Answer: 5
Step-by-step explanation: f(3) = 2x - 1
substitute the x with 3. 2(3)-1
6-1
5
Answer:
x-intercept: (-3,0)
y-intercept: (0,-3)
Step-by-step explanation:
Looking at the equation, we can see that it is already in standard form, or in a
format. Whenever a line is put into standard form, the x-intercepts are represented by
and the y-intercepts are represented by
. So, let's calculate them by doing the following:
1) Find the x-intercept by using the
formula. Substitute the number on the right side of the equation for
and the coefficient for the x term for
. So, in this case,
and
:

Therefore, the x-intercept is (-3,0).
2) Next, find the y-intercept by using the
formula and substituting the right values.
is still the number on the right side of the equation and
is the coefficient of the y term. So,
and
.

Therefore, (0, -3) is the y-intercept.
Answer:
B) -7
Step-by-step explanation:
x+y
8+(-15)=8-15=-7
Answer:
He subtracted -5 from both sides, not -6
Step-by-step explanation:
The inequality that we have to solve in this problem is

To solve the inequality, we proceed as follows:
1)
First, we isolate the term in x. To do that, we add -6 on both sides of the inequality, and we find:

So, this is now the new inequality.
2)
Then, we divide both sides of the equation by 5; we get:

3)
Finally, we change sign to the inequality, so we get:

So, the student's error is that he subtracted -5 from both sides, not -6.