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vampirchik [111]
3 years ago
9

Which expression represents the composition [fo g](x) for the functions below?

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0

Answer:

2x - 9

Step-by-step explanation:

f o g(x) is f(g(x))

Replace x in 2x + 3 with x - 6 giving you 2(x-6) + 3

Simplified: 2x - 12 + 3 then 2x - 9

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Solve each system of equations using the elimination method<br><br> 3x+8y=2<br> 4x-2y=-10
LenaWriter [7]

x = -2

y = 1

let's multiply second equation by 4 to get a common coefficient of y variable.

16x-8y=-40

add the equations

3×+8y=2

16x-8y=-40

----------------

3x+16x = -38

19x = -38

x = -2

substitute x

3×-2 + 8y = 2

-6 + 8y = 2

8y = 2+6

y = 1

check the answer

-6+8 = 2

-8-2= -20

8 0
3 years ago
The perimeter of a square is 80 cm. What is the area?
Vesna [10]

Answer:

A = 400 cm^2

Step-by-step explanation:

The perimeter of a square is given by

P = 4s where s is the side length

80 = 4s

Divide each side by 4

80/4 = 4s/4

20 =s

We want to find the area of the square

A = s^2

A = 20^2

A = 400 cm^2

4 0
3 years ago
Suppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying withi
RSB [31]

Answer:   (0.273,\ 0.783)

Step-by-step explanation:

Given : Total number of students who are asked to complete a survey anonymously : n= 240

Number of students

The proportion report that they have experienced bullying =54

Then , the proportion that students have experienced bullying =p=\dfrac{54}{240}=0.225

Significance interval : \alpha=1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

The confidence interval for the true proportion is given by :-

p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.225\pm (1.96)\sqrt{\dfrac{(0.225)(1-0.225)}{240}}\\\\\approx0.225\pm0.0528\\\\=(0.255-0.528,\ 0.255+0.528)\\\\=(0.273,\ 0.783)

8 0
3 years ago
How many ways can you arrange SONG
maxonik [38]

Song= sngo, sogn, gnso, gosn, gnos, snog, 6 ways ?

5 0
4 years ago
Read 2 more answers
Please find the answer
Serggg [28]

Answer:

x^3 + 1/x^3 = 488

Step-by-step explanation:

  • x^2 + 1/x^2 = 62
  • x^2 + 1/x^2 + 2 = 64
  • ( adding 2 in both sides )
  • (x + 1/x ) ^2 = 64
  • x + 1/x = 8

now,

  • ( x+ 1/x ) ^ 3 = 512
  • x^3 + 1/x^3 + 3 × x × 1/x ( x + 1/x )
  • x^3 + 1/x^3 + 3 ( 8 )
  • ( since x + 1/x = 8 )
  • x^3 + 1/x^3 + 24 = 512
  • x^3 + 1/x^3 = 488

hence, we got x^3 + 1/x^3 = 488

8 0
3 years ago
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