Slope=(59-83)/(4-6)=12
equation of the line:
(y-59)/(x-4)=12
y-59=12x-48
y=12x+11
put x=0, y=11
so the y-intercept is 11
This is good information, but the question part is missing. Put the question in the comments and I'll try my best to help!
Answer:
12354
Step-by-step explanation:
The smallest number with 12345 (I am assuming with out decimals) is
12345
If we switch the 5 and 4 we will get the second smallest number
12354
Answer:
the maximum value is 45
Step-by-step explanation:
- A box of leaf plot has 5 points and they are:
The minimum, the first quartile (Q1) the median (Q2), the third quartile (Q3), and the maximum. The box encompasses Q1, Q2, and Q3. The maximum is after Q3 and the minimum is before Q1.
In this case,
Q1, Q2, and Q3 are in a range 20-30, thus the maximum come after 30, which is 45
Answer:
x = 1, y = 2, z = -1
Step-by-step explanation:
2x + 4y = 10
2x = -4y + 10
x = -2y + 5
now sub -2y + 5 in for x, back into the other 2 equations
2x + 2y + 3z = 3 -3x + y + 2z = -3
2(-2y + 5) + 2y + 3z = 3 -3(-2y + 5) + y + 2z = -3
-4y + 10 + 2y + 3z = 3 6y - 15 + y + 2z = -3
-2y + 3z = 3 - 10 7y + 2z = - 3 + 15
-2y + 3z = - 7 7y + 2z = 12
-2y + 3z = -7....multiply by 2
7y + 2z = 12...multiply by -3
--------------------------
-4y + 6z = -14 (result of multiplying by 2)
-21y - 6z = -36 (result of multiplying by -3)
---------------------------add
-25y = - 50
y = -50/-25
y = 2 <===
2x + 4y = 10 2x + 2y + 3z = 3
2x + 4(2) = 10 2(1) + 2(2) + 3z = 3
2x + 8 = 10 2 + 4 + 3z = 3
2x = 10 - 8 6 + 3z = 3
2x = 2 3z = 3 - 6
x = 2/2 3z = -3
x = 1 <== z = -3/3
z = -1 <===
