3. y-intercept is when x=0, so 2. Slope is change in y divided by change in x, so 4/3, which rounds to 1.3.
4. the equation: y=mx+d, so substitute m for the slope and d as the y-intercept, so you get y=1.3x+2
5. When you look at the graph, when x=7, then y=80. So the student may get an 80.
Answer:
Step-by-step explanation:
If you do: (0,9) ---> 9 = a·b0
---> 9 = a·1
---> 9 = a
---> y = 9·bx
(3, 4608) ---> 4608 = 9·b3
---> 512 = b3 (dividing both sides by 9)
---> 8 = b (taking the cube root of both sides)
If x^2+bx+16 has at least one real root, then the equation x^2+bx+16=0 has at least one solution. The discriminant of a quadratic equation is b^2-4ac and it determines the nature of the roots. If the discriminant is zero, there is exactly one distinct real root. If the discriminant is positive, there are exactly two roots. The discriminant of <span>x^2+bx+16=0 is b^2-4(1)(16). The inequality here gives the values of b where the discriminant will be positive or zero:
b^2-4(1)(16) ≥ 0
</span><span>b^2-64 ≥ 0
(b+8)(b-8) </span><span>≥ 0
The answer is that all possible values of b are in the interval (-inf, -8]∪[8,inf) because those are the intervals where </span>(b+8)(b-8) is positive.
Two lines that are parallel have the same slope. Thus, find the slope of the line (J) thru (4,2) and (5,1), and that will be the answer to your question.
2-1 1
m = --------- = ------ = -1 (answer)
4-5 -1