Answer:
<h3>4th answer is correct</h3>
Step-by-step explanation:
Answer:
-1 = 1/3 * 6 - 3
Step-by-step explanation:
So if it goes through point (6, -1) and has a slope of -1/3, all of this is parts of the slope intercept equal, Y = mx - B. You have the slope, which is m in the equation, y = -1/3 x - b. you already have a y and x which are the points passed, -1 = -1/3 * 6 - b, but this can't equal y, so you must have did it wrong, the only way this could equal y is if the slope wasn't negative, and in that case it would be -1 = 1/3 * 6 - 3. Because 1/3 * 6 is 2 and then subract 3 and you get -1.
Answer:
<h2>
y + 2 = 3(x + 1)</h2>
Step-by-step explanation:
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = 3
x₁ = -1
y₁ = -2
Therefore the equation:
y - (-2) = 3(x - (-1))
<h3>
y + 2 = 3(x + 1)</h3>
Answer:
B. Alex smokes a pack of cigarettes per day even though he knows that he may face poor health down the road because of his smoking habit.
Step-by-step explanation:
Time preference means that the person would like to have temporary but instant satisfaction. In this case, B would be the best choice, for Alex wants to experience the "high" (I guess?) from smoking, even when he knew that there would be health consequences down the road.
In this case, it is not:
A, for Thomas is not going to receive his reward (a profit from the investment) until later on. The money he invest is still "there", but it is technically gone into investment.
C, because this is assuming that retirement is a long way off, and that this would be a long-term investment, rather than a short term.
D, this is a long-term investment, as Sarah "hopes" that she can earn it all back in the future. With what she learns, she, in the long run, wants to find a sustainable & high-paying job.
~
Answer:
40 students
Step-by-step explanation:
In this problem, one is given the ratio ( 8 : 3 ), since a ratio is another way of writing a fraction one can rewrite it as; 
(8) represent the number of students who want to learn about magnets, and (3) represents the number of students who want to learn about magic tricks.
In the problem, it is also given that 25 more students wanted to learn about magnets compared to magic tricks. If one uses the parameter (x) to represent the factor by which the fraction is reduced, then one can get the equation;
8x = 3x + 25
Use inverse operations to solve,
8x = 3x + 25
-3x
5x = 25
/5
x = 5
Substitute back in to find out how many students want to learn about magnets,
8x
= 8(5)
= 40
