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nignag [31]
3 years ago
15

Evaluate each expression. Determine if the final simplified form of the expression is positive or negative -42 (-4)2 42

Mathematics
1 answer:
Sati [7]3 years ago
8 0

Answer:

Given the expression:

1.

-4^2

we know:

4^2 = 4 \times 4 = 16

then;

-4^2 = -16

Therefore, the value of expression -4^2 is -16 i.e negative.

2.

(-4)^2

we know:

4^2 = 4 \times 4 = 16

(-1)^2 = 1

then;

(-4)^2 = (-1)^2 \cdot (4)^2= 16

Therefore, the expression (-4)^2 is 16 i.e Positive.

3.

4^2

we know:

4^2 = 4 \times 4 = 16

then;

4^2 = 16

Therefore, the expression 4^2 is 16 i.e Positive.


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diamong [38]

Answer:

 A-2, B-DNE*, C-3, D-DNE, E-4, F-1

---------------------

The first attachment shows the solutions to A and C.

The second attachment shows the solutions to E and F.

There are no real number solutions to systems B and D.

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In general, you can solve the linear equation for y, then substitute that into the quadratic. You can subtract the x-term on the left and complete the square to find the solutions.

A.

 (3-x) +12 = x^2 +x

 15 = x^2 + 2x

 16 = x^2 +2x +1 = (x +1)^2 . . . . add the square of half the x-coefficient to complete the square; next take the square root

 ±4 -1 = x = {-5, 3) . . . . . identifies the second solution set for system A

__

B.

 (x -1) -15 = x^2 +4x

 -16 = x^2 +3x

 -13.75 = x^2 +3x +2.25 = (x +1.5)^2

roots are complex: -1.5 ±i√13.75

__

C.

 (1-2x) +5 = x^2 -3x

 6 = x^2 -x

 6.25 = x^2 -x + .25 = (x -.5)^2

 ±2.5 +.5 = x = {-2, 3} . . . . . identifies the third solution set for system C

__

remaining problems are done in a similar way.

_____

* DNE = does not exist. There is no matching solution set for the complex numbers that are the solutions to this.

---------------------

<em>Hope this helps!</em>

<em />

<u>Brainliest would be great!</u>

<u />

---------------------

<em><u>With all care,</u></em>

<em><u>07x12!</u></em>

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3 years ago
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ollegr [7]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
A 26' Long painting is how many yards Long
Alenkinab [10]
In one foot, there are 0.33 yards.
Therefore, you need to multiply 26 by 0.33
20x0.33= 6.6
6x0.33= 1.98 yards.
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Therefore, in a 26' long painting, there are 8.58 yards
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3 0
4 years ago
Read 2 more answers
The table shows the results of a survey on people’s favorite fruit. What percent of the people chose strawberry as their favorit
Sphinxa [80]

<u><em>Answer:</em></u>

24.2%

<u><em>Explanation:</em></u>

<u>The percentage of people choosing strawberry can be calculated as follows:</u>

Percentage = \frac{PeopleChoosingStrawberry}{TotalNumberOfSurveyedPeople} * 100

<u>We have:</u>

Number of people choosing strawberry = 15 people

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<u>Substitute in the above rule to get the percentage as follows:</u>

Percentage = \frac{15}{62}*100 = 24.19 = 24.2%

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3 years ago
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Answer: y = 2.50x

Step-by-step explanation:

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