The a value of a function in the form f(x) = ax2 + bx + c is negative. Which statement must be true?
2 answers:
For this case we have a standard quadratic equation of the form:
As the function is negative then the following is true:
Therefore, when the leading coefficient is less than one then:
1) The parable opens down.
2) The cutting points with the x axis can be positive or negative
3) The cutoff point with the y axis can be positive or negative
4) The axis of symmetry can be to the right or to the left of zero.
5) The vertex of the parabola is a maximum and this is because the second derivative is negative.
Answer:
The vertex is a maximum.
As the function is negative then the following is true:
Therefore, when the leading coefficient is less than one then:
1) The parable opens down.
2) The cutting points with the x axis can be positive or negative
3) The cutoff point with the y axis can be positive or negative
4) The axis of symmetry can be to the right or to the left of zero.
5) The vertex of the parabola is a maximum and this is because the second derivative is negative.
Answer:
The vertex is a maximum.
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Answer:
A cone with base radius of 17 in
Step-by-step explanation:
Given
Triangle ABC
Where
AB = BC = 24in
D = Midpoint of AC
Required
Which best describes the resulting three-dimensional figure?
First, the length of the third side of the triangle has to be calculated
The sides of triangle ABC are AB, AC and BC
Given that the perimeter = 82 in
AB + AC + BC = 82
Recall that AB = BC = 24in; The equation becomes
Collect like terms
Given that, the triangle is rotated at D, the midpoint of AC
The length of the midpoint has to be calculated
At this point, we can dismiss options C and D.
This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.
So, we have option A and B to select from.
When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.
This implies that, a cone with base radius D is generated.
Recall that D = 17.
Hence, <em>A cone with base radius of 17 in</em>
Answer:
The 95% of confidence intervals
(2.84 ,2.99)
Step-by-step explanation:
A random sample of 20 accounting students results in a mean of 2.92 and a standard deviation of 0.16
given small sample size n =20
sample mean x⁻ =2.92
sample standard deviation 'S' =0.16
level of significance ∝ = 0.95
The 95% of confidence intervals
the degrees of freedom γ=n-1 =20-1=19
t-table 2.093
(2.92-0.0748,2.92+0.0748)
(2.84 ,2.99)
Therefore the 95% of confidence intervals
(2.84 ,2.99)
