Approximate the real zeros of f(x) = x2 + 3x + 1 to the nearest tenth
<u>C. 2.6,-0.4</u>
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Answer:
<u>Part 1</u>
<u>Sideways or "horizontal" parabola</u> with a horizontal axis of symmetry.
<u>Part 2</u>
The vertex is the turning point: (-3, 1)
<u>Part 3</u>
Vertex form of a horizontal parabola:
where:
- (h, k) is the vertex
- a is some constant
If a > 0 the parabola opens to the right.
If a < 0 the parabola opens to the left.
Point on the curve: (-1, 2)
Substituting the vertex and the found point into the formula and solving for a:
<u>Part 4</u>
Equation for the given parabola in vertex form:
Equation in standard form:
Summary of problem.
annual production = 60000 units
work hours per worker = 200*12=2400 hours
productivity = 0.15 unit / person-hour
Need to calculate the number of workers/persons employed.
Each unit requires 1 unit / 0.15 unit/person-hour
= 1/0.15 person-hours / unit
60000 unit requires 60000 units * 1/0.15 person-hours/unit
= 400000 person-hours
400000 person-hours requires 400000 person-hours /2400 hours = 166.7 persons
=>
The plant has 167 labourers (assuming perfect attendance).
Answer:
9 g/cm³
Step-by-step explanation:
density = mass/volume
d = 81/9
d = 9 g/cm³
Answer:
s√3
Step-by-step explanation:
Draw in the diagonal of the base, which is the line freom G to F. If the side length of this cube is s, then the length of this diagonal is
d = √(s² + s²) = (√2)s.
Now draw in the diagonal of the cube: draw a line segment from G to B. We have already found that the length of the diagonal GF is d = s√2. Apply the Pythagorean Theorem to the triangle whose sides are s√2 and s:
diagonal of cube = square root of the sum of the squares of s√2 and s:
= √(2s² + s²)= √(3s²) = s√3
