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STALIN [3.7K]
3 years ago
5

To fill out a sign chart, you will need to use test numbers before and after each of the function's zeros and ___

Mathematics
1 answer:
Vikki [24]3 years ago
7 0

Answer:

C. asymptotes

Step-by-step explanation:

In the figure attached, a sign chart is shown. To fill it out you need to find the function's zeros and asymptotes. The zeros are those x values that makes the function equal to zero, in the example, those are the x values that make the denominator equal to zero (x = -1 and x = 5). In a rational function, the asymptotes are those x values that make the numerator equal to zero (x = -9 in the example)

Function in the example:

\frac{(-2x-2)(2x-10)}{-9x-81}

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Solve 2x2 8x - 12 = 0 by completing the square. show step-by-step solution
malfutka [58]
Group x terms
(2x^2+8x)-12=0
undistribute 2
2(x^2+4x)-12=0
take 1/2 of 4 and square it, add negative and positive of it insde (2^2=4)
2(x^2+4x+4-4)-12=0
factor perfect square
2((x+2)^2-4)-12=0
distribute
2(x+2)^2-8-12=0
2(x+2)^2-20=0
add 20 to both sides
2(x+2)^2=20
divide both sides by 2
(x+2)^2=10
sqrt both sides, remember to take positive and negative root
x+2=+/-√10
minus 2 both sides


x=-2+√10 and -2-√10
8 0
3 years ago
Compare the graph of the function, g(x)=(1)/(x-1)-3(, with the graph of its parent function. ) Which of the following options be
mars1129 [50]

Answers:

right 1, down 3 (these two answers only)

Step-by-step explanation:

There are two transformations going on. The first of which is the horizontal or x translation (aka shifting) where the 'x' turns into 'x-1'. This moves the xy axis 1 spot to the left, giving the illusion that the graph moves 1 unit to the right.

The "-3" at the end shifts the graph down 3 units. If g(x) = f(x) - 3, then g(x) is the output of f(x) but 3 less than that, which is why it shifts down 3 units.

4 0
3 years ago
412.638 in expanded form using fractions and decimals (5th)
RoseWind [281]

i think its 400+10+2+.6+.03+0.008

6 0
3 years ago
PLEASE help I am almost done with this
liubo4ka [24]

Hello from MrBillDoesMath!

Answer:  B

Remark:   It is customary to use x^2,  not x2, to indicate the square of x.


Discussion:

(4x + 3) ^ 2=   ( 4x)^2 + 2 * (4x)(3) + 3^2 =

                       16 x^2 + 24x  + 9


Thank you,

MrB

7 0
3 years ago
I think the last question today lol
ivolga24 [154]

Answer:

the picture is not clear

Step-by-step explanation:

5 0
3 years ago
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