if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation
now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.
well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys
-4------------(-1)------------2
so the vertex is at x=-1, namely the axis of symmetry is x = -1.
<h3>
Answer: x = 6</h3>
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Work Shown:
Those are the possible solutions, but plugging x = -14 back into the original equation will lead to an error. So we rule x = -14 out
x = 6 works as a solution however
The maximum amount of supplies that the storage unit can hold is 28 ft³
<h3>How to calculate the volume of a rectangular prism?</h3>
For us to calculate the volume or amount of space in Evan's prism, we will first of all calculate the volume of rectangular prisms. Formula is;
V = Length × width × height.
We are given;
length = 4 feet
width = 3.5 feet
height of the prism = 2 feet.
Thus;
V = 4 * 3.5 * 2
V = 28 ft³
Thus, the maximum amount of supplies that the storage unit can hold is 28 ft³
Read more about Volume of Rectangular Prism at; brainly.com/question/4062480
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Let x be the number you want to find
435= x times 25 times 3
435= 75x
X= 435/75 =5.8 (ans)
X+y=23
X-y=7.4
X+y=23
y=23-X
X-y=7.4
(23-y)-y=7.4
23-2y=7.4
-2y=-15.6
Y=7.8
X+y=23
X+7.8=23
X=15.2
Therefore the two numbers are 7.8 & 15.2
