All categories

3 years ago

Write the following inequality in slope-intercept form. 6x+2y≤46

Mathematics

1 answer:

attashe74 [19]3 years ago

8 0

Answer:

y ≤ -3x + 23

Step-by-step explanation:

1. 6x + 2y ≤ 46

•subtract “6x” from both sides to isolate the “y” variable

2. 2y ≤ 46 -6x

•divide both sides by “2”

3. y ≤ 23 -3x

•reorder the terms so it fits the “y = mx + b” slope-intercept format

4. y ≤ -3x + 23

You might be interested in

Please Help!!

algol13

When you see questions of this nature, test the individual inequalities and look out for their intersection.

For
$y < \frac{2}{3} x$
Choose a point in the lower or upper half plane created by the line
$y = \frac{2}{3} x$
The above line is the one which goes through the origin.

Now testing (1,0) yields,

$0 < \frac{2}{3} (1)$
That is,

$0 < \frac{2}{3}$
This statement is true. So we shade the lower half of
$y = \frac{2}{3} x$

For
$y \geqslant - x + 2$
We test for the origin because, it is not passing through the origin.

$0 \geqslant - (0) + 2$
This yields
$0 \geqslant 2$
This statement is false so we shade the upper half.

The intersection is the region shaded in B. The top right graph

8 0

4 years ago

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sur

Readme [11.4K]

Show a picture and answer to choose from

4 0

3 years ago

The volumes of two similar figures are given. The surface area of the larger figure is given. Find the surface area of the small

frez [133]

Answer:

surface area of the smaller figure ≈ 1474.64 m²

Step-by-step explanation:

The figures are similar base on the question . The surface area and the volume of the larger figure is given while only the figure of the smaller figure is given.

To find the surface area of the smaller figure we simply use the ratios. That is the scale factors.

Therefore, they are similar figure the scale factor can be represented as a:b.

The scale factor for volume is cubed.

volume of larger figure/volume of the small figure = a³/b³

4536/2625 = a³/b³

a/b = 16.5535451/13.7946209

Note that for two similar solid with scale factor a:b the surface area ratio is a²: b² (the scale factor is square)

16.55²/13.79² = 2124/x

273.9025/190.1641 = 2124/x

cross multiply

273.9025x = 403908.54840

x = 403908.54840/273.9025

x = 1474.6435261

x ≈ 1474.64 m²

4 0

3 years ago

Amber has some state quarters in her pocket. She collects the following data by randomly pulling one quarter recordings the stat

ch4aika [34]

To do this problem, we need one more piece of information. He need to know the percent of the quarters that are from New York.

If you had that number, just multiply it by 300.

For example, if 10% of the coins were from New York, just multiply by 0.1.
0.1 x 300 = 30

4 0

3 years ago

Folosind procedeul mersului invers afla pentru can numarul stiind ca: a) daca la acel numar aduni 1345 apoi scazi 155 obtii numa

earnstyle [38]

Yeah I think so you have to solve and break it down

7 0

3 years ago