Answer: 1) (-∞, -6) U (-3, ∞)
2) (-∞, -4) U (2, ∞)
3) (-∞, -3) U (8, ∞)
<u>Step-by-step explanation:</u>
Find the zeros. Since the a-value is positive, the curve will be positive to the left of the leftmost zero and to the right of the rightmost zero. + - +
←---|----|--→
1) y = x² + 9x + 18
y = (x + 3)(x + 6)
0 = (x + 3)(x + 6)
0 = x + 3 0 = x + 6 + -- +
x = -3 x = -6 ←------|-----------|--------→
-6 -3
Positive Interval: (-∞, -6) U (-3, ∞)
2) y = x² + 2x - 8
y = (x + 4)(x - 2)
0 = (x + 4)(x - 2)
0 = x + 4 0 = x - 2 + -- +
x = -4 x = 2 ←------|-----------|--------→
-4 2
Positive Interval: (-∞, -4) U (2, ∞)
3) y = x² - 5x - 24
y = (x + 3)(x - 8)
0 = (x + 3)(x - 8)
0 = x + 3 0 = x - 8 + -- +
x = -3 x = 8 ←------|-----------|--------→
-3 8
Positive Interval: (-∞, -3) U (8, ∞)
If the graph has exactly the same shape, and just moved up 3 units,
the equation of this new graph is
f(x) = x² + 3
Answer:
1/6, 2/3, and 3/4
<em>I hope this helps <3</em>
Answer:
The correct answer is the value of x is 4 and y is 1 respectively.
Step-by-step explanation:
The system of equations are −5x + 13y = −7 and 5x + 4y = 24.
To solve for x and y.
For solving we add both sides of the given system of equations.
∴ −5x + 13y + 5x + 4y = 24 - 7
⇒ 17y = 17
⇒ y = 1
⇒ x = 4
Thus the values of x and y are 4 and 1 respectively.
