Answer:
I think Roland is correct in his statement.
Step-by-step explanation:
Roland says the number of cups of iced tea t depends on the number of tea bags b and he says the equation represents the relationship between the number of tea bags b and the cups of iced tea
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I think Roland is correct in his statement and this is because here t is a function of b i.e. t = f(b) and hence, the number of cups of iced tea t depends on the number of tea bags b. (Answer)
The answer is as follows:
There are 2 pints in a quart.
There are 2 quarts in a half gallon.
There are 2 half gallons in a gallon.
Therefore, we can conclude that there are 10 quarts of orange juice.
Answer:
Option (5)
Step-by-step explanation:
Graph of a function f(x) = x represents a straight straight line (y = x), passing through the origin (0, 0).
As shown in the graph,
Let the equation of the given line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Since, the given line passes through two points (0, -1) and (-1, 2)
Slope of the line 'm' = 
= -3
y-intercept 'b' = -1
Therefore, equation of the line will be,
y = -3x - 1
And the function is,
g(x) = -3x - 1
Here, (-3) represents the reflection of parent function over the x axis, vertical stretch of the parent function by 3 units.
Followed by the shifting of parent function by 1 unit down.
Therefore, Option (5) is the answer.
Answer:
(x, y) = (0, 1/2) or (1, 3)
Step-by-step explanation:
The first equation factors as ...
x(3x -y) = 0
This has solutions x=0 and y=3x.
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<u>x = 0</u>
Using this in the second equation gives ...
2y -0 = 1
y = 1/2
(x, y) = (0, 1/2) is a solution
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<u>y = 3x</u>
Using the expression for y in the second equation, we get ...
2(3x) -5x = 1
x = 1 . . . . . . . . . simplify
y = 3x = 3 . . . . using x=1 in the first equation
(x, y) = (1, 3) is a solution
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Interestingly, the (red line) graph of 3x^2 -xy = 0 produced by this graphing calculator has a "hole" at x=0, It says that point is (0, undefined). In a sense, y is undefined, in that it can be <em>anything</em>. A more appropriate graph would graph that equation as the two lines x=0 and y=3x.
Answer:
12
Step-by-step explanation:
Use the Pythagorean theorem, a² + b² = c², where a and b are legs of the right triangle and c is the hypotenuse.