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2 years ago

Graph the solution set of this inequality 3x-2y <_ 12

Mathematics

1 answer:

nadezda [96]2 years ago

8 0

The graph of the solution set for the inequality can be seen below.

<h3>How to graph the solution set?</h3>

Here we have the inequality:

3x - 2y < -12

If we isolate y, we get:

3x + 12 < 2y

(3x + 12)/2 < y

(3/2)x + 6 < y

Now, we just need to graph the line y = (3/2)x + 6 with a dashed line (because the points on the line are not solutions).

And then we need to shade the region above the line.

The graph of the solution set can be seen below.

If you want to learn more about inequalities:

brainly.com/question/18881247

#SPJ1

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mayam bought potato chips to school she share 1/4 of her chips with friends and 1/8 of her chips with her teacher how many has s

nika2105 [10]

$\huge\underline\mathtt\colorbox{cyan}{3/8}$

$\huge\mathsf\colorbox{white}{}$

<h2>Step-by-step explanation :</h2>

Total shared part:

1/4 + 1/8

Taking LCM and adding:

2/8+1/8

Adding gives:

3/8

4 0

3 years ago

The area of a triangle is 10 square feet.

xeze [42]

Answer:

20 square feet

Step-by-step explanation:

Area of a triangle is half the area of a rectangle. (when they have the same length and width!)

To get the area it would be 10 *2 = 20

7 0

3 years ago

What are the zeros of this function

Irina18 [472]

Answer: The correct option is

(A) x = 4 and x = 6.

Step-by-step explanation: We are given to find the zeroes of the graphed function.

We know that

the zeroes of a function y = f(x) are those values of x for which the value of the function (y) becomes zero.

That is, the points on the co-ordinate plane where the function meets the X-axis.

From the graph, we see that

when y = 0, then the values of x are x = 4 and 6.

Therefore, the zeroes of the graphed function are x = 4 and x = 6.

Thus, option (A) is CORRECT.

6 0

3 years ago

A quadrilateral has vertices at A(–5, 5), B(1, 8), C(4, 2), D(–2, –2). Use slope to determine if the quadrilateral is a rectangl

lianna [129]

With the properties of rectangle in mind we must perform two verification. Verify to see if opposite sides are parallel and adjacent sides are perpendicular.

We need to determine the slope of each side, using the formula,

$m=\frac{y_2-y_1}{x_2-x_1 }$

<u>Slope of AB</u>

$m_{AB}=\frac{8-5}{1--5}$

$\Rightarrow m_{AB}=\frac{8-5}{1+5}$

$\Rightarrow m_{AB}=\frac{3}{6}$

$\Rightarrow m_{AB}=\frac{1}{2}$

<u>Slope of BC</u>

$m_{BC}=\frac{2-8}{4-1}$

$\Rightarrow m_{BC}=\frac{-6}{3}$

$\Rightarrow m_{BC}=-2$

<u>Slope of CD</u>

$m_{CD}=\frac{-2-2}{-2-4}$

$\Rightarrow m_{CD}=\frac{-2-2}{-2-4}$

$\Rightarrow m_{CD}=\frac{-4}{-6}$

$\Rightarrow m_{CD}=\frac{2}{3}$

<u>Slope of AD</u>

$m_{AD}=\frac{-2-5}{-2--5}$

$\Rightarrow m_{AD}=\frac{-2-5}{-2+5}$

$\Rightarrow m_{AD}=\frac{-7}{3}$

<u>Verify Parallel sides</u>

If the quadrilateral is a rectangle, then opposite sides should have the same slope. But

$m_{AD} = \frac{-7}{3} \neq m_{BC}=-2$

$m_{AB}=\frac{1}{2} \neq m_{CD}=\frac{2}{3}$

<u>Verify Perpendicularity</u>

And also the product of slopes of all sides with a common vertex should be -1. But

$m_{AB} \times m_{BC}=\frac{1}{2} \times -2=-1$

$m_{AB} \times m_{AD}=\frac{1}{2} \times -\frac{7}{3} \neq -1$

$\Rightarrow m_{CD} \times m_{AD}=\frac{2}{3} \times -\frac{7}{3} \neq -1$

$\Rightarrow m_{CD} \times m_{BC}=\frac{2}{3} \times -2 \neq -1$

Since the quadrilateral fails to satisfy all these conditions, the quadrilateral is not a rectangle

6 0

3 years ago

The table below shows the number of strawberries and cups of water

Masteriza [31]

Answer:

5/64 of a cup.

Step-by-step explanation:

Is there two columns of data and two data points? Like this:

Strawberries Water

384 30

320 25

If so, then there are two ways to do it.

1) You can set up a ratio like this

384/30 = 1/x

Where x is the number of cups of water for 1 strawberry.

So,

x = 30/384 of a cup

x = 5/64 of a cup.

2) Look at the increase from one to the other.

64 strawberries requires 5 cups of water

Divide by 5 by 64 to get the water for one strawberry

5/64 of a cup.

5 0

3 years ago