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jeka57 [31]
3 years ago
14

%7D%7B4%7D%20" id="TexFormula1" title=" \frac{1}{4} + \frac{1}{4} + x - \frac{3}{4} " alt=" \frac{1}{4} + \frac{1}{4} + x - \frac{3}{4} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
S_A_V [24]3 years ago
5 0

\dfrac{1}{4}+\dfrac{1}{4}+x-\dfrac{3}{4}=\left(\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{3}{4}\right)+x=\dfrac{1+1-3}{4}+x=\dfrac{-1}{4}+x=x-\dfrac{1}{4}

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The graph of f(x) = x2 was transformed to create the graph of g(x) = (x − 7.5)2. Which of these describes this transformation?
QveST [7]

Answer:

  A.  A horizontal shift to the right 7.5 units

Step-by-step explanation:

Replacing x with x-7.5 shifts the graph 7.5 units to the <em>right</em>.

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In general, g(x) = f(x-h)+k will shift h units right and k units up. In this problem there is no vertical shift.

6 0
2 years ago
A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola yequals=4949minus−xsquared2. Wha
xxMikexx [17]

Answer:

Dimensions of rectangle : Width = 2x , Length = 49 - x^2

Area of Rectangle = 98x - 2x^3

Step-by-step explanation:

A rectangle constructed with its base on the​ x-axis and two of its vertices on the parabola

Supposing coordinates of upper right vertex of rectangle are P = (x,y)

Due to parabola symmetry, width of rectangle is twice the horizontal (X) axis distance between Y axis & point P.

Width of rectangle :  2x

Length of rectangle :  y = 49 - x^2

Area of Rectangle = Length x Width

(2x) (49 - x^2)

= 98x - 2x^3

8 0
3 years ago
Hey, can I please get some help with this? It shouldn’t be too hard, thanks!
Fynjy0 [20]

Answer:

  • (x -3)(x+3)(2x +1)
  • (x -1)(x +1)(x +3)
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Step-by-step explanation:

A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)

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B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)

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C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)

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In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).

_____

The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.

7 0
3 years ago
Pls someone I need help
Vedmedyk [2.9K]

Answer:

B. Dan walked uphill, then downhill.

Step-by-step explanation:

The place that the slope went up is based on the distance from the starting point, so the distance is up then down. I hope this helped and please mark me as brainliest!

5 0
3 years ago
What is the range of range of the relation shown in the table?
seropon [69]

-2Step-by-step explanation:

7 0
3 years ago
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