Answer:
⇒ 
[Factorized form]
Step-by-step explanation:
Given expression:
We need to make 
the subject.
In order to do that we need to solve the expression for in terms of 
and 
We have,
Subtracting both sides by 
Taking square root both sides in order to remove square of
The difference of squares can be factorized and written as:
[difference of squares 
]
5280/25, ignoring the remainder, equals 211. That's the answer
Answer:
a = 5
Remainder when p(x) is divided by x+2 = 62
Step-by-step explanation:
Given:
P(x) = x⁴-2x³+3x²-ax+3a-7
When x+1 divides the polynomial p(x) the ramainder is 19.
Applying remainder theorem,
x = -1
p(-1) = 19
Substitute the x = -1 into the polynomial expression
p(-1) = (-1)⁴-2(-1)³+3(-1)²-a(-1)+3a-7 = 19
1+2+3+a+3a-7 = 19
6-7+4a = 19
4a-1 = 19
4a = 19+1
4a = 20
a = 20/4
a = 5.
Hence, a = 5
p(x) = x⁴-2x³+3x²-5x+8
If p(x) is divided by x+2,
Then the remainder is p(-2)
p(-2) = (-2)⁴-2(-2)³+3(-2)²-5(-2)+8
p(-2) = 16+16+12+10+8
p(-2) = 62
Hence the remaider when p(x) is divided by x+2 is 62
Answer:
Period: 2pi vertical shift: 2 units up
Step-by-step explanation:
The equation of the parabola that similar to f(x) = 
but the vertex is (3, 5) in the standard form is y = 
+ 5
The equation of the parabola
f(x) =
The standard vertex form of a parabola is
y = 
+ k
The coordinates of the vertex of a parabola = (3, 5)
Where (h, k) is the coordinates
From the given function of the parabola f(x) =
The value of a = 7
Substitute the values in the vertex form of a parabola
y = + 5
Hence, the equation of the parabola that is similar to f(x) = but the vertex is (3, 5) in the standard form is y = + 5
Learn more about vertex form here
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