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Korolek [52]
1 year ago
7

When Tomas simplified the expression -2.6 + (-5.4), he got 2.8. what mistake did Tomas likely make?

Mathematics
1 answer:
vladimir2022 [97]1 year ago
5 0

Tomas used incorrectly the rule of signs, the expression should be simplified as follows:

-2.6 + (-5.4)

-2.6 -5.4 = 8

<h3></h3><h3>What mistake did Tomas likely make?</h3>

Here Tomas wants to perform an addition between two numbers:

-2.6 + (-5.4)

And the outcome that Tomas gets is:

-2.6 + (-5.4) = 2.8

Here his mistake seems to bee that he thought the second number was a positive number, and he solved the operation:

-2.6 + 5.4

So, he used wrong the rule of signs.

Remember that the rule of signs says that:

(-)*(+) = (+)*(-) = (-)

Using that, we can rewrite the original expression:

-2.6 + (-5.4)

to:

-2.6 - 5.4

Solving that, we get:

-2.6 - 5.4 = -8

Which is the outcome that Tomas would have gotten if he had used correctly the rule of signs.

If you want to learn more about the rule of signs:

brainly.com/question/13333620

#SPJ1

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enyata [817]

Answer:

  d. √(1/(x+1))

Step-by-step explanation:

Just as operations can be performed on numbers and variables, so can operations be performed on functions. Here, you're asked to simplify the ratio of two functions.

  \displaystyle\left(\frac{g}{f}\right)(x)=\frac{g(x)}{f(x)}=\frac{\sqrt{x-1}}{\sqrt{x^2-1}}=\sqrt{\frac{x-1}{x^2-1}}

At this point, you're supposed to know the factoring of the difference of squares:

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4 0
2 years ago
Solve the following:<br> a) 4x 3= 2x + 7<br><br> b) 2x+6= 7x14
nikdorinn [45]
<h2><u>Correct question</u> : 4x - 3 = 2x + 7 </h2>

<h2><u>Solution</u> : 4x - 3 = 2x + 7 </h2>

4x - 2x = 7 + 3 \\  \\ 2x = 10 \\  \\ x =  \frac{10}{2}  \\  \\ x = 5.

<h2>•••••••••••••••••••••••••••••••••••••••</h2>

<h2><u>Correct Question</u> : 2x + 6 = 7x - 14</h2>

<h2><u>Solution</u> : 2x + 6 = 7x - 14</h2>

2x - 7x =  - 14 - 6 \\  \\  - 5x =  - 20 \\  \\ x =  \frac{20}{5}  \\  \\ x = 4.

7 0
1 year ago
Rita has a rope 5 m long. She cuts it into 2 pieces of length 2 m 30 cm and 1 m 65 cm.
Diano4ka-milaya [45]

Answer:

3m 95cm

Step-by-step explanation:

its... simple math? i added 2 and 1; and 30 and 65?

6 0
3 years ago
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Marina86 [1]

18/40 = 9/20 =

Simplified

3 0
2 years ago
Read 2 more answers
The variables x and y vary directly. When x is 3, y is 6. Find x when y = 2/3
nasty-shy [4]
X=3
y=6

y=2x
2/3=2x
(2/3)/2=x
(2/3)×(1/2)=x
2/6=x
x=1/3
7 0
2 years ago
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