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mario62 [17]
3 years ago
6

2x + 3 + 4x + 8 = 3x - 10

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

\text {Hello! Let's solve this Equation!}

\text {Your First Step is to Simplify the Equation:}

\text {(2x+4x)+(8+3)}

\text {6x+11=3x-10}

\text {The Next Step is to Subtract 3x:}

\text {6x+11-3x=3x-10-3x}\\\text {3x+11=-10}

\text {Next Step is to Subtract 11:}

\text {Q: Why Subtract 11?}

\text {A: So they cancel out. We cross them out once we subtract.}

\text {3x+11-11=-10-11}\\\text {3x=-21}

\text {The Final Step is to Divide 3:}

\text {3x/3=-21/3}

\text {Your Answer will be}

\fbox {x=-7}

\text {Best of Luck!}

\text {-LimitedX}

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Answer:

  5.1%

Step-by-step explanation:

The proceeds of the loan are ...

  13000 -625 = 12375

The amount repaid is 13000. That amount is ...

  13000/12375 = 1.05050505...

times the proceeds. So, the effective interest rate is ...

  1.05051 -1 = 5.051% ≈ 5.1%

5 0
3 years ago
The set of ordered pairs below represents a function.
ArbitrLikvidat [17]

Given:

The set of ordered pairs below represents a function.

{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)}

Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function.

To find:

All the ordered pairs that could be used to show that this claim is incorrect.

Solution:

We need to find the ordered pairs that can be replaced with (6,-10) and for which the set is not a function.

A relation is called function if there exist a unique output for each input.

If (-9,-6) is replaces with (6,-10), then the set has two outputs y=1 and y=-6 for x=-9. So, the claim is incorrect.

If (1,12) is replaces with (6,-10), then the set has two outputs y=12 and y=3 for x=1. So, the claim is incorrect.

If (-10,-10) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.

If (4,7) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.

If (-5,1) is replaces with (6,-10), then the set has two outputs y=1 and y=2 for x=-5. So, the claim is incorrect.

Therefore, the correct options are (a), (b) and (e).

8 0
2 years ago
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x
matrenka [14]

The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 " ⇒ answer C

Step-by-step explanation:

Let us revise some transformation

A vertical stretching is the stretching of the graph away from the x-axis

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.

  • If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k
  • f k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.  

A horizontal stretching is the stretching of the graph away from the y-axis

A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.

  • If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
  • If k should be negative, the horizontal stretch or shrink is followed by a reflection across the y-axis.

∵ f(x) = x

∵ g(x) = f(-10x)

- Substitute x by -10x

∴ g(x) = -10x

∵ x is changed to 10x

- x multiplied by a number means shrink or stretch horizontally

∵ k = 10

∵ 10 > 1

∴ The graph of f(x) is shrunk horizontally by a factor of 10

∵ The value of g(x) is negative

- The negative sign of g(x) means reflection across x-axis

∴ The graph of f(x) is reflected about the x-axis

The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 "

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

5 0
3 years ago
Please help!
Karo-lina-s [1.5K]

Answer:

1st time: 50% chance or 8/16 chance

2nd time: 46% chance or 7/15

I can try again if its wrong

4 0
3 years ago
Read 2 more answers
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