What is a linear equation that intersects y = x2 at TWO points?
1 answer:
<h3>Answer:</h3>
- y = x intersects at 2 points
- y = -2x-1 intersects at 1 point
- y = x-2 intersects at 0 points
Any line with a y-intercept greater than 0 will intersect y = x² at two points, as will any line with a non-zero slope and a y-intercept of zero. I have chosen the line y = x to answer this question.
Any tangent line will intersect y = x² at one point. A tangent line will have slope 2x at the point (x, x²). Here, we have chosen to write the equation for the tangent at (x, y) = (-1, 1). That line has equation y = -2x-1.
Any line with a negative y-intercept and a sufficiently small slope will not intersect the curve y = x². (The slope needs to have a magnitude less than double the magnitude of the y-intercept.) Here, we have chosen a line with slope 1 and y-intercept -2: y = x-2.
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Answer:
B) .
Step-by-step explanation:
The vertex form of the equation is given by .
We plug in the vertex to obtain:
.
Since the graph passes through (5,5) and (9,5), they must satisfy its equation.
.
.
Divide both sides by 4.
Therefore the equation is:
.
Answer:
b = 115.4 feet
Step-by-step explanation:
b^2 = a^2 + c^2 - 2 (a)(b) x cos B
b^2 = 230^2 + 360^2 - 2(230)(360) x cos(38 degrees)
b^2 = 52,900 + 129,600 - 2(230)(360) x cos(38 degrees)
b^2 = 182,500 - 165,600 x cos(38 degrees)
b =
b = 115.4 feet
i hope this helps!! :)
Answer:
Option B , C , E are characteristics of the function .
Step-by-step explanation:
Given : function f(x)=2(x-4)^5.
To find : What are the characteristics of the function .
Solution : We have given that f(x)=2.
By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.
Since , Option E is correct.
It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.
Option C is also correct.
By transformation rule it is vertical stretch and shift to right (B )
Therefore, Option B , C , E are characteristics of the function .