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.
Answer:
10.50x+11.90y=178.50
Step-by-step explanation:
x = represent the number of hours worked stocking shelves
y= represent the number of hours worked in sales.
You earn $11.90 per hour as a salesperson = 11.90y.
You earn $10.50 per hour stocking shelves =10.50x.
Your combined earnings this month are $178.50.
10.50x+11.90y=178.50
The required equation model the situation is 10.50x+11.90y=178.50
Answer: The answer is 9x-8y²+4y+34
Step-by-step explanation: Since the equation is 12x+4y-3x+2-8y^2 + 32
1. combine like terms so- combine 12x-3x= 89x
2. look for other like terms- 2+32= 34
3. since 8y^2 and 4y are not the same you can combine them
4. put them all together- 9x-8y^2+4y+3
That's you answer. Hope this helped
Answer:
x = -1/2
Step-by-step explanation:
This question can be solved by applying the laws of indices
In a^n, a - base
n - index
Given
9^x = 1/3
According to the laws of indices, a/b = b^(-a)
Hence we can write, 1/3 = 3^(-1)
9^x = 3^(2x)
Again according to the laws of indices,
a^b = a^n can be written as;
b = n
That is, if in an equation the bases are the same, the indices are also equal.
So we can write,
3^(2x) = 3^(-1)
2x = -1
Divide both sides of the equation by 2, the coefficient of x
2x/2 = -1/2
x = -1/2
