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3 years ago

Select the system of linear inequalities whose solution is graphed. Please help !!!!

Mathematics

1 answer:

GrogVix [38]3 years ago

6 0

$\boxed{y\geq 3x-2, \ x+2y\leq 4}$

<h2>Explanation:</h2>

First of all, we need to know the equations of the given lines. According to the options the equations of the lines are:

1. First equation: Written in Slope-Intercept Form:

$y=3x-2$

2. Second equation: Written in Standard Form:

$x+2y=4$

According to the graph, both lines are dashed meaning both inequalities must include either ≥ or ≤. So let's taste a point on the coordinate system in order to know which option is satisfied:

Hence, let's take point (0, 0):

$y \ (?) \ 3x-2 \\ \\ 0 \ (?) \ 3(0)-2 \\ \\ 0 \ (?) \ -2 \\ \\ \\ So \ 0 \ is \ greater \ than \ -2: \\ \\ 0\geq 2 \\ \\ \\ \\ x+2y \ (?) \ 4 \\ \\ 0+2(0) \ (?) \ 4 \\ \\ 0 \ (?) \ 4 \\ \\ \\ So \ 0 \ is \ less \ than \ 4: \\ \\ 0\leq 4$

Therefore, the correct option is:

$\boxed{y\geq 3x-2, \ x+2y\leq 4}$

<h2>Learn more:</h2>

System of inequalities: brainly.com/question/12890742

#LearnWithBrainly

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The graph of a linear function is shown on the grid

monitta

Answer: Choice A

y + 1 = -3(x+2)

=============================

Explanation:

Let's look through the answer choices.

Choices C and D show that the point (2,1) is on the line. But the graph does not show this. So we can rule out choices C and D.

With choice A, the slope is negative and choice B has a positive slope.

The answer must be choice A because the line is going downhill as we move from left to right.

--------------

A common method is to pick two points on the line and compute the slope using the slope formula

m = (y2-y1)/(x2-x1)

Once you know the slope, you would use point slope form

y - y1 = m(x - x1)

4 0

3 years ago

A temperature of –25°c is equivalent to:<br> a. 248 k.<br> b. 25 k.<br> c. –25 k.<br> d. 298 k.

SpyIntel [72]

The temperature T in Kelvin (K) is equal to the temperature T in degrees Celsius (°C) plus 273.15:

T(K) = T(°C) + 273.15;

So, T(K) = -25 + 273.15;

T(K) = 248.15;

The correct answer is a.

7 0

3 years ago

Dakota has four tents kilogram of clay he divided the clay to make eight equal size pots how many grams of clay are in each pot

sukhopar [10]

Answer:
There are 2.22 grams of clay are in each pot.
Step-by-step explanation:
Given:
Dakota has 4/10 kg of clay. He divides the clay to make 888 equal-sized pots.
Now, to find the number of grams of clay are in each pot.
Dakota has clay =
So, by using conversion factor we convert it into grams:

Quantity of clay he has = 400 grams.
Number of equal-sized pots to make = 888.
Now, to get the quantity of grams of clay are in each pot we divide number of equal-sized pots to make by quantity of clay he has:
Therefore, there are 2.22 grams of clay are in each pot.

5 0

3 years ago

Which set of ordered pairs gives the polygon shown?

makvit [3.9K]

The correct answer is B.

Explanation
Since each interval mark is 1/4 of a unit, we will write this as 0.25. For the first point, 4 interval marks to the left of the y-axis makes it a negative number; 4(0.25) = 1; this makes the x-coordinate of this point -1. 2 interval marks above the x-axis makes it positive; 2(0.25) = 0.5; this makes the y-coordinate 0.5. This makes the first ordered pair (-1, 0.5).

The second point is on the y-axis. This makes the x-coordinate 0. It is 5 intervals above the x-axis; this makes it positive. 5(0.25) = 1.25 will be the y-coordinate, making the point (0, 1.25).

The third point is 3 intervals to the right of the y-axis; this makes it positive, and 3(0.25)=0.75 for the x-coordinate. It is 3 intervals below the x-axis; this makes it negative, and 3(0.25) = 0.75, making the y-coordinate -0.75. This puts the third point at (0.75, -0.75).

7 0

3 years ago

Someone please help me with an explanation please! Asap would be nice :)

Irina18 [472]

HOW TO DETERMINE SLOPE AND Y-INTERCEPT: Use the instructions below to answer this question.

EQUATION: y= $\frac{-3}{4}$ x-3

-------------------------------------------------

<h2>INSTRUCTIONS:</h2>

FINDING THE Y-INTERCEPT:

Do this simply by finding the number your graph starts at on the Y-Axis (vertical line)! In this case, it's at -3!

FINDING SLOPE:

Remember that slope is rise over run ( $\frac{rise}{run}$ )

RISE = How far the line goes <em>up </em>and <em>down</em>.

RUN = How far the line goes <em>left </em>or <em>right</em>.

HOW DO I FIND IT? All you have to do is count both rise and run from one point on the line to another! WARNING: The point must hit at a vertex, it cannot be counted if it is in the center of the box, or anywhere that does not touch the edge. I also suggest starting from the <u>Y-Intercept</u> and counting.

GOING LEFT OR DOWN: This is a positive number

GOING RIGHT OR UP: This is a negative number.

(You will see how this applies, below, yayyyy)

CALCULATING OUR NUMERATOR, AKA RISE:

Starting from the y, to get to the next point on the line, you can see we have to go down three. This means our numerator is -3!

CALCULATING OUR DENOMENATOR, AKA RUN:

Starting from where we just stopped, we must continue getting to the next point, and to do that, you can see we have to go to the right four! This means our denomenator is 4!

6 0

3 years ago