Answer: the answer is that is decreases 25 %
Step-by-step explanation:
Answer:
The equation of tangent line is ![y=5x-33](https://tex.z-dn.net/?f=y%3D5x-33%20%20)
Step-by-step explanation:
We need to find out the equation of tangent line.
Given :- g(6)=−3 and g'(6)= 5
If g(6)=−3
then the point on the line for the required tangent is (6,−3)
If g'(6)= 5
then the slope of the tangent at that point is 45
The tangent line can be specified by the slope-point form of the equation:
![(y-y_1)=m(x-x_1)](https://tex.z-dn.net/?f=%28y-y_1%29%3Dm%28x-x_1%29)
which in this case is
![(y-(-3))=5(x-6)](https://tex.z-dn.net/?f=%28y-%28-3%29%29%3D5%28x-6%29)
![(y+3)=(5x-30)](https://tex.z-dn.net/?f=%28y%2B3%29%3D%285x-30%29)
subtract both the sides by 3,
![y+3-3=5x-30-3](https://tex.z-dn.net/?f=y%2B3-3%3D5x-30-3)
![y=5x-33](https://tex.z-dn.net/?f=y%3D5x-33)
Therefore, the equation of tangent line is ![y=5x-33](https://tex.z-dn.net/?f=y%3D5x-33)
-33=-11*3
-8=-11+3
so
(x-11)(x+3)
Step-by-step explanation:
1a)you are asked to find the number of girls and boys who received prizes
1b)The given facts are that out of 60 pupils, 40 being boys, 20 being girls, joined a Math Quiz competition. 20%of boys and 15 of girls received prizes.
1c)40 boys +20 girls=60 pupils.
1d) Find the number of girls and boys that re ceived prizes
20% of 40 boys
20/100 ×40= 8 boys won prizes
15% of 20 girls
15/100×20=3 girls won prizes
1d) 8 boys+3 girls=11 pupils won prizes
2 Answers:
Choice C) It will use a closed circle
Choice D) The ray will move to the left
=========================================================
Explanation:
The inequality
means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was
to exclude the endpoint -8.
The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.
In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.