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Ber [7]
3 years ago
7

Complete the tables below by using the properties of operations (help)

Mathematics
1 answer:
disa [49]3 years ago
6 0

Answer:

-3(4x+3)+5x (Given)                                    1/2 (6k+10)+5k  (given)

-12x-9+5x  (distribution)                             3k+5+5k (distribution)

-12x+5x-9  (associative)                              3k+5k+5 (associative)        

-7x-9 (Combine like terms)                         8k+5 (combine like terms)

Step-by-step explanation:

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Answer:

35

Step-by-step explanation:

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|x|+5=18 a. 5 or -5 b.13 or -13 c.18 or -18 d.23 -23
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Which are the solutions of the quadratic equation?
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4 years ago
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If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
seropon [69]

Answer:

7x-7

Step-by-step explanation:

We have been given that PR=4x-2 and RS=3x-5. We are asked to find the expression that represents length of PS.

We know that PS=PR+RS.

Upon substituting our given values in above equation, we will get:

PS=4x-2+(3x-5)

PS=4x-2+3x-5

PS=4x+3x-2-5

PS=7x-7

Therefore, the expression 7x-7 represents length of PS.

3 0
4 years ago
If 5x=y+75x=y+7, is (x−y)&gt;0(x−y)&gt;0? (1) xy=6xy=6 (2) xx and yy are consecutive integers with the same sign
crimeas [40]

Answer:

No. If 5x=y+7 then xy=6 and (2) x and y are consecutive integers with the same sign. for xy=6

Step-by-step explanation:

<u>For the sake of clarity:</u>

If 5x=y+7 then (x – y) > 0?

Alternatives:

(1) xy = 6  

(2) x and y are consecutive integers with the same sign

1) Consider (x-y)>0 as true:

xy=6 Numbers like, 3*2, 6*1, etc..

5x=y+7\Rightarrow \frac{5x}{5}=\frac{y+7}{5}\Rightarrow x=\frac{y+7}{5}\\Plugging\: in:\:\\\frac{y+7}{5}-y>0\Rightarrow \frac{y+7-5y}{5}>0\Rightarrow \frac{-4y+7}{5}>0\Rightarrow \frac{-4y+7}{5}*5>0*5\\-4y+7>0 *(-1)\Rightarrow 4y-7\frac{7}{4}\therefore y

Since y in this hypothetical case is lesser then let's find x, let's plug in y 1 for a value lesser than 1.75:

Then xy≠6 and no and 8/5 (1.75) is a rational number. What makes false the second statement about consecutive integers.

So this is a Contradiction. (x-y) >0 is not true for 5x=x+7.

2) Consider:

x and y are consecutive integers with the same sign is true.

Algebraically speaking, two consecutive integers with the same sign can be  written as:

y=x+1

Plugging in the first equation (5x=y+7):

5x=x+1+7⇒4x=8 ⇒x =2

Since y=3 then x=2 because:

3=x+1\\3-1=x+1-1\\2=x \Rightarrow x=2

3) Testing it

5x=y+7\\\\5(2)=(3)+7\\\\10=10\:True

xy=6\\2*3=6\\6=6

5 0
4 years ago
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