H(t)=(t+3)^2+5
1 answer:
Answer:
Option C. −4≤t≤−3
Step-by-step explanation:
we have
This is the equation of a vertical parabola written in vertex form
The parabola open upward (the leading coefficient is positive)
The vertex is a minimum
The vertex is the point (-3,5)
The function is increasing in the interval [-3,∞)
The function is decreasing in the interval (-∞,-3]
The function will have a negative average rate when the function will be decreasing
therefore
the answer is option C
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Answer:
D. y = 2x - 2
Step-by-step explanation:
1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:
A line placed in slope-intercept form is represented by the formula . The
, or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.
2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.
We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.
Use the point-slope formula and substitute values for
,
, and
. Since
represents the slope of the line, substitute 2 in its place. Since
and
represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:
So, option D is correct.