Answer:
yes
Step-by-step explanation:
The line intersects each parabola in one point, so is tangent to both.
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For the first parabola, the point of intersection is ...
y^2 = 4(-y-1)
y^2 +4y +4 = 0
(y+2)^2 = 0
y = -2 . . . . . . . . one solution only
x = -(-2)-1 = 1
The point of intersection is (1, -2).
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For the second parabola, the equation is the same, but with x and y interchanged:
x^2 = 4(-x-1)
(x +2)^2 = 0
x = -2, y = 1 . . . . . one point of intersection only
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If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.
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Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.
Answer:
y = 0.75x + 1
Step-by-step explanation:
Here, we want to write an equation in slope-intercept form to represent this information
Since $1 is the cost of 1 only, this represents our y intercept
It means if we are not interested in purchasing more than 1, our cost will be $1
Now, for each one bought after, we have a rate of $0.75 per one
Mathematically, that will be $0.75 times the number bought after
Hence. we have that;
y = 0.75x + 1
if 1, x = 0; so we have cost of 1 as $1
Answer:
The chi-square null hypothesis for the study that "socioeconomic status is related to smoking behavior" is False
Step-by-step explanation:
The chi-square null hypothesis is false because the chi-square null hypothesis states that no relationship exists on the categorical variables in a population, they are all independent of each other.
Answer:
26.3
It’s really simple actually