Mathematics, 01.10.2019 18:00 gvizabal

Describe the location of the sun relative to p on a number line. p+3

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Answer from: Quest

d no solution

step-by-step explanation:

Answer from: Quest

i think it's eleven too, don't woosh me here, but according to the "experts" it's 2.

the proof starts from the peano postulates, which define the natural

numbers n. n is the smallest set satisfying these postulates:

p1. 1 is in n.

p2. if x is in n, then its "successor" x' is in n.

p3. there is no x such that x' = 1.

p4. if x isn't 1, then there is a y in n such that y' = x.

p5. if s is a subset of n, 1 is in s, and the implication

(x in s => x' in s) holds, then s = n.

then you have to define addition recursively:

def: let a and b be in n. if b = 1, then define a + b = a'

(using p1 and p2). if b isn't 1, then let c' = b, with c in n

(using p4), and define a + b = (a + c)'.

then you have to define 2:

def: 2 = 1'

2 is in n by p1, p2, and the definition of 2.

theorem: 1 + 1 = 2

proof: use the first part of the definition of + with a = b = 1.

then 1 + 1 = 1' = 2 q.e.d.

note: there is an alternate formulation of the peano postulates which

replaces 1 with 0 in p1, p3, p4, and p5. then you have to change the

definition of addition to this:

def: let a and b be in n. if b = 0, then define a + b = a.

if b isn't 0, then let c' = b, with c in n, and define

a + b = (a + c)'.

you also have to define 1 = 0', and 2 = 1'. then the proof of the

theorem above is a little different:

proof: use the second part of the definition of + first:

1 + 1 = (1 + 0)'

now use the first part of the definition of + on the sum in

parentheses: 1 + 1 = (1)' = 1' = 2 q.e.d.

Answer from: Quest

Look, when you want to do something like ${x}^{2}$ put it like x^2. x2 could mean x² or x₂. so to clear confusion, know the notation. to find the product multiply the x's and you get -8x and the y's and you get 6y. since it's all being multiplied it is just -8x6y, or answer a. although the better answer is -48xy(combining -8 and 6) because you should multiply constants whenever you can.

Answer from: Quest

the speed is $135$ miles per hour > is false

step-by-step explanation:

we know that

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

$y/x=k$

for the point $(1.5,90)$

substitute the values of x and y

$k=90/1.5=60\ miles/hour$

the linear equation is equal to

$y=60x$

statements

case a) it takes $2$ hours to go $120$ miles

the statement is true

because

substitute

for $x=2$

find the value of y in the linear equation

$y=60(2)=120\ miles$ > is correct

case b) the speed is $135$ miles per hour

the statement is false

because the speed is $60\ miles/hour$

case c) the unit rate for the trip is $60\ miles/hour$

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took $20$ minutes to go the first $20$ miles

the statement is true

because

substitute

for $x=20\ minutes=(1/3)\ hour$

find the value of y in the linear equation

$y=60(1/3)=20\ miles$ > is correct

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