Answer:
C
Step-by-step explanation:
A relation is a function if each input gives exactly one output. There is one price for each number of pounds, so the relation is a function.
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<em>Additional comment</em>
Relations expressed in terms of ordered pairs or tables can be identified as "not a function" if any input (x) value is repeated. Relations expressed as a graph will be "not a function" if any vertical line intersects the graph at more than one point. (This is called "the vertical line test.")
The cost function in this case is a straight line through the origin. It has a slope of $5.99/lb. Any polynomial relation will be a function.
Answer:
Step-by-step explanation:
<u>Let the price before tax be x, then we have:</u>
- x + 8% = 372.60
- x + 0.08x = 372.60
- 1.08x = 372.60
- x = 372.60 / 1.08
- x = 345
The initial price was $345
Answer:
The value of x is 8cm. The length of 3 sides are 8cm, 15cm and 17cm.
Step-by-step explanation:
Using Pythagoras' Theorem, a²+b² = c² :
Let a be x cm,
Let b be x+7 cm,
Let c be 2x+1 cm
x² + (x+7)² = (2x+1)²
x² + x² + 14x + 49 = 4x² + 4x + 1
2x² + 14x + 49 = 4x² + 4x + 1
Then, move all the variables to one side and solve it to find the value of x :
4x² + 4x + 1 - 2x² - 14x - 49 = 0
2x² - 10x - 48 = 0
2(x² - 5x - 24) = 0
x² - 5x - 24 = 0
(x-8)(x+3) = 0
x - 8 = 0
x = 8 cm
x + 3 = 0
x = -3 cm (rejected)
Substitute the x value into the length of a,b and c :
a = x
= 8 cm
b = x + 7
= 8 + 7
= 15 cm
c = 2x + 1
= 2(8) + 1
= 16 + 1
= 17 cm
Linear function is the other equation