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3 years ago

Determine for each number whether it is a rational or irrational number.

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

3 0

The first is an irrational number and the rest are rational
Any number that can be reduced or written as a fraction is a rational number
Hoped this helped

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Martha's house is 17 m long and 21 m wide. How long is the diagonal of the house?

melamori03 [73]

Answer:

≈ 27 m

Step-by-step explanation:

Assuming the house is in the form of rectangle:

Length = 17 m
Width = 21 m
Diagonal =?

As per Pythagorean,

d = √l²+w² = √17² +21² = √289+441 = √730 ≈ 27 m

5 0

3 years ago

franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. As

Furkat [3]

To solve this question the equation is
175=75+50m
Where m is the number of months
Solve the equation for m
175-75=50m
100=50m
M=100÷50
M=2 months

8 0

3 years ago

What is the answer I need help pls

shutvik [7]

Answer:

The answers are,

-3, -7

-2, 4

0, 2

2, 8

3, 11

Step-by-step explanation:

You just plug in the domain values into the equation and solve for f(x), so your domain number is your x value and the y value(f(x) value) is the answer

5 0

3 years ago

Consider the functions f(x) = 2x - 3 and g(x) = 6 + 8/x. Solve for f(g(4))

ExtremeBDS [4]

Answer:

Step-by-step explanation:

Given the equations f(x) = 2x - 3 and g(x) = 6 + 8/x.

We want to find f(g(4))

Essentially, what we are doing, is plugging in 4 into x for g(x) and the outcome of that is what we plug into x for f(x)

So first lets plug in 4 into x for g(x)

g(x) = 6 + 8/x.

We want to find g(4)

g(4) = 6 + 8/4

First divide 8 by 4

g(4) = 6 + 2

Then add 6 and 2

g(4) = 8

Now that we have found g(4) we want to plug the value of g(4), so 8 into f(x)

f(x) = 2x - 3

we want to find f(8)

f(8) = 2(8) - 3

* multiply 2 and 8 *

f(8) = 16 - 3

* subtract 3 from 16 *

f(8) = 13

and we are done!

So we can conclude that f(g(4)) = 13

5 0

3 years ago

12 men working 8 hours a day complete a piece of work in 10 days to complete a the same work in 8 days working 15 hours a days t

daser333 [38]

12 men : 8 hours : 10 days

// Find if every man works 1 hour

12 x 8 men : 1 hour : 10 days

96 men : 1 hour : 10 days

//Find if every man works 15 hours

96 ÷ 15 men : 15 hours : 10 days

6.4 men : 15 hours : 10 days

//Find if every man works 1 day

6.4 x 10 men : 15 hours : 1 day

64 men : 15 hours : 1 day

//Find if every man works 8 days

64 ÷ 8 men : 15 hours : 8 days

8 men : 15 hours : 8 days

Answer: 8 men is needed

5 0

3 years ago