Which of the points plotted below satisfy the equation in the box?
Check all that apply.
Answers
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equation 1
5x–4y=16
and
equation 2
x–2y=6
we know that
Part A) the x-intercept is when y=0
equation 1
5x–4y=16
for y=0
5x=16--------> x=16/5---> x=3.2
the point is (3.2,0)
equation 2
x–2y=6
for y=0
x=6
the point is (6,0)
Part B) the y-intercept is when x=0
equation 1
5x–4y=16
for x=0
-4y=16-------> y=-4
the point is (0,-4)
equation 2
x–2y=6
for x=0
-2y=6------> y=-3
the point is (0,-3)
the answer is
the coordinates of the points of intersection are
equation 1
5x–4y=16
(3.2,0) and (0,-4)
equation 2
x–2y=6
(6,0) and (0,-3)
Final answer:
To find the coordinates of the points of intersection of two graphs without building them, solve the given system of equations. The coordinates of the points of intersection of the graphs 5x - 4y = 16 and x - 2y = 6 are approximately (-8.67, -2.33).
Explanation:
To find the coordinates of the points of intersection of the graphs without building them, we can solve the given system of equations: 5x - 4y = 16 and x - 2y = 6.
Step 1: We can solve the second equation for x: x = 6 + 2y.
Step 2: Substitute the value of x from Step 1 into the first equation: 5(6 + 2y) - 4y = 16.
Step 3: Simplify and solve for y: 30 + 10y - 4y = 16. Combine like terms: 6y = -14. Divide by 6: y = -7/3.
Step 4: Substitute the value of y from Step 3 into the second equation to find x: x - 2(-7/3) = 6. Simplify: x + 14/3 = 6. Subtract 14/3 from both sides: x = -26/3.
Therefore, the coordinates of the points of intersection are (-26/3, -7/3) or approximately (-8.67, -2.33).
Learn more about Graphs and Equations here:
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a. 3%
b. 30%
c. 300%
d. 3000%
Answers
Answer:
c. 300%
Step-by-step explanation:
In order to solve this problem you just have to divide the bigger polyhedral by the smaller polyhedral:
As this is equal to 3, you know that the bigger polyhedral is 3 times bigger than the smaller polyhedral so now you just make a rule of three, if an object that is 100% bigger than other is 1 time bigger, what would be the percentage of an object that is 3 times bigger?
Once you clear the X the equation would look like this:
V(B)/V(A)=900/300=3=300/100=300%
Answers
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
Answer: the answer is 1/18, got it right on the test
12x + 2y = 18
Answers
Answer:
(1, 3) a solution to the system of equations
8x + y = 11
12x + 2y = 18
Step-by-step explanation:
ay están todos los deberes de la semana pasada gunnorni
Answer:
x=1 and y=3
Step-by-step explanation:
yes x=1 and y=3 is the solution for the equation.just by making y in the first equation subject of the formula and replacing in the second equation.
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