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Ne4ueva [31]
4 years ago
6

Consider the equation below.

Mathematics
2 answers:
stiv31 [10]4 years ago
8 0
1. open parentheses ,so 
distribute <span>-3 to 4x and -7
2. add to both sides of the equation </span><span>2x
3. </span>subtract from both sides of the equation 21
4. divide both sides of the equation by -10
Gre4nikov [31]4 years ago
8 0

Answer:

Step 1: Multiply by -3 to 4x and -7

Step 2: Add 2x

Step 3: Subtract 21

Step 4: Divide by -10                  

Step-by-step explanation:

Given the equation

-3(4x-7) = 15 -2x

The solution is

Step 1: -12x + 21 = 15 - 2x

step 2: -10x + 21 = 15

step 3: -10x = -6

step 4: x = \frac{-6}{-10}

step 5: x = \frac{3}{5}

we have to complete the statements with the process used to achieve steps 1-4.

-3(4x-7) = 15 -2x

First opening the brackets by applying distributive property i.e by multiplying

Step 1: Multiply by -3 to 4x and -7

We get -12x + 21 = 15 - 2x

Step 2: Add 2x

⇒  -10x + 21 = 15

Step 3: Subtract 21

-10x = -6

Step 4: Divide by -10

x = \frac{-6}{-10}

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What is the place value of 8 in 281,480,100​
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Marianna [84]

Answer:

  B. {16, 19, 20}

Step-by-step explanation:

The <em>triangle inequality</em> requires for any sides a, b, c you must have ...

  a + b > c

  b + c > a

  c + a > b

The net result of those requirements are ...

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  • the length of the third side lies between the difference and sum of the other two sides

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If we look at the offered side length choices, we see ...

  A: 8+11 = 19 . . . not > 19; not a triangle

  B: 16+19 = 35 > 20; could be a triangle

  C: 3+4 = 7 . . . not > 8; not a triangle

  D: 5+5 = 10 . . . not > 11; not a triangle

The side lengths {16, 19, 20} could represent the sides of a triangle.

_____

<em>Additional comment</em>

The version of triangle inequality shown above ensures that a triangle will have non-zero area.

The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")

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Answer:

B.

Step-by-step explanation:

factored form actually contains the x intercepts right in it. Basically whatever sets the whole equation equal to zero.

On the graph you can see that it passes through both positive and negative 4. so (x+4)(x-4) is the answer because plugging in 4 for x will make it zero. Same for plugging in negative 4

Hope this helps!

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3 years ago
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