Which property of equality was used to solve this equation? x − 5 = -14 x − 5 + 5 = -14 + 5 x = -9

Mathematics

1 answer:

Reika [66]3 years ago

7 0

Answer:

Additive property

Step-by-step explanation:

Given

$x - 5 = -14$

Required

The property used

In the 2nd step, 5 was added to both sides, i.e.

$x - 5+5 = -14 + 5$

<em>The above is an illustration of additive property of equality, i.e. Adding or subtracting the same variable or constant to both sides of an equation</em>

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A group of artists is selling small prints to raise money for charity. They sell p prints, and make a profit of f(p) on the sale

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The correct answer is is D) If the group sells 15 prints they will loose $85.

To figure out which statement is true, we have to evaluate the function ,

$p(x)=17x-340$ for all the values given in options (A)-(D). A negative output represents a loss and a positive output will represent a profit.

In A $p=12$ so $f(12)=17\times 12-340=-136$ . In this case we gather that if they sell 12 prints, they will make a loss of $136. This tells us that option A is wrong.

In B, $p=28$ so $f(28)=17\times 28-340=136$ . In this case we gather that if they sell 28 prints, they make a profit of $136. This tells us that option B is wrong.

In C, $p=35$ so $f(35)=17\times 35-340=225$ . In this case we gather that if they sell 35 prints, they make a profit of $225. This tells us that option C is wrong.

Lastly, $p=15$ so $f(15)=17\times 15-340=-85$ . In this case we gather that if they sell 28 prints, they make a loss of 85 dollars. From this we gather that D is the correct option.