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3 years ago

Which expression is equivalent to the expression for the perimeter of the larger garden. Select all the apply.

Mathematics

1 answer:

Sliva [168]3 years ago

3 0

Answer:

Option A, 4X + 40 expression is equivalent to the expression for the perimeter of the larger garden

Step-by-step explanation:

The complete question is

A garden is 15 feet long by 5 feet wide. The length and width of the garden will each be increased by the same number of feet. This expression represents the perimeter of the larger garden: (x+15)+(x+5)+(x+15)+(x+5). Which expression is equivalent to the expression for the perimeter of the larger garden? Select all that apply.

4x+40
2(2x+20)
2(x+15)(x+5)
4(x+15)(x+5)
2(x+15)+2(x+5)

Solution

The expression for the perimeter of the larger garden: $(x+15)+(x+5)+(x+15)+(x+5)$

If the given expression is expanded and solved, we get the following

$(x+15)+(x+5)+(x+15)+(x+5)\\X+X+X+X + 15+15+5+5\\2X+2X+30+10\\4X +40$

Hence, option A is correct

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What are the real and complex solutions of the polynomial equation? x^4-41x^2=-400. *work needed*

pickupchik [31]

<h3>Answer: x = -5, -4, 4 and 5.</h3><h3>All four zeros are real solutions.</h3>

Step-by-step explanation:

Given the polynomial equation $x^4-41x^2=-400$ .

Adding 400 on both sides to get rid 400 from right side and set 0 on right side, we get

$x^4-41x^2+400=-400+400$ .

$x^4-41x^2+400=0$ .

Factoring by product sum rule.

We need product of 400 and sum upto -41.

We can see that 400 = -25 × -16 = 400 and -25-16 = -41.

Therefore,

$x^4-25x^2-16x^2+400=0$

Making it into two groups, we get

$(x^4-25x^2)+(-16x^2+400)=0$

Factoring out GCF of each group, we get

$x^2(x^2-25)-16(x^2-25)=0$

$(x^2-25)(x^2-16) =0$

Factoring out $(x^2-25)$ and $(x^2-16)$ separately by difference of the squares identity $a^2-b^2=(a-b)(a+b)$ , we get

$(x^2-25) = x^2-5^2= (x-5)(x+5)$ and

$x^2-16 = x^2-4^2 =(x-4)(x+4)$ .

Therefore,

$(x-5)(x+5)(x-4)(x+4) =0$

Applying zero product rule,

x-5=0

x+5=0

x-4=0 and

x+4=0.

Therefore,

<h3>x = -5, -4, 4 and 5.</h3><h3>All four zeros are real solutions.</h3>

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3 years ago

For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range.

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f ( x ) = - ( x + 1)^2 + 4

_____________________

Vertex = ( - 1 , 4 )

♡♡♡♡♡♡♡♡♡♡♡♡

Domain = R

♡♡♡♡♡♡♡♡♡♡♡♡

Range = ( - infinite , 4 ]

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3 years ago

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Thepotemich [5.8K]

Answer:

D' (-4,-2)

E' (-1,2)

F' (2,-4)

Step-by-step explanation:

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Step-by-step explanation:

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Use the graph representing bacteria decay to estimate the domain of the function and solve for the average rate of change across

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Answer:

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Step-by-step explanation:

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