Answer:
As x decreases, h increases (but never touches)
As x increases, h decreases (but never touches)
Step-by-step explanation:
If you graphed the exponential, you would be able to see that it is stuck in the 3rd quadrant.
Domain: (negative infinity, 1)
Range: (negative infinity, 0)
1) Yes
2) 5 minutes
3) 2 minutes
Step-by-step explanation:
1: Yes because, using the vertical line test, the line will cut the graph once meaning that the graph will form a function
2: 5 minutes because the horizontal line represents that she rested, therefore she was at the park for five minutes
3: 2 minutes because she traveled and reached home between 6 and 8 minutes
Answer:
88
Step-by-step explanation:
Find the prime factorization of both 8 and 11.
8 → 4 × 2 → 2 × 2 × 2
11 → 11
Then, multiply each factor the greater number of times it occurs. Since no factors are duplicated between 8 and 11 (as in, 2 is not a factor of 11, nor is 11 a factor of 8), LCM will equal 2 × 2 × 2 × 11.
2 × 2 × 2 × 11 = 88, so the LCM is 88.
It's a little hard to explain without visuals. A video could be useful, though I can't put links here.
To do this, we must set up ratios:
Option One:
The first options costs only
$0.0092/gram (a fraction of a penny)!
Option Two:

The second option costs only
$0.0085/gram (cheaper than option one)!
Option Three: This requires a little more work. First, we have to convert the grams into kilograms. For every 1 kg, there is 1,000 g. Therefore,
1,000g costs $5.65. Next, we set up the ratio as usual:

The third option costs
$0.00565/gram.
Therefore,
option three is the cheapest! Hope this helps!