-by-step explanation:
So she put $60 into savings....
X is the amount of her paycheck...
after buying the clothes she had X-75
She spend (2/5)(x-75) on books
The amount deposited into saving and spent on groceries totals 120.
So
X = 75 + (2/5)(x-75) + 120
X = (2/5)(X-75) + 195
X = (2/5)X - 30 + 195
X = (2/5)X + 165
(3/5)X = 165
X = 165*5/3 = 5*55 = 275
Starts with 275
spent 75 on clothes, which makes it 200.
2/5 of 200 is 80, which makes it 120.
60 deposited into savings and 60 on groceries
Her paycheck was 275
