It will take 6 years for the trees to have same height.
Step-by-step explanation:
Type A tree;
Initial height = 9 feet
We will convert feet into inches because growth is in inches.
1 feet = 12 inches
9 feet = 12*9 = 108 inches
Growth rate = 6 inches per year
Let,
x be the number of years.
A(x) = 108 + 6x
Type B;
Initial height = 4 feet = 4*12 = 48 inches
Growth rate = 16 inches per year
B(x) = 48 + 16x
The height will be same, when functions are equal
A(x) = B(x)
Dividing both sides by 6
It will take 6 years for the trees to have same height.
Keywords: function, division
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Answer:
The correct answer is y = 12x + 9
Step-by-step explanation:
There is a formula called y = mx + b where m is the slope and b is the y-intercept
The y-intercept is 9 so y = mx + 9
The slope is 12/1 or just 12 so y = 12x + 9
Answer:
- The square root and quadratic function share a y-intercept.
- The range of the square root and absolute value function are the same.
Step-by-step explanation:
Y-intercepts are the same when the curves meet the y-axis at the same point. That is true of the root and quadratic functions.
X-intercepts are the same when the curves meet the x-axis at the same point. None of these functions share an x-intercept.
The ranges of the functions are the same when they have the same vertical extent. The range of the quadratic is different from the range of the other two functions.
The absolute value and root functions have the same minimum (lower end of their range). That is the same as the maximum of the quadratic function.
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The statements that match the graphs are ...
- The square root and quadratic function share a y-intercept.
- The range of the square root and absolute value function are the same.
Answer:
tan(θ) = 4/3
Step-by-step explanation:
The tangent is the ratio of the y-coordinate to the x-coordinate:
... tan(θ) = (-4)/(-3) = 4/3
