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Anni [7]
3 years ago
5

Which graph shows the solution of the inequality? - x/2 ≤ 8

Mathematics
1 answer:
lesya [120]3 years ago
7 0
I cant read the options but i know that graphing it, the answer would be x <span>≤ 16
</span>                                                        this is supposed to go the other way . ^
                    the symbol i mean, the one i have the arrow pointing to, lol.  ^
                                                                                                                    ^
hope you understand, and i hope i helped, and that my answer is in one of the options.
                                                                                                                     
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For each ordered pair (x,y) determine whether it is a solution to the inequality 7x+2y&gt;_26
MA_775_DIABLO [31]

The inequality is given as,

7x+2y>-26

Consider that any ordered pair (x,y) is said to be the solution of the inequality if the ordered pair gives a true result when substituted in the inequality.

Consider the ordered pair (4,-9),

\begin{gathered} 7(4)+2(-9)>-26 \\ 28-18>-26 \\ 10>-26 \end{gathered}

Clearly, the result is true. So it can be concluded that (4,-9) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (4,-9).

Consider the ordered pair (3,4),

\begin{gathered} 7(3)+2(4)>-26 \\ 21+8>-26 \\ 29>-26 \end{gathered}

Clearly, the result is true. So it can be concluded that (3,4) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (3,4).

Consider the ordered pair (-4,0),

\begin{gathered} 7(-4)+2(0)>-26 \\ -28+0>-26 \\ -28>-26 \end{gathered}

Clearly, the result is false as -28 is not actually greater than -26.

So it can be concluded that the ordered pair (-4,0) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-4,0).

Consider the last ordered pair (-6,8),

\begin{gathered} 7(-6)+2(8)>-26 \\ -42+16>-26 \\ -26>-26 \end{gathered}

Note that the numbers on both sides of the inequality are identical. So there should be the symbol of equality, not inequality. So, it can be concluded that this ordered pair (-6,8) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-6,8).

4 0
2 years ago
HELP ME WITH THIS QUESTION AS SOON AS POSSIBLE
bixtya [17]

Answer:

the answer is 2880

Step-by-step explanation:

because you would use the formula (n - 2) x 180 which equals the sum interior angles of any polygon .

The letter n stands for number of sides so in this case you would do (18 - 2) x 180 so 16 × 180 = 2880

hope this helped :) pls ask if you need any more explanation .

pls give brainliest if you like my answer :)

5 0
1 year ago
A woman’s store sells the following categories of clothing for the following prices blouse Ghc14 each, skirt Ghc16 each, dress G
Sindrei [870]

\huge\colorbox{red}T\colorbox{orange}h\colorbox{yellow}a\colorbox{green}n\colorbox{blue}k\colorbox{purple}s

5 0
3 years ago
(2-3x)(5x+1) FACTORISER
Reptile [31]

Answer:

-15x2 + 7x + 2

Step-by-step explanation:

4 0
3 years ago
The sun is directly overhead. The shadow of the balloon falls
Mariana [72]

The height of the ballon is 34 feet 2 inches.

To be able to solve this question, we need to understand the concept of angle of elevation.

<h3>What is the angle of elevation?</h3>

An angle of elevation is the angle formed between the horizontal plane (adjacent line) to the line of sight(elevation) from the viewer's eye to the object located in the space.

  • The diagrammatic expression for the question given can be seen in the image attached below.

From the image below, we can determine the height of the ballon by taking the tangential trigonometric function.

\mathbf{tan \theta = \dfrac{opposite}{adjacent}}

\mathbf{tan \ 67= \dfrac{x}{14 ft \ 3 in }}

Let's first convert 14 ft 6 in to ft, by doing so, we get 14.5 ft

\mathbf{tan \ 67= \dfrac{x}{14.5\ ft }}

x = tan 67 (14.5 ft)

x = 2.356(14.5 ft)

x =34.162 ft

To ft and inches, we have:

x = 34 ft 2 inches

Learn more about angles of elevation here:

brainly.com/question/25748640

5 0
3 years ago
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