Answer:
The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)
Step-by-step explanation:
we have
This is a vertical parabola open upward (the leading coefficient is positive)
The vertex is a minimum
The coordinates of the vertex is the point (h,k)
step 1
Find the vertex of the quadratic function
Factor the leading coefficient 2
Complete the square
Rewrite as perfect squares
The vertex is the point (-\frac{3}{4},-\frac{49}{8})
step 2
Find the x-intercepts (values of x when the value of f(x) is equal to zero)
For f(x)=0
take the square root both sides
therefore
The function f(x) is negative in the interval (-2.5,1)
The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)
see the attached figure to better understand the problem
The answer to this question is 99/4, or 24.75, or 24 3/4.
They are all the same answer
I hope this helps!!!!!!
A = 2
b = 2
c = -4
"a" is greater than zero so the vertex is a minimum point and the graph is concave up.
The (x,y) point of the vertex is usually designated by the letters (h, k)
The "x" position (or "h") is calculated with this formula:
h = -b / 2a
h = -2 / 4
h = -1 / 2
"k" is calculated with this equation:
k = ah^2 + bh +c
k =(2*-1 / 2 * -1 / 2) + (2 * -1 / 2) + -4
k = (1 / 2) - 1 -4
k = -4.5
so the vertex is at point (-.5, -4.5)
Source:
http://www.1728.org/quadr3.htm
Answer:
its the first one or the last one
Step-by-step explanation:
i got the same thing on the graph sry
Answer:
The smallest diameter of wrapper that will fit the candy bar is 6 cm
Step-by-step explanation:
The smallest diameter of the wrapper will have to be the length of the line AC.
We can observe that there are two similar triangles present in the shape there.
We have triangle ADE and triangle DCF
They are similar because their left side, base length, and right angle are equal.
We are given the length of the side AD for triangle ADE.
From the rules of similar triangles, we have that side DC will also equal 3 cm. because the two triangles are similar.
Hence AC will be 3cm + 3cm = 6 cm
The smallest diameter of wrapper that will fit the candy bar is 6 cm
