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2 years ago

Let f(x)=1/x and g(x)=x^2-2x What two numbers are not in the domain of f o g?

Mathematics

1 answer:

Brrunno [24]2 years ago

4 0

Answer:

First find f o g (x)

f o g (x) = 1 / x² - 2x

To find the numbers which are not in the domain of f o g equate the denominator to zero

x² - 2x = 0

x(x - 2) = 0

x = 0 and x = 2

The two numbers which are not in the domain of f o g are 0 and 2.

Hope this helps.

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For each babysitting job, Tamar charges $6 for bus fare plus $8 per hour. She only accepts babysitting jobs if the total charge

gregori [183]

Answer:

B. 3 hours

Step-by-step explanation:

It’s 6+8x=30

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2 years ago

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“Write an equation and solve for the unknown” I know it’s a lot but can someone help me with this

Svetradugi [14.3K]

Answer:

g) x = 30

h) x = 30

i) m = 55

j) x = 24

k) k = 45

Step-by-step explanation:

all angles of a triangle add up to 180.

the square in the bottom right of the triangle is 90 btw

2x + x + 90 = 180

3x + 90 = 180

3x + 90 - 90 = 180 - 90

3x = 180 - 90

3x = 90

3x/3 = 90/3

x = 30

this is an Isosceles triangle.

that means the bottom two angles are equal.

75 + 75 + x = 180

x + 150 = 180

x + 150 - 150 = 180 - 150

x = 180 - 150

x = 30

2m is supplementary to the bottom right angle of the triangle.

that means they add together to make 180.

80 + 30 + (180 - 2m) = 180

110 - 2m = 180 - 180

110 - 2m = 0

110 = 2m

110/2 = m

55 = m

to save time I'm not going to write out the steps, its the same as the i.

2x + 3x + (180 - 120 ) = 180

5x + 60 = 180

5x = 180 - 60

5x = 120

x = 120/5

x = 24

imagine this as a triangle and a square.

sorry I'm not sure how to explain this -.-

but the equation would be

k + k + 90 = 180

2k + 90 = 180

2k = 180 - 90

2k = 90

k = 45

Im not sure how to solve this, I'm sorry :( hope you figure it out!

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3 years ago

Mae Ling earns a weekly salary of $310 plus a 7.5% commission on sales at a gift shop. How much would she make in a work week if

Illusion [34]

Answer: 662.50 dollars

==========================================================

Explanation:

If she doesn't sell a single thing, she still earns the base weekly salary of $310. This is the smallest amount she can earn per week.

If she does make sales, then she'll earn an additional 0.075x dollars where x is the amount of sales made (the total value of the merchandise). The 0.075 is the decimal form of 7.5%

In total, she makes 0.075x+310 dollars per week. In this case, she sold x = 4700 dollars worth of goods, which means,

0.075x+310 = 0.075*4700+310 = 662.50

She earned 662.50 dollars for that week.

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2 years ago

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The half-life of the radioactive element unobtanium-43 is 10 seconds. If 48 grams of unobtanium-43 are initially present, how ma

natka813 [3]

Answer:

At time, 10 seconds, the mass remaining is 24 grams

At time, 20 seconds, the mass remaining is 12 grams

At time, 30 seconds, the mass remaining is 6 grams

At time, 40 seconds, the mass remaining is 3 grams

At time, 50 seconds, the mass remaining is 1.5 grams

Step-by-step explanation:

Given;

initial mass of the radioactive element = 48 grams

half life, t = 10 seconds

time of decay (s) remaining mass of the radioactive element

0 ------------------------------------------------- 48 grams

10------------------------------------------------- 24 grams

20 ------------------------------------------------- 12 grams

30 -------------------------------------------------- 6 grams

40 --------------------------------------------------- 3 grams

50 ----------------------------------------------------- 1.5 grams

60------------------------------------------------------0.75 grams

Thus;

At time, 10 seconds, the mass remaining is 24 grams

At time, 20 seconds, the mass remaining is 12 grams

At time, 30 seconds, the mass remaining is 6 grams

At time, 40 seconds, the mass remaining is 3 grams

At time, 50 seconds, the mass remaining is 1.5 grams

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3 years ago

determine the slope-intercept form of the equation of the line parallel to y=-4/3x + 11 that passes through the point (-6,2

Zielflug [23.3K]

is it...

y=-4/3x+10

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1 year ago