Answer:
d. 8yx^2
Step-by-step explanation:
Multiply the coefficients: 2 x 4 = 8
Multiply the exponents by adding them together: -2 + 4 = 2
Answer:
x = -5 and y = 8
Step-by-step explanation:
To solve the system by substitution, solve one equation for a variable. Then substitute the equation into the other equation.
x + 2y = 11 becomes x = 11 - 2y
Substitute x = 11 -2y into 4x + 4y = 12.
4(11-2y) + 4y = 12
44 - 8y + 4y = 12
44 - 4y = 12
32 = 4y
y = 8
Substitute again with y = 8 into the equation to find x.
x = 11 - 2(8)
x = 11 - 16
x = -5
(–4, 3) (4, –3) (–3, –4) (3, 4)
this is a rather simple yet complex concept the easiest way to solve these is to do the exact opposite.
so in this instance it is refrcted across the y-axiss so we swap ONLY the x value NOT the Y ie (-4,3) would switch to (4,3)
same thing would apply if it reflected across x-axis ex (-4,-3)
If it reflect across orgin you change both signs. ex (4,-3)
ie.
(–4, 3) (4, –3) (–3, –4) (3, 4)
changes to
(4, 3) (-4, –3) (3, –4) (-3, 4)
hope it helps
Answer:
O x-+13
Step-by-step explanation:
This is a case of joint probability: you want to know what the odds are of this event AND that event occurring. For a joint probability, the formula is usually given as:
P(A and B)=P(A)*P(B)
where P(A) is the probability of event A happening, P(B) is the probability of event B happening, and P(A and B) is the probability of both happening.
For this problem, let's say that event A is the probability that the spinner stops at the green color. Since the spinner has 3 colors and they have equal area (sector) occupied in the circle, each color has the same chance, 1/3 chance of being picked. Thus, there's a 1/3 chance of the spinner stopping at the green color so P(A)=1/3.
Event B is the probability of Jordan picking up the yellow card. There are six possible colors to pick and since Jordan picked up the card without peeking, each color has an equal chance to be picked. Thus, there's a 1/6 chance that the yellow card will be selected so P(B)=1/6.
Using the formula, we can then calculate P(A and B), the probability that the spinner stops at green and a yellow card is selected:
P(A and B)=P(A)*P(B)=1/3*1/6=1/18
