3x-4y=6 converted to slope intercept form

Mathematics

1 answer:

Elena L [17]3 years ago

5 0

Answer:

-4y = 6 - 3x

y = (3/4)x - 3/2

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A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist

Dvinal [7]

Answer:

The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is:

Negative slope.
Constant slope.

Decreasing function.

Step-by-step explanation:

We are given a graph that represents the relationship between the Number of Balloons Hats and the number of balloons remaining.

Clearly from the graph we could that it is a linear function.

Also, the function is a decreasing function since with the increase of one variable that is the number of Balloon hats produced the other variable i.e. Balloons remaining is decreasing.

Also, we can calculate the slope of the line.

as the line is passing through (0,500) and (100,0)

Hence, the slope of line is:

$Slope=\dfrac{0-500}{100-0}\\\\Slope=\dfrac{-500}{100}\\\\Slope=-5$

Hence, the graph has a negative slope.

Also, we know that a slope of a line is always constant.

So, the correct statements are:

Negative slope.

Constant slope.

Decreasing function.

5 0

3 years ago

Read 2 more answers

If angle 2 measures 155 degrees in the image below and what is the measurement of angle 1

Degger [83]

<h2>Answer:</h2>

<em>Angle 1 measures 25 degrees</em>

<h2>Explanation:</h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll assume the diagram shown below. In that figure, we know that:

$\angle 1=? \\ \\ \angle 2=155^{\circ}$

The figure shows that these two angles are supplementary, so they add up to 180 degrees. Therefore:

$\angle 1+\angle 2=180^{\circ} \\ \\ Substituting \ \angle 2=155^{\circ}: \\ \\ \angle 1+155^{\circ}=180^{\circ} \\ \\ \\ Isolating \ \angle 1: \\ \\ \angle 1=180^{\circ}-155^{\circ} \\ \\ \boxed{\angle 1=25^{\circ}}$