Answer:
B. 3.
Step-by-step explanation:
OK lets try again.
The slope of the secant = slope of the tangent at a certain point ( The Mean Value Theorem).
Slope of the secant = f(5) - f(2) / (5 - 2)
= [(25-3) / (5-1) - (4-3) / (2-1)] / 3
= (22/4 - 1) / 3
= 9/2 / 3
= 9/6
= 3/2.
The derivative at c = the slope of the tangent at c.
Finding the derivative:
f'(x) = [2x(x - 1) - (x^2 - 3) ]/ (x - 1)^2 (where x = c).
= (x^2 - 2x + 3)/ (x - 1)^2 = the slope.
So equating the slopes:
(x^2 - 2x + 3) / (x - 1)^2 = 3/2
2x^2 - 4x + 6 = 3x^2 - 6x + 3
x^2 - 2x - 3 = 0
(x - 3)(x + 1) = 90
x = 3 , -1
x can't be -1 because we are working between the values 2 and 5 so
x = c = 3.
Answer:
-17/4
Step-by-step explanation:
4x+6+3=-8
4x+9=-8
-9 -9
4x=-17
÷4 ÷4
X=-17⁄4
Answer:
33.
Step-by-step explanation:
In order to find range, you must subtract the largest amount given by the smallest amount. In this case, it would be 94-61=33.
Answer:
1) c 2)c 3)b
Step-by-step explanation:
The solution is about a distance-time graph. The interpretation of the graph is that it took the family 6 hours to travel a distance of 360 miles. Note that the distance is plotted on y-axis and time on the x-axis.
<h3>What is a distance-time graph?</h3>
A distance time graph is a simple graph that shows the relationship between the time travelled the distance covered while doing do.
The slope-intercept form is
y= mx+b−⋯(1)
The y-intercept is 360
⇒b = 360; and m = −60
Substituting the value of m = −60
and b = 360
in (1) above,
⇒y = −60x +360
The x-intercept is
y = 0,
⇒0= −60x+360
hence, x=6
The y-intercept is
x=0
⇒y=−60(0)+360
⇒y=360
In conclusion, the x - intercept is the time in hours between Cincinnati and St. Loui: and
The y - intercept is the distance between Cincinnati and St. Louis.
Learn more about distance-time graphs at:
brainly.com/question/13877898
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