Solve: 3x - 2x + 4 = 5x - 4x - 8 A) 3 B) 6 C) -3 Eliminate D) no solution
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Let's call that number x, twice the number will be 2x, sum of it and 5 is, 2x+5. So if this expression is at most 15, it means, it can be only less than 15 and equal to 15. Let's show this as an inequality.
Let's solve.
![x\quad \in \quad \left[ -\infty ,5 \right]](https://tex.z-dn.net/?f=x%5Cquad%20%5Cin%20%5Cquad%20%5Cleft%5B%20-%5Cinfty%20%2C5%20%5Cright%5D%20)
If the number is a natural number. The values it can take is,![x\quad \in \quad \left[ 0,1,2,3,4,5 \right]](https://tex.z-dn.net/?f=x%5Cquad%20%5Cin%20%5Cquad%20%5Cleft%5B%200%2C1%2C2%2C3%2C4%2C5%20%5Cright%5D%20)
Let's solve.
If the number is a natural number. The values it can take is,
Shifts:
Shifted three units right and two units up to match the blue parabola
Stretches:
It doesn't have any stretches
Symmetry:
x and y intercepts:
x intercpets: It has no x-intercepts
y-intercepts: (0, 11)
<h2>Explanation:</h2>The pattern of the quadratic function is:
Whose graph is shown below as the red parabola.
So here we need to identify some characteristics of:
Whose graph is shown below as the blue parabola.
As you can see, the blue parabola is a transformation of the red parabola. The rule is as follows:
- The red parabola has been shifted three units right and two units up to match the blue parabola.
This is so because, for any function:
We have the following transformations:
On the other hand, the blue graph has neither stretches nor x intercepts. Finally, its axes of symmetry is . The y-intercept is (0, 11) is indicated in the figure.
Shifting graphs: brainly.com/question/10010217
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