Quadratic f(x) = (x -h)² +k has vertex (h, k) and axis of symmetry x=h. When k is negative, the number of real solutions is 2, because both branches of the function cross the x-axis.
In your equation, h = -3 and k = -8.
Axis of symmetry: x = -3
Vertex: (-3, -8)
Number of real solutions: 2
Formula for area of parallelogram:
A= bh
Where b is the length of base and h is the height.
Here b=2.3+4.5 = 6.8 cm
and h= 4.5 cm
Put values in formula.
A= 6.8 x 4.5
A=30.6 cm²
Answer: 30.6 cm²
Answer:
30 mL
Step-by-step explanation:
Mr. Allen needs 100 mL of a solution that is
- 30% vinegar,
- 15% lemon juice,
- 55% water.
Thus, there are
of vinegar,
of lemon juice,
of water.
Answer: FALSE
<u>Step-by-step explanation:</u>
x⁵ + 0x⁴ - 4x³ + 2x² - 4x + 1
If x - 2 is a factor, then x =2 should result in a remainder of 0 when using synthetic division.
2 | 1 0 -4 2 -4 1
<u>| ↓ 2 4 0 4 0 </u>
1 2 0 2 0 1 ← Remainder ≠ 0 so x - 2 is NOT a factor
4/10 is 2/5 or 0.4 in decimal form.
