Answer:
Step-by-step explanation:
Graph f(x) = |x| first. This graph looks like a "V" and has its vertex at (0, 0). It opens up.
Now translate the entire graph 1 unit to the left. You will now have the graph of g(x) = |x + 1|.
Now stretch this graph g(x) vertically by a factor of 8.
Finally, translate the entire resulting graph DOWN by 1 unit.
Answer - B.
Check image, the answer is highlighted in yellow, with test proof.
Answer:
C: The speed increases from A to F
Step-by-step explanation:
Check each node A to F including A and F.
B is higher than A, C is higher than B, ...
This is true for all of them, so it is increasing.
Answer:
<em>The first man has 7 oranges and the other man has 5 oranges</em>
Step-by-step explanation:
System of Equations
To solve the problem, we set the variables:
x = number of oranges of the first man
y = number of oranges of the other man
If the other man gives one orange to the first man:
x + 1 = one more orange for the first man
y - 1 = one less orange for the second man
The first condition is: if the other man gives one orange to the first man, the latter would have double oranges:
x + 1 = 2 (y - 1)
Operating:
x + 1 = 2y - 2
x = 2y - 3 [1]
The second conditions states if the first man gives one orange to the other man, they would have the same number of oranges:
x - 1 = y + 1 [2]
Substituting [1] in [2]
2y - 3 - 1 = y + 1
Subtracting y and operating:
2y - y - 4 = 1
y = 1 + 4
y = 5
From [1]:
x = 2(5) - 3
x = 7
The first man has 7 oranges and the other man has 5 oranges
A discrete function is a relation where the domain and the range take a specific discrete set of values and not the whole set of the real numbers.
In this case, it's okay to model the scenario with a line because all of the points will fall on the line. Only points corresponding to the integer domain values, however, actually represent the scenario.
Basically, a linear function that represents this situation serves as a prediction model to generalize this type of situation, but for this case, just the value inside the domain makes sense to this particular case.