Answer:
x=0 and y=2
Step-by-step explanation:
We have been given system of equations:
2x+5y=10 (1)
And 2x+3y=6 (2)
Subtract equation (2) from(1) we get:
2y=4
y=2
Now, substitute y=2 in equation(2) we get:
2x+3(2)=6
2x+6=6
2x=0
x=0
Hence, x=0 and y=2
For this case we must complete squares:
We add the square of half the coefficient of the term "x",
on both sides of the equation:
According to the perfect square trinomial we have:
Rewriting the expression we have:
ANswer:
Answer:
if youre answer has to be a whole number it would be 3 otherwise it would be x<4 ( so anything less than 4 )
Step-by-step explanation:
so because we are trying to find which company is less, we need to set up in inequality.
so first lets do company A
because 15 is our reoccuring fee, its going to be the coeifficient
so the equation would be
A - 15x + 20
now lets do company B
because it only 20 every month we dont need to have a constant which means the equation for B would be
B - 20x
so lets put it all together
15x + 20 > 20x ( remember our B side has to be less )
now lets solve it
20 > 5x
we know that if x = 4 then the two would be equal, which means our answer would have to be 3 months.
now always check your work.
15 (3) + 20 = 65
20(3) = 60
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Answers:</h3>
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Explanation:
The scale factor is 2, which means we double each coordinate of each point. The general rule is 
with k = 2. So we can say the more specific dilation rule is 
Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.
The given preimage points
- V = (-2, -1)
- W = (-2, 2)
- X = (0, 2)
- Y = (3, -1)
will dilate to the corresponding image points
- V ' = (-4, -2)
- W ' = (-4, 4)
- X ' = (0, 4)
- Y ' = (6, -2)
as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.
The equation given in the question has to be answered to the nearest tenth. The only thing that one should be careful about is the cross multiplication part. Other than that there is no difficulty in the given problem. Now let us get down to the equation in the question.
15/30 = n/34
30 * n = 15 * 34
30n = 510
n = 510/30
= 51/3
= 17
So the value of the unknown variable "n" comes out to be 17.
