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:
60 ; 5220
Step-by-step explanation:
A) From the horizontal bar chart provided, it could be inferred that 85 people spell the word 'weird' correctly. The graph is scaled on a fixed interval of 10. Hence, the midpoint of 10 = 5
(80 + 5) = 85
B) In a group consisting of 8719 randomly selected people estimate how many more people can correctly spell weird than inoculate
From the graph :
85 per 100 could spell weird correctly while,
About 25 per 100 could spell inoculate correctly.
Difference In number per 100 people
(85 - 25) = 60 people per 100
We could round 8719 to the nearest 100 = 8700
Number of 100's in 8700 = 8700/100 = 87
(87 × 60) = 5,220 people
Answer:
16
Step-by-step explanation:
please mark me brainliest and 5 star
4 is equal to 2*2 (double the 2 is 4)
If the slope of line C is -4, the slope of line D, which is perpendicular to C, is the negative reciprocal of the slope of C: -( 1 / (-4) ), or +1/4.
Note how 1/4 is the native reciprocal of -4, and that -4 is the negative reciprocal of 1/4.
The slope of line D is 1/4.
