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tangare [24]
2 years ago
14

A rectangular garden has length and width as given by the expressions below. Length: 4 − 7(3x + 4y) Width: 3x(−2y) Write a simpl

ified expression for the perimeter of the rectangle.
Mathematics
1 answer:
liraira [26]2 years ago
4 0

Answer:

Step-by-step explanation:

Length of the garden = 4 - 21*x - 28*y

Width of the garden = -6*x*y

Perimeter of the garden = 2*(Length + Width)

P = 8 - 42*x - 56*y - 12*x*y

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3 years ago
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Use algebraic means to show that x^2 + y^2 = 8 is not a function. Explain your process.
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Answer:

For a single value of x function has more than one corresponding value of y which satisfies the equation.

Step-by-step explanation:

Function: A relationship between a set of inputs and a set of possible outputs, where exactly one output is associated with each input.

It means for an equation to represent a function any single value of  x there should be only one corresponding value of  y which satisfies the equation.

Now consider the given equation.

x^2 + y^2 = 8

If we put x=0 then we get two value of y i.e \sqrt8 and -\sqrt8 which satisfy the equation  and therefore the equation is not a function.

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For the polynomial function ƒ(x) = x4 −25x2, find the zeros. Then determine the multiplicity at each zero and state whether the
AfilCa [17]

<u>ANSWER</u>

The zeros are x=-5,x=0,x=5


EXPLANATION

Given;

f(x)=x^4-25x^2.


We can rewrite the function as


f(x)=x^2(x^2-25)


\Rightarrow f(x)=x^2(x^2-5^2)


\Rightarrow f(x)=x^2(x-5)(x+5)



The zeros are found by equating the function to zero.


\Rightarrow x^2(x-5)(x+5)=0


\Rightarrow (x-5)=0

The multiplicity is 1, since it is odd the graph crosses at this intercept. which is x=5


Or

\Rightarrow (x+5)=0


The multiplicity is 1, since it is odd the graph crosses at this intercept. which is x=-5


Or


\Rightarrow x^2=0


This last root has a multiplicity of 2.

That is

x=0 repeats two times.


Since the multiplicity is even, the graph touches the x-axis at the point x=0.



See graph.









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Which description represents the expression 5 x−95 x−9 ?
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9 is subtracted from the sum of 5 and a number
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