Answer:
(a) 2% (b) 15
Step-by-step explanation:
(a):
80 - blue (32%)
60 - white (24%)
50 - red (20%)
45 - black (18%)
10 - silver (4%)
Total: 245
5 - other (2%)
(b):
60 - white
45 - black
Difference: 15
The simple/ <span>common sense method:
</span>The typical lay out of a quadratic equation is ax^2+bx+c
'c' represents where the line crosses the 'y' axis.
The equation is only translated in the 'y' (upwards/downwards) direction, therefore only the 'c' component of the equation is going to change.
A translation upwards of 10 units means that the line will cross the 'y' axis 10 places higher.
9+10=19,
therefore <u>c=19</u>.
The new equation is: <u>y=x^2+19 </u>
<span>
<span>The most complicated/thorough method:
</span></span>This is useful for when the graph is translated both along the 'y' axis and 'x' axis.
ax^2+bx+c
a=1, b=0, c=9
Find the vertex (the highest of lowest point) of f(x).
Use the -b/2a formula to find the 'x' coordinate of your vertex..
x= -0/2*1, your x coordinate is therefore 0.
substitute your x coordinate into your equation to find your y coordinate..
y= 0^2+0+9
y=9.
Your coordinates of your vertex f(x) are therefore <u>(0,9) </u>
The translation of upward 10 units means that the y coordinate of the vertex will increase by 10. The coordinates of the vertex g(x) are therefore:
<u>(0, 19) </u>
substitute your vertex's y coordinate into f(x)
19=x^2+c
19=0+c
c=19
therefore <u>g(x)=x^2+19</u>
Answer:
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Step-by-step explanation:
Answer:
50
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if 
are the zeros of the cubic polynomial , then ,
Here in place of the Greek letters , substitute 2,i and -i , we get ,
Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,
Simplify using i = √-1 ,
Multiply by distribution ,
Simplify by opening the brackets ,
Rearrange ,
