Answer:
The answer is B.
Step-by-step explanation:
The question ask us to find an equation for the cost of a fill-up and a car wash. Firstly, we have to form 2 coordinates from the table and find the gradient :
Let Tank Size be x and Total Cost be y,
Any 2 coordinates,
Let (11,21.45) be (x1,y1) & (15,28.25) be (x2,y2),
m = (28.25-21.45)/(15-11)
= 6.8/4
= 1.7
You can form equation using slope-form, y = mx+b, then substitute m value and any coordinates into the equation :
Let m= 1.7 & (17,31.65),
y = mx + b
31.65 = 1.7(17) + b
31.65 - 1.7(17) = b
b = 2.75
y = 1.7x + 2.75
9 I think, soo sorry if i'm wrong...
Answer:
Step-by-step explanation:
Each bag of popcorn costs $8
Each pretzel costs $3.25.
- The total cost of b bags of popcorn =$8*b=$8b
- The total cost of p pretzels purchased =$3.25*p=$3.25p
Skylar has a total of $80 to spend on both items. This means that she can either spend less than or exactly $80.
i.e Total Cost 
Skylar's Total cost on popcorns and pretzels =8b+3.25p
Therefore:
Therefore, an inequality that would represent the possible values for the number of bags of popcorn purchased, b, and the number of pretzels purchased, p will be:
Answer:
5r^3 + 4r^2 - 8r + 16
Step-by-step explanation:
(8 + 5r^3 - 2r^2) - (8r - 8 - 6r^2) =
The first set of parentheses is there just to show you that what is inside is a polynomial. The second set of parentheses has a second polynomial inside. The subtraction sign just to the left of the second set of parentheses shows that you are subtracting the second polynomial from the first one.
The first set of parentheses is not needed and can be dropped.
You are subtracting the second polynomial fromt he first one, so you can think of the the subtraction sign as a -1, and you need to distribute the -1 by the second polynomial, That will result in all signs inside the second set of parentheses changing.
Below, just the first set of parentheses is removed.
= 8 + 5r^3 - 2r^2 - (8r - 8 - 6r^2)
Now, we change every sign inside the second set of parentheses by distributing -1.
= 8 + 5r^3 - 2r^2 - 8r + 8 + 6r^2
Now we need to combine like terms. Like terms have the same variable part. We can rearrange the terms grouping like terms together before combining them. Also, it is customary to list the terms in descending order of degree.
= 5r^3 - 2r^2 + 6r^2 - 8r + 8 + 8
Now we combine like terms.
= 5r^3 + 4r^2 - 8r + 16
Answer: ( x - 1 ) ( x + 4 ) = 0.
Step-by-step explanation:
Let's see 1. To make this equal to zero you write x - 1 where you substitute 1 in x.
Again let's see -4. To make it equal to zero, you write x + 4 where you substitute -4 in x.
So, this results in ( x - 1 ) ( x + 4 ) = 0
