Answer:
y = √(x - 3)
Step-by-step explanation:
The graph shown has exactly the same shape as does the graph of y = √x, EXCEPT that the entire graph of y = √x has been translated 3 units to the right. Thus, the function describing this graph is y = √(x - 3).
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Answer:
The expression x^3 + ax^2 - 15x + b has a factor of x – 2 and leaves a remainder 75 when divided
by x + 3. Find the value of a and of b.
Let p(x) = x3 + ax2 + bx +6
(x-2) is a factor of the polynomial x3 + ax2 + b x +6
p(2) = 0
p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0
7 +2 a +b = 0
b = - 7 -2a -(i)
x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.
p(3) = 3
p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3
11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)
Equating the value of b from (ii) and (i) , we have
(- 7 -2a) = (-10 - 3a)
a = -3
Substituting a = -3 in (i), we get
b = - 7 -2(-3) = -7 + 6 = -1
Thus the values of a and b are -3 and -1 respectively.
Answer:
23π
--------- radians
18
Step-by-step explanation:
To convert degrees to radians, multiply by
π
------- , since a full circle is 360° or 2π radians.
π
230°⋅ -------- radians
180°
π
Combine 23 and -----
18
23π
. --------- radians
18
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