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4vir4ik [10]
3 years ago
12

F(x) =x^2-4x+2 and g(x) =3x-7 find (fog)(x)​

Mathematics
2 answers:
fgiga [73]3 years ago
7 0

Answer:

9x² - 54x + 79

Step-by-step explanation:

To find (f ○ g)(x) substitute x = g(x) into f(x), that is

f(g(x))

= f(3x - 7)

= (3x - 7)² - 4(3x - 7) + 2 ← expand factor using FOIL

= 9x² - 42x + 49 - 12x + 28 + 2 ← collect like terms

= 9x² - 54x + 79

sergejj [24]3 years ago
3 0

Answer:

Step-by-step explanation:

hello :

F(x) =x²-4x+2 and g(x) =3x-7

(fog)(x)​=f(g(x))=f(3x-7) = (3x-7)²-4(3x-7)+2

(fog)(x)​= 9x²-42x+49-12x+28+2

in standard form : (fog)(x)​= 9x²-54x+79

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melomori [17]

Answer:

Standard form is another way to write slope-intercept form (as opposed to y=mx+b). It is written as Ax+By=C. You can also change slope-intercept form to standard form like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side of the equation to get this: 3/2x+y=3.

Step-by-step explanation:

Standard form is another way to write slope-intercept form (as opposed to y=mx+b). It is written as Ax+By=C. You can also change slope-intercept form to standard form like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side of the equation to get this: 3/2x+y=3.

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3 years ago
Jada is visiting New York City to see the Empire State building. She is 100 feet away when she spots it. To see the top, she has
Ilia_Sergeevich [38]
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3 years ago
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WARRIOR [948]

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Step-by-step explanation:

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down below is a cheatsheet.

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3 years ago
drug sniffing dogs must be 95% accurate in their responses because their handlers don't want them to miss durgs and also don't w
GenaCL600 [577]

Answer:

95% Confidence interval:  (0.8449,0.9951)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 50

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\hat{p} = \dfrac{x}{n} = \dfrac{46}{50} = 0.92

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.92 \pm 1.96(\sqrt{\dfrac{0.92(1-0.92)}{50}})\\\\ = 0.92\pm 0.0751\\\\=(0.8449,0.9951)

(0.8449,0.9951) is the required 95% confidence interval for the proportion of times the dog will be correct.

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3 years ago
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