Answer:
B.
The graph is stretched vertically and shifted to the left 1 unit.
Answer: (2, -3)
Step-by-step explanation:
To find the the answer, you will need to use the midpoint formula, which is as following:
(x₁+x₂/2, y₁+y₂/2)
Since we have two coordinates, let's substitute them into the equation.
(7 + (-3 )/ 2, (-4) + (-2)/2)
We should first add 7 and -3 together, as well as -4 and -2.
(4/2, -6/2)
We then divide 4 and -6 by 2. This would give us our midpoint coordinate.
(2, -3)
First you open 2 parenthesis with x in each one:
(x )(x )=0
Then, you place the sign of the second term (the x term) in the first parenthesis.
(x+ )(x )=0
Next, you multiply the signs of the x term and the sign of the constant (the third term).
Since + × - = -, then you place a -.
(x+ )(x- )=0
You look at the constant (-18) and the second term (3). What two numbers multiplied give you -18 but subtracted (since the signs inside the parenthesis are opposite) give you 3? Those numbers are 6 and 3.
Since the result of the substraction need to be 3, you place the 6 with the + sign and the 3 with the negative sign (if you think of it, 6-3=3 but 3-6 = -3. That's the reason behind placing the numbers)
(x+6)(x-3)=0
Therefore,
x+6=0 or x-3=0
x=-6 or x=3
Your roots are -6 and 3.
Answer:
b = 5
Step-by-step explanation:
28.95 + 34b ≤ 200
34.05b ≤ 200 - 28.95
34.05b ≤ 171.05
b ≤ 5.023
b = 5 is the answer
check: 5 * 34.05 + 28.95 = 199.2
if b=6: 6 * 34.05 + 28.95 = 233.25
4+2+8+6 = 20 total
8 purple
so 8/20 reduced to 2/5 chance for a purple
then there will be 19 left
6 blue =
6/19 probability of having a blue one
2/5 * 6/16 = 12/80 reduces to 3/20 probability total