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alex41 [277]
3 years ago
6

PLEASE HELP!!! PLATO ALGEBRA 2

Mathematics
1 answer:
andrey2020 [161]3 years ago
8 0

Answer:

(gof) (4) = 9

Hence, option A is true.

Step-by-step explanation:

f(x)=-x³

g(x)=|1/8x -1|

(gof) (4) = g{f(4)}

First wee need to determine f(4)

f(4)=-(4)³

    = -64

so

  (gof) (4) = g{f(4)} = g(-64)

                             =  \left|\frac{1}{8}\left(-64\right)-1\right|

                             =\left|-\frac{1}{8}\cdot \:64-1\right|

                             =\left|-8-1\right|

                             =\left|-9\right|

\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a

                             =9        

Thus,

(gof) (4) = 9

Hence, option A is true.

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Find the equation of the circle. With center at (-3, 1) and point on the circle= (5, -3).
patriot [66]

Answer:

(x + 3)² + (y - 1)² = 80

Step-by-step explanation:

Circle equation: (x - h)² + (y - k)² = r²

We are given <em>h</em> and <em>k</em>, so we just plug that in:

(x + 3)² + (y - 1)² = r²

To find <em>r</em>, we need to use distance formula: d = \sqrt{(x2-x1)^2+(y2-y1)^2} between the center of the circle and the point on the circle. We should get √80 as <em>r</em>. We plug that in to get our answer:

(x + 3)² + (y - 1)² = 80

3 0
3 years ago
You randomly survey students about whether they like hamburgers or hot dogs. of 129 students who like hamburgers, 46 like hot do
Ludmilka [50]

 Here is the two-way table and the marginal frequencies in bracket:                          

                                 Like hamburger    do not like hamburger      Total

Like hot dog                    46(0.16)             54 (0.10)                        100(0.36)

Do not like hot dog          83(0.30)           95 (0.34)                        178(0.64)

Total                                 129 (0.46)             149 (0.54)                  278(1)

<h3>What is the two-way table?</h3>

Number of people who like hamburger but do not like hot dog = 129 - 46 = 83

Number of people who do not like hamburger and do not like hot dog = 149 - 54 = 95

Total number of people who like hot dog = 46 + 54 = 100

Total number of people who do not like hot dog = 83 + 95 = 178

Total = 100 + 178 = 278

The marginal frequency can be determined by dividing each number by the total number of people in the survey.

  • marginal frequency of people who like hot dog = 100 / 278 = 0.36
  • marginal frequency of people who do not like hot dog = 178 / 278  = 0.64

To learn more about two way frequency tables, please check: brainly.com/question/27344444

#SPJ1

3 0
2 years ago
7th grade math help me plzzz
gladu [14]

Answer:

-3+4 or 4+-3

Step-by-step explanation:

Take both numbers than put together plz mark me brainiest  

3 0
4 years ago
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there arre 160 boys and girls playing in the soccer game 32 of students are wearing orange what %of the players are wearing oran
mash [69]

Answer:

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Step-by-step explanation:

To find this, set up a ratio of percent over 100 equals is over of. Is being 32 and of being 160.

\frac{32}{160} = \frac{x}{100}

Then, cross multiply. Multiply 32 by 100 before dividing by 160 in order to get the final answer of 20%.

32 x 100 = 3200

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Hope this helps!

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