Part A: In (0,4) and (1,8), as x increases from 0 to 1, y increases from 4 to 8. The slope of the line connecting these 2 pts. is (8-4) / (1-0), or 4. Now do the same thing for the 2 pts (1,8) and (2, 10). You will find that the slope in the 2nd case is different. Thus, the 3 given pts do NOT lie on a straight line. Function is non-linear.
Part B: an example of a non-linear function would be y = 2x^2 - 5. You can tell immediately from that exponent, 2, that this function is non linear.
An ex. of a linear function would include x to the 1st power only: y = 3x - 7.
Answer:
6 months: 7200
8 months: 9600
Step-by-step explanation:
Given equations:
1200 * 6
1200 * 8
Solve 6 months:
1200 * 6
= 7200
Solve 8 months:
1200 * 8
= 9600.
Answer: $0.65
Explanation: First find how much Jose paid for each bag
$375 / 750
So $0.50 per bag
Now add $0.15 to that
$0.50 + $0.15
That added together is
$0.65
<span>So we want to know the volume V of a cone with a height h=7 mm and of radius r=3 mm rounded to the nearest hundreth. We need the formula for the volume of a cone: V=(1/3)*pi*r^2*h. Now we simply input the numbers and get: V=65.94 mm^2 and that is rounded to the first hundreth.</span>
Answer:
50°
Step-by-step explanation:
As usual, the diagram is not drawn to scale.
The chord divides the circle into two arcs that have a sum of 360°. If we let "a" represent the measure of the smaller arc, then we have ...
a + (a+160°) = 360°
2a = 200° . . . . . . . . . . . subtract 160°
a = 100°
The measure of the angle at A is 1/2 the measure of the subtended arc:
acute ∠A = a/2 = (1/2)·100° = 50°
_____
<em>Comment on this geometry</em>
Consider a different inscribed angle, one with vertex V on the circle and subtending the same short arc subtended by chord AB. Then you know that the angle at V is half the measure of arc AB. This is still true as point V approaches (and becomes) point A on the circle. When V becomes A, segment VA becomes tangent line <em>l</em>, and you have the geometry shown here.
