Mathematics, 26.07.2019 20:30 Morehollie2964

The value of y is directly proportional to the value of x. if y=35 when x=140, what is the value of y when x=70 ?

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There’s two ways to complete this problem.
First way:
Let’s see if y can be multiplied by anything to get to x. We should divide y by x.
35/140
.25
So it looks like y will be 1/4 of x.
Since we know that, we can find the value of y using this equation.
.25x=y
.25•70
17.5
So the value of y when x=70 is 17.5
Second way:
As you can tell, they want us to find the value of y when x is half of what it was before.
140:35
70:y
All we have to do is divide 35 by 2 since that’s what we did to the other side.
35/2=17.5
When x is 70, y is 17.5.

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

step-by-step explanation:

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If f(x) is parallel to the line y=3/4x+2/5, which function could be f(x)?

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