Answer:
50
Step-by-step explanation:
From the circle graph :
Salad sold :
Caesar = 70%
Garden = 16%
Taco = 14%
If 35 of the salad sold were Caesar ;
Then ; this means
70% = 35
Total salad sold %= (70+16+14)% = 100%
Let total sales = x
70% = 35
100% = x
Cross multiply :
70% * x = 100% * 35
0.7x = 35
x = 35 / 0.7
x = 50
9514 1404 393
Answer:
a = 36
Step-by-step explanation:
A stationary point is where the function derivative is zero. Here, we have ...
y' = 2kx -16/x^2 = 0
For x = 2/3, this is ...
4/3k -16/(4/9) = 0
4/3k = 36
k = 27
Then the value of y at that point is ...
y = 27(2/3)^2 + 16/(2/3) = 12 +24 = 36
The stationary point of interest is (2/3, a) = (2/3, 36). a = 36.
1. Determine y-intercept.
<em>The y-intercept is (0,-3). Substitute x = 0 in the equation as we get f(x) = -3 as the y-intercept.</em>
2. Determine the zeros.
<em>Factor the polynomials first. </em> <em>This is the factored form. The zeros are the roots of equation. Therefore, the zeros are 1/2 and -3/2</em>
3. Determine the Axis of Symmetry
<em>We can solve this by using the formula of </em> <em>However, I'll be solving the Axis of Symmetry with Calculus instead.</em>
<em /><em />
<em>Then let f'(x) = 0 to find the Axis of Symmetry.</em>
<em /><em />
<em>Therefore, the Axis of Symmetry is -1/2</em>
4. Determine the vertex.
<em>Substitute the value of Axis of Symmetry in f(x).</em>
<em /><em />
<em>Therefore the vertex is at (-1/2, -4)</em>
5. Does the vertex representing max-pont or min-point?
<em>The vertex represents the minimum point. The graph is upward, meaning the minimum point is the point that gives the LOWEST Y-VALUE. </em>
7. Graph f(x)
<em>Unfortunately I won't be able to graph. But I can tell you to graph a parabola that has the most curve at the vertex and intercepts y-axis at (0,-3).</em>
<em>--------------------------- </em>End of Part 1 --------------------------------
2. Write the general form of Quadratic Function in standard form.
<em>The graph can be easily determined about the y-intercept and being an upward or downward parabola along with how narrow or wide the parabola is. </em>
<em>For example, c value is the y-intercept as defined. When a > 0, the parabola is upward and when a < 0, the parabola is downward. The more value of | a | is, the more narrow it will be and the less value of | a | it is, the wider it will be.</em>
3. Write in Factored Form
<em>These are factored forms with different types of operators.</em>
<em>The equation can be easily determined about the roots of equation. For example, if the function is in f(x) = (x+2)(x-1) Then the roots would be x = -2 and 1 as the graph will intercept x-axis at (-2,0) and (1,0)</em>
4. Write in Vertex Form.
<em>The equation can be easily determined for the vertex, axis of symmetry and the same narrow/wide/upward/downward parabola again.</em>
<em>The vertex is at (h,k) and the axis of symmetry is at x = h.</em>
<em>For example, </em><em />
<em>The vertex would be at (2,3) and the axis of symmetry is x = 2.</em>