Hi there!
To derive an equation given the points, we can use the slope formula:
Plug in the corresponding coordinates:
Simplify:
Therefore, we have:
y = -4x + b
Plug in the x and y values for a coordinate to solve for b:
2 = -4(1) + b
2 = -4 + b
b = 6
The equation is:
y = -4x + 6. The correct answer is D.
Simplified it's 576x^8y^7
Answer:
There are 15 numbers of chicken and 25 numbers of bulls.
Step-by-step explanation:
The pen had chickens and bulls. The pen contains 40 animals in total. The number of legs in the pen is 130 .
Let
a = number of chicken
b = number of bull
a + b = 40................(i)
A chicken has 2 legs and a bull has 4 legs.
The total legs can be represented as
2a + 4b = 130...........(ii)
combine the equation
a + b = 40................(i)
2a + 4b = 130...........(ii)
a = 40 - b
insert the value of a in equation(ii)
2(40 - b) + 4b = 130
80 - 2b + 4b = 130
80 + 2b = 130
2b = 130 - 80
2b = 50
divide both sides by 2
b = 50/2
b = 25
Insert the value of b in equation (i)
a + b = 40
a + 25 = 40
a = 40 - 25
a = 15
There are 15 numbers of chicken and 25 numbers of bulls.
Answer:
The answer is B) -3 and 1/3
Explanation:
The answer must be between -3 and -4 because that is the location on the plot.
You count two ticks on the plot. The first one is 1/3. The second one is 2/3.
There is no third one because 3/3 would bring you to the next number.
The dot is on the first tick, meaning that it is 1/3. If the dot is between -3 and -4, you can conclude that the answer is -3 and 1/3.
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Answer:
(1/3)(n - 4) = 1/6
Step-by-step explanation:
Let the number be n. Then the given phrase can be written symbolically as (1/3)(n - 4) = 1/6. This is the second answer choice.
