Answer:
Elena's run for 1.17 miles in ten minutes
Step-by-step explanation:
From the question
y = 8.5 x ; where x is Distance in miles, and y is time in minutes
and y= 10 minutes
thus on substituting the respected values we get
10 = 8.5 x
⇒ x = 
= 1.17 miles
Therefore Elena's run for 1.17 miles in ten minutes
Answer:
1. Slope: -3/4
2. Point-slope: y+4=-3/4(x+4)
3. Slope-intercept: y=-3/4x-7
4. Standard form: 3x+4y=-28
Step-by-step explanation:
1. To find the slope, use the slope formula, which is: y2-y1/x2-x1.
Plug the y-coordinates into the top part of the equation and the x-coordinates into the bottom part.
2--4/-4-4
2+4/-8 = 6/-8, or 3/-4
2. Use the slope and one of the x and y coordinates to put the equation into point-slope form. Recall that point-slope form is: y-y1=m(x-x1). Let's use the coordinates (4,-4).
y+4=-3/4(x+4)
3. To put the point-slope equation into slope-intercept form (y=mx+b), you need to distribute -3/4 to x+4 and subtract 4 from both sides.
When you distribute, the equation becomes:
y+4=-3/4x-3
Finally, when you subtract 4, the equation becomes:
y=-3/4x-7
4. Standard form is written as x+y= #.
To convert y=mx+b to standard form, first subtract -3/4x from both sides.
-3/4x + y = -7
Multiply everything by 4
3x + 4y = -28
The product of 2/3 X 21 is 14 and that is in simplest form
We have that
<span>1/4 x + 2/3 y = 5 ----> multiply by 12 both sides---> 3x+8y=60
1/2 x + 3/2 y = 11---> multiply by 2 both sides----> x+3y=22
therefore
the answer is the option
</span><span>B. 3x + 8y = 60 ; x + 3y = 22</span>
For this case we have the following inequality:
The first thing we must do is to graph the linear function:
Then, we must evaluate ordered pairs in the following way:
(x, y)
The ordered pairs that meet the inequality, will be included as part of the graph.
Therefore, the shaded region contains all the ordered pairs that meet the inequality.
Answer: See attached image.
