In the equation y=40+6x, 40 represents the initial number of comic books in Joylin's collection, given to her by her uncle. Over time, she gains additional comic books from monthly subscriptions.
In the provided equation, y=40+6x, the number 40 represents the initial amount of comic books Joylin has before the monthly subscriptions start. This is essentially the number of comic books Joylin's uncle gave her to start her collection. The number 6 represents the number of books she receives monthly from the subscriptions. Therefore, 'x' months after receiving the initial batch of comic books, Joylin has 40 + 6x comic books in her collection.
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Answer:
gallons
Step-by-step explanation:
If gallons fill of a bucket.
Then we can write the ratio;
Let gallons fill the entire bucket which is equivalent to .
Then we can again write the ratio;
We can write the following equation of proportion to solve for .
This implies that;
We simplify to get;
Therefore gallons will fill the entire bucket
B. 180°
C. None of the above
D. 90° counterclockwise
The answer to the rotation of triangle def is B)
Answer:
Step-by-step explanation:
To create triangle D'E'F', you need to rotate triangle DEF 180°, which results a figure with an opposite position, like a mirror. A 180° rotation always gives an opposite position, a mirror effect.
Correct description of the given inequality will be, A solid line with y-intercept (-4) and slope 7. The graph will be shaded above the line.
Slope form of the line is given by equation,
y = mx + b
Where 'm' = Slope of the line
b = y-intercept
For a line having equation,
y = 7x - 4
Slope = 7
y-intercept = -4
If the line is an inequality, properties of the inequality will be defined by,
By these properties,
inequality y ≥ 7x - 4 will show,
Therefore, the graph will be a solid line with y-intercept (-4) and slope 7. The graph will be shaded above the line.
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Answer:
The correct option is B
B) The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
Step-by-step explanation:
The given equation is
y ≥ 7x - 4
Consider only the equality sign:
y = 7x-4
or
y = 7x + (-4)
The general form of any linear equation is given by:
y = mx + c
By comparing, we can see that:
m = slope = 7
Secondly consider the equation
y ≥ 7x - 4
We know that generally for the signs "equal to and greater/smaller than", we use a solid line, and for the signs "greater/smaller than", we use a dashed line.
Hence, to graph this equation we'll use a solid line.
Thirdly, find y intercept by putting x=0
y = 7(0) - 4
y = -4
The correct option is B