Answer:
The solution is x=1,y=2,z=3
Step-by-step explanation:
The given system of equations is ;\
2x−3y+4z=8...(1)
3x+4y−5z=−4...(2)
4x−5y+6z=12...(3)
Make x the subject in equation (1)
Put equation (4) into equation (2) and (3)
Multiply through by;
Expand;
Simplify;
Equation (4) in (3)
Put equation (6) into equation (5)
z=3
Put z=3 into equation (6)
y=2(3)-4=2
Put y=2 and z=3 into equation 4
The solution is x=1,y=2,z=3
Answer:
The answer is (-16.6)
Step-by-step explanation:
y/2 ≥ -8.3
y ≥ (-8.3) × 2
y ≥ -16.6
Thus, The value of y is (-16.6)
<u>-TheUnknownScientist 72</u>
Answer: Y=-1/4x
Step-by-step explanation:
A good way to find an equation of a line is to look for the slope. An obvious spot on this line would be when it crosses (0,0), and another one to the right would be when it crosses at (4,-1).
The slope is rise over run, or if we use the two points we found, "rise" would be -1, because it's dropping 1 unit when going from (0,0) to (4,-1), and the "run" would be 4, because it moves to the right 4 from (0,0) to (4,-1).
Putting these two values together we get:
m (slope) = rise / run
m = -1 / 4
Out of all the equations we're given, we can look for the one with a slope of -1/4, which is given to us:
y = (-1/4)x
Answer:
907.46 mm2
Step-by-step explanation:
Area of circle = (¶d^2)/4
d = 34 mm
Therefore
Area A = (3.14 x 34^2)/4
= 907.46 mm2
Answer:
Step-by-step explanation:
-Probability is the likelihood of an event occurring.
-The total number of events is:
-The total number of blue events is:
#Probability of a blue is thus calculated as:
Hence, the probability of choosing a blue marble at random is 37.5%
