Answer:
The answer to your question is: second option
Step-by-step explanation:
g(x) = x + 4
- This function is linear because the power of x is 1, if the power were a different number it would not be linear.
- As the sign of 4 is positive, it means that the function is translated 4 units up.
- A constant is when there is a number, for example +4 or -4, in this example the function also has a letter "X" so it is not a constant.
Answer:
1,001 ways for them to decide.
Step-by-step explanation:
The order in which they will visit the countries is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:
10 countries from a set of 14. So

1,001 ways for them to decide.
As shown in the figure, we have two straight line. One of them has a negative slope and the other has a positive one. In two dimensions, the equation for non-vertical lines is often given in the slope-intercept form by:

being m the slope of the line and <span>b the y-intercept of it.
On the other hand, if x = 0 then y = b.
First of all we will order the equations above without </span>inequalities<span> like this:
A. </span>

,

<span>
B. </span>

,
C. 
,
D. 
,

<span>
As shown in the figure b = -1 for one straight and b = 4 for the second one. This values take place when x = 0. So, we discard C and D, because if x = 0, then:
</span>
For C, b = 1 and b = 4
For D, b = -1 and b = -4
Let's analyze A and B. So:
For A, m = 5 and m = 3
For B, m = 5 and m = -3
Therefore, we discard A because of the statement above.
Finally the answer is B. So, the inequalities are:
(1)

(2)

Let's prove this answer. We will take the point (2, 0) that is in the region in gray. So, substituting this point in the inequalities, we have:
(1)

(2)

In fact, this is true.
22 would be the answer. You reverse the equation so you multiply 3 and add 7 5x3 = 15 15+7= 22