All categories

1 year ago

Solve the inequalities by graphing. Select the correct graph. 2x - y > 4 2x - y < -2

1 answer:

4 0

The solution will be the point of intersection of the lines and since the lines are parallel to each other, there is no solution

<h3>System of inequality</h3>

Inequality are expressions not separated by an equal sign. Given the following inequalities

2x - y > 4

2x - y < -2

The lines for both inequality must be dashed since they do not include equal sign. The first line will be shaded in the upper part while the second in the lower portion

The solution will be the point of intersection of the lines

Learn more on inequality graph here: brainly.com/question/24372553

#SPJ1

You might be interested in

A car travels 0.75 miles every minute, how could you explain how to use proportional reasoning to find how far the car travels i

VikaD [51]

Answer: 45 miles in one hour

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

If x+y=12 and xy=15,find the value of (x^2+y^2)

Mice21 [21]

Answer: $x^2+y^2=\dfrac{105\pm 18\sqrt6}{2}$

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

EQ1: x + y = 12 --> x = 12 - y

EQ2: xy = 15

Substitute x = 12-y into EQ2 to solve for y:

(12 - y)y = 15

12y - y² = 15

0 = y² - 12y + 15

↓ ↓ ↓

a=1 b= -12 c=15

$.\ y=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\.\quad =\dfrac{-(-12)\pm \sqrt{(-12)^2-4(1)(15)}}{2(1)}\\\\\\.\quad =\dfrac{12\pm \sqrt{144-120}}{2}\\\\\\.\quad =\dfrac{12\pm \sqrt{24}}{2}\\\\\\.\quad =\dfrac{12\pm 2\sqrt{6}}{2}\\\\\\.\quad =6\pm \sqrt{6}$

Now, let's solve for x:

$xy=15\\\\x(6\pm\sqrt6)=15\\\\x=\dfrac{15}{6\pm\sqrt6}\\\\\\x=\dfrac{15}{6\pm\sqrt6}\bigg(\dfrac{6\pm\sqrt6}{6\pm\sqrt6}\bigg)=\dfrac{6\pm \sqrt6}{2}$

Lastly, find x² + y² :

$y^2=(6\pm \sqrt6)^2\quad \rightarrow \quad y^2=36\pm 12\sqrt6 +6\quad \rightarrow \quad y^2=42\pm 12\sqrt6$

$x^2=\bigg(\dfrac{6\pm \sqrt6}{2}\bigg)^2\quad \rightarrow \quad x^2=\dfrac{42\pm 12\sqrt6}{4}\quad \rightarrow \quad x^2=\dfrac{21\pm 6\sqrt6}{2}$

$x^2+y^2=\dfrac{21\pm 6\sqrt6}{2}+42\pm 12\sqrt6\\\\\\.\qquad \quad = \dfrac{21\pm 6\sqrt6}{2}+\dfrac{84\pm 24\sqrt6}{2}\\\\\\. \qquad \quad = \dfrac{105\pm 18\sqrt6}{2}$

5 0

3 years ago

5(3+t)-3(t+1) I don't understand how to do this problem.

shtirl [24]

Okay, just break it up so you're not overwhelming yourself or anything :)
So here, do it in steps-

Let's do 5(3 + t) first:
Distribute the 5, or in non-mathematical terms, just multiply 5 by 3 and t. This will give you 15 + 5t.

Now onto -3(t + 1):
Again, just multiply -3 by t and 1. This will come out to: -3t - 3.

*Note: the 3 is negative because it's "MINUS 3" in the original equation and remember that any number times a negative, if it isn't negative itself, will turn out to be negative.... (aka "-" x "-" = "+" | "+" x "+" = "+" | "-" x "+" = "-")*

ANYWAY
Now just put both answer together and you get:
15 + 5t -3t - 3. You can only add and minus the LIKETERMS (which are the things that are the same) - in this case, the liketerms are 15 and -3 ,,,, AND 5t and -3t.

15 - 3 = 12
5t - 3t = 2t

12 + 2t is your final answer. Hope that helps! :)

7 0

3 years ago

Identify the multiples of the given numbers.

inn [45]

1. 6, 12, 18
2. 8,16,24
3. 12, 24, 36
4. 15, 30, 45, 60
4. 30, 60, 90

5 0

3 years ago

Read 2 more answers

Please help me on this will give you brainliest

Gnoma [55]

15/20 and 16/20
4/5 or 16/20 is greater

7 0

2 years ago