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S_A_V [24]
3 years ago
12

What is the solution of 6x-20= 4x-4

Mathematics
1 answer:
satela [25.4K]3 years ago
6 0

 

<h3>6x - 20 = 4x - 4</h3><h3>6x - 4x = 20 - 4</h3><h3>2x = 16</h3><h3>x = 16 : 2</h3><h3>x = 8</h3>

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Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = -x2 + 16x – 44?
KatRina [158]

Answer:

Only option D is one of the transformations needed.

Step-by-step explanation:

The graph of f(x)=x^2 is a positive parabola with x=0 as the zero in ordinates and also 0 as a zero x. This is, the graph passes in (0,0) and this is the only point it crosses both axis, then for every x value we will gave a positive f(x).

Here I attach a graph that shows both, f(x)=x^2 and g(x)=-x^2+16x-44.

As you can see, for transforming f(x) in g(x) we need to reflect it over the x axis, as g is open downwards. Then, as the quadratic term is still being x^2 we do not wide it (as you see in the graph both curves are equally widened).

Then, we can also see that the graph is shifted right, so we do not shift it left 8 units (notice that we shift it right 8 units).

So, after reflecting over the x axis and shifting right we need to shift it UP, as we can see the graph is over the x axis.

So, the three transformations needed are:

1. reflect over the x axis

2. shift right 8 units

3. shift up 20 units.

So, from the options you proposed we chose only d, to which we MUST add the transformations noted above.

Sorry for the mistake!

8 0
3 years ago
Read 2 more answers
The following equation will have two solutions, y = x2 - 2x - 15?<br> True<br> False
motikmotik
The answer would be False.
3 0
3 years ago
Mr. Lawrence used 100 tiles when he put a new floor in the kitchen 34 tiles are squares and 16 tiles are rectangles write the to
Oliga [24]
<h3>Fraction of square tiles  = (\frac{4}{25})   = 0.16</h3><h3>Fraction of rectangle tiles  = (\frac{17}{50})   = 0.34</h3>

Step-by-step explanation:

Total number of tiles to be used in the kitchen = 100

The total number of square tiles  = 34

The total number of rectangle tiles  =  16

Now, calculating the total fraction of square tiles:

The fraction of square tiles  = \frac{\textrm{Total number of square tiles}}{\textrm{Total number of tiles}}  = \frac{16}{100}   = \frac{4}{25}

Also, solving the fraction, we get \frac{4}{25}  = 0.16

So, the decimal value of square tiles  = 0.6

Calculating the total fraction of rectangle tiles:

The fraction of rectangle tiles  = \frac{\textrm{Total number of rectangle tiles}}{\textrm{Total number of tiles}}  = \frac{34}{100}   = \frac{17}{50}

Also, solving the fraction, we get \frac{17}{50}  = 0.34

So, the decimal value of rectangle tiles  = 0.34

4 0
3 years ago
Where do you find the solution to a system of liner equations??
oksano4ka [1.4K]

Answer:

The intersection of both lines.

7 0
3 years ago
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What is the solution for <br> 10+2w&gt;=22 or 5w-8&gt;-12
Marina CMI [18]

Answer:

no solution

Step-by-step explanation:

10+2w>=22 or 5w-8>-12

10-2w>=22 or (5w-2w)-8>-12

10>=22 or 3w+8>12

18>=22 or 3w>12

18/3>=22 or 3w/3>12

6>=22 or w>12

3 0
2 years ago
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