Let f(x)=9x-2 and g(x)=-x+3. find f(g(x)).

Answers

Answer 1

Answer: $f(g(x))=9(-x+3)-2 \n f(g(x))= -9x+27-2 \n f(g(x))= -9x+25$

Answer 2

Answer: $f(x)=9x-2;\ g(x)=-x+3\n\nf(g(x))=9(-x+3)-2=-9x+27-2=-9x+25$

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Whats the answer with the work
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A person weighs 77.1 kg. What is his weight in pounds?
What is the equation of the given line in standard form? Use integer coefficients y = 5/7x - 12 A. -5x + 7y = -12 B. -5x - 7y = -84 C. -5x + 7y = -84 D. 5x + 7y = -84

If the nth term of a sequence is 12n+2 what is the 7th term

Answers

just subsitute 7 for n
12(7)+2
84+2
86
86 is 7th term

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Joe's taxable income is $67,825. Use this tax schedule to calculate the total amount he owes in taxes.1. $8,993.752. $13,380.003. $12,348.80

Answers

the total amount he owes in taxes $13,380.003

Table:

If Taxable Income Is Over -- But Not Over

$\left[\begin{array}{ccc}$0&$7,825\n$7,825&$31,850\n$31,850&$77,100\n$77,100&$160,850\n$160,850&$349,700\n$349,700&No-Limit\end{array}\right]$

The Tax Is:

10 percent of the amount over $0

$782.50 plus 15 percent of the amount over 7,825

$4,386.25 plus 25 percent of the amount over 31,850

$15,698.75 plus 28 percent of the amount over 77,100

$39,148.75 plus 33 percent of the amount over 160,850

$101,469.25 plus 35 percent of the amount over 349,700

Answer Choices:

$\left[\begin{array}{ccc}A.$12,348.80\nB.$4,386.25\nC.$13,380.00\nD.$8,993.75\end{array}\right]$

Answers:

$\left[\begin{array}{ccc}A.$12,348.807&Wrong\nB.$4,386.25&Wrong\nC.$13,380.00&Correct\nD.$8,993.75&Wrong\end{array}\right]$

Hot Shot Electronics is designing a packing box for itsnew line of Acoustical Odyssey speakers. The box is a
rectangular prism of length 45 centimeters, width
30 centimeters, and volume 81,000 cubic centimeters.
What is the height, in centimeters, of the box?
A. 75
B. 60
C. 48
D. 27
E. 18

Answers

Volume = (length) x (width) x (height)

81,000 = (45) x (30) x (height)

Height = (81,000) / (45 x 30) = 60 cm

V=81 000cm³

V=Ab *h

Ab=L*w

Ab=45*30
Ab=1350cm²

V=1350*h

1350*h=81 000

h=81 000/1 350
h=60cm answer variant b)

The raidus of circle p the larger circle is 7 times the radius of circle 0 the smaller circle. What is the ratio of the area of circle to the area of circle p?Your choices are: 1 to 7, 7 to 1, 49 to 1 , 1 to 49
plz explain

Answers

since we know that the radius of circle p is 7 times that of the radius of circle o we can say that radius of circle p equals 7x and the radius of circle o is x.
using the area formula we can say that area of circle p equals

The graph below shows the value of Edna's profits f(t), in dollars, after t months:graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0 and vertex at 12, negative 36

What is the closest approximate average rate of change for Edna's profits from the 12th month to the 18th month?

(A)5.92 dollars per month
(B) 3.75 dollars per month
(C) Five dollars per month
(D) Nine dollars per month

Answers

Average rate of change= $(0-(-36))/(18-12)= (36)/(6)=6$
The closest approximate average rate of change is :A) 5.92 dollars per month.

Based on the calculations, the closest approximate average rate of change for Edna's profits is equal to 5.92 dollars per month.

How to calculate the closest approximate average rate of change?

In order to calculate the closest approximate average rate of change based on the values contained in the graph, we would use the slope formula as follows:

$Slope = (Change\;in\;y\;axis)/(Change\;in\;x\;axis)\n\nSlope = (y_2\;-\;y_1)/(x_2\;-\;x_1)$

Substituting the given points into the formula, we have;

$Slope = (0\;-\;(-36))/(18\;-\;12)\n\nSlope = (36)/(6)$

Slope = 6.

Therefore, the closest approximate average rate of change for Edna's profits is equal to 5.92 dollars per month.

Read more on slope here: brainly.com/question/3493733

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A snowbank that is 6 inches deep is melting at a rate of 0.5 inch per hour. Write a linear function to model the scenario and identify the domain and range of the function.

Answers

Answer:

y = -0.5x + 6, Domain [0,12] and Range [0, 6]

Step-by-step explanation:

The slope in a linear function represents the rate of change. Since the amount of snow is decreasing (indicating a negative slope) at 0.5 inches an hour, our slope would be -0.5.

Our y intercept, 6, would be the starting amount of snow. At 0 hours, no snow has been melted.

Our domain is [0,12] these are the x values from where at zero there is 6 inches of snow and at 12 there is 0 inches of snow.

Finally, our range is [0,6]. Since there cannot be no more than 6 or less than 0 inches of snow, our range is [0,6]

Hope this helped!

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