Functions, equations and tables can be represented using graphs
- The x-intercepts are: 0, 0.35 and 1.53
- The local maximum is at point (0.17, 0.08), and the local minimum is at point (1.13, -1.07)
The expression is given as:
Rewrite the expression as a function
See attachment for the graph of the function.
<h3>The x-intercepts</h3>
This is the point where the graph cross the x-axis.
From the attached graph, the x-intercepts are: 0, 0.35 and 1.53
<h3>The local maximum</h3>
From the attached graph, the local maximum is at point (0.17, 0.08)
<h3>The local minimum</h3>
From the attached graph, the local minimum is at point (1.13, -1.07)
<h3>Intervals</h3>
- The graph increases at interval (-1.30, 0) and (1,13, infinity)
- The graph decreases at interval (- infinity, 1.30) and (0.35, 1.13)
Read more about graphs and functions at:
brainly.com/question/13136492
Set up multiplication/division of ratios to cancel out units you don't need for the final answer and introduce those that you do.
We have m/s and we want m/min so
(100m/s)(60s/min)=6000m/min
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Years of experience (X) :
1
3
3
5
7
8
10
10
12
12
Annual sales (Y) :
85
97
95
97
105
106
122
120
113
134
The estimated regression equation obtained is :
y = b0 + b1x
b0 = 82.82967
b1 = 3.46061
ŷ = 3.46061X + 82.82967
The change in annual sales for every year of experience is given by the slope value, b1 = 3.46061 = 3.5 (1 decimal place)
The Coefficient of determination R² = 0.8477 = 0.848 ( 3 decimal place).
The Coefficient of determination gives the proportion of explained variance.
About 84.8% percent variation in annual sales can be explained by years of experience of the sales person.
Using the regression equation :
ŷ = 3.46061X + 82.82967
Years of experience, x = 8
ŷ = 3.46061(8) + 82.82967 = 110.514
111 = (to the nearest whole number)
21, it says it right in the name.
Answer:
a reflection over the x-axis and then a 90 degree clockwise rotation about the origin
Step-by-step explanation:
Lets suppose triangle JKL has the vertices on the points as follows:
J: (-1,0)
K: (0,0)
L: (0,1)
This gives us a triangle in the second quadrant with the 90 degrees corner on the origin. It says that this is then transformed by performing a 90 degree clockwise rotation about the origin and then a reflection over the y-axis. If we rotate it 90 degrees clockwise we end up with:
J: (0,1) , K: (0,0), L: (1,0)
Then we reflect it across the y-axis and get:
J: (0,1), K:(0,0), L: (-1,0)
Now we go through each answer and look for the one that ends up in the second quadrant;
If we do a reflection over the y-axis and then a 90 degree clockwise rotation about the origin we end up in the fourth quadrant.
If we do a reflection over the x-axis and then a 90 degree counterclockwise rotation about the origin we also end up in the fourth quadrant.
If we do a reflection over the x-axis and then a reflection over the y-axis we also end up in the fourth quadrant.
The third answer is the only one that yields a transformation which leads back to the original position.
