Which statement about the graph is true?

Mathematics

2 answers:

nignag [31]2 years ago

5 0

<h2>Answer:</h2>

The statement that is true about the graph is:

The graph does not show a proportional relationship because each point written as ratio gives a different value.

<h2>Step-by-step explanation:</h2>

A graph is said to have a proportional relationship if it is a straight line passing through the origin.

i.e. a variable must be a constant multiple of the other variable.

i.e. y=kx

From the given graph we have a straight line that passes through (0,2) and (2,3)

Hence, the equation of line is:

$y-2=\dfrac{3-2}{2-0}\times (x-0)\\\\\\i.e.\\\\\\y-2=\dfrac{1}{2}x\\\\\\i.e.\\\\\\y=\dfrac{1}{2}x+2$

Hence, the graph does not show a proportional relationship as the equation of the graph is not of the form y=kx

This means that $\dfrac{y}{x}\neq k$

for some constant k.

lions [1.4K]2 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

Given the function f(x)=3x+5a / x^2-a^2 find the value of a for which f'(12) = 0

maria [59]

The function, as presented here, is ambiguous in terms of what's being deivded by what. For the sake of example, I will assume that you meant

3x+5a
<span> f(x)= ------------
</span> x^2-a^2

You are saying that the derivative of this function is 0 when x=12. Let's differentiate f(x) with respect to x and then let x = 12:

(x^2-a^2)(3) -(3x+5a)(2x)
f '(x) = ------------------------------------- = 0 when x = 12
[x^2-a^2]^2

(144-a^2)(3) - (36+5a)(24)
------------------------------------ = 0
[ ]^2

Simplifying,

(144-a^2) - 8(36+5a) = 0

144 - a^2 - 288 - 40a = 0

This can be rewritten as a quadratic in standard form:

-a^2 - 40a - 144 = 0, or a^2 + 40a + 144 = 0.

Solve for a by completing the square:

a^2 + 40a + 20^2 - 20^2 + 144 = 0
(a+20)^2 = 400 - 144 = 156

Then a+20 = sqrt[6(26)] = sqrt[6(2)(13)] = 4(3)(13)= 2sqrt(39)

Finally, a = -20 plus or minus 2sqrt(39)

You must check both answers by subst. into the original equation. Only if the result(s) is(are) true is your solution (value of a) correct.

6 0

2 years ago

louis and valentina have 60 toys to build louis builds 1/2of the toys while valentina builds 2/5 how many toys are left

vodka [1.7K]

Answer:

Step-by-step explanation:

1/2 = 0.5

2/5 = 0.4

60 × 0.5 = 30

60 × 0.4 = 24

30 + 24 = 54

60 - 54 = <u>6</u>