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atroni [7]
3 years ago
15

is the following example true or false? if false give a counterexample. The sum of two rational numbers is always rational the s

um of two irrational numbers is always irrational
Mathematics
2 answers:
Lina20 [59]3 years ago
7 0

Answer:

two irrational numbers is always irrational

Step-by-step explanation:

zepelin [54]3 years ago
3 0

Answer:

Both are TRUE.

Step-by-step explanation:

The sum of 2 rational numbers is always rational.

The sum of 2 irrational numbers is always irrational.

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Solve the equation 2x3 + 7x2 – 10x – 24 = 0 in the real number system.
Rom4ik [11]

Answer:

x = 2

x = -4

x = -3/2

Step-by-step explanation:

We need to find the roots of the equation

2x^3 + 7x^2 – 10x – 24 = 0

We can factorize the equation into

(x-2)(x+4)(2x + 3) = 0

Roots

x = 2

x = -4

x = -3/2

The answer to your question is also attached in the images below

4 0
3 years ago
Read 2 more answers
Martin says that f(x)=2(4)^x starts at 4 and has a constant ratio of 2. What error did Martin make? Explain.
grigory [225]

Answer:

A general exponential equation is written as:

f(x) = A*(r)^x

Where:

A is the initial value, this is the value that the function takes when x = 0.

r is the rate of growth

x is the variable.

In this case, the function is:

f(x) = 2*(4)^x

The initial value is:

f(0) = 2*(4)^0 = 2*1 = 2

The initial value is 2.

And the rate of growth is 4.

So Martin seems to mixed these two values (he said initial value = 4, and rate  = 2, which is the opposite of what we found)

8 0
2 years ago
3^4x-5=(1/127)^2x+10
erastovalidia [21]
<span>10935/59048 thats as low as i could get it</span>
6 0
3 years ago
If $500 is invested at 8% annual interest, how much will be in the account after 3 years if it's compounded quarterly?
Alchen [17]

Answer:

FV= $634.12

Step-by-step explanation:

Giving the following formula:

Initial investment (PV)= $500

Number of periods (n)= 3*4= 12 quarters

Interest rate (i)= 0.08/4= 0.02

<u>To calculate the future value, we need to use the following formula:</u>

<u></u>

FV= PV* (1 + i)^n

FV= 500*(1.02^12)

FV= $634.12

8 0
2 years ago
Tammy bought 24 apples to feed her horse. She wants to give her horse 2 apples a day. Tammy said that after 10 days she will hav
kipiarov [429]
Yes she is correct..
the reason why is because if she gives her horse 2 apples a day for 10 days, she will have spent 20 apples.
and so to get the number of apples she has remaining after 10 days, just subtract 20 from 24:
   24-20 = 4
and you get four. That means that after 10 days she will indeed have 4 apples left
7 0
3 years ago
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