Remember, you can do anything to an equation as long as you do it to both sides
and when multiply or divide by a negative in inequalities, flip the direction of the sign
12x-39<9
add 39 to both sides
12x<48
divde bothh sides by 12
x<4
-4x+3<-6
minus 3 both sides
-4x<-9
times both sides by -1 and flip sign
4x>9
divide both sides by 4
x>9/4
Well, i have the answer to your question:
dealership A : 500 cash back , 5% tax
Becky : 15,000 + 0.05(15000) - 500 = 15,000 + 750 - 500 = 15,250
Michele : 20,000 + 0.05(20,000) - 500 = 20,000 + 1000 - 500 = 20500
dealership B : 1000 cash back, 8% tax
Becky : 15,000 + 0.08(15,000) - 1000 = 15000 + 1200 - 1000 = 15,200
Michele : 20,000 + 0.08(20,000) - 1000 = 20,000 + 1600 - 1000 = 20600
1. Becky will get the better deal at dealership B.....she saves 50 bucks
2. Michele will get the better deal at dealership A...she saves 100 bucks
Answer:
The zeroes are
and ![x=-5](https://tex.z-dn.net/?f=x%3D-5)
On the graph, each of these zeroes represent the x-value where the equation will intersect with the x-axis.
Step-by-step explanation:
We have the quadratic equation ![y=x^2+x-20](https://tex.z-dn.net/?f=y%3Dx%5E2%2Bx-20)
To factor this we need to find two numbers that fulfill the following:
They add up to 1
They multiply to give you -20
These two numbers are -4 and 5
This means that the quadratic equation in its factored form will be: ![y=(x-4)(x+5)](https://tex.z-dn.net/?f=y%3D%28x-4%29%28x%2B5%29)
Now that we have the factored form, we need to set
and solve for x
From this factored form, we can see that when
and
the result will be zero. Just to check we can plug in each of these x values
![(x-4)(x+5)=0\\\\(4-4)(4+5)=0\\\\0*9=0\\\\0=0](https://tex.z-dn.net/?f=%28x-4%29%28x%2B5%29%3D0%5C%5C%5C%5C%284-4%29%284%2B5%29%3D0%5C%5C%5C%5C0%2A9%3D0%5C%5C%5C%5C0%3D0)
![(x-4)(x+5)=0\\\\(-5-4)(-5+5)=0\\\\(-9)*(0)=0\\\\0=0](https://tex.z-dn.net/?f=%28x-4%29%28x%2B5%29%3D0%5C%5C%5C%5C%28-5-4%29%28-5%2B5%29%3D0%5C%5C%5C%5C%28-9%29%2A%280%29%3D0%5C%5C%5C%5C0%3D0)
The result of this confirms that x=4 and x=-5 are indeed the zeroes of this equation.
Each of these zeroes represent the x-value where the equation will intersect with the x-axis.