Mathematics, 23.01.2020 22:31 kieramacphee3533

What does “trustworthy are the blows of a friend, dangerous, the kisses of an enemy.” mean?

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Answer from: Quest

here is me explaining it:

the pizza would be delivered around 5, give or take 15 minutes. this means it could be delivered anywhere from 4: 45 to 5: 15

let's say 5: 00 is equivalent to 0 on a number line and x represents time. 4: 45 would be equal to -15x because we are 15 minutes behind our starting point, 5: 00. 5: 15 would be equal to 15x because we are 15 minutes ahead of your starting point (which means you're late on the pizza delivery! )

absolute value is very confusing. the basic definition is how far you are from your starting point. if we deliver the pizza at 4: 45 (15 minutes before the starting point) we would be -15. this means we are 15 away from our starting point, 5: 00. that's the absolute value. |-15| (absolute value of negative fifteen) is equal to 15. if you did not understand this i suggest rereading this paragraph.

the normal way you would write this scenario would be 4.75 (4 and 3 quarters, or 4: 45. you can also write as a fraction.) is less than x and x is less than 5.25 (5 and 1 quarter or 5: 15). 4.75< x< 5.25 the reason why i am using numbers is because you cannot represent typical time as values on a graph, number line, or in an equation.

another way to write this scenario is with absolute value. we can write this as |x| being less than or equal to .25 (remember, this just means 15 minutes). |x| ≤ .25.

sorry if the end was confusing. because we are talking about time this whole question is 10x harder. like i said earlier, you cannot represent time as, well, time, in a graph, equation, or number line. i set the values as follows: 1/4 or .25 for 15 minutes, and 1 for 1 hour. this is just a common way to set up graphs involving time.

|x| ≤ .25

i hope this ! : )

tell me if you need more assistance

Answer from: Quest

The area of rhode island is about 1,212 square miles

Answer from: Quest

we are given polynomial 2x^2 +4x +7.

we need to determine the number of roots of the given polynomial using the fundamental theorem of algebra.

a) for the given polynomial 2x^2+4x+7, we have degree =2.

therefore, according to the fundamental theorem of algebra, the polynomial can have at most 2 roots.

b) let us find the roots of the given polynomial.

2x^2+4x+7= 0

$\mathrm{for\: a\: quadratic\: equation\: of\: the\: form\: }ax^2+bx+c=0\mathrm{\: the\: solutions\: are\: }$

$\quad x_{1,\: 2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{for\: }\quad a=2,\: b=4,\: c=7: \quad x_{1,\: 2}=\frac{-4\pm \sqrt{4^2-4\cdot \: 2\cdot \: 7}}{2\cdot \: 2}$

$x=\frac{-4+\sqrt{4^2-4\cdot \: 2\cdot \: 7}}{2\cdot \: 2}=\quad -1+i\frac{\sqrt{10}}{2}$

$x=\frac{-4-\sqrt{4^2-4\cdot \: 2\cdot \: 7}}{2\cdot \: 2}=\quad -1-i\frac{\sqrt{10}}{2}$

therefore, roots are $x=-1+i\frac{\sqrt{10}}{2}, \: x=-1-i\frac{\sqrt{10}}{2}$ .

Answer from: Quest

Bis the !

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