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hichkok12 [17]
3 years ago
6

|20x|=2|2x+8| please show all steps and both answers

Mathematics
1 answer:
lukranit [14]3 years ago
7 0

Step-by-step explanation:

20x = 4x +16

16x = 16

x=1

multiply the 2 into the absolute value bars. check if there are negatives. if there aren't, bars can be removed. solve as normal

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Find a power series representation for the function; find the interval of convergence. (Give your power series representation ce
Lera25 [3.4K]

Answer:

1/5.

Explanation:

Note that the sum of infinite geometric series is equally to: a/ (1 - r). Where a = first term and r is the common ratio.

Hence, if f(x) = 3/(1 - 5x) ^2. Therefore, taking the another derivative of f(x)` = 30/ (1 - 5x)^3.

Also, f(x)`` = 450/ ( 1 - 5 )^4 and f(x)``` = 9000( 1 - 5x)^5 and f(x)```` = 225000/( 1 - 5x)^6.

If we are to use the Taylor's series formula then;

F(0) + f'(0) + f"(0)/2! × x^2 + f'''(0)/3! × x^3.

[ NOTE: f(0) = 3, f''(0) = 30, f'''(0) = 9000, f''''(0) = 225000].

450/2! = 225, 9000/ 3! = 1500 and 225000/4! = 9375..

Which gives; 3 + 30x + 225x^2 + 1500x^3 + 9375x^4. The ratio test will then give us our answer as 1/5.

As stated above, alternatively we can make use of the sum of geometric series where |x| < 1/5

8 0
2 years ago
X y
kirza4 [7]

Answer:

B) y=-5x-27

Step-by-step explanation:

Sorry if its incorrect

7 0
3 years ago
Quadrilaterals WXYZ and W"X"Y"Z"are similar. Identify the type of reflection
Anna71 [15]

Answer:

B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across

the x-axis and dilated with a scale factor of 1/2

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

If a point A(x, y) is reflected across the x axis the new point is at A'(x, -y)

Dilation is the enlargement or reduction in the size of a figure by a scale factor. If a point A(x, y) is dilated by a scale factor of k about the center of origin, the new point is at A'(kx, ky).

The vertex of Quadrilaterals WXYZ is at W(-6, 8), X(-2, 8), Y(-2, 2), Z(-6, 8) while the vertex of Quadrilaterals W"X"Y"Z" is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)

If quadrilateral WXYZ is reflected across  the x-axis, the new coordinates would be at W'(-6, -), X'(-2, -8), Y'(-2, -2), Z'(-6, -8). If the quadrilateral is then dilated with a scale factor of 1/2, the new point is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)

5 0
2 years ago
Y+2=-3/2(x+2) in slope intercept form
Aleksandr [31]

Answer:

y = -3/2x -5

Step-by-step explanation:

We want slope intercept form which is y = mx+b

Y+2=-3/2(x+2)

Distribute

y+2 = -3/2x -3

Subtract 2 from each side

y+2-2 = -3/2x -3-2

y = -3/2x -5

5 0
2 years ago
 please help asap 
IrinaVladis [17]
The equtaion has only one solution because they cut each other only once <span>and the are independent ..as both line are different. So </span>it would be (d) consistent and independent
4 0
3 years ago
Read 2 more answers
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