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3 years ago

Factoring 3xsquared + 14x +20

1 answer:

6 0

The equation (3xsquared+ 14x + 20 = 0) has no real roots, so there are no factors made of only real numbers.

The factors are [ -7 plus and minus ( i x square root of 11 ) ]

" i " is the square root of -1 .

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soldier1979 [14.2K]

Answer:
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3 years ago

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Use 3.14 for r. Round your answers to

galben [10]

Answer:

I think its A........ I don't really know.

Step-by-step explanation:

5 x 2 = 10

3.14 x 10 = 31.4

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Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter

mezya [45]

Answer:

Dimensions: $A=a\cdot b=256$

Perimiter: $P=2a+2b$

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

$A=a\cdot b=256$

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

$b=\frac{256}{a}$

The function we want to optimize is the diameter.

We can express the diameter as:

$P=2a+2b=2a+2*\frac{256}{a}$

To optimize we can derive the function and equal to zero.

$dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16$

The minimum perimiter happens when both sides are of size 16 (a square).

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3 years ago

Sarah is saving to buy a new phone. She needs $150, and she has already saved $63. Write an equation to model this situation. Le

Lena [83]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.
If Sarah is saving to buy a new phone. She needs $150, and she has already saved $63 then the equation should be $63 + x = $150

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