<span>the limit as x approaches -3 of [g(x)-g(-3)]over(x+3) is the same as the derivative, or slope, of g(x) at the point x=-3, or g'(-3).
Since you are given the equation of the tangent line, the answer is just the slope of that line.
</span><span>2y+3=-(2/3)(x-3)
</span><span>6y+9=-2(x-3)
6y+9=-2x+6
6y=-2x-3
y= (-2x-3)/6
slope is -2/6 = </span>
Answer:
y = 8x
Step-by-step explanation:
When the number of people increased by 10, the caterer charged an additional $80. Therefore, we estimate that the cost per person is $8. In order to verify:
$8/person * 15 people = $120. True. $8/person * 25 people = $200. True.
Therefore, if we let x represent the number of people being cater for and y represent the cost, the equation to model the situation is simply y = 8x.
hope it helps!
Answer:
<em>x = 9</em>
Step-by-step explanation:
The standard form of equation of a line is expressed as y = mx+c
m is the slope
c is the y intercept
Note that the line does not have a slope and the x intercept of the line is a point where the line cuts the x axis. Hence the equation of the line will be expressed as x = c where c is the x intercept;
<em>From the graph, the x intercept =9. Hence the equation of the given line is x = 9</em>
Answer:
<em>The base of the triangle = 9inches</em>
Step-by-step explanation:
<u>Explanation</u>:-
The area of the triangle = 
square units
Given area of the triangle(A) = 54 square inches
Given the height of the triangle (h) = 12 inches
now equating 
now simplification, we get
6 b = 54
Dividing '6' on both sides, we get
b = 9
The base of the triangle = 9 inches
<u>Conclusion</u>:-
<em>The base of the triangle = 9 inches</em>
