A + 3 ≥ 2a. a ≤ -1b. a ≥ -1c. a ≥ 1d. a ≥ 5

Mathematics

1 answer:

Mazyrski [523]2 years ago

4 0

A + 3 ≥ 2

Subtract 3 from both sides.

a ≥ -1

You might be interested in

4. The reflecting dish of a parabolic microphone has a cross-section in the shape of a parabola. The microphone itself is placed

elixir [45]

Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30) The x-intercepts or zeros are at (-30,0) and (30,0)

The equation of such parabola would be:
$y = a(x+30)(x-30)$
Plug in vertex to find value of 'a'
$-30 = a(0+30)(0-30) \\ \\ a = \frac{-30}{(-30)(30)} = \frac{1}{30}$

Now find the focus given that $p = \frac{1}{4a}$
$p = \frac{1}{4(1/30)} = \frac{30}{4} = 7.5$

Answer: the microphone should be placed 7.5 inches from vertex.

8 0

2 years ago

I need help please on this

Free_Kalibri [48]

Draw
Left side:
(1)Square=1 (1)Triangle=5 (1)Circle=6
1+5=6+6=12
Right side: (2)Circle=6
6+6=12

5 0

2 years ago

An algebra class has 16 students and 16 desks. For the sake of variety, students change the seating arrangement each day. How ma

sineoko [7]

Answer: a) 2092278989 b) 576, c) $\dfrac{576}{2092278989}$