Answer:
x = -1 and y = 4
Step-by-step explanation:
Step 1: Solve 3y = -x + 11 for x
3y + x= -x + 11 + x
x + 3y = 11
x + 3y - 3y = 11 - 3y
x = −3y + 11
Step 2: Substitute -3y + 11 for x in 2x + 4y = 14
2(-3y + 11) + 4y = 14
Simplify both sides of the equation, and you get −2y + 22 = 14
−2y + 22 − 22 = 14 − 22
-2y = -8
-2y/-2 = -8/-2
y = 4
Step 3: Substitute 4 for y in x = −3y + 11
x = -3(4) + 11
Simplify both sides of the equation, and you get x = -1
Answer:
2/3 hours is equivalent to 40 minutes.
Step-by-step explanation:
Divide an hour, (60 minutes) by three to get 20, which is equivalent to a third. So to put it into perspective:
1/3: 20
2/3: 40
3/3(1): 60
<em>Hope</em><em> </em><em>it </em><em>helps</em><em>!</em>
Answer:
f(x) = x+3
Step-by-step explanation:
a) For sketching the graph, we need to plot all the points on the XY plane.
Let x represents the time (in years) and y represents the height of the mountain Ash tree (in feet).
We plotted the graph through excel.
b) Using the trendline function in Ms Excel, we get the equation representing this graph
Equation is: y = 0.9783x + 3.6086
The function that models the graph will be calculated graphically that is,
f(x) = x+3
Answer:600
Step-by-step explanation:2,976/4.96=600
Answer:
10.5
Step-by-step explanation:
Given the data:
Age. l frequency
1-5. l 3
6-10. l 3
11-15. l 3
16-20. I 3
Mean :
Σfx / Σf
Obtain the midpoint (x) = (upper + lower boundary) / 2
Hence, midpoint x :
Age. l frequency | x
1-5. l 3 | 3
6-10. l 3 | 8
11-15. l 3 | 13
16-20. I 3 | 18
Σfx = (3*3) + (3*8) + (3*13) + (3*18) = 126
Σf = (3 + 3 + 3 + 3) = 12
Mean = Σfx / Σf = 126 / 12 = 10.5