Find the x- and y-intercept of the parabola y = x² + 4x + 2
1 answer:
Answer:
x-intercept = (- 2 + √2, 0) (- 2 - √2, 0)
y-intercept = (2, 0)
Step-by-step explanation:
<u>Given expression</u>
y = x² + 4x + 2
<u>Find the x-intercept</u>
<em>Definition of x-intercept is the point that intersects with the x-axis, which means the y value is 0</em>
(0) = x² + 4x + 2
(x + 2 - √2) (x + 2 + √2) = 0
x = -2 ± √2
Therefore, the x-intercepts are
<u>Find the y-intercept</u>
<em>Definition of x-intercept is the point that intersects with the y-axis, which means the x value is 0</em>
y = (0)² + 4(0) + 2
y = 0 + 0 + 2
y = 2
Therefore, the y-intercept is
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Changing the given expression to radical form, we can write:
216 is the cube of 6 i.e. multiply 6 three times (6 x 6 x 6), you will get 216.
So we can write the above expression as:
The cube root and cube cancel out each other, leaving the answer equal to 6.
So, the correct answer is option B
Answer:
d) 0.0132
Step-by-step explanation:
In a sample of size n, with proportion p, the standard error of the proportion is:
In this problem, we have that:
So
So the correct answer is:
d) 0.0132