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iogann1982 [59]
2 years ago
15

Hence explain how you know that x^2-8x+20 is always positive

Mathematics
2 answers:
Tasya [4]2 years ago
6 0

If you complete the square you get

{(x - 4) }^{2}  + 4

and as any number squared is positive and 4 is positive, the result must be positive

Leya [2.2K]2 years ago
6 0

Answer:

x^2-8x+20=x^2-2*x*4+4^2+4=(x-4)^2+4

so (x-4)^2 is positive or zero (but +4  is always positive)

Step-by-step explanation:

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olga_2 [115]

Answer:

a) About 12%

Step-by-step explanation:

We need to find the interest rate required to achieve her goal, so we will need to use the interest-compound formula:

FV=PV(1+i)^{n}

Where:

PV= Present Value

i= interest rate

FV= Future Value

n= number of periods

replacing the data provided:

150.000=50.000(1+i)^{10}

solving for i:

first, divide both sides by 50.000 to simplify the equation:

3=(1+i)^{10}

Take 10^{th} roots of both sides:

1+i=±\sqrt[10]{3}

solve for i:

i=±\sqrt[10]{3} -1

We get two answers, but we look for a coherent value. So we take the positive one:

i=11.6123174≈12

6 0
2 years ago
Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7
deff fn [24]
The answer would be $1.75 (Rounded off to the nearest cent).

Substitute the given cost of each pint of fruit to the equation. Transpose and simplify, to get the price of a pint of veggies.
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6 0
2 years ago
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Refer to the diagram below

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1 year ago
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Answer:

zero  (0)

Step-by-step explanation:

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hope you understand my answer, thank you.

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