Answer:
y - value of the vertex is 49.
Step-by-step explanation:
Given function is f(x) = -(x - 3)(x + 11)
f(x) = -(x² - 3x + 11x - 33)
= -(x² + 8x - 33)
= -(x² + 8x + 16 - 49)
= -[(x + 4)² - 49]
= -(x + 4)² + 49
Comparing this equation with the vertex form of a quadratic function,
f(x) = -(x - h)² + k
Where (h, k) is the vertex of the function.
Vertex of the parabola is (-4, 49)
Therefore, y-value of the vertex is 49.
Answer:
The correct option is C. 14.
Step-by-step explanation:
First you have that the perimeter of a rectangle = (2·length) + (2·width)
⇒perimeter of a rectangle = [2·( x + 7)] + [2·(2x - 3)]
⇒ 32 = [2·( x + 7)] + [2·(2x - 3)] ⇒ 32 = (2x + 14) + (4x - 6)
⇒ 32 = 6x + 8 ⇒ 32 - 8 = 6x ⇒ 24= 6x ⇒ 24/6 = x ⇒ x = 4. ⇒ 3x= 12.
1st year 500* 0.03 = 15+500=515
2nd year 515*0.03= 15.45 + 515 = 530.45
3rd year 530.45*0.03= 15.9135 + 530.45 = 546.3635
4th year 546.3635 * 0.03 = 16.390905 + 546.3635 = 562.754405
562.754405
Answer:
10 blocks
Step-by-step explanation
check the image attached, the y coordinate of his school and house are the same that is, -2 so all we have to do is check the distance between x coordinates
that is , -7 and 3
distance between school and his house = 3 - (-7) = 10 blocks
