Answer: See explanation (btw, the answer is always in bold letters)
Step-by-step explanation:
1.) 1 gallon for $1.99
1/2 gallon for $0.98
1 gallon would be 0.98 × 2 = <em>1.96</em>
2 gallons for $3.98
1 gallon would be 3.98 ÷ 2 = 1.99
2.) 621 ÷ 4 = 155.25
He pays $155.25 each payment!
3.) V = s³
s = 3
V = 3³
3 × 3 × 3 = 27
V = 27 m³
4.) This is a rectangle; the area of a rectangle is l × b.
L = 6.9
l × b = a
6.9b = 28.29
Divide both sides by 6.9
b = 4.1
The missing length is 4.1 m
5.) False
Answer:
31/458 or 458/31 you worded it confusingly
Step-by-step explanation:
Answer:
On the x- axis
Step-by-step explanation:
Answer:
![x=-2\\x=2](https://tex.z-dn.net/?f=x%3D-2%5C%5Cx%3D2)
(You only need to give one solution)
Step-by-step explanation:
We have the following equation
![(x^2+1)^2-5x^2-5=0](https://tex.z-dn.net/?f=%28x%5E2%2B1%29%5E2-5x%5E2-5%3D0)
First, we need to foil out the parenthesis
![x^4+2x^2+1-5x^2-5=0](https://tex.z-dn.net/?f=x%5E4%2B2x%5E2%2B1-5x%5E2-5%3D0)
Now we can combine the like terms
![x^4-3x^2-4=0](https://tex.z-dn.net/?f=x%5E4-3x%5E2-4%3D0)
Now, we need to factor this equation.
To factor this, we need to find a set of numbers that add together to get -3 and multiply to give us -4.
The pair of numbers that would do this would be 1 and -4.
This means that our factored form would be
![(x^2-4)(x^2+1)=0](https://tex.z-dn.net/?f=%28x%5E2-4%29%28x%5E2%2B1%29%3D0)
As the first binomial is a difference of squares, it can be factored futher into
![(x^2+1)(x+2)(x-2)=0](https://tex.z-dn.net/?f=%28x%5E2%2B1%29%28x%2B2%29%28x-2%29%3D0)
Now, we can get our solutions.
The first binomial will produce two complex (Not real) solutions.
![x+2=0\\\\x=-2](https://tex.z-dn.net/?f=x%2B2%3D0%5C%5C%5C%5Cx%3D-2)
![x-2=0\\\\x=2](https://tex.z-dn.net/?f=x-2%3D0%5C%5C%5C%5Cx%3D2)
So our solutions to this equation are
![x=-2\\x=2](https://tex.z-dn.net/?f=x%3D-2%5C%5Cx%3D2)
Answer: B.
Step-by-step explanation: This is because you can't possibly have an exponent, there are no two of the same value being multiplied together.