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icang [17]
3 years ago
14

Please help ASAP I have no clue how to do this

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0
These piecewise functions are several graphs pieced together. Where one ends the other begins.

The greater than (> or <) symbol means an open circle at that point. If it is greater than or equal to (>=) then you put a closed solid circle.

start with the first one
-2x + 3 where -4 =< x < -1
put in these values for x
solid circle at (-4, 11)
open circle at (-1, 5)
graph is a straight line so connect the circles

next one
|2x -1| where -1 < x < 2
absolute value graphs are V-SHAPED where y is always positive. solve for vertex (x, 0)
0 = 2x -1
x = 1/2
(1/2, 0) vertex of V
solve for endpoints, both are open circles
(-1, 3)
(2, 3)

next one is easy. it's just a solid point
When y = 5 ; x = 2
(2,5)

last is a parabola, or just half of a parabola, aka bowl shaped graph
3x^2 - 1 when x > 2
plug in x = 2
open circle at (2, 11)
you can put in another x value greater than 2 to find a second point to help draw the graph but it's just a curve upward that continues with an arrow, no endpoint
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1. x/x+3 + x+2/x+5
mars1129 [50]

Answer:

1. x = √(73)/2 - 9/2 or x = -9/2 - √(73)/2

2. x = (512 2^(1/3) + (18 i √(16303) + 16222)^(2/3))/(6 (9 i √(16303) + 8111)^(1/3)) + 16/3 or x = 16/3 + (256 (-1)^(2/3))/(3 (1/2 (9 i √(16303) + 8111))^(1/3)) - 1/3 ((-1)/2)^(1/3) (9 i √(16303) + 8111)^(1/3) or x = ((-2)^(2/3) (9 i √(16303) + 8111)^(2/3) - 512 (-2)^(1/3))/(6 (9 i √(16303) + 8111)^(1/3)) + 16/3 or x = 1/3 (10 - 3 √(11))^(-1/3) ((-1)^(1/3) (10 - 3 √(11))^(2/3) - (-1)^(2/3)) - 1/3 or x = 1/3 ((-10 - 3 √(11))^(1/3) - (-1)^(1/3) (3 √(11) - 10)^(1/3)) - 1/3 or x = 1/3 (10 - 3 √(11))^(-1/3) (-(10 - 3 √(11))^(2/3) - 1) - 1/3

3. x = 2/5 or x = (i √(3))/2 - 1/2 or x = -(i √(3))/2 - 1/2

4. x = 1/4 + (4 √(54714) + 441)^(1/3)/(4 3^(2/3)) - 61/(4 (12 √(54714) + 1323)^(1/3)) or x = (-(-3)^(1/3) (4 √(54714) + 441)^(2/3) - 61 (-3)^(2/3))/(12 (4 √(54714) + 441)^(1/3)) + 1/4 or x = (61 (-3/(441 + 4 √(54714)))^(1/3) + (-1)^(2/3) (441 + 4 √(54714))^(1/3))/(4 3^(2/3)) + 1/4

Step-by-step explanation:

Too long! I try to add to the comments!

4 0
3 years ago
Please solve thanks tyyy
tino4ka555 [31]

Step-by-step explanation:

x = 1/2 Arc AB ( Relation between inscribed angle and corresponding arc)

x = 1/ 2 * 124

x = 62°

y = x ( Inscribed angles on standing on same arc are equal)

y = 62°

Hope it will help :)

6 0
3 years ago
3times what to get -2
Arisa [49]

Answer: -0.6 recurring

Step-by-step explanation:

-2/3 = -0.6 recurring

3 0
3 years ago
Read 2 more answers
Rewrite the fraction as a decimal 13/11 = Round to the nearest hundredth.​
Allisa [31]

Answer:

1.18

Step-by-step explanation:

4 0
3 years ago
How many 150 mL glasses can I fill with 5 bottles of soft drinks each hold 1.2 L​
Liono4ka [1.6K]

Answer:

<h2>you can fill 40 (150ml) glasses with 5 bottles of soft drinks</h2>

Basic fact:

<em>there are 1000 ml in a litre</em>

Step-by-step explanation:

let us do

5 x 1.2

= 6

now let's turn 6 litres in ml

6 x 1000

=6000

now we need to do

6000/150

instead of doing such big numbers, lets do

600/15

=40

8 0
2 years ago
Read 2 more answers
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