The graph displays the total cost when buying gas by the gallon. Which statement best describes the relationship between cost an
d amount of gas purchased?
A) The more gas you buy, the more it costs.
B) The less gas you buy, the more it costs.
C) The more gas you buy, the less it costs.
D) The less gas you buy, the less it costs.
SHOW YOUR WORK AND EXPLAIN FIRST ONE TO DO IT RIGHT WILL BE MARKED BRAINLIEST
A) The more gas you buy, the more it costs.
B) The less gas you buy, the more it costs.
C) The more gas you buy, the less it costs.
D) The less gas you buy, the less it costs.
SHOW YOUR WORK AND EXPLAIN FIRST ONE TO DO IT RIGHT WILL BE MARKED BRAINLIEST
2 answers:
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Answer:
B
Step-by-step explanation:
+ 6 = x ( subtract 6 from both sides )
= x - 6 ( square both sides )
x = (x - 6)² ← expand using FOIL
x = x² - 12x + 36 ( subtract x from both sides )
0 = x² - 13x + 36 , that is
x² - 13x + 36 = 0 ← in standard form
(x - 4)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 9 = 0 ⇒ x = 9
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 4
left side = + 6 = 2 + 6 = 8
right side = x = 4
Since 8 ≠ 4 then x = 4 is an extraneous solution
x = 9
left side = + 6 = 3 + 6 = 9
right side = x = 9
Thus the solution is x = 9 → B
Answer:
(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product
(b)
Step-by-step explanation:
Given
The attached table
Solving (a): The rule of the table in words
First, we calculate the slope (m)
Using:
So, we have:
The equation is calculated using:
Using:
We have:
Make y the subject
Hence, the rule is:
Multiply the input (x) by 2 and add 5 to the result of the product
(b): The rule, in algebra
As solved in (a), the rule is: