Mathematics, 16.09.2019 18:30 Michaelpem1789

Which statement about proportional relationships is false?
a proportional relationship must graph as a line.
a graph of a proportional relationship musi pass through (0, ).
each point (or pair a proportional relationship must share the same ratio.
each point (or pair) in a proportional relationship must share the same difference.
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Answer from: destinymitchell966

Each point (or pair) in a proportional relationship must share the same

difference ⇒ last answer

Step-by-step explanation:

Lets explain the meaning of proportional relationships

- Two quantities have a proportional relationship if they can be

expressed in the general form y = k x, where k is constant

- From y = k x, then $\frac{y}{x}=k$ , where k is constant that

means the quantities are always share the same ratio k

- The graph of the y = k x must be a line, then the graph of a

proportional relationship must be a line

- If x = 0 then y must be equal zero, that means the graph of a

proportional relationship must pass through (0 , 0)

- Sometimes the two quantities share the same difference but not

share the same ratio then they are not in proportional relationship

- Ex: (0 , 4) , (2 , 10) , (4 , 16) , (6 , 22) all the ordered pair share the

same difference in x and y but $\frac{0}{4}$ ≠ $\frac{2}{10}$

≠ $\frac{4}{16}$ ≠ $\frac{6}{22}$ , then they don't share the same ratio

Now lets find the false statement

A proportional relationship must graph as a line ⇒ True

A graph of a proportional relationship must pass through (0 , 0) ⇒ True

Each point (or pair) in a proportional relationship must share

the same ratio ⇒ True

From the example above:

Each point (or pair) in a proportional relationship must share the

same difference ⇒ False

The false statement is

Each point (or pair) in a proportional relationship must share

the same difference

Answer from: Quest

1. isolate the variable, in this case, d. subtract 35.5 on both sides of the equation.2. 52 subtracted by 35.5 is 16.53. therefore your answer would be d= 16.5this is the basics of pre algebra, isolating variable through adding, subtracting, multiplying, and dividing, if you have any other questions to ask just comment!

Answer from: Quest

solution:

the given function is ,

$f(x) = 4 x^3 - 72 x^2 + 320 x,$

= $4x( x^2- 18 x + 80)\\\\ 4 x(x^2-10 x -8 x + 80) \\\\ 4 x[(x-10)(x-8)]$

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

$f(x) = a x^3+ b x^2 + c x+d,$

sum of the roots = a + b +c= 0+8+10=18= $\frac{-b}{a}$

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 = $\frac{c}{a}$

product of roots = a b c = 0= $\frac{d}{a}$

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function $f(x) = 4 x^3 - 72 x^2 + 320 x,$ is given by entry and exit route of this hall.

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