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vampirchik [111]
3 years ago
8

F = 2x + y 3x + 5y = 45 x20 and y20 2x + 4<32

Mathematics
1 answer:
ipn [44]3 years ago
6 0

Answer:

a

Step-by-step explanation:

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Hello can someone try and help me
lyudmila [28]

Answer:

f(x)=-4x+/4

let y=f(x)

y=-4x+4

interchange the role of x & y

x=-4y+4

x-4=-4y

(x-4)/-4=y

y=-(x-4)/4

f-¹(x)=-(x-4)/4

yeah you are right

4 0
2 years ago
Find the volume of the composite figure. Explain your thought, explain how your arrived at your answer. SHOW YOUR WORK FOR FULL
kobusy [5.1K]
We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.

The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
   h = √((15 in)² - (10 in)²) = √115 in

The volume of the conical part of the figure is then
   V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³


The volume of the hemispherical part of the figure is given by
   V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³

Then the total volume of the figure is
   V = (volume of conical part) + (volume of hemispherical part)
   V = (100π√115)/3 in³ + 2000π/3 in³
   V = (100π/3)(20 + √115) in³
   V ≈ 3217.39 in³
4 0
2 years ago
What is the 101st term in the sequence 997, 989, 981, ...?
melamori03 [73]

Answer: first option.

Step-by-step explanation:

Find the common difference d of the arithmetic sequence:

d=a_n-a_{(n-1)}\\d=989-997\\d=-8

Then the formula for the 101st term is the shown below:

a_n=a_1+(n-1)d

Where:

a_1=997\\d=-8\\n=101

Substitute values into the formula. Therefore, you obtain:

a_n=997+(101-1)(-8)=197

4 0
3 years ago
Read 2 more answers
What is −8≥−5x+7≥-33
Anuta_ua [19.1K]
I think the answer is 3 < x < 8. Make sure to have the underlines underneath the < signs!
5 0
2 years ago
The sum of two numbers is 64 and their differences in 10. Find the numbers
uranmaximum [27]

Answer:

37 and 27

Step-by-step explanation:

Lets say that the two numbers are x and y. We get the equations x + y = 64 and x - y = 10. We can then add these two equations together to get, 2x = 74. Then we divide by two on both sides and get x = 37. We then plug this value back into the second equation and get that 37 - y = 10. We can simplify this and we get that y = 27. So our two numbers are 37 and 27.

4 0
2 years ago
Read 2 more answers
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