I one is 8x<24 and -8≤2x-4
Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x
Hence solution is -2≤x<3
Therefore c is the correct matching for 1.
2) 5x-2>13 or -4x≥8
i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)
Or x>3 or x ≤-2
Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.
Graph b is the correct match.
3) -25≤9x+2<20
Subtract 2
-27≤9x<18: Now divide by positive 9
-3≤x<2
Hence graph is the region between -3 and 2 including only -3.
Graph a is correct matching for question 3.
Answer:
980 hers your proof so 170 * 7 =180
Step-by-step explanation:
The first number will be 500
the second number will be 600
and the last number will be 990
Answer:
t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.
Step-by-step explanation:
100 = 5 * 10^(0.3t), solve for t
Divide both sides by 5:
20 =10^(0.3t)
Take the log of both sides:
0.3t =log(20)
Divide both sides by 0.3:
Multiply the RHS by 10 / 10
t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.
Answer:
Step-by-step explanation:
We are given the temperature inside the machine from startup until 10 seconds later, the formula is:
We want to know at what time t the temperature inside the machine will be equal to 128 °C.
So we set:
Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side
and we simplify:
now it's easy to solve for t:
And thus we arrive to the solution.
