Mathematics, 09.11.2019 05:31 daijahamaker062816

Brainliest

this graph shows a proportional relationship.

what is the constant of proportionality?

enter your answer as a ratio in simplified form in the box.
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Brainliest this graph shows a proportional relationship. what is

Answers: 3

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Answer from: senituliii

the answer is 3/2

Step-by-step explanation:

hope this helps

Answer from: PENTALIZARD2834

Direct proportionality states that:

if $y \propto x$

then;

y = kx .....[1] where, k is the constant of proportionality.

As per the statement:

The graph shown a proportional relationship.

From the graph we have;

$(\frac{1}{4}, \frac{3}{8})$

⇒ $x = \frac{1}{4}$ and $y = \frac{3}{8}$

Substitute these values in [1] we have;

$\frac{3}{8} = k \cdot \frac{1}{4}$

Multiply both sides by 4 we have;

$\frac{3}{2} = k$

$k = \frac{3}{2}$

Therefore, the constant of proportionality is, $\frac{3}{2}$ or 3: 2

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 = $6^{2}$

x = 3, y = 216 = $6^{3}$

x = 4, y = 1296 = $6^{4}$

x = 5, y = 7776 = $6^{5}$

so, the geometric series obtained is $6, 6^{2}, 6^{3}, 6^{4}, 6^{5}$ .

thus, the common ratio is given by $\frac{6^{2}}{6}$ = $\frac{36}{6}$ = 6.

hence, the common ratio is 6.

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Brainliest

this graph shows a proportional relationship.

what is the constan...