A. The
y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the
given table,
y - intercept
= 8
Since at
time zero the displacement is 8 ft, this means that the horse was already
outside the barn initially.
B. The
average rate of change of the function represents the slope of the linear
equation (m). This can be calculated using the formula:
average rate
of change = m = (y2 – y1) / (x2 – x1)
m = (158 –
58) / (3 – 1)
m = 50
<span>C. Since we have determine the y-intercept and
the slope, we can formulate the linear equation:</span>
y = m x + b
y = 50 x + 8
The domain
is the value of x. When y = 508, x is equivalent to
508 = 50 x +
8
<span>x = 10 hrs</span>
Frank had 3000 fish - 100 = 2900 fish left! Hope that helps! :)
Hello! And thank you for your question!
First move all the terms to one side:
<span>x^<span><span>2</span><span></span></span></span>−4x−9−29=<span>0
</span>
Then simplify x^2−4x−9−29:
<span><span><span>x<span><span>^2</span><span></span></span></span>−4x−38=0</span><span>
Then use the quadratic formula:
x = 4 + 2</span>√42 over 2 , 4 - 2√42 over 2
Finally simplify:
x = 2 + √42, 2 - √42
Final Answer:
x = 2 + √42, 2 - √42
</span>
Desmonds height let’s say x = y + 3
Radius of cone is decreasing at the rate of 
inches
What is rate of change?
Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.
Here rate of change of radius of cone has been calculated
Radius of cone = 18 inches
Height of cone = 11 inches
Volume of cone (V) = 
Radius of cone is decreasing at the rate of inches
To learn more about rate of change, refer to the link-
brainly.com/question/24313700
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