First let as solve the equation of the function 2:
solve the slope of the function
m = (y1 - y2) / (x1 - x2)
m = (65 - 85) / (0 - 1)
m = 20
then solve for the y intercept using one point ( 0, 65)
y = mx + b
65 = (20)0 + b
b = 65
so the equation is
y = 20x + 65
so the correct answer is <span>Function 1 has a greater rate of change than function. function 1 has 32 rate of change while function 2 is 20</span>
If you mean in decimal form then it would be 15.65
Answer:
A = 38°
B = 50.32°
C = 91.68°
a = 8
b = 10
c = 12.77
Step-by-step explanation:
The first thing is to find the angle B, like this:
sin B = b * sin A / a = 10 * sin (38 °) / 8
sin B = 0.77
B = arc sin (0.77)
B = 50.32 °
For angle C, it would be:
C = 180 - 38 - 50.32
C = 91.68 °
Side c, we calculate it like this:
c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)
c = 12.77
Answer:
The probability that Joe's stock will go up and he will win in the lottery is 0.00005.
Step-by-step explanation:
Let the events be denoted as:
<em>X</em> = the stock goes up
<em>Y</em> = Joe wins the lottery
Given:
P (X) = 0.50
P (Y) = 0.0001
The events of the stock going up is not dependent on the the event of Joe winning the lottery.
So the events <em>X</em> and <em>Y</em> are independent of each other.
Independent events are those events that can occur together at the same time.
The joint probability of two independent events <em>A</em> and <em>B </em>is,
Compute the value of P (<em>X ∩ Y</em>) as follows:
Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.
Answer:
D. Yes; the graph passes the vertical line test.
Step-by-step explanation:
→The vertical line test is when you hold something (like a pencil), straight up/vertically, and you move it from left-to-right to see if any two points repeat.
<u>→The correct answer is "D. Yes; the graph passes the vertical line test,"</u> because the x-values can't repeat, not the y-values, if the graph were to show a function. In this case, the graph passes the vertical line test.
