Which graph represents the solution set to this system of equations? –x + 2y = 6 and 4x + y = 3 On a coordinate plane, a line go
es through (negative 1, negative 1) and (0, 3) and another line goes through (1, 4) and (2, 2). On a coordinate plane, a line goes through (negative 4, 0) and (0, 4) and another line goes through (negative 1, 1) and (0, negative 3). On a coordinate plane, a line goes through (0, 3) and (2, 4) and another line goes through (0, 3) and (1, 0). On a coordinate plane, a line goes through (0, 0) and (4, 3) and another line goes through (2, 5) and (4, 4).
2 answers:
Answer:
On a coordinate plane, a line goes through (0, 3) and (2, 4) and another line goes through (0, 3) and (0.75, 0).
This answer almost coincide with option C. I suppose there was a mistype.
Step-by-step explanation:
The system of equations is formed by:
–x + 2y = 6
4x + y = 3
In the picture attached, the solution set is shown.
The first equation goes through (0, 3) and (2, 4), as can be checked by:
–(0) + 2(3) = 6
–(2) + 2(4) = 6
The second goes through (0, 3) and (0.75, 0), as can be checked by:
4(0) + (3) = 3
4(0.75) + (0) = 3
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Answer:
a) It is expected to sell 560 cars.
b) The total amount invested is $145,000.
c)
m is the slope of the linear function, and represents <em>the additional amount of cars it will sell due to an additional dollar invested in advertising</em>. Its units of m is [cars/dollar].
b is the y-intercept and represent t<em>he amount of cars the company would sell if there is 0 dollars invested in advertising</em>. It may or not be a representative point in the real world (it depends on how accurate is the linear function and the range where it is valid). The unit of b is [cars].
Step-by-step explanation:
a) If the company invest $90,000, that is 3 times $10,000 plus the originals $60,000. Then, it is expected to sell 560 cars.
b) If the company sold 800 cars, we have 440 cars that corresponds to the original $60,000 and (800-440)=360 cars that correspond to the additional invest.
If an additional 40 cars are sold by an additional $10,000 invest, 340 cars are sold by 340*10,000/40= $85,000.
Then the total amount invested is 60,000+85,000=$145,000.
c) We can estimate the parameters m and b of the equation taking into account one known point ($60,000 corresponds to 440 sold cars) and the known variation (40 sold cars for every $10,000 invested).
Then we can use the known point to estimate b:
The equation is then
m is the slope of the linear function, and represents <em>the additional amount of cars it will sell due to an additional dollar invested in advertising</em>. Its units of m is [cars/dollar].
b is the y-intercept and represent t<em>he amount of cars the company would sell if there is 0 dollars invested in advertising</em>. It may or not be a representative point in the real world (it depends on how accurate is the linear function and the range where it is valid). The unit of b is [cars].
Answer:
Step-by-step explanation:
For this case we have:
Let:
x: number of points scored by Duncan
y: number of points scored by Eddie
We have:
(1)
(2)
Substituting (2) in (1):
Thus, Duncan could have scored a maximum of 62 points.
Answer:
points scored by Duncan.