perimeter = sum of all sides
27 = 9+7.8+x
x (third side) = 10.2
Answer:
Event 2, Event 3, Event 4, Event 1
Step-by-step explanation:
The probability of Event 2 occurring is 0/12(0%) as there are no red marbles in the bag.
The probability of Event 3 occurring is 13/20(65%) as you will get an orange marble from Bag B 13 out of 20 times.
The probability of Event 4 occurring is 9/12(75%) as you will get a yellow marble from Bag A 9 out of 12 times.
The probability of Event 1 occurring is 20/20(100%); therefore you will always get either a yellow or an orange marble from Bag B.
Answer:
A
Step-by-step explanation:
This option contains a number that would appear on this scale.
Answer:
D: y = 3x² - 5x - 2
Step-by-step explanation:
The general form of a quadratic equation is: y = ax² + bx + c
c is the y-intercept
We are given the point (0, -2) which is the y-intercept, so we can rewrite our general form into
y = ax² + bx - 2
We can create a system of equations to solve for a and b. We are given two points.
Equation 1: Take the first point (-2, 20) and plug it into our general equation...
20 = a(-2)² + b(-2) - 2
20 = 4a - 2b - 2
22 = 4a - 2b (add 2 to both sides)
11 = 2a - b (divide both sides by 2 since every coefficient is even)
Equation 2: Take the point (1, -4) and plug it into the general equation
-4 = a(1)² + b(1) - 2
-4 = a + b - 2
-2 = a + b
Now we have our 2 equations:
11 = 2a - b
-2 = a + b
Since the coefficients of b are already have opposite signs, add the two equations together (elimination method)
Now we have
9 = 3a now solve for a...
3 = a (divide by 3 on both sides)
If a = 3, then
-2 = 3 + b
-5 = b
Our equation is
y = 3x² - 5x - 2
Answer:
y = (4/7)x + 3
Step-by-step explanation:
rise = 7 - 3 = 4
run = 7 - 0 = 7
slope = rise/run = 4/7
y-intercept = 3
---------------------
Slope intercept form is
y = mx + b
m is the slope = 4/7
b is the y-intercept = 3
the equation is
y = (4/7)x + 3
