Answer:
Step-by-step explanation:
Given equation is,
y = 3x² - 6x + 11
a). y = 3x² - 6x + 11
= 3(x² - 2x) + 11
= 3(x² -2x + 1 - 1) + 11
= 3(x² - 2x + 1) - 3 + 11
= 3(x - 1)² + 8
Comparing this equation with y = a(x - b)² + c
a = 3, b = 1 and c = 8
b). For minimum value of x,
Since, vertex of the graph is given by (b, c),
Minimum value of x will be,
x = b
x = 1
c). Vertex of the parabola → (b, c)
→ (1, 8)
For y-intercept,
By substituting x = 0 in the equation,
y = 3(0 - 1)² + 8
y = 11
Now we can sketch the graph by using the table of input - output values.
x -2 -1 0 1 2 3
y 35 20 11 8 11 20
Answer:
<u>The quantity is US$ 58, which 6.5% is US$ 3.77 </u>
Step-by-step explanation:
Number = x
6.5% of x = $ 3.77
6.5% = 0.065 = 65/1,000 = 13/200 (Dividing by 5)
3.77 = 3 + 77/100 (We can't simplify 77/100)
Thus,
13/200 * x = 3 77/100
13x/200 = 377/100
13x = 754 (Multiplying by 200 at both sides)
x = 754/13 (Dividing by 13 at both sides)
<u>x = 58</u>
<h2>9x^4 - 6x^2 - 3x - 6</h2><h2 />
(9x^4-13x^3-x-7)+(7x^3-2x+1)
Sort the terms by their powers, as x's with the same powers can be added together:
9x^4
-13x^3 + 7x^3 = -6x^3
-x - 2x = -3x
-7 +1 = -6
<h2>9x^4 - 6x^2 - 3x - 6</h2>
Product means to multiply.
Simply
9*12= 108
:-)
Answer:
10/3 or 3.33333
Step-by-step explanation:
<u>Images Below</u>
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Hope this Helps
