Standard form is ax+by=c, we like a and b to be integers, we also like a to be positive
basically get x and y on one side
so
y-4=(3/4)(x+8)
distribte the 3/4
y-4=(3/4)x+6
minus 3/4x from both sides
-(3/4)x+y-4=6
add 4 to both sides
(-3/4)x+y=10
times both sides by -4
3x-4y=-40
Answer:
B. ab+ac=d
Step-by-step explanation:
A)
Exact Form:
−31/3
Decimal Form:
−10.33333
Mixed Number Form:
-10 1/3
b)
Exact Form:
17/12
Decimal Form:
1.416666
Mixed Number Form:
1 5/12
Answer:
The number of Pencils purchased and the cost of pencils represents a proportional relationship.
Step-by-step explanation:
As we know that proportional relationships between two variables have equivalent ratios.
For example,
3/12 = 9/36 is a TRUE proportions because both fractions reduces to 1/4, and because 12 × 9 = 3 × 36.
As our problem suggests whether the number of Pencils purchased and the cost of pencils represent a proportional relationship?
Given
It means ach pencil costs $0.25.
So
- If Sarah buys 1 pencil it would cost = $0.25
- If Sarah buys 2 pencils it would cost = $0.5
- If Sarah buys 3 pencils it would cost = $0.75
- If Sarah buys 4 pencils it would cost = $1
Lets make a table:
No of Pencils Purchased Cost
1 $0.25
2 $0.5
3 $0.75
4 $1
so
Cost/No of Pencils Purchased = 0.25/1 = 0.5/2 = 0.75/3 = 1/4
So cost per pencil = 0.25 : 1
Since all of the ratios are equivalent, this table is a proportional relationship.
Therefore, the number of Pencils purchased and the cost of pencils represents a proportional relationship.
<span>-3|15 - s| + 2s^3 when s = -3 is
</span>-3|15 - (-3)| + 2(-3)^3 = <span>-3|15 + 3| + 2(-27) = </span><span>-3|18| + (-54) = -3(18) - 54 = -54 - 54 = -108</span>