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Ad libitum [116K]
3 years ago
10

Simplify (a+1/a)^2-(a-1/a)^2​

Mathematics
1 answer:
scoray [572]3 years ago
4 0
Answer: 4/a

Explanation:
(a+1/a)^2 - (a-1/a)^2
= (a^2 + 2a + 1)/a^2 - (a^2 - 2a + 1)/a^2
= (a^2 + 2a + 1 - a^2 + 2a - 1)/a^2
= 4a/a^2
= 4/a
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Which statement describes the effect on the parabola f(x)=2x•x-5x+3 when changed to f (x)= 2x•2-5x+1
o-na [289]

Answer:

The parabola is translated down 2 units.

Step-by-step explanation:

You have the parabola f(x) = 2x² – 5x + 3

To change this parabola to f(x) = 2x² - 5x + 1, you must have performed the following calculation:

f(x) = 2x² – 5x + 3 -2= 2x² - 5x + 1  <u><em>Expresion A</em></u>

The algebraic expression of the parabola that results from translating the parabola f (x) = ax² horizontally and vertically is g (x) = a(x - p)² + q, translating in the same way as the function.

  • If p> 0 and q> 0, the parabola shifts p units to the right and q units up.
  • If p> 0 and q <0, the parabola shifts p units to the right and q units down.
  • If p <0 and q> 0, the parabola shifts p units to the left and q units up.
  • If p <0 and q <0, the parabola shifts p units to the left and q units down.

In the expression A it can be observed then that q = -2 and is less than 0. So the displacement is down 2 units.

This can also be seen graphically, in the attached image, where the red parabola corresponds to the function f(x) = 2x² – 5x + 3 and the blue one to the parabola f(x) = 2x² – 5x + 1.

In conclusion, <u><em>the parabola is translated down 2 units.</em></u>

3 0
3 years ago
F(x) = x + 4<br> G(x) = x^2 + 4<br> Find (fog) (3)
Anika [276]
Answer: 17

Steps:

1. Plug in (3) into “x” of the g(x) equation:
g(3) = (3)^2 + 4
g(3) = 9 +4
g(3) = 13

2. Plug in g(3) value into “x” of the f(x) equation:
f(g(3)) = x + 4
f(g(3)) = 13 + 4
f(g(3)) = 17
5 0
3 years ago
29. March sales accounted for 1/7 of the total number of jazz records sold all year. About how many jazz records were sold all y
enot [183]

The March sales of Jazz records is an illustration of proportions, and the number of jazz records sold all year is 7x

<h3>How to determine the total number of sales?</h3>

The sales in March is given as:

Proportion = 1/7

Let the actual number of sales in the month of March be x, and the total sales in the year be y.

So, we have:

1/7 * y = x

Make y the subject

y =7x

Hence, the number of jazz records sold all year is 7x

Read more about proportions at

brainly.com/question/1781657

#SPJ1

8 0
2 years ago
A tree in Susan's backyard has been growing for 2 1/2 years. The tree is 3/5 meters tall. What is the unit rate in meters per ye
liubo4ka [24]

Hope the attachment helps

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charle [14.2K]
The answer of this problem will be 622 because you round that eight to the one and get your answer
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