Answer:
As we see, the quadratic formula, which is a formula that is used to solve quadratic equations, can easily come up in real-life situations. ... A quadratic equation is an equation that can be put in the form ax2 + bx + c = 0, where the highest exponent is 2.Every parabola has an axis of symmetry which is the line that divides the graph into two perfect halves.
Like the ellipse the parabola and its applications can be seen extensively in the world around us. The shape of car headlights, mirrors in reflecting telescopes and television and radio antennae are examples of the applications of parabolas.arabolas have different features too. If a material that reflects light is shaped like a parabola, the light rays parallel to its axis of symmetry will be reflected to its focus, irrespective of where the reflection occurs. Conversely, if the light comes from the focus, it will get reflected as a parallel beam that is parallel to the axis of symmetry. These principles work for light, sound, and other forms. This property is very useful in all the examples seen in the real world.
The answer is Yes, this is a valid inference because he took a random sample of the neighborhood. Hope it help!
Answer:
1a) 25, 1b) 3, 2a) 14, 2b) 4
Step-by-step explanation:
1a)
x/5 + 10 = 15
Subtract 10 from both sides:
x/5 = 15 - 10
x/5 = 5
Multiply both sides by 5:
x = 5 * 5
x = 25
1b)
25x + 26 = 101
Subtract 26 from both sides:
25x = 101 - 26
25x = 75
Divide both sides by 25:
x = 75/25
x = 3
2a)
Four less than a number is 10.
Let's call the number x. This means:
x - 4 = 10
Now add 4 to both sides:
x = 10 + 4
x = 14
2b)
The product of three and a number equals 12.
Let's call the number x. This means:
3 * x = 12
Now divide both sides by 3:
x = 12/3
x = 4
Sub x = 2-y^2 to Q, we get:
Q = 3(2-y^2)*y^2
let y^2 = k
Q = 3(2-k)k = 3(2k-k^2)
2k-k^2 has a max when k = 1
Then y^2 = 1 -> y = 1 or -1
