Answer:
x-intercept: 2 y-intercept= -4
Step-by-step explanation:
First, change the given equation 4x-2y>8 to slope-intercept form, which is y=mx+b. We do this by solving for y.
4x-2y>8. <em>Subtract 4x from each side</em>
-2y> -4x+8. <em>Divide by -2. Don't forget to switch the sign!</em>
y< 2x-4 <em>is our equation in slope-intercept form. </em>
Now, we can graph it. We know the slope (m)= 2 and the y-intercept= -4. Start at -4 and move up two, over one, making points until you can form a line. We can see from the graph that when x=0, (0, -4) y= -4. When y=0, (2, 0), x=2. These are our intercepts of the graph!
<u>Hope this helps!</u>
Answer:
Step-by-step explanation:
Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,
Firstly convert it into <em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>c</em><em>e</em><em>p</em><em>t</em><em> </em><em>f</em><em>o</em><em>r</em><em>m</em><em> </em>of the line which is <u>y</u><u> </u><u>=</u><u> </u><u>m</u><u>x</u><u> </u><u>+</u><u> </u><u>x</u><u> </u>, as ;
On comparing it to <em>y</em><em> </em><em>=</em><em> </em><em>m</em><em>x</em><em> </em><em>+</em><em> </em><em>c</em><em> </em>, we have ,
Now as we know that the <em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>o</em><em>f</em><em> </em><em>t</em><em>w</em><em>o</em><em> </em><em>p</em><em>a</em><em>r</em><em>a</em><em>l</em><em>l</em><em>e</em><em>l</em><em> </em><em>l</em><em>i</em><em>n</em><em>e</em><em>s</em><em> </em><em>i</em><em>s</em><em> </em><em>s</em><em>a</em><em>m</em><em>e</em><em> </em>. Therefore the slope of the parallel line will be ,
Now we may use <em>p</em><em>o</em><em>i</em><em>n</em><em>t</em><em> </em><em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em>m</em><em> </em>of the line as ,
On substituting the respective values ,
Again the equation can be rewritten as ,
5/6 of an hour is 50 minutes. 50 (time) divided by 8 (tasks) is 6.25. So, it takes the robot 6 minutes and 15 seconds (.25 of a minute is 15 seconds) to complete one task. Now, just divide 60 by 6.25. It's 9.6. Since a robot cannot complete .6 of a task, the robot only completes 9 tasks in an hour.
When f(x) = 4 then x = 2 (domain = 2, range = 4)
hope it helps
The value of a3 for the given recursive pattern is 446
<h3>Sequence</h3>
A sequence can either follow an arithmetic progression or geometric progression or none
<h3>The terms</h3>
The given parameters are:
Start by calculating a2
Substitute 4 for a1
Next, calculate a3
Substitute 21 for a2
Hence, the value of a3 is 446
Read more about sequence and patterns at:
brainly.com/question/15590116