Answer:
-0.4 or 2.3
Step-by-step explanation:
simple
each box is 0.1 unit
The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
<h3>How to determine the functions?</h3>
A quadratic function is represented as:
y = a(x - h)^2 + k
<u>Question #6</u>
The vertex of the graph is
(h, k) = (-1, 2)
So, we have:
y = a(x + 1)^2 + 2
The graph pass through the f(0) = -2
So, we have:
-2 = a(0 + 1)^2 + 2
Evaluate the like terms
a = -4
Substitute a = -4 in y = a(x + 1)^2 + 2
y = -4(x + 1)^2 + 2
<u>Question #7</u>
The vertex of the graph is
(h, k) = (2, 1)
So, we have:
y = a(x - 2)^2 + 1
The graph pass through (1, 3)
So, we have:
3 = a(1 - 2)^2 + 1
Evaluate the like terms
a = 2
Substitute a = 2 in y = a(x - 2)^2 + 1
y = 2(x - 2)^2 + 1
<u>Question #8</u>
The vertex of the graph is
(h, k) = (1, -2)
So, we have:
y = a(x - 1)^2 - 2
The graph pass through (0, -3)
So, we have:
-3 = a(0 - 1)^2 - 2
Evaluate the like terms
a = -1
Substitute a = -1 in y = a(x - 1)^2 - 2
y = -(x - 1)^2 - 2
Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
Read more about parabola at:
brainly.com/question/1480401
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Answer:
D
Step-by-step explanation:
First we need to figure out how many people are going on the field trip
if each class has 27 people going and there are 6 classes, 6*27=162
162 ppl are going. If 3 buses can hold 48 ppl then 3*48=144
3 buses are not enough, if we were to bring in one more bus 4*48=192
there would be enough place for everyone
Answer:
4 to 7 and 8 to 14
Step-by-step explanation:
We are given a triangle with sides corresponding to a, b and c. If this is a right triangle, then b being the longest side, the triangle's sides follow the Pythagorean theorem that states c2 = a2 + b2. In this case, the problem states <span>a2 + b2 < c2. we can assume values and use cosine law. theta then is greater than 90 degrees which is an obtuse angle. In this case, cos theta is negative. The conditions that apply are A, C and D</span>
