[15 + 1/2 ] - [ 2 + 3/4 ] - [6 + 2/3 ]......convertng these to improper fractions, we have
[31 /2 ] - [11 / 4 ] - [ 20 / 3 ] getting a common denominator (12), we have
[186 / 12] - [33 / 12 ] - [ 80 / 12 ] = 73 / 12 inches = about 6.0833 inches left
Answer:
A ∩ B = {12}
Step-by-step explanation:
What are the possible even outcomes?
Assuming the number cubes are 1-6,
our possible outcomes run from 2-12, but we are looking for even rolls, so A={2,4,6,8,10,12}.
How many of those are divisible by 3? B={12}.
We are looking for what is in common between these, so
A ∩ B= {12}
Answer:
Step-by-step explanation:
f(x) = 2x2
Range = {f(-3), f(1), f(4), f(5)} = {18, 2, 32, 50}
Answer:
x <2
Step-by-step explanation:
2.5 – 1.2x < 6.5 – 3.2x
Add 3.2x to each side
2.5 – 1.2x+3.2x < 6.5 – 3.2x+3.2x
2.5 +2x < 6.5
Subtract 2.5 from each side
2.5+2x-2.5<6.5-2.5
2x<4
Divide by 2
2x/2 < 4/2
x <2
The best approximation for the solution to this system of equations is (-2.2,-3)
Option C is correct.
Step-by-step explanation:
Solving the system of equations to get the exact value of x:

Let

Putting value of y from eq(1) into eq(2)



So, Value of x is -2.2
The best approximation for the solution to this system of equations is:
x=-2.2 and y = -3
(-2.2,-3)
Option C is correct.
Keywords: System of equations
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