Answer:
P(1) = 4/20 or 1/5
P(2) = 3/20
P(3) = 7/20
P(4) = 6/20 or 3/10
Step-by-step explanation:
Crystal spun the spinner 20 times. 1 was the outcome 4 times out of 20 spins, so the experimental probability would be 4/20 or 1/5. Same goes for all the other ones.
1. To solve this exercise, you must make a system of equations.
2. You have that f<span>our times a number minus twice another number is -8:
</span>
4x-2y=-8
3. And t<span>he sum of the two number is 19:
</span>
x+y=19
4. As you can see, you have two equations:
4x-2y=-8 (i)
x+y=19 (ii)
5. Let's clear the "x" from the equation (ii):
x=19-y
6. Now, you need to susbtitute x=19-y into the equation (i):
4x-2y=-8
4(19-y)-2y=-8
76-4y-2y=-8
76-6y=-8
-6y=-8-76
-6y=-84
y=-84/-6
y=14
7. You must susbstitute y=14 into the equation (ii) and clear "x":
x+y=19
x+14=19
x=19-14
x=5
The answer is: 5 and 14
Answer: D: g(x)= -f(-x)
Step-by-step explanation:
g(x) is the image of f(x) after a reflection over the x-axis followed by a reflection over the y-axis.
Slope of the line is -7
Step-by-step explanation:
- Step 1: Find slope of the line using formula, m = (y2 - y1)/(x2 - x1). Here, x1 = 7, y1 = -41, x2 = -15 and y2 = 113
⇒ m = (113 - -41)/(-15 - 7)
= 154/-22 = -7
